EPA-450/3-78-002
         THE  ABILITY
OF ELECTRIC UTILITIES
    WITH  FGD TO  MEET
     ENERGY  DEMANDS
                     by

              Dr. E.P. Hamilton, III

               Radian Corporation
                8500 Shoal Creek
               Austin, Texas 78766
              Contract No. 68-02-2608
        EPA Project Officer: Kenneth R. Durkee
                 Prepared for

     U.S. ENVIRONMENTAL PROTECTION AGENCY
          Office of Air and Waste Management
       Office of Air Quality Planning and Standards
       Research Triangle Park, North Carolina 27711

                 January 1978

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This report is issued by the Environmental Protection Agency to report
technical data of interest to a limited number of readers.  Copies are
available free of charge to Federal employees, current contractors and
grantees, and nonprofit organizations - in limited quantities - from the
Library Services Office (MD-35) , U.S. Environmental Protection Agency,
Research Triangle Park, North Carolina 27711; or,  for a fee, from the
National Technical Information Service, 5285 Port Royal Road, Springfield,
Virginia 22161.
This report was furnished to the Environmental Protection Agency
by Radian Corporation, 8500 Shoal Creek, Austin, Texas 78766, in
fulfillment of Contract No. 68-02-2608.  The contents of this report
ai-e reproduced herein as received from Radian Corporation. The
opinions, findings, and conclusions expressed are those of the author
and not necessarily those of the Environmental Protection Agency.
Mention of company or product names is not to be considered as an
endorsement by the Environmental Protection Agency.
                     Publication No. EPA-450/3-.78-002
                                   11

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                       ACKNOWLEDGEMENT S


          Recognition should be given to the following Radian
personnel who were partners in this research effort and also
co-authored this report:

                     Dr. H. J. Williamson
                     Dr. J. B. Riggs
                     Miss T. J. Anderson

and to Mr. Kenneth R. Woodard, who acted as co-project officer
with Mr. Durkee.

           We also wish to  convey our  sincere appreciation to
the following people who provided data or aided in the data-
gathering for this study:

           Mr. Walter Brown, Executive Vice President, National
             Electric Reliability Council
           Mr. Jerry Weiser, Edison Electric Institute
           Mr. Jerry Albert, East Central Area Reliability
             Coordination Agreement
           Mr. Grady Smith, Vice President, Southern  Company
             Services
           Mr. Harold Tynan, Executive Secretary, Electric
             Reliability Council of Texas
           Mr. Floyd Curran, Mid-America Interpool Network
           Mr. Bill Hulsey, Executive  Director, Southwestern
             Power Pool
           Mr. Dennis Eyre, Administrative Manager, Western
             Systems Coordinating Council
           Mr. Elof  Soderberg,  Chief  Engineer, Lower Colorado
             River Authority
           Mr. R. L. Hancock,  Director, City of Austin Utilities
           Mr. Tom Sweatman,  Chief Engineer, Texas Public
             Utilities  Commission
           Mr. Dennis Haverlaugh, Texas Air Control Board
           Mr. Norton Savage,  Federal  Power Commission
           Mr. Joe Flood,  Federal Power Commission

           We  also convey  our thanks  to the National  Electric
 Reliability  Council  for their granting permission to  reproduce
 certain copyrighted  material  in this  report.

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                    CONTENTS
Acknowlec
Contents-
Figures--
Tables 	
Summary- -
1.
2.
3.
4.








Igements 	




Introduction 	 ; 	
Conclusions 	 " 	
Description of Problem 	
Determination of Effect of FGD on Future
Generation Requirements 	
4.1 Determination of Generation Forecasts 	
4.2 Demand Characteristics 	 : 	
4.3 Determination of Mix of Base-Load and
Intermediate-Load New Coal Units 	
4.4 Outage Rates 	 	
4.5 FGD Energy Penalties 	
4.6 Methodology for Calculation of Incremental
T.nss-n-F-T.nad Probabilities 	
111
IV
vi
vorii
X
1
8
15

18
18
23

30
36
39
41
     4.6.1  Calculation of Distribution of
            Available
            Unit	
Power at a Particular
     4.6.2  Loss-of-Load Probability for a
            Single Generating Unit	

     4.6.3  Expected Effect of FGD on the
            Reliability of a Single Unit	
     4.6.4  Incremental Loss-of-Load Probability
            for a Power System	

     4.6.5  Expected Effect of FGD on System
            Reliability	

Evaluation and Interpretation of Results	

5.1  Effect of FGD on Additional Capacity
     Requirements	
     5.1.1  Effect of FGD on Reliability - Units
            On-line Prior to 1986	
                              41


                              43

                              44


                              46


                              51

                              54


                              55


                              55
                      IV

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CONTENTS--Continued
References

Appendices
              5.1.2  Effect of FGD on Reliability -

.2
. 3
5.4

Units On-line Between 1985 and 2000 --
Evaluation of Interchange Constraints 	
Evaluation of Utility Reserves 	
Sensitivity of Results to Projected Demand
and Generation Mix Statistics 	
57
fi ^
D J
7 A
/ o
Q7
y I
irn
     A.  Calculation of Incremental Loss-of-Load
         Probability for New Coal Generation in a
         Power System-	105
     B.  Estimated Load Factor Calculations by Region	 121

     C.  Incremental Loss-of-Load Probabilities for
         New Coal Only by Region in 2000  - Test Case
         Results	'	131

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                             FIGURES


Number                                                    Pagt

  1   Division of U.S. into NERC Reliability
      Regions	•	<	   3

  2   Division of U.S. into NERC Reliability
      Regions	•	  '15

  3   Typical Weekly Load Curve	  24

  4   Typical Weekly Load Curve Apportioned by
      Prime Mover Type	  25

  5   Expected Load Duration Curve for New
      Base-Load Coal Unit-'	•	  28
  6   Expected Load Duration Curve for New
      Intermediate-Load Coal Unit	  29

  7   1990 Expected Load Duration Curve with
      Typical Apportionment b y Prime Mover Type
      for a Portion of NPCC (Region 6)	  31

  8   1990 Expected Load Duration Curve with
      Typical Apportionment by Prime Mover Type
      for a Portion of SERC (Region 7)	  32

  9   Non-Simultaneous Emergency Transfer
      Capabilities (MWe) - WSCC-				  68.

 10   Non-Simultaneous Emergency Transfer
      Capabilities (MWe) - ERGOT	•	  69

 11   Non-Simultaneous Emergency Transfer
      Capabilities (MWe) - MARCA	  70

 12   Non-Simultaneous Emergency Transfer
      Capabilities (MWe) - SPP			  72

 13   Non-Simultaneous Emergency Transfer
      Capabilities (MWe)  - MAIN--	  73
 14   Non-Simultaneous Emergency Transfer
      Capabilities  (MWe)  -  SERC	:	  74
 15   Non-Simultaneous Emergency Transfer
      Capabilities  (MWe)  -  NPCC	:	  .75

 16   Non-Simultaneous Emergency Transfer
      Capabilities  (MWe)  -  ECAR	  76

 17   Non-Simultaneous Emergency Transfer
      Capabilities  (MWe)  -  MAAC		'  77
 18   Reserve Requirements as a Function of
      Unit Size	   81
                               vx

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FIGURES—Continued

Number                                                      FaSe
  19  NERC Large Unit Construction Forecast - U.S.
      through 1986	   84
  20  NERC Reserve Forecast for Contiguous U. S.	   85
  21  NERC Reserve Forecast for Region 9 - WSCC	   86
  22  NERC Reserve Forecast for Region 5 - MARCA	:	   88
  23  NERC Reserve Forecast for Region 8 - SPP	   89
  24  NERC Reserve Forecast for Region 7 - SERC	   90
  25  NERC Reserve Forecast for Region 4 - MAIN	   91
  26  NERC Reserve Forecast for Region 2 - ERGOT	   92
  27  NERC Reserve Forecast for Region 1 - ECAR	   93
  28  NERC Reserve Forecast for Region 3 - MAAC	   94
  29  NERC Reserve Forecast for Region 6 - NPCC	   95
                                vx i

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                             TABLES
Number                  .                                    Page

  1      FGD System Configurations Studied	   5
  2      Mean Additional Capacity Requirements in
         Percent of New Coal Capacity to Offset the
         Reliability Effects of FGD	   9
  3      Total FGD-Related Additional Capacity
         Requirement by Region in 2000 (MWe)	  11
  4      Total FGD-Related Additional Capacity
         Requirements by Region in 2000 - 600 MWe Coal
         Units	  12
  5      Expected Additional Generation Requirements
         Due only to FGD Energy Penalties by Region - 2000-  13
  6      Expected Generation to be Added  (by Reliability
         Region) Prior  to 1986	  19
  7      Expected Generation to be Added  (by Reliability
         Region) 1986-2000	  20
  8      Estimated Mix  of New Base and Intermediate
         Load Coal Units in 2000	  35
  9      National Outage Rates for Large, Mature Coal-Fired
         Electric Generating Stations - 390-599 MWe Units--  37
 10      National Outage Rates for Large, Mature Coal-Fired
         Electric Generation Stations - 600+ MWe Units	  38
 11      Expected Energy Penalties from FGD Use	  40    ,
 12      Effect of FGD  on the Reliability of a Single
         Generating Unit	  45
 13      Mean Additional Capacity Requirements in Percent
         of New Coal Capacity to Offset the Reliability
         Effects of FGD-	  52
 14      Estimated Scrubber Additions before 1986	  56
 15      Additional Capacity Requirements in MWe to Offset
         FGD Reliability Only in 2000	  59
 16      Expected Additional Generation Requirements Due
         Only to FGD Energy Use Penalties by Region in             ,
         2000	  60
 17      Total FGD-Related Additional Capacity Requirement
         by Region in  2000 - MWE	  61
 18      Total FGD-Related Additional Capacity Requirements
         by Region in  2000.- 600 MWe Coal Units	  62
                               V113.

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TABLES--Continued

Number                                                     Page

  19    Additional Generation Required from the Use of
        Scrubbers as a Proportion of Total New Coal
        Capacity	  101
  20    Incremental Loss-of-Load Probabilities (ILOLP)
        for Worst Case (5 Active Modules/No Spares;
        r = 0.8) Load Factor Sensitivity Test	  101

  21    Incremental Loss-of-Load Probabilities (ILOLP)
        for Best Case (5 Active Modules/1 Spare; r = 0.9)
        Load Factor Sensitivity Test	  102
                               3.X

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                             SUMMARY
          A more stringent New Source Performance Standard  (NSPS)
for S02 emissions is presently being considered.  The implementa-
tion of this NSPS will require utilities to employ flue gas de-
sulfurization  (FGD) or equivalent S02' removal techniques on all
new coal-fired boilers.  The addition of FGD systems to all new
coal-fired generating units will reduce a utility's ability to meet
consumer demand because of reduced unit and system reliability and
increased in-plant energy consumption.  The FGD system can thus
affect both generating unit and utility system adequacy.  A re-
duction in individual utility system reliability may affect power
pool reliability as well.  Therefore, it is important to determine
the overall impact of the widespread implementation of FGD on
electric utilities.

          This study evaluated the overall impact of FGD systems
on U.S. electric reliability and adequacy through 2000.  Coal-
fired units on-line before 1986 and between 1985 and 2000 were
considered separately for each of the nine National Electric
Reliability Council (NERC) reliability regions.  Different
generation mixes and typical demand characteristics for each
region were calculated.  With this information, an assessment of
the ability of each region to meet power demand (and to maintain
reasonable and typical reserves) as a power pool with and with-
out FGD was made.  Several different FGD module configurations
and expected module availabilities were considered.  It was
assumed that a generating unit would be required to be temporarily
derated upon FGD module failure if a spare module were not avail-
able.  Bulk power interchange capabilities which might be used in
the event of such FGD-induced outages or reductions in capacity
were also evaluated, as were expected system reserves.

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           This study concluded that the proposed NSPS would have
 little effect on system reliability and adequacy prior to 1985
 because of long lead times required for the construction of new
 coal-fired generating units.

           However, for the period between 1985 and 2000 it was
 found that the proposed standard would have a significant effect
 on system reliability and adequacy.

           For four different FGD modular availabilities and con-
 figurations, nationwide.additional capacity requirements in 2000
 due to the impact of FGD availability and energy requirements
 were found to range from approximately 38,000 megawatts to 105,000
 megawatts.

           The additional capacity  requirement due to FGD is the
 result of two factors:  (1) the increase in in-plant power con-
 sumption required to operate the FGD units  (an "energy penalty")
 and  (2) the  increase in capacity needed to offset a decrease  in
^system reliability.  The increase  in capacity to offset the
 energy -penalty  associated with FGD is approximately 28,000 mega-
=»—=-=—
 watts for the 1985-2000 period; the increase associated with
 reliability  ranges  from approximately 9,000 megawatts to 77,000
 megawatts.   These estimates do not include the.effects of any FGD
 systems on the  additional capacity required.  Total new coal
 capacity  that is  to go  on-line between 1985 and 2000 was projected
 by Teknekron to be  approximately 534,000 megawatts.  It should be
 noted  that the  upper limit  of the  range qf these,estimates
 associated with reliability, 77,000 additional megawatts, assumes
 an FGD modular  availability of 80%, no redundance in FGD modules
 to provide backup capability during FGD module outages, nor any
 other mitigating  factors.

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          This report was submitted in fulfillment of Contract
68-02-2608 by Radian Corporation under the sponsorship of the
U.S. Environmental Protection Agency.   This report covers the
period January 1, 1978, to February 28, 1978, and work was com-
pleted as of February 28, 1978.
                               XI i

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                           SECTION 1
                         INTRODUCTION

          This report presents the results of work performed by
Radian Corporation of Austin, Texas, for the Office of Air
Quality Planning and Standards, Emission Standards and Engineer-
ing Division, of the United States Environmental Protection
Agency.  This project assessed the impact of flue gas desulfuri-
zation (FGD) systems on the overall reliability .and expected
generation requirements of electric power generating systems in
the United States through the year 2000.

          Power system reliability is directly affected by the
availability.of generating units.  Since FGD affects this unit
availability, it also affects system reliability.  For the purposes
of this report, the following definitions of reliability and
availability will be used:

          Reliability - the ability of a power system to provide
          continuity of service19.  For generating units alone
          (neglecting the effects of the transmission and
          distribution networks), reliability can be measured
          as the probability that demand exceeds available
          capacity*.  In this context, this probability can
          be described by the loss-of-load probability
          (LOLP), which is a well-known and accepted index
          of reliability in  the utility industry.

          Availability - the amount of  time a generating unit  is
          capable of operating at a particular power output  (also
          called-operating availability).  Numerically, avail-
          ability is expressed as the ratio of the number of
          hours  the unit is  available to  the number of hours in
    Technically,  this particular measure of reliability as  given is
    equivalent to (1.0- probability that service is continuous).

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          the period7.  Reliability in terms of LOLP or (1.0 -
          LOLP) can be directly calculated from availability
          using probabilistic relationships (see Appendix A).

          Consequently, the impact of FGD on power system reli-
ability can be estimated by using probabilistic methods and by •
considering any other pertinent factors.  The methodology
to estimate this impact includes consideiration of the following
five items :

          1.  A determination  of the projected  generation  types;
             quantities,  and  typical  demand characteristics for
             new  coal-fired generating units.   (See  Sections
             4.1, 4.2, and 4.3.)

          2.  An assessment of the ability of each power pool
             (or  reliability  council) to meet  power  demands in
             2000 with and without  scrubbers  through the
             calculation of LOLP.   (Scrubber  configura-
             tions  and availabilities were  assumed  for
             this study.)  (See Sections  4.6.4 and  4.6.5.)

          3.  A determination  of the effects, if any, of scrubbers
             on the ability to  maintain reasonable and typical
             reserves, and a  calculation of the amount of any
             additional capacity which must be added to offset
             any  scrubber impacts.  (See Section  5.1 and  5.3.)
         4.  An investigation of nationwide reserves as  to gen-
             eration types and amounts.   (See Section  5.3.)

         5.  An assessment of bulk interchange  capabilities
             which might be used in the event of outages
             caused by FGD.  (See Section 5.2.)

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            This study addressed the problem  of large-scale  im-
plementation  of FGD. on  both  a regional  and  national basis.   The
wide-spread practice of interconnecting electric utilities
("power  pooling")  has led to the  division of the country  into
nine major power pools.   These pools  and their  respective  ser-
vice areas are .shown in Figure 1.   With the formation of  the
              1 - ECAR - Eaat Central Area Reliability Coordination Agreement
              2 - ESCOT - Electric Reliability Council of Texas
              3 - MAAC - Mid-Atlantic Area Council
              i* - MAIS - Mid-America Interpool Setwork
              5 - MAS.CA - Mid-Continent Area Reliability Coordination Agreement
              6 - HPCC - Northeast Power Coordinating Council
              7 - SESC - Southeastern Electric Reliability Council
              3 ,- SPP - Southwestern Power Pool
              9 - WSCC - Western Systems Coordinating Council

         Figure  1.  Division  of U.S.  into  NERC Reliability Regions
                                      3

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 National  Electric  Reliability Council  (NERC),  these  nine  power
 pools  became  reliability regions which report  to  NERC  on  an
 individual  basis.   Each pool  has its own  particular  mix of
 generation, load or demand  characteristics, operating  practices,
 reserve requirements,  and interchange  agreements.  The effects
 of FGD considered  in this study are thus  addressed for each  of
 the nine  reliability regions  and for the  nation as a whole.

          Almost all existing commercial  applications  of  flue
 gas desulfurization on coal-fired boilers use  either the  lime
 process or  the  limestone process and almost all the  data
 available at  this  time  are  for these processes.  This  study
 utilized estimates  or  assumptions of performance for limestone
 processes and it assumed that  (1) all new FGD units, or scrubbers,
 are of the  limestone type,  and that (2) each scrubber would have
 an energy requirement necessary to achieve 90 percent  removal
 efficiency.9  The  five  scrubber configurations shown in Table 1
were studied.    It was  assumed that all new coal units  for each
 case had FGD  systems which were configured identically; i.e.,
 only module throughput  capacity varied depending on  the size of
 the generating  unit.  While other modular configurations are
 certainly possible  for  various unit sizes, only these  five were
 considered to allow  for ease in computation.  Furthermore,
 although smaller generating units (less than 600 megawatts)
might  require fewer  scrubber modules,  it was found that these
units most probably will be a small portion of total generating
 capacity by the year 2000.  Hence,  it is expected that any
variations in scrubber  configurations  among these smaller units
would not significantly affect the results of this study.   In
addition,  this  study did not address either the validity of
 available data, the  desirability of the limestone process, or
 the technical feasibility of  achieving various removal
 efficiencies  or various FGD module availability levels.

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         .Table 1.   FGD  SYSTEM CONFIGURATIONS  STUDIED



Case
1
(Base Case)
2"
3
4
5
Number
Scrubbers
per
Generating
Unit

0
1
1
1
1

Number
Modules
per
Scrubber

	
5
5
5
5


Number
Spares
Modules

	
0
1
0
1


Availability
per
Module

	
'907=
90%
80%
80%
  Outage rate = 100% - Availability
          Power plant outage data (exclusive of scrubbers) were
taken from Edison Electric Institute (EEI) data accumulated
over the period 1972 - 1974 (3 years) for large mature units
built before 1971.  Only units which burned coal exclusively
were considered, and total outage rates (forced plus scheduled
full and partial outage) were considered.  These data covered
units which were grouped into two categories.-  390-599 MWe*
capacity and capacity greater than 600 MWe.  Consequently, this
study considered only those units in these two size ranges;
however, the vast majority of planned,-generating facilities are
in these, two groups.
 * Electric megawatt  output at  the  bus  bar;  also  called MW by
  the  industry.   In  this  report  MWe will  be used to  avoid con-
  fusion with thermal boiler input megawatts (MWt).

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          These generating units were also grouped according to
probable duty.  Typical power system practice has been to use
large new units for either intermediate (cycling) or base-load
duty.  Load duration curves were developed to reflect before-
the-fact desired capacity factors of 70 percent for base-load
units and 55 percent for intermediate-load units.  Anticipated
load duration coupled with expected additions by type and per-
cent capacity (coal, oil, nuclear, hydro, etc.) were used to
determine a reasonable expected mix of base-load and inter-
mediate-load coal units for each reliability region.  This mix
was used to determine (1) overall ability to meet load and
(2) expected reserve generation types.  Sensitivity of this
analysis was also estimated.

          Because this study was done to provide data for the
evaluation of a revised New Source Performance Standard for
coal-fired power plants, two future time periods were con-
sidered.  Because of the long lead times (7-10 years) required
for the construction of new coal-fired power plants, all units
scheduled for operation prior to 1986 were evaluated separately
in terms of any existing and/or potential FGD equipment.  It was
found that any NSPS enacted today probably would not affect most
of these units.  However, it was assumed that all coal-fired
units on-line between 1985 and 2000 would need FGD  systems to
meet the revised NSPS.
          Because of the short time constraints under which this
study was done, aggregate total reliability in terms of.the sum
of all types of generation which exist in each region  (nuclear,
hydro, gas turbines, etc.) could not be evaluated.  The same
demand curves  for the two unit types considered were used for
all nine geographical regions.  Different curves were  used, of
course, for base and for intermediate units.  The primary

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justification for using the same curves for all regions was
that region-to-region differences in demand per generating unit
were probably smaller than the uncertainty regarding the demand
curves which would apply more than a decade in the future.
Nevertheless, although the same unit demand curves were used for
all regions, the total demand varied by region.  This was
accounted for in the analysis.  Furthermore, it is felt that
correlations exist between demand at the same time at different
generating units in the same region.  The demands at different
units, for example, are affected simultaneously by diurnal
variations and by area-wide weather changes.  Treatment of these
correlations, however, was beyond the scope of this study.  The
omission of the correlations affects the calculated incremental
loss-of-load probabilities to some extent, as is discussed in
Section 4.6.4 and Appendix A.  It is believed, however, that
omission of the correlations does not have a large effect on the
decrease in power system reliability due to the.use of scrubbers.
Finally, in this study, only new coal units were analyzed, and
only that portion of the total power load they were expected to
carry was assessed.  New coal units were the only type of unit
which were considered to require FGD systems.  While a more
thorough analysis would certainly have been beneficial, it is
believed that the results presented in this study are sufficient
to estimate the effect of FGD systems on power system reliability
.and adequacy.  The results can provide insight into the effects
'of FGD on different types of units with different duty cycles,
and they provide estimates of additional generation required to
offset the effects of implementing FGD systems on new coal units.

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                           SECTION 2
                          CONCLUSIONS

          A detailed description of the results of this study
is contained in Section 5.  From these results, the following
conclusions concerning a revised NSPS requiring FGD for all new
coal-fired electric generating units may be drawn:

          1.  Before 1985, the small numbers of committed FGD
              systems required by a revised NSPS will have
              very little effect on system reliability and
              adequacy.  Any revised NSPS enacted at the present
              time will primarily affect new coal-fired units
              anticipated to come on-line after 1985.

          2.  It was found that (1) FGD unavailability and (2)
              energy penalties due to FGD cause reductions in
              available system capacity leading to additional
              capacity requirements.  The mean percent reductions
              in capacity caused only by FGD unavailability for
              the four scrubber configurations in this study are
              shown in Table 2.  These mean percent reductions
              were found to be virtually insensitive to changes
              in mix of intermediate-load or base-load units or
              load factors (Section 5.4).  Estimated energy
              penalties caused by increased in-plant energy
              consumption for limestone scrubbers with 90 per-
              cent removal were reported to be on the order of
              3.4 to 3.8 percent of generating unit capacity9.
                                8

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t                                  •
        Table 2.   MEAN ADDITIONAL CAPACITY REQUIREMENTS IN PERCENT OF NEW
                  COAL CAPACITY TO OFFSET THE RELIABILITY EFFECTS OF FGD
Case
l(Base)
2
3
4
5
No. No. Availability
Modules Spares Per Module
0
5 0 90%
5 1 90%
5 0 80%
5 , 1 80%
Mean
; Additional
Generation Requirement
0
4.5%
1 . 2%
9.9%
4.4%


(Best)
(Worst)

       a Expressed as a percent of new coal capacity without FGD.  Does
         not include boiler/turbine/generator availability effects.
                 3.  The amount of additional capacity required due to
                     FGD was found to be very sensitive to scrubber
                     availability and modular configuration (i.e.,
                     number of modules, spares, etc.).  Consequently,
                     if the values assumed for module availability were
                     too high or too low, the impact of FGD would either
                     be amplified or mitigated.  Similarly, if the number
                     of modules and/or spares changed, or if bypass
                     were allowed, the estimated additional capacity
                     requirements would change.

                 4.  It was found that the effects of FGD on reliability,
                     system reserves, and in-plant energy consumption
                     most probably would be offset by the addition of
                     more new units rather than by oversizing units

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which are already planned since system reliability
is degraded, not enhanced, by enlarging individual
sizes of a constant number of units.  These new
units will probably be new coal units.   ,

Assuming no spare FGD modules and a module avail-
ability of 80 percent (the worst case studied),
approximately 105,000 MWe would be required
nationally in 2000 to offset reduced system reli-
ability and increased in-plant power consumption
caused by FGD.  The best case studied (one spare
module and 90 percent availability for each module)
requires about 37,500 additional MWe.  The other
cases studied (90 percent, no spare; 80 percent,
1 spare) require about 63,000 MWe of additional
capacity.  Additional results for each reliability
region are summarized in Tables 3, 4, and 5.  As
can be seen from these tables, the impact on
individual regions varies considerably.  These
generation estimates include mean boiler/turbine/
generator availability effects but do not include.
effects of any FGD on additional units.

It was found that, independent of any revised NSPS,
the electric utilities may encounter problems in
maintaining adequate reserves in the future due to
delayed construction of new plants.  If future
reserves are marginal or inadequate, widespread
implementation of FGD would tend to  compound this
problem.  This impact results from boiler derating
when  the unit is without bypass or  available spare
scrubber modules and an FGD module  or modules
fail.
                   10

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        Table 3.   TOTAL FGD-RELATED ADDITIONAL CAPACITY
                  REQUIREMENT BY REGION IN 2000a (MWe)
Region
1-ECAR
2 -ERGOT
3-MAAC
4-MAIN
5-MARCA
6-NPCC
7-SERC
8-SPP
9-WSCC
U.S. TOTAL
Case I
(base)
o
0
0
0
0
0
0
0
0
0
Case 2 ,
(5 70(390%) d
13,815
7,540
3,900
6,070
2,810
3,400
9,440
8,120
8,085
63,180
Case 3
(5/1(990%)
8,320
4,390
2,350
3,660
1,635
2,050
5,685
4,730
4,710
37,530
Case 4°
(5/0@80%)
22,805
12,690
6,435
10,025
4,725
5,615
15,580
13,665
13,610
105,150
Case 5
(5/1(980%)
13,650
7,440
3,850
6,000
2,770
3,360
9,325
8,015
7,980
62,390
alncludes reliability effects and energy penalties

 Best Case

°Worst Case

 (Number active modules /number spares (§ % modular availability)
                                11

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        Table 4.  TOTAL FGD-RELATED ADDITIONAL CAPACITY



               REQUIREMENTS BY REGION IN 2000a -



                      600 MWe COAL UNITS
Region
1-ECAR
2 -ERGOT
3-MAAC
4-MAIN
5-MARCA
6-NPCC
7-SERC
8-SPP
9-WSCC
U.S. TOTAL
Case 1
(base)
0
0
0
0
0
0
0
0
0
0
Case 2
(5/0@90%)C
23
13
7
10
5
6
16
14
14
108
Case- 3a
(5/1(390%)
14
7
4
6
3
4
10
8
8
64
Case 4
(5/0@80%)
38
21
11
17
8
10
26
23
23
177
Case 5
(5/l@8070)
23
13
7
10
5
6
16
14
14
108
 Includes reliability effects and energy penalties.




 Best Case




°Worst Case




 (Number active modules/number spares (§ % modular availability)
                                12

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      Table 5.  EXPECTED ADDITIONAL GENERATION REQUIREMENTS
        DUE ONLY TO FGD ENERGY PENALTIES BY REGION - 2000

                     Maximum Additional Generation Requirements
Region               	Due to FGD Penalty - MWe 	
1-ECAR                               -6,325
2-ERCOT                                3,245
3-MAAC                                 1,785
4-MAIN                                 2, 780
5-MARCA                                1,210
6-NPCC                                 1,555
7-SERC                                 4,320
8-SPP                                  3,495
9-WSCC                                 .3,480
U.S. TOTAL                             28,200

alncludes only effects of new coal unit boiler/turbine/generator
 availability.  This assumes that the  additional generation has
 an average availability equal to that of a new coal unit.
                                 13

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Because of a variety of technical and institutional
constraints on the interchange of power among
different regions, it was determined that bulk
power shipments probably could not significantly
reduce the additional capacity requirements caused
by the widespread implementation of FGD.

It was found that these effects of FGD on system
reliability and adequacy could be mitigated in a     ;
number of ways.  For example, redundancy or main-
taining spare modules can significantly reduce the
need to increase capacity to offset reduced reli-
ability.  The use of alternative coal utilization
technologies which avoid or reduce the need for flue
gas cleanup is another obvious method for mitigating \
impacts.  Finally, the adoption of a policy permitting
the bypass of scrubber modules on outage status when
reserve capacity is critically low or under other
temporary emergency conditions could also reduce
significantly the need to increase generating
capacity.
                  14

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                                SECTION 3
                         DESCRIPTION OF PROBLEM

           The main  objective of  this study was  to evaluate the
effect of FGD systems on  the reliability and  adequacy  of electric
utility systems.  The first step was to  determine the  incremental
reduction in system reliability  due solely to scrubbers on new
coal  plants  on a regional basis.   The nine NERC reliability
regions considered  are shown in"Figure 2.   Because of  time con-
straints for this study,  it was  impossible to compute.total
system loss-of-load probability  based on the  interaction of  all
                  1 - ECA& - Ease Central Area Reliability Coordination Agreement
                  2 - ERCOT - Electric Reliability Council of Texas
                  3 - MAAC - Mid-Atlantic Area Council
                  4 - MAIN - Mid-America Intsrpool Network
                 ' 5 - MARCA - Mid-Continent Area Reliability Coordination Agreement
                  6 - HPCC - Hortheast Power Coordinating Council
                  7 - SERC - Southeastern Electric Reliability Council
                  3 - SPP - Southwestern Power Pool
                  9 - WSCC - Western Systems Coordinating Council

       Figure  2.   Division of  U.S. -into NERC  Reliability Regions
                                    15

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forms of generation  (coal, oil, nuclear, l^dro, etc.)-  Instead,
this study assumed that the generation forecasts utilized re--
presented that capacity necessary to assure an acceptable system
loss-of-load probability without FGD on all new coal units, and
that the generation which had been planned or forecasted left
appropriate reserve margins.  In this context, then, only new
coal units were considered in the calculation of incremental
loss-of-load probabilities (ILOLP) for new coal with and without
FGD.  For the cases including FGD, additional generating require-
ments necessary to maintain the same incremental loss-of-load
probability as without FGD were computed for cases considering
the various FGD modular availabilities and configurations.  This
calculation, therefore, assumed that none of the existing non-
new-coal capacity could be used to offset any effects of FGD.  It
was also assumed that base and intermediates demand characteristics
for the new coal units were similar in each power pool.  The
estimated mix of base- and intermediate-load new coal units was
then used to determine the aggregate demand for each region used
in the ILOLP calculations.  The additional generating requirements
for the cases with FGD, determined from these calculations, were
then combined with expected additions in capacity required to off-
set energy penalties associated with FGD to give net additional
generating requirements due to FGD in each region.  Since these
ILOLP calculations involved only new coal units on systems with
other forms of generation, reserve policies were investigated to
determine whether or not systems might be overbuilt or underbuilt
in the future, i.e., whether the assumptions above might be in-
fluenced by other factors.  Constraints on emergency interchange
were also investigated.  In addition, the effect of FGD on the
reliability of a single generating unit was also assessed.

          The remainder of this report addresses the above points.
Section 4 discusses the determination of the effect of FGD on reli-
ability, adequacy and capacity based on generation mix, outage
                                16

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rates, demand characteristics, and energy penalties.  Section 5
evaluates the results on reliability from Section 4, and
discusses the net effect of FGD on generation with respect to
additional capacity required, constraints on interchange and
reserve policies.  The appendices contain a detailed mathematical
description of the probability calculations, a determination of
generation .mix for each region, and test case incremental loss-
of-load" probabilities.
                               17

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                            SECTION 4
               DETERMINATION OF EFFECT OF FGD ON
                FUTURE GENERATION REQUIREMENTS
          To estimate accurately the effect on FGD on reliability
several intermediate calculations were made.   The mix of power
generation was first determined for each power pool.   Evaluation
of individual demand characteristics, outage rates, and energy
penalties for each area was completed next.  The overall effect
of FGD was then evaluated for an individual unit and for all new
coal in each region.  The effect of FGD on utility reliability and
adequacy was estimated separately for units put on-line before
1986 and for those on-line between 1985 and 2000.
4.1
Evaluation of Generation Forecasts
          Because of differences in fuel resources, demand and
operating policy, each of the nine power pools generates power
using different proportions of various unit types.  Since this
study assumed that each pool or region operates in a somewhat
autonomous fashion, it was decided that the effect of FGD could
be best estimated on a regional basis.  Data developed by
Teknekron and supplied by EPA1 provided estimates of the number
and location of individual units planned for construction through
2010 and their expected or assumed* sizes in MWe.  These data were
analyzed and plants were grouped by reliability region served so
that the expected mix of generation for each region could be
determined.  Tables 6 and 7 show the mix for each region determined
from these Teknekron data for units put in service before 1986 and
from 1985 to 2000.
*Teknekron assumed sizes of 600 MWe for each new coal unit and
 1200 MWe for each new nuclear unit if no other data were
 available.
                               18'

-------
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-------
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                                                       20

-------
          Several conclusions can be drawn from these forecasts.
From the unit size data which were reported and not assumed, it
was found that after 1985, utilities will probably concentrate
on the construction of units which are more standardized in
terms of size; this standardization process is presently underway
in at least one region.5  The types and sizes .of these units are
not uniformly distributed,among regions.  It can be seen, however,
that the number of nuclear units is anticipated to increase.  The
power pools installing large numbers of nuclear units may use fewer
coal-fired base load units unless demand is growing extremely fast.
In the 1986-2000 analysis, small coal units (<600 MWe), as well as
oil and gas units, show a sharp decline in their importance as
prime movers.  The maximum percentage of total MWe contributed by
these smaller coal units is  19 percent  after 1985, as opposed to
47 percent in earlier years.  No oil or gas units are expected  to
be built  after 1985.

           These Teknekron data were compared to Federal Power
    mission (FPC) estimates for 1990 as contained in the 19-70 National
 Power Survey (NPS)2 and as extrapolated to 2000 using NPS-derived
 growth rates.  While some differences did exist between the
 Teknekron and NPS data, a combination of both was deemed suffi-
 ciently accurate for forecasting purposes and was thus used to
 compute the expected mix of generation in each area (Appendix B)
 in the following manner:

           •  All new generation estimates (1976-2000) for coal,
              oil, gas,  and nuclear from Teknekron Data .
              Estimates for old units (pre-1976) remaining on
              each system, for other units (hydro, pumped storage,
              gas, turbine, diesel), and for old unit retirements
              from NPS
              Load factor data from NPS
                                21

-------
Many of the units anticipated in this forecast are still in early
planning stages, and thus, are subjected to operational and con-
tractual delays.  Should these delays occur, actual generation
could vary from that used in this analysis.
                               22

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 4.2        Demand  Characteristics

           Generating unit  duty  can be  assessed  from operational
 and  design viewpoints based upon  expected  demand  as determined by
 the  utility's dispatching  policy.  Figures 3  and  4  show typical
 weekly power system load  (or  demand), curves.  An  investigation of
 similar  curves  furnished by various utilities for this  study
 showed that, while there are  some seasonal and  temporal varia- •
 tions, these figures can be viewed as  being representative.
 Figure 3 has load divided  as  to type:  base-load, intermediate-
 load, and  peak-load.  Figure  4  shows the same curve with a  typical
 division of generation responsibility  by type of  prime  mover.
 Economics  dictate this division of responsibility;  units with the
 lowest operating  costs  (with  some exceptions, e.g.,  some hydro
 plants)  are loaded to capacity  (or, possibly, to  their  lowest
 individual heat rate points)  first, and more  expensive  forms of
 generation remain in peaking  or intermediate  services.   Also, as
.newer, more efficient steam units come on-line, older units which
 may  have been base-loaded  become peakers or intermediate-service
 units.  Nuclear units are, almost without  exception, base-loaded.
 Since new  coal units are generally the most economical  fossil-
 fueled steam units on most power  systems,  and since peaking
 capacity is and will be made  up almost exclusively  of old steam
 units, hydro units  (including pumped storage) and internal  com-
 bustion  peakers,  e.g., diesels  and gas turbines,  it remains that
 almost all new  coal units  will  be designed for  base-load and
 intermediate-load duty.  An investigation  of  coal units under
 construction bears this point out - not a  single  unit was for
 peaking  and only  a few were for intermediate  load.3'1*   It is
 expected that this situation  will continue to exist in  the-  future,
 although the relative percentage  of new coal  units  for  inter-
 mediate-load duty will  increase as a greater  proportion of  nuclear
 units  (base-load) come on-line.  Therefore, based on these  find-
 ings,  this study  has assumed  that all  new  coal  units will be
 designed for either base-load or  intermediate-load  duty.

                              23

-------
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        24
                                                                           WSISA.S

-------

                                     TYPE OF GENERATION



                            Gas Turbine

                            Ptimped-Storage Hydroelectric


                            Conventional Hydroelectric


                            Nuclear or Fossil-Fueled Steam-Electric
                                                                      -.'X

                            Pumping Energy Supplied by Nuclear or Fossil-Fueled Steam-Electric Plants  2
Figure 4.    Typical weekly  load  curve  apportioned


               by  prime  mover  type.


      (Reprinted from  1970 NFS;  no copyright)
                            25

-------
          Since generating units of a single type, e.g., base-
load, have similar controls and economies of operation, and since
most utilities dispatch and commit their generation in similar
fashion, it follows that hourly demands on units of the same type
will be somewhat similar.  This point is especially true with      .
regard to base units, which are usually run at nearly constant
power outputs except when economics of operation dictate that      ;
load be reduced to avoid shutting intermediate units down.
Furthermore, new coal units will remain classified as base-load
or intermediate-load for a large percentage of their lifetimes
for two reasons.  First, most base-load units require fairly
extensive modifications to their steam flow and control systems
to allow them to cycle  (or follow load) mo
-------
curves do not directly show exact diurnal variation in demand,
they are derived directly from the diurnally varying curves and,
therefore, can be considered as representative of unit loading
which would be attempted for each unit type.  These curves re-
present the percentage of time that demand on the unit equals or
exceeds a certain value.  They are obtained figuratively by placing
each hourly demand value in descending order by magnitude and
plotting the results.  Mathmetically, these curves are computed
from the probability densities of load versus probability of
occurrence (load level versus number of hours at that level).
This study has used the data in this latter form for .computational
purposes as in Appendix A.  While the exact form of the actual
desired unit loading curves may vary from day-to-day and unit-to-
unit, the approximate curves used in this study represent what
might be reasonably expected of these two different unit types.

          These curves also can be described using capacity factors
o-r load factors.  Capacity factors represent the mean loading
        by capacity; load factors, mean loading divided by peak
loading.  The curves in Figures 5 and 6 thus represent capacity
factors in the neighborhoods of 70 percent for base-load new coal
units and 55 percent for intermediate-load new coal units.  For
the purposes of this study, it was assumed that peak unit loading
would equal unit capacity at some point during the period under
investigation and thus that capacity factor would be equal or
nearly equal to load factor foreach unit.  This assumption allowed
for the approximation of total load on new coal units as a function
of unit type (base or intermediate) only, and it eliminated the
otherwise necessary requirement of considering each new coal unit
individually.  This approximation of total load on new coal units
was, therefore,  made by determining the expected mix of base-load
and intermediate-load new coal units from existing load factor data,
summing the demand densities in percent of capacity for all units,
                                27

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-r
10
T
20
30
4Q   50   60
    % OF TIME
                     70'
90   100
  Figure 5-  Expected load "duration curve for new
             base-load coal unit-.
                       28
                                                         02-2S91-1

-------
 10   20   30   40   50   SO   70   80   90  100
Figure 6. Expected load duration curve  for new
          intermediate-load coal unit.
                        29
                                                        02-2592-1

-------
 and scaling by the sum of average unit sizes in MWe.   The
 determination of the mix of base-load and intermediate-load
 new coal units for each region will now be discussed.
 4.3
 Determination of Mix of Base-Load and Intermediate-
 Load New Coal Units
           As was  outlined in the previous  section,  the mix of
 generating units  by size and prime mover type was  estimated for
 each  region.   It  was  assumed that the  mix of duty  types (base
 and intermediate)  could be applied uniformily over  new coal units
 in both  size ranges studied (390-599 MWe a,nd 600+ MWe) .   This
 mix was  obtained  by estimating  the expected  load factor for new
 coal  units  and assuming that it  and the  capacity factor were
 reasonably  close  in magnitude.   Estimated  system load  factors
 for 1990 were  obtained  from the  1970 NFS and assumed to  be  the
 same, when  rounded to .the  nearest  integer, for 2000.   Total
 system capacity was estimated using NFS  and  Teknekron  data,  and
 this  capacity was  grouped  as old units existing in  1976, pre-
 1986  units by  type  and  size, and post-1985 units by type and size.
 Peaking capacity  (hydro, pumped,  storage,  gas  turbine, etc.)
was estimated  from NFS  data.  System load  duration allocation,
 as in Figure 7 for  a portion of  NPCC and Figure 8 for a portion
of SERC, was used if available.   Load factors were generally
assigned in the following manner:
          old units*
          pre-1986 steam units
          all nuclear units
                        - system load factor
                        - system load factor or inter-
                          mediate load factor, if
                          estimated (e.g., NPCC)
                        - 70% load factor (base-load)
all internal combustion - 20% load factor (peaking)
all hydro and pumped
storage                 - 40% load factor (intermediate
                          and peaking)
                        Does riot include hydro,
*Units in service prior to 1978.
 pumped storage, or internal combustion units.
                              30

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\
                                     NORTHEAST REGIONAL ADVISORY COMMITTEE
                                           COORDINATED STUDY AREA 8
                            TYPICAL LOADING OF ESTIMATED 1990 PEAK WEEK LOAD DURATION CURVE
                    124 -p 59.75 TOTAL NET GENERATING CAPACITY

                    120
                        — 55-
                    110-
                        — 50-
                    100-
                 UJ
                 U
                    90-
                    80-
                    70—
                    60—
                    50 —
                    40 —
                    30 —
                    20 —
                        •48.1

                        -45-
          LEGEND


EJijigS-jj PUMPED-STORAGE
KSv^SNj CONVENTIONAL HYDRO.
       FOSSIL STEAM
Iw'-C'r^J?! NUCLEAR STEAM
I      | PUMPING ENERGY
                                                                      100
                                             PE3CENT OF TIME
                 Figure  7.    1990 expected  load duration curve with
                   typical apportionment  by prime mover type for a
                                portion of NPCC  (Region 6)
                      (Reprinted  from 1970 NFS;  no copyright)
                                               31

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                     SOUTHEAST REGIONAL ADVISORY  COMMITTEE
              COORDINATED STUDY AREA FOR THE SOUTHERN COMPANY SYSTEM

           TYPICAL LOADING OF ESTIMATED  I99O PEAK WEEK LOAD DURATION CURVE
120-
110-
                             4O    SO    6O
                             PERCENT  OF TIME
                                                             IOO
   Figure  8.    1990  expected load duration  curve  with
     typical apportionment  by prime mover  type for a
                portion of SERC  (Region 7)
         (Reprinted from 1970 NFS;  no  copyright)'
                                 32

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In the case of NPCC  and WSCC,  the  last  three items above were
grouped together and given  a net 50%  load factor to account for
significant amounts  of bas^-load .hydro  available in those regions

          Net new coal load factors were then estimated by
scaling each load factor by percentage of capacity, subtracting
the sum from the expected system load factor, and rescaling by
the ratio of system to new coal capacity,  or
          LF
                  c
                   S
            NC
(1)
where
          LFg  = estimated system load factor
          LFNC = new coal estimated load factor
          LF.  = estimated load factor for generation type  i
          Cg   = expected total system capacity
          Cj^  = expected new coal (1985-2000)  capacity
          G£   - expected capacity of generation type i

The percent mix of base-load and intermediate-load new coal
units was then estimated from the base-load and intermediate
load capacity factors

          LFNC^:0.55 (~LL + 0.7 SL   "                '   (2)
                                33

-------
and from
                CTT
          %IL = J*± x 100                      '           (3)
          %BL =    - x 100                .     ,            (4)
where
          GTT = expected capacity,  intermediate- load
           J.JL
          C,,T = expected capacity,  base- load
           rSLi
              = expected new coal capacity
and where it was assumed that peak load on each unit equaled
capacity at some time during that unit's lifetime.  These
results were then checked based on NFS system makeup data and
general knowledge of regional problems and modified slightly
if necessary'.  For example, base-load capacity was decreased
slightly in WSCC to reflect uncertainties in water availability
for hydro.  In several other areas,  slight: corrections were made
to account for expected uncertainties in nuclear  plant construc-
tion.  In general, no modifications  in excess of  10 percent were
made.  The resulting expected mix  of new base and intermediate
load new  coal units  for  each region  is  shown  in Table  8;  calcula-
tion results for each region are given  in Appendix B.

          These data were  used  as  inputs  for  the determination
of incremental  loss-of-load probabilities  (ILOLP) .   Each base
unit was  assumed  to  have the previously mentioned base- load
demand characteristic;  each intermediate unit;  the intermediate-
load  demand characteristic.  The percentage of base  and inter-
mediate units   and the  average unit size for each prime mover
                                34

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Tattle 8.  ESTIMATED MIX OF NEW  BASE  AND
  INTEEMEDIATE LOAD COAL UNITS  IN  2000
Region         "L Base      % Intermediate

1 - ECAR         90               10
2 - ERGOT        10               90
3 - MAAC         10               90
4 - MAIN         70               30
5 - MARCA        70               30
6 - NPCC          0              100
7 - SERC         30               70
8 - SPP           0              100
9 - WSCC         90               10
                     35

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size group (390-599 MWe and 600+ MWe) were given for each region
as were the independent variables.   Outage rate probability       '.
densities by prime mover size group, as discussed in the next
section, were the only other variables needed for the calcula-    ;
tion of ILOLP.

4.4       Outage Rates

          The outage rates for coal-fired boilers that were
used in this study are listed in Tables 9 and 10.  These data
were obtained from an Edison Electric Institute report5 on trends
of large mature fossil fuel units in operation prior to 1971.     '
Planned and forced outages of coal-fired power plants were com-
piled for two size classifications:  390 to 599 MWe and 600+ MWe.

          The outage rates presented in these tables were
determined from the number of hours of operation at each electric
.production rate,  and are averages for the years 1972 through 1974.
They cover both partial and  full outages.  Other sources investi-
gated7'8  tended to uphold both the  data used and the methods for
collecting it.

          The total amount of forced outage as  reported  in about
twice  that due to planned outage.   Almost all  the planned  out-
age results  in total outage  while the  forced outage  is  divided
between total outage and partial outages  of 60  to 99.9  percent
of rated capacity.

           The load factor  (mean  load scaled by dividing by the
peak  load)  of the 300  to  599 MWe units  is 67.9  percent.   The
 600+ MWe units have a  load factor  of 69.2 percent.   This indicates
 that  most of these units were  probably base-load units,  although
 some  smaller units may have  seen intermediate  duty.   These re-
 sults compared  favorably with  the  assumptions  concerning unit    :
                                 36

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Table  9-  NATIONAL OUTAGE  RATES  FOR LARGE, MATURE  COAL-FIRED
          ELECTRIC GENERATING  STATIONS  -  390-599 MWe UNITS
                          Probability of         Probability of
Percent of  Capacity    .   Planned Outage a -      Forced Outage-

         0                     -1329                    .1357
    .1 to 19.9                  .0010                    .0016
    20 to 29.9                     0                    .0091
    30 to 39.9                  .0001                 -   .0041
    40 to 49.9                  .0001                    .0038
    50 to 59.9                  .0001                    .0176
    60 to 69.9   •               .0007                   -.0153
    70 to 79.9                  .0015                    .0389
    80 to 89.9                  .0050                    .0774
    90 to 99.9                  .0097                    .0480
Probability of 100% capacity is .4974
^an AY^ifWitX...T_i67,8.l^,__Standard deviation = .4305,,
a Planned full or partial outage rate.
  Forced full or partial outage rate.
                               37

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Table 10.  NATIONAL OUTAGE FATES FOR LARGE,  MATURE COAL-FIRED
          ELECTRIC GENERATING STATIONS -  600+ MWe UNITS

                          Probability of  a      Probability of
Percent of Capacity       Planned Outages        Forced Outage13'

         0                    .1633                   .0971
   .1 to 19.9                 .0001                   .0007
   20 to 29.9                 .0001                -   .0003
   30 to 39.9                 .0002                   .0018
   40 to 49.9                 .0016   '                .0054
   50 to 59.9                 .0008                   .0164
   60 to 69.9                 .0005                   .0144
   70 to 79.9                 .0008                   .0344
   80 to 89.9                 .0021                   .1072
   90 to 99.9         "        .0033                   .0550
Probability of 100% capacity is .4945
Mean availability =  .6924.   Standard deviation = .4239..'
 a Planned full or partial outage rate.
 b Forced full or partial outage rate.
                                38

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duty and load factor which were made in this study  (Section 4.2).
Since outage rate distribution depends somewhat on  load factor,
it is expected that future units will probably have outage rates
which are somewhat similar to these.

4.5       FGD Energy Penalties

          Power consumption of FGD systems results  in the effective
derating of coal-fired power plants, since power which could be
used to meet load must be consumed in-plant to operate the FGD
system.  This power consumption is referred to as the FGD energy
penalty and is reported as an additional generating capacity re-
quirement necessary to provide rated unit power plus FGD require-
ments.  Table 11 shows the energy penalties for each of the nine
regions for 25, 100, 500, and 1000 MWe power plants.  The energy
penalties for the 500 MWe stations were used in this study since
almost all of the new power plants are expected or  assumed to be
between 400 and 600 MWe.

          The data in Table 11 are from an EPA study9 on energy
penalties for various FGD systems.  They represent  energy
penalties resulting from 90 percent sulfur removal using lime-
stone scrubbers.   The energy penalties given represent the power
requirements to'produce 90 percent removal.  The major types of
coal that will probably be burned within each region in 2000
were also estimated to determine the energy penalties, since
sulfur content affects FGD operation.   It was assumed that ECAR
(Region 1)  and MAIN (Region 4) would use medium sulfur coal from
the Midwest instead of the low sulfur coal from the West due to
the effect  of a revised NSPS.   The remainder of the regions were
assumed to use local coals or to adhere to present coal purchase
practices.   This  assumption is based on estimated transportation
requirements, historical use data from the 1970 NPS, and regional
forecast data from several other reference.10"13
                               39

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       Table 11 .   EXPECTED ENERGY PENALTIES  FROM  FGD USE
, _ - 7o of Additional Generating Capacity
Expected Coal Required to Operate the FGD System a
Region Type 	 __^1 	 	 	 — — 	
25 MWe 100 MWe 500 MWe 1QQO MWe
1-ECAR HV-MS local coal 3.7 3.7
2-ERCOT MV-LS/LV-LS 3.3 3.3
3-MAAC HV-MS 3.7 3.7
4-MAIN HV-MS local coal 3.7 3.7
5-MARCA HV-LS 3.3 3.3
6-NPCC HV-MS 3.7 3.7
7-SERC HV-MS 3.7 3.7
8-SPP MV-LS/LV-LS 3.3 3.3
9-WSCC MV-LS 3.3 3.3
HV - High Volatility
MV - Medium Volatility
LV - Low Volatility
MS - Medium Sulfur
LS - Low Sulfur
3.8 3.5
3.4
3.8 3.5
3.8' 3.5
3.4
3.8 3.5
3.8 • 3.5
3.4 --- ,
3.4





aAssumes 90% sulfur removal using a limestone scrubber I.  Data
 are grouped by size of the plant requiring the FGD unit'.
                                40

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4.6      Methodology for Calculation of Incremental Loss-of-Load
         Probabilities

         In this section an overview of the analysis used to
compute the incremental loss-of-load probabilities (ILOLP) is
presented.  The methods are discussed in detail in Appendix A.
The presentation here is organized as follows in the subsections
below:

          (1)  calculation of the probability distribution
              of capacity available at a given unit, taking
              into account both boiler and scrubber down-time,
          (2)  calculation of loss-of-load probability for a
              single unit, and
          (3)  calculation of incremental loss-of-load proba-
              bility for a new coal only in a regional
              system in which the demand is distributed
 •  •  "        among the different generating units.

:4~ 6.1     Calculation of Distribution of Available Power at
          a Particular Unit

          It was assumed that a revised NSPS would require a
generating unit to be derated upon FGD module failure if a
spare module or bypass were unavailable.  Therefore, for a
given generating unit with FGD, the percent of total capacity
which can be operational at a given time is limited by two
factors.  These factors are:

          (1)  the percent of total capacity at which the
              boiler is capable of operating,
          (2)  the number of scrubber modules which are
              available.
                              41

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         Suppose,  for example, that the boiler,  because of a
partial outage,  is capable of operating at 80  percent of
capacity, but  that only three of five scrubber modules are up
This means  that  the scrubber is capable of generating
             100%
or 60 percent  of  the output from a fully operational  boiler.
Thus, the boiler-scrubber system is limited to operating at
    ' fin no-.~ooT.t- n-F t-rvf-oi  ,•. an a «-f *• ir   TT-M-io  both factors  mu's t be
•*•**.*-* w )  v.*.*^ i_/\^ -L. -h, ^ .!_  hJW-1-UkLyk/^.U.  t? JT C3 «_ ^JLU. J_ »3 .1. -UU.i_U t. *
only 60 percent of  total capacity.  Thus,
taken into account.
           If  r denotes  the probability that a given scrubber
module  is  up,  and if there are K modules,  the probability
that exactly  i modules  are up  is
          P.
               K:

                               (1.0-r)
K-i
                  (5)
This is  the well-known binomial probability  distribution
          The  distribution  of boiler outage for different
sized plants was  discussed in Section 4,3.  The following
is the primary equation  used to  combine  the probabilities
for the scrubber  and  for the boiler:

P(at least j70  of  capacity can be used) -

P(at least j7a  of  boiler's capacity  is  available) x
P(enough scrubber modules are available  to  handle  at least
  j?a of the total capacity)
                               42

-------
           In  this manner,  the distribution *of percent of
 total  capacity  available was obtained.  The values .r - .8
 and .9  and K=5  and  6 were  considered.  When K=6, the sixth
 module  was considered to be a spare; that is, each module
 was assumed to  be able  to  handle up to 20 percent of the
 emissions  from  a fully  operational boiler.

           The mean and standard deviation of the percent of
 total  capacity available were computed from the distribution.
 The use of the distribution to compute loss-of-load probability
 for a  single  unit is discussed in the following section and in
 Appendix A.   The use of the distribution to compute the incre-
 mental loss-of-load probability for a regional system within
 which  the demand is distributed among different generating
 units  is discussed in Section 4.6.4.

 4-6.2      Loss-of-Load  Probability for a Single Generating Unit

           The loss-of-load probability (LOLP) is simply  the
.probability that not enough power is available to meet
 demand.   If we  define  as random variables
           Y = amount of power available,
           X = power demand, and
           L = Y - X,

 then loss  of  load occurs if L is less than zero.

           X, Y and L are  random variables_represented by~prob-
 ability distributions:   The distribution of Y was obtained
 by using the  analysis  in the  preceding section.   The probability
 distribution  of demand, X, was  discussed in Section 4.2.  A
 statistical method called convolution was used to obtain the
 distribution  of L.   Convolution as  applied to this problem
                               43

-------
is discussed in some detail in Appendix A.  The loss-of-load
probability (LOLP) was obtained by summing the probabilities of
values of L less than zero (demand exceeds available capacity).

4.6.3    Expected Effect of FGD on the Reliability of a Single
         Unit

         Consequently, if LOLP with and without FGD can be
computed as above, the effect of various  scrubber configurations
upon the reliability of an individual generating unit can be
estimated.  Table 12 shows the effect of  a scrubber on the
probability of meeting demand for each of the  four unit sizes
and types  studied.  It should be stressed that this table con-
tains  loss-of-load probabilities for individual new coal units
and not absolute probabilities for meeting demand by all units
in a system.  Since individual units are  typically part of  an
interacting  system,  this analysis is not exact and is meant
only to provide qualitative  information.

         Table  12, then, shows the effect of the number of
scrubber modules  and  the module  availability on individual
unit reliability.  Module availabilities  of 80 and  90 percent
were  considered.   In  addition,  five modules were used with  and
without a  spare module.  The effect of  these  scrubber systems
upon unit  reliability  is  listed  for 300  to  599 MWe  units  and
 600+ MWe units  in base-  and  intermediate-load  service.  The
results  expressed as  (1.0  -  LOLP) were  computed by  convolving*
 the  demand probability distribution with the  availability
probability distribution for the boiler/scrubber -system.   Case  3
which used 90 percent module availability and one  spare module
was  found to have the highest overall  unit reliability while
    The statistical method of convolution as applied to this
    study is discussed in Appendix A.
                               44

-------














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-------
Case 4, which used 80 percent module availability and no spare
module, had the lowest unit reliability.  It was found that a
base-load unit had lower'probability of meeting demand than an
intermediate-load unit, as one might expect.

          The facts that  (1) groups of individual units inter-
act and are committed, dispatched', and controlled simultaneously,
and (2) groups of generating units can suffer concurrent full
and/or partial outages, require that an entire power system be
considered as a whole.  In this case, the analysis of a single
unit definitely cannot be applied  to an entire system.  Con-
sequently, each region was  studied as groups of generating units
interacting simultaneously;  the next subsections  address this
approach  and  its resulting  estimates of changes  in  system  reli-
 ability due  to  FGD.


 4.6.4     Incremental Loss-of-Load Probability  for  a Power System

           In this  section,  the calculation of  the incremental
 loss-of-load probability (ILOLP)  for a system of units* in a
 region is discussed.   It was assumed that the  system demand is
 distributed among all units such that  the load duration curves
 of Section 4.2 were applicable to individual base-load and
 intermediate-load units.

           In a given set of calculations, the incremental loss-
 of-load probability for new coal units was obtained for a  .
 particular region, assuming that all these units in the region
 had the same number of scrubber modules and that the probability
 that a particular module was up was the same for all modules.
 Separate calculations were made for the  following cases:
  ^"System of units"  in  this  case  representing  only  a portion  of
   total  generating capacity.
                               46

-------
          (1)   no scrubbers;

          (2)   five modules  per unit and r = .9,  where r is
               the probability a given module is  up;

          (3)   six modules per unit and r = .9;

          (4)   five modules  per unit and r = .8;  and

          (5)   six modules per unit and r = .8.

These new coal generating units were classified  as follows:

          (1)   large (600 megawatts or more) base units,

          (2)   small (390-599 megawatts) base units,

          (3)   large intermediate units, and

          (4)   small intermediate units.

          The analysis presented in Section  4.6.1 was used to
calculate the mean and standard deviation of the proportion
of total power available  for a  given unit in each of  the four
categories.  Then using properties of  the mean and standard
deviation along with other information,  the mean and  standard
deviation of ;total power  available for a given region were com-
puted.  The other  information used was

          (1)   the mix of base-  and  intermediate-load new
               coal units and

          (2)  the average  sizes of the large  and of the
               small new  coal  units  in the region.

                              ', i

-------
Now define as a random variable:

          Y - total power available at all units  in  the region.

          The mean and standard deviation of Y are known,  then,
through the analysis discussed above.   Also'define.as a random
variable:

          X = total power demand at all units in the region.

          The mean and standard deviation of X can be obtained
by using properties of the'mean and standard deviation,  the
demand characteristics,  and the generation mix.  Then define
as a  random  variable:
               Y - X
                                                          (6)
           As before,  loss-of-load occurs if L is less than zero.
 The probability of this event occurring was calculated; details   ;
 of the calculation are in Appendix A.  Because of time considera-
 tions, this probability as used in this study is an incremental
 loss-of-load probability (ILOLP), since only that increment of
 system capacity composed of new coal units was considered in
 the calculation.  ILOLP's were calculated for each region with
 and without FGD on all new coal units and for each of the four
 modular configuration/availability cases.  THESE PROBABILITIES
 MUST NOT, IN ANY WAY, BE CONSTRUED TO REPRESENT ACTUAL- EXPECTED
 TOTAL LOSS-OF-LOAD PROBABILITIES FOR THE REGIONS; THEY ARE NOT.
 However, if it  is assumed that  (1) the  unit  load duration curves
 given in Section 4.2 represent operation with interactions among
 all units  (i.e., the total system is economically dispatched
 and/or operates under automatic generation control or  load
 frequency control), and  (2) expected mix of  base- and  intermediate-
 load new coal units without FGD represents operation at a
                               48

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reasonable system total loss-of-load probability with adequate
reserves (i.e., the system is neither overbuilt nor underbuilt),
then these values of ILOLP can be used to compute a percent
additional generating requirement for the system with FGD.  This
requirement represents the amount of additional generating
capacity necessary such that the computed ILOLP for the system
with FGD is equal to the computed ILOLP for the same system with-
out FGD.  In other words, if the system studied is neither
overbuilt nor underbuilt without FGD, it has a particular accept-
able reliability level.  If FGD is then required on all new coal
units, reliability is reduced such that a mean amount of additional
capacity equal to the mean additional generating requirement is
required on the average to restore mean system reliability as
measured by ILOLP to the previous level attained without FGD.

          In mathematical terms, the above computation is as
follows :
          P(L<0.0)
            =  Pi                          (7)
                  no FGD
                  and M  MWe
                       o
and       P(L<0.0)
            = Pi 
-------
Therefore, if M. is the additional generating requirement in MWe
for FGDi, then
          P(L<0.0)
P(L<0.0)
                   FGD..^
                   and  (MQ + M±) MWe  '
(9)
        no FGD
        and MQ MWe
This value  of M. was  thus  calculated  for  each  region.
           It  should be  noted that  for a given region,  L is  the
 sum of the power available  at each unit and the  (negative of the)
 demand at  each unit.   Since each region contains  at  least 40
 units,  and in most  cases,  close to 100 units or more,  it is evident
 that L is  the sum of a large number of terms. Therefore, the
 calculation of M.  could be  a very complicated and time-consuming
 process which might have been impossible given the time constraints
 of this study.  However, it is reasonable to assume that L  is-
 normally distributed:  the Central Limit Theorem in statistics
 states that under certain conditions, sums of large numbers of
 randomly varying quantities are approximately normally distributed,
 and the properties of normally distributed random variables are
 well-known and easily computed.  The normality property, along
 with the means and standard deviations discussed above,  then, were
 used to compute easily the incremental loss-of-load probabilities
 and, hence, the mean additional generating requirements M£.  F^
 is a mean value in MWe which was computed using the Central Limit
 Theorem and,  thus, other mean values.  In simplified terms, M..^
 was calculated from  the relationship
               Y - X
                   (10)
                                 50

-------
where

          L, Y, and X are mean values, and where

          Y = Y • A            '                              (11)

where

          Y = total capacity available
          A = mean new coal unit availability- for the region
              without FGD.

Therefore, M. must be scaled to represent the total capacity
requirement M. due to FGD.  This scaling is accomplished by
dividing M. by the mean new coal unit availability without FGD
for the region, A.  These results neglect the effects of.FGD
units on any additional operating capacity required.

          In the calculations discussed above, correlations be-
tween demands at different units in the same region at the same
time were not considered.  Such correlations probably exist be-
cause of several factors; for example, all units would be
affected by the same type of diurnal cycle.  The result of this
emission is to shift the incremental loss-of-load probability
toward 0.5 to some extent.  The investigation of these corre-
lations was beyond the scope and limited timeframe of this
study; it is felt, however, that the effect of the correlations
is not drastic.

4.8.5     Expected Effect of FGD on System Reliability

          This section considers the effect of FGD on the
effective generating capacity of a power system.  Listed in
Table 13 are mean expected additional generation requirements
                              51

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 Table 13.  MEAN ADDITIONAL CAPACITY REQUIREMENTS IN PERCENT OF
  NEW COAL CAPACITY TO OFFSET THE RELIABILITY EFFECTS OF FGD
Case
l(Base)
2
3
4
5
No.
Modules
0
5
5
5
5
No.
Spares
	
0
1
0
1
Availability
Per Module
	
90%
90%
80%
80%
Mean Additional
Generation_
Requirement M.

4
1
. 9
4
0
.5%
.2% (Best)
.9% (Worst)
.4%
aExpressed as a percentage of new coal capacity without FGD.
 Does not include boiler/turbine/generator availability effects.
M. for the different scrubber module configurations and different
module availabilities studied.  As was previously mentioned,
mean new coal unit availabilities for each region must be used
with these mean additional requirements to determine the amount
of actual total additional capacity required to compensate for
the generating capacity lost due to lower FGD availability.

          It can be seen from this table that the scrubber system
of Case 3 had the least effect on the system performance, while
Case 4 caused the largest decrease in system/mean available
capacity.  It must also be noted that Cases 2 and 5 had similar
mean additional generation requirements indicating that adding
a spare module compensated for the ten percent drop in module
availability.  These results may be sensitive to future statis-
tical findings .
                              52

-------
          These  calculations were made  for  the  expected
 generation mixes  in  each  reliability region and for other
 additional mixes  and capacities.  It was  found  that the mean
 percent additional requirements given in  Table  13 were independent
 of either the mix of base and intermediate  units or the total
 generating capacity  in a  r.egion.  The expected  probability of
 excess demand* for new coal is sensitive  to these considerations
 and is tabulated  by  region in Appendix  C.   This result is
 important because if the  mean percent additional capacity re-
 quirement per se  were independent of regional considerations,
 such as mix or load  factor, then the results of this study could
 be easily applied to many different cases.   Regional considerations
 would only be required to determine type  and amount of total re-
 placement capacity from the mean percent  requirement expected.
 More detailed .investigations should be made  to  verify and further
 clarify this relationship.
^Probability of excess demand = ILOLP
                              53

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                           SECTION 5
           EVALUATION AND INTERPRETATION OF RESULTS

          The effect of FGD on reliability for units put on-line
before 1986 was first evaluated and found to be only marginally
important.  Next, the effect on units put on-line between 1985
and 2000 was estimated for one individual unit and for an entire
system.   This study of the net effect of FGD on power generation
led to several conclusions.  First, significant amounts of addi-
tional capacity may be required to obtain the same ability to
meet load as can be maintained without FGD.  Second, constraints
on power interchange among power pools may restrict necessary
power flows to deficient utilities during FGD-induced outages
such that interchange cannot significantly mitigate the impact
of FGD.   Finally, an analysis of reserves indicates that systems
may be underbuilt by 1985 and thus may be unable to keep adequate
reserves or, in some cases, to meet demand.  It was found that
further reductions in reliability caused by FGD would impact this
problem.  Measures to mitigate these impacts of FGD were also
determined.

          In this section the results leading to these conclu-
sions will be evaluated.  This evaluation considers the following-
subjects:

               Additional capacity requirements
               Constraints on interchange
               Reserve policies and requirements
               Uncertainty and sensitivity of study
                               54

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5.1       Effect of FGD on Additional Capacity Requirements

          The data and methodology presented in Section 4 were
combined to provide estimates of the expected effect of FGD on
individual unit and system reliability.   This analysis assumed
that any revised NSPS would require scrubbers on all new coal
units not presently under construction.   In this section,
results are presented which reflect the effects of this
implementation of FGD on the reliability of the nine regions
of the U. S. before 1986 and between 1985 and 2000.

5.1.1     Effect of FGD on Reliability - Units On-line Prior to
          1986

        .  It was found that the proposed NSPS for coal-fired
power plants will not drastically affect units which are on-line
prior to 1986 because many of these units are already under
construction.  However, to subjectively determine the effect of
any scrubbers on-line during this period, data furnished by
EPA11* for units and FGD systems presently either planned or
under construction were collected and analyzed.  These data
are summarized in Table 14.   As can be seen from the table,
only about 20 percent of the new coal units on-line in 1985
are expected to have FGD systems.
                               55

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       Table  14.  ESTIMATED SCRUBBER ADDITIONS BEFORE 1986
New Coal
Region New Coal MWe New
1
2
3
4
5
6
7
8
9
U.
a
b
- ECAR
- ERGOT
- MAAC
- MAIN
- MARCA
- NPCC
- SERC
- SPP
- WSCC
S. TOTAL
Teknekron data
EPA data cited
30,122
7,798
2,500
8,752
10,942
2,278
12,862
17,097
. 27,985
120,336

in above text
7= Total No. a
Generation Units •
62%
54% '
127o
387,
1007o
137=
287,
567,
597=
467=


59
14
4
21
27
5
24
32
65
251


No. ' b
Scrubbers -
12
6
0
4
7
1
3
4
17
54
— -..

          From a more rigorous standpoint, NERC reports that 20
percent of the total additional generating capacity required in
1985 is presently not under construction.17  If it were there-
fore assumed that 20 percent of new coal capacity on-line before
1986 were also not under construction, then from Table 13, a re-
vised NSPS would only affect about 9 percent of the total new
national generating capacity.  For the worst case studied (5
modules/no spares at 807= availability) this effect can' be
estimated as requiring about 5100 additional MWe nationwide.
This estimation was done using the methods described in Section
4.6.4 for new coal generation on-line between 1985 and 2000.
                               56

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          Therefore, because of the small number of scrubbers
planned in each region prior to 1986 and the small percentage
of total additional generation which might require FGD, it is
expected that the implementation of a revised NSPS would have
very little effect on overall regional system reliability prior
to 1985.  There are few possible exceptions to this statement:
one is WSCC, where overall reliability will probably not be
adversely affected, provided that another massive water shortage
does not occur.  These conclusions are, of course, subject to
change if (1) more widespread use of FGD were required in this
period, (2) construction of new units continues to be delayed
(Section 5.3) such that systems are significantly underbuilt,
(3) scrubbers are installed without spare modules and with lower
modular availability (<80%) than is presently assumed, or
(4) another massive fuel shortage occurs at the wrong time of
year and puts a large number of units out of service.

5-1.2     Effect of FGD on Reliability - Units On-line Between
          1985 and 2000

          Assuming that the forecasts and data in Section 4
(without scrubbers) are correct insofar as reserves are concerned,
(i.e., future system reliability is within reasonable bounds
and required reserves are maintained), then the effect of FGD
would be to produce a deficit in available generation such
that reliability standards and reserve requirements would no
longer be met.  The results in Section 4.6.5 were analyzed based
on this assumption to give ,the additional generating capacities
which must be planned for and added in order to make reliability
as measured by ILOLP equal to the base case (no scrubbers) ILOLP
values for each region.  These mean additional capacity require-
ments M  in percent (as in Section 4.6.5) were found to be
virtually identical by case regardless of system configuration.'
                               57

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Total additional capacity in MWe thus required in each region
with FGD was obtained by dividing the mean additional capacity
requirement in percent by the mean new coal unit availability
for each region and multiplying by the amount of new coal genera-
.tion MWe,  as in Section 4.6.4.  Thus, this study has recognized
that this  additional capacity would .operate at the same mean
availability as new coal without FGD.  Table 15 gives these
expected additional requirements in MWe  to offset FGD reliability
only for the five  cases studied by region and nationally.  In
addition,  energy penalties  associated with scrubber operation were
determined; these  total expected generation requirements  to off-
set these  penalties by region  are shown  in Table 16.  As  was the
case for reliability results,  operation  at the same availability
without FGD as  other new  coal  was considered.  Total additional
capacity required  to offset FGD  (reliability plus  energy)  is
seen in Table  17.

           As will  be discussed in Section 5.3, it  was  found  that
this additional capacity  will  most  probably be made up  of new
units.   If present trends continue,  these new units will  probably
also be new  coal units.   The additional  generating requirements
due to FGD were therefore estimated in terms of  equivalent
 600 MWe coal  units.*  These estimates  are summarized  in Table  18.

           It  can be seen from Tables 15-18 that  a  large amount of
 additional generation will be required to offset the-effects of
 the widespread implementation of FGD.   Since  the 1970  NFS
 estimates that demand during the period 1990-2010' will double
 about every 10-12 years,  these additional requirements after 2000,
 will also increase in like manner.   Therefore, it is important to
 consider measures which would mitigate  the impact of FGD.  If it
 is assumed that the United States will continue to develop its
    600 MWe units were assumed in order to agree with assumptions
    in the Teknekron data.
                               58

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   Table 15. ADDITIONAL  CAPACITY  REQUIREMENTS  IN MWe  TO  OFFSET
             FGD  RELIABILITY  ONLY IN  2000
Region
1-ECAR
2 -ERGOT
3-MAAC
4 -MAIN
5-MARCA
6-NPCC
7-SERC
8-SPP
9-WSCC
MWe
Case 1
(Base)
0
0
0
0
0
0
0
0
.0
U.S. TOTAL 0
MWe
Case 2
(5/0@90%)
7,490
4,295
2,115
3,290
1,600
1,840
5,120
4,625
4,605
34,980
MWe
Case 3- a
(5/1(390%)
1,995
1,145
565
880
425
490
1,365
1,235
1,230
9,330
MWe
Case 4 b
(5 70(380%)
16,480
9.445
4,650
7,245.
3,515
4,055
11,260
10,170
10,130
76,950
MWe
Case 5
(5/1(980%)
7 , 325
4,11.5
2,065
3,220
1,560
1,800
5,005
4,520
4,500
34,190
a Best Case
b Worst Case
                              59 '

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    Table 16.   EXPECTED ADDITIONAL GENERATION REQUIREMENTS  DUE
               ONLY TO FGD ENERGY USE PENALTIES BY REGION
               IN 2000
Region
1-ECAR
2 -ERGOT
3-MAAC
4-MAIN
5-MARCA
6-NPCC
7-SERC
8-SPP
9-WSCC
U.S. TOTAL
Maximum Additional Generation
Requirements Due to FGD Energy
Penalty - MWea
6,325
3,245
1,785
2,780
1,210
1,555
4,320
3,495
3,480
28,200
a  Includes only effects of new coal unit boiler/turbine/generator
   mean availability.
                              60

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        Table 17.  TOTAL  FGD-RELATED ADDITIONAL CAPACITY
                   REQUIREMENT  BY REGION IN  2000  - MWe
Region
1-ECAR
2-ERCOT
3-MAAC
4 -MAIN
5-MARCA
6-NPCC
7-SERC
8-SPP
9-WSCC
Case 1
0
0
0
0
0
0
0
0
0
Case 2
13,815
7 , 540
3,900
6,070
2,810
3,400
9 ,-440
8,120
8,085
Case 3a
8,320
4,390
2,350
3,660
1,635
2,050
5,685
4,730
4,710
Case 4b
22,805
12,690
6,435
10,025
4,725
5,615
15,580
13,665
13,610
Case 5
13,650
7,440
3,850
6,000
2,770
3,360
9,325
8,015
7,980
U.S.  TOTAL  0(base) 63,180    37,530   105,150     62,390
a Best  Case

  Worst Case
                              61

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     Table 18. TOTAL FGD-RELATED ADDITIONAL CAPACITY REQUIRE
               MENTS BY REGION IN 2000 - 600 MWe  COAL UNITS
Region
1-ECAR
2 -ERGOT
3-MAAC
4 -MAIN
5-MARCA
6-NPCC
7-SERC
8-SPP
9-WSCC
U.S. TOT^
Case 1
0
0
0
0
0
0
0
0
0
VL 0 (bas
Case 2
_ 23
13
7
10
5
6
16
14-
14
ie) 108
Case 3 *
14 _
•7
4
6
3
4
10
8
8
64
Case 4 •
38
21
11
17
8
10
26
23
23
177
Case 5
23
13
7
10
5
6
16
14
14
108
Best Case

Worst Case
                             62

-------
coal resources as in the President's energy plan, then several
alternative measures to mitigate the impact of FGD are possible.
These alternative mitigation measures include:

          1.  Use of spare FGD modules
          2.  Allowance for bypass of scrubber modules on
              outage status with reasonable restrictions,  such
           , ,  as when load cannot be met
          3.  Use of alternative technologies which meet a
              revised NSPS without FGD or with reduced FGD.

            Other possible mitigating measures include  the purchase
 of  power  from other utilities  or  the carrying of additional
 reserves  on older units.  However,  the next  two  sections indicate
 that these latter two alternatives are too tightly constrained
 to  be highly significant mitigation measures.

5 . 2       Evaluation of Interchange Constraint's

          In the event of an FGD-related outage on a single unit
or a number of units, it is possible in some  cases for a utility
or power pool to purchase emergency power from another utility
or pool.  Hence, this study has included an investigation of the
constraints on power interchange among utilities.  Many of these
constraints must be evaluated using classical electrical AC net-
work theory,  since the flow of power in a network is directly
related to the state of the network at a given time.  Such an
evaluation was beyond the scope of this study.  Furthermore,
the explanation  of network constraints given in this section
is  highly simplified.   In addition, this section also evaluates
reported non-simultaneous power transfer capabilities for  the
nine NERC reliability councils.
                                63

-------
          Power interchange among utilities is restricted by
many different constraints.  These constaints include excess
generation in a given area, maximum tie line power flow cap-
abilities, and contractual constraints.  The capability to
transfer power requires accessible; available power generation
and, more importantly, accommodating .tie line and supporting
transmission networks.  It should thus be rioted that regardless
of desires, contractual requirements, or net interchange capabili-
ties, power transfer is, in the end, directly controlled by the
instantaneous state of the generating system and the network.
If generation is unavailable, power cannot be transferred.  More
importantly, if a network in a given instantaneous state
(regardless of its design or available generation) cannot
accommodate a desired power flow  from point A to point B at a
given moment when it is needed, very little can be done to
alleviate  the situation.  Moreover, interconnection does not
eliminate  reserve requirements and  thus  cannot eliminate the
additional  generation requirements  caused  by FGD;  it merely dis-
perses  them.  In the case  of highly constrained interchange,  as
exists  in  the U. S., it  is  doubtful that a reasonable  dispersion   ,
of  the  large  amounts of  additional  generation required by  FGD
could be achieved.

           Several  constraints  resulting from system design and
instantaneous  network state may be encountered during  the  trans-
fer  of power.15   Network and generation configurations  including
location of plants,  generation type, transmission voltage,  instanta-
neous plant power output, transformer tap settings, and -so on,  can
strongly affect a utility's ability to interchange power.   For ex-
ample,  nuclear units require an extended outage (one month) for
refueling at predetermined intervals for optimum utilitization
of the nuclear fuel.   These scheduled outages can cause problems
when forced outages occur coincidentally.  Under certain normal
network conditions,  large generating plants which are electrically
                                  64

-------
close to tie  lines  can impair  tie  line  flows  to values  far below
rated capacities.   Furthermore, operating  constraints can influence
tie line capabilities.  Utilities  which rely  on only one major  fuel
(usually at a uniform price) do not routinely interchange power
with other utilities because it is not  economical.  For example,
ERGOT, which  traditionally has relied' almost  solely on  natural  gas
at a uniform  price  has not engaged in significant amounts of
economy power exchange among its members.  Utilities of this type
may be interconnected but generally do not have transmission net-
works which can accommodate massive power  flows which might be
necessary in  the event of a large  outage.  Conversely,  when a
region does routinely interchange  large amounts of power on an
economy basis, emergency transfers may be severely restricted be-
cause tie line and  supporting network flows are already near the
capabilities  of the transmission lines.  Tie  lines and  network
design (or network  state) may affect connections in another way.
One major impediment to efficient  energy transactions in WSCC is
loop flow.  The western part of this region is a relatively low
impedance network;  the eastern part, high impedance.  The result
of this situation is that the actual flow of  power through these
interconnections may not match the scheduled  transfer of power be-
tween control areas, and power may, in fact,   loop completely around
the system.   Loop flow can overload essential tie lines so that
in the event of an  emergency,  bulk power transfers become im-
possible.  In fact, if loop flow should occur as a result of or
in conjunction with power loss at a marginally stable location on
a network whose state (or configuration) is also marginally
stable,  the flow of power can even reverse itself away  from the
areas where the need is greatest.   This reversal generally has
a cascading effect which can result in a massive blackout.

          In addition to generation and transmission constraints
contractual  constraints on interchange also exist.   In general,
these contractual constraints  are  controlled by regulatory
                               65

-------
agencies.  While most utilities have emergency short-term power
exchange/payback agreements with their neighbors, utilities in
many of the power pools and/or utility companies state in their
interchange contracts that they are under no firm obligation to
supply power in the event of forced outages of equipment, missed
load forecasts, or fuel supply problems for any specific period
of time.  This practice is, in many cases, required by regula-.
tory agencies in order to maintain adequate service to the
supplying utility's own customers.  This practice may thus in-
convenience a receiving party should a power transfer be terminated;
such termination can and probably will result in a severe power
disruption.  This type of disruption usually occurs when the
supplying utility experiences a coincident outage.  Obviously,
the probability of this type of power cutoff increases with the
widespread use of FGD systems since it has been shown that FGD
reduces unit availability and system reliability.  Also, in many
cases, interchange transactions must be scheduled.  For example,
Middle South Utilities Company, located in SPP, has required in
the past that the receiving party furnish a schedule twenty-four
hours and, sometimes seventy-two hours, in advance of the inter-
change transaction.  This scheduling delay, however, can be
avoided through mutual agreement if it is to the advantage of
both parties, as in an emergency.  Middle South also burns
cheaper fuel for their own system load and reserves the higher
priced fuel for power transfers.  This practice, generally regu-
lated to assure their customers of a cheaper rate, can cause
delays in emergency shipment to cover extended outages if the
price of power is too high.  In addition, political constraints,
such as recent actions by some states to keep cheaper types of
power at home, can influence the power interchange transactions
from region to region.
                               66

-------
          While it has been shown above that interchange of
power is strongly constrained by a number of factors, it is
still important to evaluate any maximum interchange capabilities
which might be required in the event of an outage.  Present and
expected future power interchange capabilities vary considerably
from region to region.  The following diagrams show the potential
non-simultaneous energy transfer capabilities of each of the
nine NERC reliability regions with neighboring regions and sub-
regions. l6'l7   Each of these capabilities represents the maximum
possible power transfer capability which might be expected under
ideal network conditions.  Furthermore, each of these interchange
capabilities represents a non-simultaneous interchange; i.e., not
all transfer capabilities shown can be utilized at once.  Actual
transfer capabilities thus can be expected to be somewhat less
than these values for reasons given previously.

          Figure 9 shows that WSCC  (Region 9), presently partici-
pates in no significant interregional power transfers; it is
anticipated that the minor interconnections with MARCA  (Region 5)
which presently exist will not  increase  significantly in  size due,
to stability  considerations.  WSCC  does  have  strong  subregional  ,
power transfer capabilities  among member utilities;  this  sub-
regional  interchange capacity is  expected to  increase in  the
 future.  Figure 10 shows  that ERGOT (Region 2),  the  most  indepen-
 dent reliability region,  still has no interconnections with any
 other regions.   It is anticipated that this situation will probably
 not change in the future.   However, ERGOT is  divided into northern
 and southern subregions which can,'and do,  engage in limited emer-
 gency power exchange among member utilities.

           MARCA, Figure 11, can engage in power interchange with
 MAIN (Region 4), SPP (Region 8),  and WSCC.  It appears that MARCA
 will gradually increase energy import capability and decrease ex-
 port capability to MAIN over the next six years, while power in-
 terchange capability with SPP should remain relatively constant.

                               67

-------
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The seven subregions of MARCA can also transfer power among
themselves.  SPP, Figure 12, can exchange power with SERC
(Region 7) and MAIN in addition to MARCA.  SPP also can inter-
change heavily among its four subregions.  Figure 13 shows that
MAIN can engage in sizable power exchange with MARCA, SPP, ECAR
(Region 1), and SERC.  These exchange capabilities are expected
to increase by 1984.  MAIN is divided into six subregions which
also can engage in heavy power transfer.  SERC, Figure 14, is
subdivided into eight subregions which are also involved in
power interchange.  SERC also can transfer power with SPP, MAIN,
ECAR, and MACC (Region 3).  These transfer capabilities are ex-
pected to increase, with one exception; by 1984, energy export
capabilities to SPP should decrease considerably.  This reduction
could indicate the installation of a new large generating unit
by a member of SERC in the area of that particular interconnection.
NPCC, (Region 6), Figure 15, power pools with ECAR and MAAC, and
is composed of six subregions which also can transfer large
amounts of power among themselves.

          Figures 16 and 17 show the interchange capabilities of
ECAR and MAAC.  These regions are not divided into subregions,
and are generally dispatched as single systems without regard to
individual member utilities.  Therefore, their power interchange
capabilities per se are strictly interregional.  ECAR has inter-
change capabilities with MAAC, MAIN, and SERC; and MAAC can inter-
change with SERC, ECAR, and NPCC.

          From the above figures and text, it is apparent that
the eastern power pools are more tightly interconnected than the
western pools; however, no interconnections have been made
between the east and the west.  It is doubtful that any major
east-west interties will be established before 2000, if at all.
                                 71

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          Power pools with more efficient tie line networks.
coupled with increased reserves could alleviate some disruptions
in power flow caused by FGD.  However, because of fairly strong
constraints on the interchange of power among different regions,
it was determined that bulk power shipments most probably could
not significantly reduce the additional capacity requirements
caused by widespread implementation of FGD over long periods of
time.
5.3
Evaluation of Utility Reserves
          Generation reserves for utilities are essential in
maintaining continuity of service.  Shortages in power resulting
from forced outages,  delays or maintenance on new generating
units,  and fuel supply problems,  require the use of reserve
generation to maintain a given level of reliability.  Reserves,
therefore, must be maintained at levels sufficient to cover
anticipated possible power losses.  Such power losses include:

             an error in load forecast such that actual peak
             load exceeds forecast by 15-20 percent,

             the loss of the largest generating unit or plant
             on a system,

             the loss of the largest transmission line-on a
             system, and

             the loss of the largest interconnection with
             imported power.
                               78

-------
The amount of reserve generation utilized in each individual
region ranges between 15 and 20 percent and is 'not uniform
across the nation.  This range of percent reserves is generally
considered by the industry to be adequate, although  15 to 25
percent of capacity is preferred for- the mean unit sizes in
use today.

          Since it has been shown in  previous  sections that use
of FGD on all new coal units will reduce system  reliability,  it
follows that FGD will increase  system  reserve  requirements:
Hence, if a  revised NSPS were  adopted,  additional  generating
capacity  would have to be added to the nation's  utilities in  order
to maintain  levels of reliability achieved without FGD; required
amounts were seen in Section  5.1.2.  Two factors regarding re-
serves, then, are relevant  to  a discussion of the  impact of FGD
on power  system  adequacy.  These factors are:


          (1)  how the additional generating  requirements imposed
              by widespread use of FGD will  be met,  and

          (2)  whether or not  systems without FGD can be  expected
              to contain adequate reserve  capacity in 2000.
 These factors will now be addressed.

           System reserve  requirements are affected by many differ-
 ent  considerations.   In  order  to increase  generating capacity as
 required  by  the use  of FGD,  several strategies  could be  employed;
 these include the  following:
                                79

-------
            construction of larger or oversized generating
            units

            construction of additional generating units of
            average size

         •  utilization of interchange

         •  modification of load, shape, i.e., load factor.

The effect of each of these strategies on system reserve require-
ments will not be discussed.  First, as the average unit size
increases on a system, the percent reserve requirements must also
increase to maintain a constant loss-of-load probability.  An
example of this requirement is shown in Figure 18.  In general,
if all other variables are held constant, a unit larger than
average will affect reliability in a negative fashion in propor-
tion to the square of its size.2  For example, a 600 MWe unit
would have nine times the effect of a 200 MWe unit on reserve
requirements.  Hence, oversizing of units reduces system re-
liability and increases reserve requirements.  On the other
hand, reserve requirements are reduced as the number of units
increases because the magnitude of a failure is reduced.  A
system with one unit with a capacity of X MWe would require at
least 100 percent reserves but a system with four units, each
with capacity X/4 MWe, would require only 25 percent reserves
to obtain essentially the same level of reliability.  A similar
reduction in reserve requirements can be seen through -the use
of interconnections with other utilities.  Load factor also
influences the reliability of a system; in general, the higher
the load factor, the greater the percent reserve requirement.
This is because a high load factor generally indicates a fairly
flat load shape with substantially equal loads throughout the
                                80

-------
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100,000
90,000
80,000
70,000
60,000
50,000
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JT RESERVE REQUIRED FOR LOSS OF
rO BE' EXPECTED ONE DAY EVERY TEN
BASED ON:
GENERATOR FORCED OUTAGE RATE OF 2%
LOAD FORECAST ERROR - STANDARD
DEVIATION OF ±3%
SCHEDULED MAINTENANCE FILLS UP
SEASONAL LOAD VALLEY
SYSTEMS CONSIST ENTIRELY OF INDICATED
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15 20 25 30 35 40 45 50
                              REQUIRED PER CENT RESERVE
Figure 18.
Reserve requirements as a.  function of unit  size

Reprinted  from 1970 NFS; no  copyright.
                                 81

-------
year.  This type of load characteristic does not allow for
maintenance which is usually done during extended periods of low
load.  Hence, the risk period is longer and additional reserves
must be maintained to cover units on maintenance status.  Energy
conservation measures to increase base load and reduce peak load
as evidenced, for example, in time-of-day metering would, thus,
tend to increase percent reserve requirements from their present
levels.  Reductions in load factor, on the other hand, reduce
percent reserve requirements at the expense of system economy.
Furthermore, it is presently quite difficult to control load
shape to the extent that the effect on reserve requirements is
highly significant.  Therefore, it can be readily seen that the
feasible strategies for overcoming the effect of FGD are the
following:

           (1)  construction of  additional generating units
               of average size

           (2)  utilization of interchange

           (3)  modification of  load shape

Since  it is  difficult to  control  load  shape in order  to  reduce
reserve requirements and  since  it has  been shown in Section 5.2
that interchange may be strongly  constrained in the future, the
most feasible method of reducing  reserve requirements or over-
coming a decrease  in reliability  caused by FGD would  be  to build
more generating units of  average  size.  Since coal units are
presently  and probably will continue to be the most economical
units  to build and operate, it  follows that decreases in reli-
ability  (and, thus,  increases  in  system reserve requirements)
caused by  the widespread  use  of FGD, as called  for in the  revised
NSPS,  will be met  in  almost all cases  by  the construction  of  new,
additional coal units of  average  size.
                                82

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          It is important to consider the probable future
generation reserve situation in order to determine if any effects
of FGD might be mitigated or possibly amplified.  Nationwide
reserve generation is expected to drop within the next few years
as a result of insufficient power generation expansion.17'18
According to NERC, this problem is a result of the long lead times
required for the approval and construction of new plants.

          Figure 19 depicts large unit generating capacity to be
added nationally in the next ten years.  Twenty percent of this
capacity is not yet under construction.  It can be projected that
a certain amount of delay will be encountered with these gener-
ating units.   NERC projects that coal-fired generating units which
are not presently under construction will probably be delayed
one year.   Nuclear generating units which do not have construction
permits will probably be delayed two years, and those units which
are already under construction will be delayed one year because
of difficulties in obtaining operating licenses.  These delays do
not reflect intentional delays caused by reduced growth in demand.
Figure 20  shows a potential deficit in national operating reserves
beginning in 1980 as a result of these delays in construction and
operation.   If this trend continues,  the expected peak demand,
as seen in this figure, could rise above generation capabilities
as early as 1990.   Since generation reserves are not uniform
across the nation, each reliability council should be considered
separately.  The following paragraphs discuss projections of the
probable ability of each reliability council to meet demand and
maintain sufficient reserves.  These projections are based on a
future growth rate of 5.7 percent per year, as opposed to 7.0 -
7.5 percent per year used prior to 1977.

          The individual reliability councils function according
to their own unique conditions.  Consequently, the system reserve
policies and outlooks of these regions vary.  Figure 21 shows
                                83

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                       FOSSIL AND NUCLEAR

                   GENERATING UMT ADDITIONS

                      (300 MW AND LARGER]

                        (CONTIGUOUS  U.S.)
MEGAWATTS
   X  1000
     300i-
     200 -
                                    UNDER CONSTRUCTION
      100 -
        rt      *L-    — ^- -—	-	*	——1^—————JL——^.——1^——••••••^•^^•^••..•^••^•^•••^

        1977 1978 1979  1980  1981  1982  1983 1984 198S  1986
Figure  19.
NERC large unit construction forecast - U,  S.  through
1986.  Reprinted from "7th  Annual Review..."   (Ref.  17)
by NERC,  1977,  with permission.
                                84
                                                                     02-2S71-1

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                   NERC (CONTIGUOUS  U.S.)

               CAPABILITY/PEAK LOAD/RESERVES

                      (SUMMER SEASON)
        MEGAWATTS
        X  1000
            800J-
            700 -
            60O-
            500
            400
            3OO
            200
            100
                          CAPABILITY
                                     PEAK LOAD
                     RESERVES
              1976  1978  1980  1982  1984   1986
              	 PROJECTED
              	POTENTIAL

                 POTENTIAL DEFICIT
Figure 20.   NERC reserve forecast for contiguous  U.  S.  Reprinted
             from "7th Annual  Review..."  {Ref.  17),  by NERC,
             1977, with permission.
                                 35
                                                                     02-2S72-1

-------
       MEGAWATTS
          X 1000
            120
            100
             80
             60
             40
             2O
                              PEAK  LOAD
                           RESERVES
              1976  1973  1980  1982  1984  1936
               — PROJECTED
               —- POTENTIAL
                   POTENTIAL DEFICIT
Fisure 21   NERC  reserve forecast  for Region 9  -  WSCC.   Reprinted
            from  "7th Annual Review..."  (Ref.  17),  by NERC,
            1977,  with permission.
                                  86
                                                                      02-2S74-1

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 the reserve requirement of WSCC .(Region 9) .   It should be noted
 that a large portion of WSCC is supplied by hydroelectric genera-
 tion where water availability is somewhat undependable.  However,
'capability of supplying the peak load in this region does not
 appear to present a problem in the near future, provided no
 further water shortages are experienced.

           MARCA (Region 5),  Figure 22, could encounter a reserve
 deficit as early  as  1982.  This region's generation capabilities
 might not meet  peak  demand as early as 1986.   Any further delays
 in construction past about 1985 could result in severe power
 shortages.   Another  similar  situation is anticipated for SPP
 (Ps.egion 8);  Figure 23.   The  potential deficit for this region
 could be as high  as  10,000 MWe  in 1986.  SERC, (Region 7),
 Figure 24, may  also  experience  a deficit in 1978; however, a
 downward trend  in reserves might not actually develop until 1980.
 SERC does not appear to have any difficulty in meeting peak
 demand in the near  future.   Figure 25, MAIN (Region 4), follows a
 trend similar to SERC.  A potential deficit could begin as early
 as 1979, but does not actually drop significantly until 1984.
 SERC may, however,  have trouble meeting peak load before 1990
 if construction of additional generation capability is further
 delayed.  In the case of ERGOT, (Region 2),  Figure 26, reserve
 generation will probably remain high until 1984, when a potential
 deficit could occur.  Based on these NERC projections, it is ex-
 pected that ERGOT will be capable of meeting peak loads through
 2000.  By 1990, ECAR  (Region 1), could experience a power
 shortage  if peak load  indeed becomes greater than generation
 capabilities, Figure 27.  ECAR's reserve generation may decline
 in- 1980 with an increased deficit in 1984.  MAAC  (Region 3) and.
 NPCC  (Region 6), Figures 28 and 29, are the regions with the
 most  favorable outlooks.  No trouble in meeting demand is pro-
 jected  for either region through 2000.  The reserve generation
 anticipated  for both regions remains relatively sufficient;
 however,  after 1982,  some deficiencies  could occur.
                                87

-------
       MEGAWATTS
          X  tOOO
              sop
              40-
              30
              20
              10
                                  PEAK  LOAD
                               RESERVES
              1978  1978  1980   1982  1984   1986
                —- PROJECTED
                — POTENTIAL
                    POTENTIAL DEFICIT
Figure 22.   NERC  reserve forecast  for Region 5 - MARCA.   Reprinted
             from  "7th Annual Review..."  (Ref. 17),  by NERC,
             1977,  with permission.
                                 88
                                                                      02-2578-1

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       MEGAWATTS
           X  1000
             SO
              70
              SO
              50
              40
              30
              10
                                     LOAD
                            RESERVES^
              1978  1978  1980   1982  1984   1986
               — PROJECTED
               —- POTENTIAL

                    POTENTIAL DEFICIT
Figure 23.
NERC reserve forecast for  Region 8 - SPP.   Reprinted
from "7th Annual Review..."  (Ref. 17), by NERC,
1977, with permission.
                                89
                                                                      02-2573-'

-------
       MEGAWATTS
          X 1000
            175
            150
            125
             100
             75
                          CAPABILITY
                                PEAK  LOAD
                             RESERVES.
              1376  1973  1980   1982  1984  1988


               — PROJECTED
               —-— POTENTIAL

                    POTENTIAL DEFICIT
Figure  24.
NERC reserve forecast  for Region 7  -  SERC.   Reprinted
from "7th Annual Review..."  (Ref.  17),  by NERC,
1977, with permission..
                                90
                                                                      02-2575-1

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      MEGAWATTS
          X  1000
             so-
             40 •
             30
             20
             10
                     CAPABILITY
                                PEAK LOAD
                       RESERVES
              1976  1978 1980  1982  1984  1988
               — PROJECTED
               —— POTENTIAL

                   POTENTIAL  OEFICJT
Figure 25.   NERC reserve forecast  for  Region 4 - MAIN.  • Reprinted
             from "7th Annual Review.,."  (Ref. I/), by  NERC,
             1977, with permission.
                                91
                                                                     02-2579-1

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      MEGAWATTS
          X 1000
             60
             50
             30
             20
              10
                             CAPABILITY
                                      PEAK  LOAD
                              RESERVES
              1978   1978  1980  1982  1984   1986

               — PROJECTED
               -— POTENTIAL
                    POTENTIAL DEFICIT
Figure 26.
NERC reserve forecast  for Region 2 - ERGOT.   Reprinted
from "7th Annual Review..."  (Ref. 17),  by NERC,
1977, with permission.
                                 92
                                                                     02-2581-1

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       MEGAWATTS
          X 10OO
            1201-
             100-
             SO-
             60
              40
              2O
                                 CAPABILITY,
                                  PEAK  LOAD
                        RESERVES
              1978   1973  19SO   19S2  1984   1986
               — PROJECTED
               -—POTENTIAL

                    POTENTIAL DEFICIT
Figure  27.   NERG  reserve forecast for Region  1  -  ECAR.  Reprinted
             from  "7th Annual Review..."   (Ref.  17),  by NERC,
             1977,  with permission.
                                 93
                                                                      02-2576-1

-------
      MEGAWATTS
         X  1000
             60 p
             50-
             30
             10
                                    LOAD
                          RESERVES^
              1976  1973 1980  1982  1934  1988
               — PROJECTED
               — POTENTIAL

                   POTENTIAL  OEFJCJT
Figure 28,
NERC reserve forecast for Region 3 - MAAC.  Reprinted
from "7th Annual Review..."   (Kef. 17), by NERC,
1977, with permission.
                                 94
                                                                     02-2S80-1

-------
      MEGAWATTS
          X  1000
              60-
              50
              40
              30
              20
              10
                            CAPABILITY/ ''
                                         LOAD
              1978  1973  1930  1932  1984  1938
                	 PROJECTED
                —- POTENTIAL

                    POTENTIAL  DEFICIT
Figure 29.  NERC reserve forecast  for  Region 6 - NPCC.   Reprinted
            from "7th Annual Review..."  (Ref. 17),  by  NERC,
            1977, with permission.
                                 95
                                                                     02-2S77-1

-------
          Should any further delays be encountered in new
generating unit or major transmission line installation and
operation, serious deficiencies in capacity could result.   If
these delays result in systems being underbuilt in terms of
actual reserve capacity after 1985 as these projections
indicate, the impact of FGD would be amplified, since FGD has
been shown to reduce generating unit availability, and, hence,
system reliability.
                                96

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5.4       Sensitivity of Results to Projected Demand and
          Generation Mix Statistics

          The analysis in this study considered only new coal
units and their incremental contribution to system reliability.
Due to many unpredictable factors,  the exact number of new coal
generating units which will be operational in the future and its
percentage of total generation cannot be known.  The number of
units, moreover, affects the demand at any given plant and the
mix of base- and intermediate-load new coal units.  Thus, it is
of interest to know how sensitive the results are to the demand
distribution and the mix of unit duty types.

          Calculations were performed for a wide variety of cases
to investigate the sensitivity.  These cases involved the follow-
ing load factors:

          (1)  70% for base units and 55% for intermediate
               units, and

          (2)  60% for base units and 45% for intermediate
               units.

          The mix of base- and intermediate-load new coal units
was also varied.  The fraction of new coal base units was varied
from 0 to 100 percent in steps of ten percent.  This set of runs
was performed for the first set of load factors listed, above.  It
was found that the following quantity Q was essentially invariant
as the load factors and mix were changed:
                               97

-------
where
          X™ m available power minus power demand assuming no
               scrubbers are used,
          Xl =3 available power minus power demand assuming
               scrubbers are used,  and
             * total estimated new  coal capacity.
          The quantity Q is the decrease in excess capacity
over demand when scrubbers are added as a proportion of total
capacity.  Since demand is the same whether scrubbers are used
or not, however, Q can also be viewed as the decrease in total
power available due to the use of scrubbers as a proportion of
total capacity.

          The invariance of Q is indicated by the fact that
for all load factors, mixes, and regions considered, the values
of Q were the same to -three significant figures .  The conclusion
is that the proportional decrease in available power due
to the use of  scrubbers  is insensitive to quantities which had
to be projected into  the future and which are therefore un-
certain.  The variable Q,  then, is a reliable output of the
study in this respect.  The values  of Q for various scrubber
configurations  are given  in Table  19-  As  expected, Q does
change as the number  of  scrubbers or the probability r changes
 (r has been previously defined as  the expected  availability of
 a scrubber module) .

          The  reason why Q is insensitive is that as the mix
o-r  demand statistics  are changed,  the available capacity with
scrubbers and the available capacity without scrubbers are
affected in  the same way, according to the assumptions in this
study.   Actually, these parameters might vary slightly because
the  FGD  unit itself places a demand on the generating unit
                               98

-------
(energy penalty) which would not exist without FGD.  From the
above definitions ,

          XT = CNC - D(M)                                     (13)

and

          XT = Ck " D(M)                                     (14)

where

          CNC = new coal capacity available without FGD
          C'
           NC  = new coal capacity available with FGD
          D(M) = power demand (as formulated, D(M) is function .
                               of the mix of base- and intermediate-
                               load new coal units)

From Equation (12) , then

              C   - D(M) - (C'  - D(M)
          Q = _NC - - NC -                       (15)
                         UNC

and, thus

              GNC ' CNC * D(M) + D(M)
                c    NC
From this equation, it can be seen that the power demand as a
function of mix cancels out, leaving Q invariant in terms of load
factor and mix of base-load and intermediate-load new coal units.
The incremental loss-of-load probability for a given scrubber
configuration, however, is very sensitive to such changes.  The
incremental loss-of-load probabilities sometimes change by several
                               99

-------
tenths as the mix or demand is varied.  The incremental loss-of-
load probabilities, then, are more sensitive to predictions of
future conditions and, thus, are probably less reliable than is
the quantity Q discussed above.  However, these incremental loss-
of-load probabilities do not reflect system loss-of-load prob-
ability; they only represent the effect on. new coal units given
the assumption that the system without FGI) was designed in a
reasonable manner for a reasonable total system loss-of-load
probability.

          The sensitivity of the incremental loss-of-load prob-
ability to load factor is demonstrated by Tables 20 and 21.  It
is seen that as the load factors are decreased by ten percent,
the incremental loss-of-load probabilities sometimes decrease
dramatically.  However, it should be noted that the 6070/45% load
factors vary considerably from the load factors associated with
the EEI outage data (Section 4.4); it may well be that unit outage
data used are invalid or nearly invalid for this case, since,
in reality, these load factors tend to reflect more intermediate
or peaking duty from an entirely different class of units whose
outage rates were not examined.  The 70%/557o load factors used
as the basis for this study are more in line with the EEI data
and are thus, considerably more reliable.
                               100

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Table 19 .   ADDITIONAL GENERATION  REQUIRED  FROM THE USE
            OF SCRUBBERS AS A PROPORTION OF TOTAL NEW
            COAL CAPACITY
Case
l(base)
2
3
4
5
Note: These
No. of Scrubber
Modules a
0/0
5/0
5/1
5/0
5/1
values apply for
Probability
r
	
.9
.9
.8
.8
all regions and
Proportional Def
icit in Genera-
tion
0.0%
4.5%
1.2% (Best)
9. 9% (Worst)
4.4%
different generation
       mixes.
 '(Active modules/spares)
  Table 20 .   INCREMENTAL LOSS-OF-LOAD PROBABILITIES (ILOLP)
              FOR WORST CASE (5 ACTIVE MODULES/NO SPARES;
              r - 0.8) LOAD FACTOR SENSITIVITY TEST
Generation Mix Used
Region (% Base/% Inter.)
1-ECAR
2 -ERGOT
3-MAAC
4-MAIN
5-MARCA
6-NPCC
7-SERC
8-SPP
9-WSCC
2- T _ — J 1?-, _4-
25/75
50/50
0/100
60/40
70/30
10/90
10/90
50/50
90/10

ILOLP
Case 4a a
.30
• 75
.17
.82
.82
.27
.14
.74
.99

ILOLP
Case 4b b
.00
.04
.01
.12
.28
.02
.00
.04
".41 '
: c
-------
Table 21.   INCREMENTAL LOSS-OF-LOAD PROBABILITIES (ILOLP)
            FOR BEST CASE (5 ACTIVE MODULES/I SPARE; r = 0.9)
            LOAD FACTOR SENSITIVITY TEST

Region
1-ECAR
2 -ERGOT
3-MAAC
4 -MAIN
5-MARCA
6-NPCC
7-SERC
8-SPP
9-WSCC
a Load
b Load
Generation Mix Used
(% Base/% Inter.)
25/75
• 50/50
0/100
60/40
70/30
10/90
10/90
50/50
90/10
Factors: Base = 70%,
Factors: Base = 60%,
ILOLP
Case 3aa
' .00
.08
.01
.17
.34
.00
.00
.07
.53
Intermediate =
Intermediate =
ILOLP
Case 3b b
.00
.00
.00
.00
.03
- .00
.00
.00
.00
55%
45%
                                 102

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                      REFERENCES


Teknekron, Inc.,  The Integrated Investor and Municipal
      Output (Derived from "An Integrated Technology
      Assessment of Electric Utility Energy Systems,"
      Study for EPA, Contract No.  68-01-194),  EPA Reports
      ,PD 111 and PD 61M,  Dec. 4, 1977.

Federal Power Commission.  1970 National Power Survey,
      Washington:  Government Printing Office,1970,
      4 vols.

"1976 Annual Plant Design Survey," Power 1976 (November),
      pp. S.4 - S.7.

"1977 Annual Plant Design Survey," Power 1977 (November),
      pp. S.I - S.20.

"Design  Criteria for a Standard Coal-Fired Plant for Ten
      Western Utilities" -  Fuel Outlook, Electrical World,
      February 1,  1978,  p.  52.

Edison Electric  Institute, Prime Movers  Committee, Equip-
      ment Availability Task Force, EEI  Equipment Availabil-
      ity Summary  Pv.eport on Trends of Large Mature Fossil
      Units Categorized by Fuel and, in Commercial OperatTon
      Prior to January 1, 1971.  N.Y.. Oct. 1976.

Edison Electric  Institute, Prime Movers  Committee, Equipment
      Availability Task  Force,  Report on Equipment Avail-
      ability for  the Ten-Year  Period, 1965-1974. N.Y.,
      November 1975.41 pp.

Federal  Power Commission Bureau of Power Staff Report.
      Electric Generating Plant Availability.  May  1975.
      60 pp.

Radian  Corporation,  The  Energy  Requirements  for  Control-
      ing SO2 Emissions  from Coal-Fired  Steam/Electric
      Generators.Prepared  under Contract EPA-450/3-77-050a,
      December  1977.
                             103

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10.  Hitman Associates,  Inc.,  Electrical Power Supply and
          Demand Forecasts for the United States  through 2050.
          Prepared under Contract No.  EHSD 71-43  USEPA,  Office
          of Air Programs.  Columbia,  Maryland,  1972.   57 pp.
          (NTIS No. PB-209266).

11.  Lyndon B.  Johnson School  of Public Affairs,  the University
          of Texas at Austin.   Energy  in Texas,  Volume I;
          Electric-Power Generation.   Austin,  Texas,1976.
          116 pp.                 ~~

12.  Resource Planning Associates.  Energy Supply/Demand
          Alternatives for the Appalachian Region,  Executive
          Summary!CEQ Report EQ 4AC-022, Cambridge,  MASS.,
          1975.  78 pp.

13.  National Electric Reliability Council.   Fossil and
          Nuclear Fuel for Electric Utility Requirements and
          Constraints.1977-1986.Princeton,  New Jersey,
          1977.  26 pp.

14.  Letter from Ken Woodard,  USEPA,  to R. Dean Delleney,
          Radian Corporation,  Austin,  Texas,  June 15,  1977.

15.  Conn, N. (ed.).  Symposium on Scheduling and Billing of
          Bulk Power Transfers.   In:   Proceedings of the American
          Power Conference, Vol. 34,  Chicago,  Illinois,  April,
          1972, pp. 904-967.

16.  National Electric Reliability Council.   6th Annual Review
          of Overall Reliability and Adequacy of the North
          American Bulk Power  Systems!Princeton,  New Jersey,
          1976.28 pp.

17.  National Electric Reliability Council.   7th Annual Review
          of Overall Reliability and Adequacy of the North
          American Bulk Power  Systems.Princeton,  New Jersev,
          1977. 28 pp.

18.  Javetski,  J. W.,  "Central Engineers See Energy Conservation
          as Central to Sound  Engineering Economics,"  Power 1978
          (January), pp. 60-62.

19.  Fink, D. G.  (ed.)-   Standard Handbook  for Electrical
          Engineers, McGraw-Hill, New York, New  York,  1969,
          ppT 10-4.
                                104

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              APPENDIX A
CALCULATION OF INCREMENTAL LOSS-OF-LOAD
PROBABILITY FOR NEW COAL GENERATION IN
            A POWER SYSTEM
                  105

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                           APPENDIX A
     CALCULATION OF INCREMENTAL LOSS OF LOAD PROBABILITY FOR
              NEW COAL GENERATION IN" A POWER SYSTEM

          In this Appendix, the analysis which was used to  cal-
culate the incremental loss-of-load probability  for new  coal  in
each geographical region is presented.  An understanding of the
mathematics is not essential to understand the meaning of  the re-
sults presented in the text of the report.  The  analysis is pre-
sented,, however, for  completeness of  documentation and for the
benefit of those who  are interested.

          The discussion in the sections below is organized
as follows:

           (1)  calculation of the mean and standard deviation
               of capacity available at a given unit,  taking
               into account both boiler and scrubber down-time,

           (2)  calculation of loss-of-load probability for  a
               single unit, and

           (3)  calculation of loss-of-load probability for
               a  system of units among which demand within
                a geographical region is distributed.
                                106

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          CALCULATION OF MEAN AND  STANDARD DEVIATION
          OF AVAILABLE CAPACITY AT A PARTICULAR PLANT

          In this section, the calculation of the mean and
standard deviation of available capacity at a particular
unit are discussed.  The probabilities associated with scrubbers
will be discussed first,  then (briefly) the probabilities
associated with the boiler, and finally, the probabilities of
various levels of power availability for the scrubber-boiler
system.'

          Suppose there are exactly k scrubber modules and each
module has a probability r of being up at a given time .   The
values r = . 8 or .9 and k =.5 or 6 were considered in this study.

          Then, from the well-known binomial probability dis-
tribution,
          P (exactly i modules are up) = m r1  (1...0 •-r)k"i
LJ  is ,
where L  is , the binomial coefficient:
          M _ k:
          I il ~ IT(k
          But it has been assumed in this study that only five
modules can be used at any given time.  If there is a sixth,
it serves as a spare.  Thus, if we denote the probability that
i modules are capable of being used by p., 0 <_ i<_5, then when
    5,
and when  k= 6 ,
                              107

-------
          Pi " (i) r± (1-°-r)k"i

therefore, for five modules plus one spare module,  it  follows  that

                                     r6  (1.0_r)k-6
                     r5  (1.0-r)k-5+r6
          Each scrubber module can handle at most 2070 of the
total capacity.  Thus, when i scrubber modules  are  capable  of
being used, the plant can operate  at no  more than [jj 100%  of
total capacity.

          The probability functions for percent  of boiler
capacity available are discussed in Section  4.4.  See Tables
9 and 10.


          The probability functions for  the boiler and the
 scrubbers were then  combined as  follows :

          P  (0 capacity  can be  employed  } =   qQ  + PQ - PQ qQ

 where

           q   = probability 0% of the boiler  is  operational,  and

           P   = probability no scrubber modules  are  available.
                               108

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Moreover, inverse cumulative probabilities can also be computed

          P  (at least j% of capacity can be used) =

          P  (at least j% of boiler's capacity is available)•x

          P  (enough modules are available to handle at least
             J7o of the total capacity)

where     j = 20, 30, . .., 100.

          These inverse cumulative probabilities were calculated
because of computational convenience; the probability

          P  (at least j% of capacity is used)

is obtained by performing a single multiplication, given that the
basic probabilities for the availability of the boiler and the
scrubber individually are known.

          For the purposes of further calculations, however,  in-
verse cumulative probabilities cannot be used.  It is necessary,
therefore, to express the probabilities in the following form:

          o^ = P (X..^ % of capacity is available)

where     X. is a number between 0 and 100.

          This is discussed in detail below.

          The probabilities corresponding to intervals, such as
20 to 30% of the total capacity, can be obtained from the above:
                              109

-------
           P  (% of available capacity  in between 20  and 30)  =


                P (% is  at least 20)  - P (% is  at least 30)


The  following special case was  noted:


           P  (0 <% of capacity available <20)  -


           1.0 - P (0 capacity is available) -

           P  (at least 20% of capacity is available)


This case represents operation at levels usually requiring manual

control  of the unit's boiler/turbine/generator system.


           The result of the analysis  above, then, is a table of

 probabilities of the following  form:
   Probability
       o-z
Percent of
Total
Capacity
0
.1-19.9
20 -29 . 9
Proportion
of Total
Capacity
0
.001-. 199
.200-. 29 9
Midpoint of
Interval of
Proportions
X! - 0
x2 - .15*
'•x3 - '.25
                    90-99.9
                      100
.900-.999
   1.0
x10 =  .95

xn = 1.0
*Because of physical limits of the boiler/turbine/generator's
 speed and voltage regulation control systems, it is felt that
 running at very low percentages of capacity, such as 5%, is
 unlikely.  Thus, 0.15, rather than the interval midpoint, 0.10,
 was used for this case.
                               110

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          The mean and standard deviation of the proportion
of total capacity available were then computed as follows:


                 11
          mean = E   x.a.
                 i-l
                          11
          std. dev. =«   / I   x?a. - (mean)2
where a and x are defined by the table above.
                               Ill

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                 CALCULATION  OF LOSS-OF-LOAD
                PROBABILITY FOR A  SINGLE  UNIT

          In this  section,  the calculation of the  distribution
of available capacity minus power  demand  for a single unit  is  dis-
cussed.  From this  distribution,  the probability of not meeting
demand follows immediately.   The  basic probabilistic  technique
used is called convolution;  the mathematical solution requires
solving an  integral known as  the convolution integral.

          First, we assume that the distributions  for demand
and for available power are tabulated in terms  of  percent of
total power in steps of ten percent.  Thus, the following data
will be used:
   Percent of
Total Capacity (%)

       0
      10
      20
      30
      40
      50
      60
      70
      80
      90
      100
Probability of
   Demand
  Probability of
Power Availability
     PD2
     PD3
     PD*
     PD5
     PDS
     PD7
     PD8
     PD9
     PD10
       PA 2
       PA 3
       PA 4
       PA 5
       PA 7
       PA 8
       PA 9
       PA 10
                              112

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          The probability  of  available capacity is obtained
by using the analysis discussed in the preceeding section.
Although, as calculated, this probability function is not tabu-
lated in steps of ten percent, such a table can easily be approxi-
mated.  The probability  that  available capacity is 40 percent,
for example, can be  approximated  by

          P (357, < available  capacity < 45%)  =
               1/2 P (307,  < available capacity < 4070) +
               1/2 P (4070  < available capacity < 507»)

          The Latter quantity is obtained directly from the
results of the last  section.  A similar type of approximation
was made with respect to 'the demand curves, which are discussed
in Section 4.2.

          Now, we are interested  in  the characteristics of avail-
able capacity minus  power  demand, which we will call L.  It is
desired to compute the probability of different values of L.   We
will let X denote demand and  Y denote available capacity.  Then

          L = Y-X

          The random variable L, then, equals  a particular  value T
if Y equals a value YQ and X equals YQ-T, since

          L - Y-X = YQ - (YQ-T) = T

          To compute the probability that L equals T, then,
we will sum the probabilities of occurrence of the different
ways L can equal T.   Consider the case L = 80, for example.
The following is a complete list of ways this can occur, given
that X and Y are tabulated in steps of 10:
                               113

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 (1) X=0 and Y=80, which has probability  (PDi)(PAg) ;
 (2) X-lO and Y-90,'which has probability  (PD2)(PAi0); and
 (3) X-20 and Y=100, which has probability  (PD3)(PAn).

 The probability that  L=80,  then, is

           (PDOCPAg) +  (PD2)(PA10) +  (PDaXPAn).

           In general, the probability that L  equals  some value
 T  is  calculated from  the approximation of the convolution
 integral as follows:

           F(L-T)  = z[P(Y=Yo) - P(X=YQ-T)]
where the sum is over the appropriate tabulated values of
Yo.  The loss-of-load probability, P(L
-------
              CALCULATION OF LOSS-OF-LOAD PROBABILITY
                   FOR A SYSTEM OF POWER PLANTS

          In this section, the calculation of the  loss-of-load
probability for a system of generating units within  a  geographical
region is discussed.  It is assumed that demand is distributed
among all plants in the system.  These calculations  were used to
determine the incremental loss-of-load probability (ILOLP)  for
only new coal units.

          The demand probability functions for base  and inter-
mediate units are discussed in Section 4.2.  The mean p and
standard deviation cr of proportion of capacity demanded at a
particular  site are computed as follows:
           a =   il Cj B± -(U)
where
           C^ =  i   value of proportion of total capacity, and
           B^ -  probability that that amount of capacity will
                be required to meet demand.

           In the . manner indicated above,  the  following means
 and standard deviations were  computed:
                               115

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                                          Standard
                           Mean           Deviation
Base Units -                 u-g
Intermediate Units          u-,.
          To convert the mean and standard deviation from
proportion of capacity to capacity in megawatts (MWe) , the
following calculations are needed.  The same equations apply
for demand as for available capacity.

          Suppose a plant has capacity C.  In the calculations,
one value of C was used to represent plants with capacity 390
to 599 MWe,  and another value was used to represent plants, with
600 MWe  or  above. - The two specific values vary with region.
If the mean and standard deviation (of either demand or avail-
able power)  in terms of proportion of. capacity are u and" a,
respectively, then the mean and standard deviation in mw are
GU and Ca.

          Now, the mean of a sum is  the sum of the means.
Thus, if there are N plants, each with mean available capacity
GU, the mean for the N plants combined is

          N
          E Cu - ITCu
         i-1

          The variance  (standard deviation squared) of a sum
is the sum of the variances .  The standard deviation of the
N plants is, therefore,
          N
          I  (Ca)2  = Ca  /N
          -1            v
i-1
                              lie

-------
          The above relationships,  then,  can  be used to find
the mean and standard  deviation  of  the  total  available capacity
or demand for a set of.power plants with  the  same  total capacity
and demand  curves.  Suppose the following generation mix exists
for a region of the country:


          no., of  small (390 -  599 MWe)  base units  = NSB
          no. of  large. (600 MWe or over)  base units = NLB
          no. of  small intermediate units = NSI
          no. of  large intermediate units = NLI
          Then  if  Cg  and C^  are  the  average capacities for the
small and large units,  respectively,  the following are the means
and standard deviations  for  the  different classes of units.

                    Power Demand Statistics
                                                standard
                                  mean          deviation
large base units             £_   = c_ (NLB) M,,   STW - C er
                             ijJj    Li       o    LoJ    L, B
small base units            X-, -  CL(NSB)un    SeT}
                             ao    a       o     SB
large intermediate units    5L T -  C. (NLI)uT    S,
                                               JLI    C^aT

small intermediate units    JL    C<,(NSI)nT    SCT  =  CvaT
                             "•*•    "      i    Oi.    XI

          The mean XQ and standard deviation SD  for  total  demand
on the system, then, can be computed as follows:
          AD ~ *LB   ^B + ^1 + XSI





                                117

-------
          Technically, if the random demands being added are
correlated, the variance of the sum is the sum of the variances
p lus a set of covariance terms.  It is clear, moreover,  that
the demands at two power plants in the same region are positively
correlated.  Both demands would reflect the same general type
of diurnal cycle, and thus, for example, a  cold  front could
increase  demand throughout the region.

          An investigation of correlations among demands at
different plants is beyond the scope of this study.  It is evi-
dent, however, that inclusion of positive convariarice terms
would increase the value of S^.  The loss -of -load probabilities
which are reported in the text, and which are discussed below,
are influenced somewhat toward .5 due to the omission of the
covariance terms.  While it is believed that the resulting
 error is  not excessive, further study of the effects of demand
correlations would be beneficial.

          For a  given case, all units in a  region were assumed
to have the  same number of scrubber modules  (5 or 6) and the
same value of r  ( . 8 or  . 9) .  The variable r  is defined earlier
in this Appendix to be  the probability that  a given  scrubber
module is up.  For a  given case, then, suppose the following
statistics regarding  proportion of total capacity which is
available have been computed:
                                              standard
                             mean             deviation
           small units
           large units
           Then  the mean .and  standard  deviation  of  total power
 available  in MWe for the different classes of  plants  can -be
 computed as  follows:
                              118

-------
                  Power Availability Statistics
                                                  standard
                               mean               deviation'
 large  base  units
 small base  units                      UAS
 large  intermediate  units  XAT _-
                           ALI
 small  intermediate units  X^-CgCNSI) u^     SASI=GSCTAS
          The mean XA  and  standard  deviation  S.  of  power avail-
able for the system, then,  can be computed  as follows:
          XA ~ XALB + XASB + XALI + XASI
                  SALB + SASB + SlLI
          We are interested in the random properties of  the
available power minus the power demanded.  This difference L
has the mean value
             ' XA -
and the standard deviation
          The probability that demand will not be met is the
probability that L is less than zero.  The next question to
                             119

-------
address, then, is how to compute that probability.

          Each region considered will have at leat 40, and, in
most cases close to 100 new coal units or more, and L is the
sum of

          (1) the power available at each of the units, and

          (2) the (negatives of the) power demanded at each of
              the units.

          Thus, L is the sum of approximately 200 terms or more.
Since sums of large numbers of random variables are generally
very nearly normally distributed, it is reasonable to assume that
L is normally distributed.  (The Central Limit Theorem in
statistics is a rigorous statement of the normality property of
certain sums of random variables.)

          The probability that L is less than zero,  then,  can
be expressed as follows:
           P(L<0)  = P /L  -  X.   <  -X, V. P  Z  <-X,
                     I   	ii    	L, |    1     L,
                         ST        S,
where Z is a normally  distributed random variable  with mean zero
and variance one.  The  desired probabilit}?-,  then can be found by
standard methods.  For new  coal units  only,  this probability,
expressed as ILOLP,  is  given by region and by scrubber con-
figuration in Appendix C.
                               120

-------
            APPENDIX B
ESTIMATED LOAD FACTOR CALCULATIONS
            BY REGION
                121

-------
                        REGION 1 - ECAR
Unit
Type
Expected Total
Capacity MWe
Estimated Load
  Factor
Old*

Pre-1986i
  Coal
  Oil
  Nuclear

Post-1985-1-
  Coal
    0-390 MWe
    390-599 MWe
    600+ MWe

Nuclear

Other*


Regional Total
    36,810
    30,122
       723
    18,034
        60.
     1,990
   111,200

    70,254

    18,357


   287,550
                                                       67%
     67%
     67%
     70%
     50%
     70%

     70%

     33%


     67%
 Conclusions  -  100% base                                    .
 Used         -  90% base/10%  intermediate  to  reflect  uncertainties
                   in load

 ^Estimated  from 1970 NPS
 tEstimated  from Teknekran
                                122

-------
                        REGION 2 - ERGOT


Unit                     Expected Total        _   Estimated Load
Type                     Capacity MWe          '       Factor

Old*                         12,038                    57%

Pre-1986t
  Coal                       -7,798                    577,
  Gas (/Oil)                  1,718                    577,
  Nuclear                     4,800                    707,

Post-1985t
  Coal
    0-390 MWe                   990                   - 57%
    390-599 MWe               3,679                  "
    600+ MWe                 62,140
                                                      j
  Nuclear                     8,500                     707,
Region Total                 93,163                     577,

Conclusions - 100% intermediate
Used        - 10% base/90%  intermediate  to reflect uncertainties
               in nuclear


^Estimated from 1970 NFS
tEstimated from Teknekron
                                123

-------
Unit
Type

Old*

Pre-1986t
  Coal
  Oil
  Nucleart

Post-1985t
  Coal
    600+ MWe
  Nuclear

Other*
 REGION 3 - MAAC

Expected Total
Capacity MWe

     22,590
      2,SOOt-
      3,020t
     15,923
     32,400
     32,050

     12,592
Region Total                 121,075

Conclusion  -  10% base/90%  intermediate
Estimated Load
    Factor

    62%
    55%*
    55%*
    70%
    57.8%
    7DT~

    33%


    62%
*Estimated  from 1970  NFS
tEstimated  from Teknekron
                                 124

-------
                         REGION 4 - MAIN

Unit                    Expected Total            Estimated Load
Type                    Capacity MWe                  Factor

Old*                         27,536                    61%

Pre-1986f
  Coal                        8,752 •                   61%
  Oil                         2,755                    61%
  Nuclear                    11,576                    70%

Post-1985t
  Coal
    0-390 MWe                   350
    390-599 MWe                 550
    600+ MWE                 49 , 200
  Nuclear                     9,350

Other* (mostly peakers)      10,886


Region Total                120,955

Conclusion - 70% base/30% intermediate
^Estimated from 1970 NFS
tEstimated from Teknekron
                                 125

-------
                       REGION 5 - MARCA

Unit               •       Expected Total          Estimated Load
Type                      Capacity MWe                Factor

Old*                         14,529                    61%

Pre-1986t
  Coal
    0-390 MWe                   948                    61.4
    390-599 MWe               5,109                    62%**
    600+ MWe                  4,885                    65%**

Post-1985t
  Coal
    0-390 MWe                 1,050                    61%
    390-599 MWe                 500
    600+ MWe                 24,000
  Nuclear                     2,336                    70%

Other* (peakers /pumped
        storage)              5,929                    30%

Region Total                 59,286                    61%

Conclusion - 70% base/ 30% intermediate
*Estimated from 1970 NPS
tEstimated from Teknekron
**Reflects large base-load Western coal units
                               126

-------
                         REGION 6 - NPCC

Unit                    Expected Total            Estimated Load
Type      '              Capacity MWe                  Factor

Old*                         20,933                    61%

Pre-1986t-
  Coal
    0-390 MWe                    32 (probable peaker/
                                     cycling)          50%
    600+ MWe                  2,246                    61%
  Oil                         4,721                    61%
  Nuclear         "           10,899                    70%

Post-1985t
  Coal
    0-390 MWe                   400
    390-599 MWe                 400
    600+ MWe                 27,850
  Nuclear                    59,800

Other*  (mostly hydro/
        pumped storage)      40,194                    50%**
 -'Estimated from  1970 NFS
 tEstimated from  Teknekron
 **Reflects base-load hydro
Region Total           .     167,475                    61%

Conclusion -  100%  intermediate
                               127

-------
Unit
Type

Old*

Pre-1986t
  Coal
  Oil
  Nuclear

Post-1985t
  Coal
    0-390 MWe
    390-599 MWe
    600+ MWe
  Nuclear

Other*
 REGION 7 - SERC

Expected Total
Capacity MWe

      30,640
      12,862
       4,659
      27,946
       2,789
       2,273
      76,209
     146,361

      12,656
Estimated Load
    Factor

     65%
     657o
     657=
     7070
Region Total                 316,-395

Conclusion  -  307o base/7070  intermediate
*Estimated  from 1970  NFS
tEstimated  from Teknekron
                                12 3

-------
Unit
Type

Old*

Pre-1986t .
  Coal
  Oil
  Nuclear

Post-1985t
  Coal
    0-390 MWe
    390-599 MWe
    600-1- MWe
  Nuclear

Other* (hydro/pumped
        storage)

Region Total
Conclusion - 100% intermediate
REGION 8 - SPP

Expected Total
Capacity MWe

    17,712
    17,097
       225
    11,774
     1,975
     2,068
    68,820
    19,150
Estimated Load
	Factor

     58%
     58%
     58%
     70%
                              40%

                             •58%
^Estimated from 1970 NPS
tEstimated from Teknekron
                              129

-------
Unit
Type

Old*

Pre-1986t
  Coal
  Oil
  Nuclear

Post-1985t
  Coal
    0-390 MWe
    390-599 MWe
    6004- MWe
  Nuclear

Other*  (hydro)
Region Total
REGION 9 - WSCC

Expected Total
Capacity MWe

    48,585
    27,985
       309
    18,770
     3,579
     3,900
    66,700
    98,626

   132,224
    400,678
Estimated Load
    Factor

     63%
     637.
     63%
     707.
     637.
     75.77.

     707.

     507.**
                                                        637.
Conclusion -  1007. base                               ...
Estimated  -  907. base/107, intermediate due to uncertainties in
                  hydro
 *Estimatect from 1970 NFS
 tEstimated from Teknekron
 **Reflects base-load hydro
                                130

-------
                   APPENDIX C
INCREMENTAL LOSS-OF-LOAD PROBABILITIES FOR NEW COAL
    ONLY BY REGION IN 2000 - TEST CASE RESULTS
                       131

-------
                           APPENDIX C
        INCREMENTAL LOSS-OF-LOAD PROBABILITIES FOR NEW COAL
            ONLY BY REGION IN 2000 - TEST CASE RESULTS

          This Appendix presents the incremental loss-of-load
probabilities (ILOLP) for new coal only by region for different
scrubber configurations and for different module availabilities.
Also, the base case (with no scrubbers) is given for each region
as a means of comparing the incremental ability of new coal units
in each region to meet demands placed upon them with and without
FGD.
                               132

-------
           % of New Coal
           Capacity Used
Scrubber
Region in Base Service
1-ECAR ' 90




2 -ERGOT 10




3-MAAC 10




4-MAIN 70




5-MAE.CA . 70




5-NPCC 0




Configuration
5/0*
5/0
5/1
5/1
0
5/0
5/0
5/1
5/1
0
5/0
5/0
5/1
5/1
0
5/0
5/0
5/1
5/1
0
5/0
5/0
5/1
5/1
0
5/0
5/0
5/1
5/1
0
 Availability
of Each Module
                                             .8
                                             .9
                                             .8
                                             .9

                                             .8
                                             .9
                                             ,8
                                             ,9

                                             .8
                                             ,9
                                             ,8
                                             ,9

                                             ,8
                                             ,9
                                             ,8
                                             ,9

                                             .8
                                             ,9
                                             ,8
                                             ,9

                                             ,8
                                             ,9
                                             ,8
                                             .'9
Incremental Loss-of-
  Load Probability
(ILOLP)-New Coal Only
      in 2000
                               .999
                               .885
                               .874
                               .535
                               .392
                               .165
                               .015
                               .014
                               .0022
                               .0011
                               .238
                               .0608
                               .0593
                               ,0215
                               ,0146
                               ,900
                               .528
                               ,516
                               ,267
                               .198
                               ,822
                               ,528
                               ,519
                               ,338
                               .282
                               ,186
                               ,0493
                               ,0483
                               ,0185
                               ,0129
*(No.  active scrubber modulesAspares) - one scrubber of the given configuration
 per each new coal generating unit.
                                 123

-------
Region
 % of New Coal
 Capacity Used
in Base Service
7-SERC
        30
8-SPP
 9-WSCC
         90
   Scrubber
Configuration
    5/0
    5/0
    5/1
    5/1
    0
    5/0
    5/0
    5/1
   '5/1
    0
    5/0
    5/0
    5/1
    5/1
    0
                                      Availability
                                     of  Each Module
 8
,9
.8
.9

.8
..9
.8
.9

.8
.9
.8
.9
         Incremental Loss-of-
          Load Probability
         (ILOLP)-New Coal Only
               in 2000  	
,407
.0562
.0534
.0091
.0045
.0795
.0045
.0043
.00048
.00021
.994
,833
.822
.534
.419
                                   134

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BIBLIOGRAPHIC DATA 1. Report No. 2.
SHEET E-PA-450 73-78-002
4. Title and Subtitle
The Ability of Electric Utilities with FGD to Meet
Energy Demands
7. Authors) Dr. H. J. Williamson, Dr. J. B.
Dr. E. P. Hamilton III, Riggs ^ Miss T. j. Andersen
9. Performing Organization Name and Address
Radian Corporation
8500 Shoal Creek Boulevard
P. 0. Box 9948
Austin, Texas 78766
12. Sponsoring Organization Name and Address
Environmental Protection Agency
Office of Air and Waste Management
Office of Air Quality Planning and Standards
Research Triangle Park, North Carolina 27711
3. Recipient's Accession No.
5. Report Date
January, 1978
6.
8. Performing Organization Rept.
No-78-200-187-25-05
10. Project/Task/Work Unit No.
200-187-25
11. Contract/Grant No.
68-02-2608
13. Type of Report & Period
Covered
Final
14.
15. Supplementary Notes
16. Abstracts
      Impacts of FGD on U.S.  electric reliability and adequacy-through  2000  were
 evaluated.  C&al-fired-units on-line before 1986 and between  1985  and  2000  were con-
 sidered for the nine National Electric Reliability Council  (NERC)  regions.   Each
 region's ability to meet power demand (with reasonable and  typical reserves)  as a
 power pool with and without  FGD was assessed.  Different FGD  module configurations
 and assumed availabilities were considered.  Power interchange  capabilities which
 might be used during FGD-induced outages were also evaluated, as were  reserves.
      It was concluded that a revised NSPS would have little effect on  system
 adequacy before 1985.  By 2000, however, the NSPS would have  a  significant  impact on
 reliability and adequacy, requiring large amounts of additional generation  to offset
 the effects of FGD.  Sensitivity of these results was analyzed  and mitigating
 measures were determined.
17. Key Words and Document Analysis.  17a. Descriptors
 Electric Power Generation  Reliability
 Stack Gases-Desulfurization  Processes
 Outages-Electric Power Failures
 Steam Electric Power Generation
 Air Pollution Legislation-Regulations
 Air Pollution Legislation-Cost Analysis
17b. Identifiers/Open-Ended Terms
 EPA-450/3-78-002
 Electric Utilities
 Air Pollution Legislation
17e. COSATI Fieid Group  1QA
Release unlimited, additional copies from Radian
for $7.50.
19. iecuruy
Report'
UXC1
20. Security
Page
'-•NC:
Class ' i his
-A5SIFIED
i-.ass •' i nis
-ASSlFtED
21.
22.
No. of Pa?es
147
Pries
1

                                                THIS FORM MAY SE REPRODUCED
                                                                           •JSCOMM-OC

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