simulation colombian firm energy market

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    1

    Simulation of the Colombian

    Firm Energy Market

    Peter Cramton

    (joint with Steven Stoft and Jeffrey Wet!1" #e$ember %&&'

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    %

    Puroe

    )  *e ulier rik

    ) Conider variation of market deign

    ) Evaluate alternative au$tion arameter

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    +

    Simulation of market

    ) Model 1 , -itori$al ri$e

     , Simulated unit

    ) Model % , -itori$al ri$e and outut

     , *$tual unit

    ) Model + , Full imulation of au$tion and invetment

    de$iion

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    .

    Model +

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    /

    Model +Full imulation of au$tion and invetment

    ) Can ak new 0uetion

     , -ow doe a$0uired firm energy differ fromfirm energy target

     , What i the ima$t of in$reaing the loe ofthe demand $urve around the target

     , What i the ima$t of demand reone

     , What i the ima$t of higher $ar$ity ri$e

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    '

    2ey feature of Model +

    ) 3hree roje$t tye , baeload4 eaker4 hydro

    ) Stationarity

     , 5andom growth with mean +67year  , Proje$t i8e $ale u with growth , *ll amount in real 9S: , S$ar$ity ri$e ; :1&&7MWh

    ) #uration , /& %&

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    =

    E>iting reour$e

    ?ew reour$e drawn fromditribution of e>iting reour$e

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    "

    5eour$e $hara$teriti$

    ) -ourly availability not modeled for eaker andbaeload

    ) -ydro energy outut from @M imulation

    ) Interpreting the numbers , Exact values, such as FE price, no important  , Rather focus on changes in values and variation in

    values

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    A

    Suly and ri$e determinationin ot energy market

    ) 9nit bid marginal $ot(oortunity $ot for hydro!

    ) #iat$h i effi$ient in ea$h hour 

    ) -ydro oortunity $ot $al$ulated on amonthly bai

    ) #emand reone at ri$e above :1&&

     , Contant elati$ity of

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    1&

    Monthly hydro oortunity $ot

    ShortageB MC-  MCPEnergy ri$e ; MCD or MCP or MC-

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    11

    Monthly hydro oortunity $ot

    Hydro Opportunity Cost, MC -4

    in a somewhat dry month

    SupplyMC -

    EB

    EP

    EH

    MC P

    MC D

    Demand

    Somewhat dryB MC- ; MCPEnergy ri$e ; MCD or MCP

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    1%

    Monthly hydro oortunity $ot

    Hydro Opportunity Cost, MC -4

    in a normal month

    SupplyMC -

    EB

    EP

    EH

    MC P

    MC D

    Demand

    ?ormal waterB MC- ; MCDEnergy ri$e ; MCD in all hour

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    1+

    Monthly hydro oortunity $ot

    Hydro Opportunity Cost,MC 

    -4

    in a wet month

    SupplyMC -

    EB

    EP

    EH

    MC P

    MC D

    Demand

    ot of waterB MC- ; :&

    Energy ri$e ; & in all hour

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    1.

    bligation

    ) -ydro ell ma>imum firm energyreolution &=1

    ) Daeload and eaker ell long

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    1/

    Didding in firm energy au$tion

    ) Did are $ometitive , 9nit on margin e>e$t to break even

    ) 9nitH rofit deend on reour$e mi>

    ) Cal$ulate bid a a fun$tion of reour$e mi>

    ) #etermine winning tye a a fun$tion ofmi>

     , *dd unit in e0uen$e until Suly 3arget , 5eje$t lat unit if total $ot i le with

    Suly I 3arget

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    1'

    Model outut

    ) Ea$h imulation year4 determine entry

    ) E>amine e0uen$e of entry4 urlu over target

    ) Ea$h imulation year4 $omute $omonent of

    rofit for ea$h unit) 9nit aigned to one of ten $omanie to

    reerve e>iting market tru$ture

    ) E>amine ditribution of annual rofit , n aggregate (indutry rofit!

     , Dy unit tye

     , Dy $omany

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    1=

    S$enario

    ) Ea$h $enario take about %B/ day to runthrough 1&&& year (/& %&

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    1"

    S$enario %KChange demand $urve

    Pri$e of firm energy

    Firm energy3arget

    C?E

    % C?E

    C?E ; Cot of ?ew Entry (marginal unit!

    &

    ½ C?E

    Pri$e $eiling

    Pri$e floor 

    ± .6

    oad not fully hedged

    ± %6

    Stee FE demand$urve

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    1A

    S$enario +K -igh demand reone

    -ighdemandreone

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    %&

    Mot rofitable tye given mi>

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    %1

    ?ew entry by year and unit tye(ben$hmark!

    0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500 7000

    SUM(FE)

    1

    2

    3

    4

    5

    6

    7

    8

    910

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    21

    22

    23

    24

    25

    unittype

    B

    H

    P

    yearadded

    20

    19

    18

    17

    16

    15

    14

    13

    12

    11

    10

    9

    8

    7

    6

    5

    4

    3

    2

    1

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    %%

    ?umber of entrie by year and tye

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    %+

    ?umber of entrie er year 

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    %.

    Firm energy and outut hare

    ) Mi> of lant doe not vary with

     , Steene of FE demand $urve , #emand reone

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    %/

    Pri$e4 $ar$ity4 and uly

    ) Steeer FE demand $urve reult in , Lreater urlu above target

     , Fewer $ar$ity hour) -igher demand reone imlie mu$h

    lower ot ri$e in $ar$ity hour

    E l d FE i

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    %'

    E>$e uly and FE ri$e

    S it h d it i

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    %=

    S$ar$ity hour and $ar$ity ri$e

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    %"

    Fre0uen$y of

    $ar$ity month in year 

    Firm energ ri$e

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    %A

    Firm energy ri$e1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

       8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8

       B  e  n  c   h  m  a  r   k

       S   t  e  e  p   F   E     e  m  a  n   

    0!0

    0!5

    1!0

    1!5

    2!0

    2!5

    3!0

    3!5

    4!0

       "   #   $   (   F   %  r  m   E  n  e  r  &  '   P  r   %  c  e   )

    0!0

    0!5

    1!0

    1!5

    2!0

    2!5

    3!0

    3!5

    4!0

       "   #   $   (   F   %  r  m   E  n  e

      r  &  '   P  r   %  c  e   )

    "era&e * F% rm Ener&' Pr%ce *r each 'ear +rken ,n +' - %m -! .a-e! /he %e, %- tere n .a-e ,h%ch keep- Benchmark an Steep FE eman!

    $$aional dro $aued by large lum followed by year of urluB *doted reolution avoid thi roblemB

    FE ri$e in urlu year ; FE ri$e in lat u$$eful au$tionB

    E i

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    +&

    Energy ri$e1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

       8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8

       B  e  n  c   h  m

      a  r   k

       S   t  e  e  p   F   E     e  m  a  n   

       H   %  &   h     e  m  a  n     r  e  -  p    n  -  e

    0

    100

    200

    300

    400

       "   #   $   (   E  n  e  r  &

      '   P  r   %  c  e   )

    0

    100

    200

    300

    400

       "   #   $   (   E  n  e  r  &  '   P  r   %  c  e   )

    0

    100

    200

    300

    400

       "   #   $   (   E  n  e  r  &  '   P  r   %  c  e   )

    "era&e * Ener&' Pr%ce *r each 'ear +rken ,n +' -%m -! .a-e!

    -igh demand reone greatly redu$e ike

    P fit MWh f fi

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    +1

    Profit er MWh of firm energy1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

       8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8

       B  e  n  c   h  m  a

      r   k

       S   t  e  e  p   F   E     e  m  a  n   

       H   %  &   h     e  m  a  n     r  e  -  p    n  -  e

    5

    0

    5

    10

       S   U   M   (  p  r     *

       %   t   )

    5

    0

    5

    10

       S   U   M   (  p  r     *   %   t   )

    5

    0

    5

    10

       S   U   M   (  p  r     *   %   t   )

    Sm * prt *r each 'ear +rken ,n +' -%m -! .a-e!

    #itribution of annual rofit

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    +%

    #itribution of annual rofiter MWh of firm energy

    ) Did do not take lum into a$$ount , Surlue $aue dro in firm energy ri$e and lower

    energy rent , -en$e lightly negative rofit

    ) -edge dramati$ally redu$e rik

    )Energy rent rimary our$e of rik

    #itribution of annual rofit

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    ++

    #itribution of annual rofiter MWh of firm energy

    ) ma$t of higher $ar$ity ri$e

     , Profit ditribution hift toward no hedge $ae) arge in$reae in energy rent rik

    ) Small de$reae in hedge ayment rik

    ) arge in$reae in rofit rik overall

    P fit b it t (b h k!

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    +.

    Profit by unit tye (ben$hmark!1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

          4      1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6 4

          1      0

          1      6

          B

          H

          P

    10

    5

    0

    5

    10

    15

    20

          S      U      M      (    p    r    

          *      %     t      )

    10

    5

    0

    5

    10

    15

    20

          S      U      M      (    p    r    

          *      %     t      )

    10

    5

    0

    5

    10

    15

    20

          S      U      M      (    p    r    

          *      %     t      )

    Sm )* pr)t *)r each 'ear +r)ken ),n +' -%m (-! n%tt'pe *)r Benchmark! /he (%e, %- tere )n -%m ,h%ch keep- 20 mem+er-!

    Peaker i lowet rikB

    Daeload i highet rikB

    -ydro ha moderate rikB

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    +/

     *nnual rofit by unit tye

    Profit by $omany (ben$hmark!

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    +'

    Profit by $omany (ben$hmark!1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

    6 16 6 16 6 16 6 16 6 16 6 16 6 16 6 16 6 16 6 16 6 17 6 16 6 16 6 16 6 16 6 16 6 16 6 16 6 16 6 16

       1

       2

       3

       4

       5

       6

       7

       8

       9

       1   0

    20

    0

    20

    40

       S   U   M   (  p  r     *   %   t   )

    20

    0

    20

    40

       S   U

       M   (  p  r     *   %   t   )

    20

    0

    20

    40

       S   U   M   (  p  r     *   %   t   )

    20

    0

    20

    40

       S   U   M   (  p  r     *   %   t   )

    20

    0

    20

    40

       S   U   M   (  p  r  

       *   %   t   )

    20

    0

    20

    40

       S   U   M   (  p  r     *   %   t   )

    20

    0

    20

    40

       S   U   M   (  p  r     *   %   t   )

    20

    0

    20

    40

       S   U   M   (  p  r     *   %   t   )

    20

    0

    20

    40

       S   U   M   (  p  r     *   %   t   )

    20

    0

    20

    40

       S   U   M   (  p  r     *   %   t   )

    Sm* prt *r each 'ear +rken ,n +' -%m -! ,ner% * r Benchmark! /he %e, %- tere n - %m ,h%ch keep- 20 mem+er-!

    P fit b (b h k!

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    +=

    Profit by $omany (ben$hmark!

    P fit b ( t FE d d!

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    +"

    Profit by $omany (tee FE demand!

    P fit b (hi h d d !

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    +A

    Profit by $omany (high demand reone!

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    .&

    Con$luion

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    Con$luion

    ) -edge remarkably u$$eful in redu$ing rik , ndutry rik redu$ed by a fa$tor of =

     , Comany rik redu$ed by a fa$tor of .B/ in ben$hmark

    ) -igher $ar$ity ri$e in$reae ulier rik) um $an $aue multi