1SystemDescription
The24bussystem[1]isillustratedinFigure1.Theslackbusofthesystemisnode13.
Figure1:24-buspowersystem–IEEEOneAreaRTS-96
1
1.1UnitData
Tables1-3presentthegeneratingunits’dataofthepowersystem.Thegeneratingunitsofferasingleblockofenergy,upanddownreservecapacity.Table1providesthetechnicaldataofgeneratingunits,Table2categorizestheunitsindifferenttypesandTable3providesthecostsandinitialstateofthegeneratingunitsatthebeginningoftheschedulinghorizon.Thedataisbasedon[1],[2],[3].
Table1:TechnicalDataofGeneratingUnitsPmaxPminR+R−RURDMWMWMWMWMW/minMW/min40040015215215515531035035059160300
10010030.430.454.2554.25108.514075206.8512300
0040403030604070180600
0040403030604070180600
6.676.672233347315
6.676.672233347315
UnitUnit18Unit21Unit1Unit2Unit15bUnit16Unit23aUnit23bUnit7Unit13Unit15aUnit22
Node182112151623237131522
UTh1188888881240
DTh1144888881020
Table2:UnitTypeUnitTypeUnit(s)NuclearCoal/StreamCoal/3StreamOil/StreamHydro
182112151623a
23b7131522
Table3:CostsandInitialStateofGeneratingUnitsUnitCCuCdCsuPiniUini
$/MWh$/MW$/MW$MW0/1Unit18
Unit21Unit1Unit2Unit15bUnit16Unit23aUnit23bUnit7Unit13Unit15aUnit22
5.475.4713.3213.3210.5210.5210.5210.8920.7020.9326.110.00
0015151616171610870
001414141416149750
001430.41430.4312312624229817253056.74370
320320121.6121.60124248280000240
111101110001
Tinih50162222-2101050-2-1-124
2
ApositiveTinishowsthetimeperiodsthatthegeneratingunithasbeenonlineatthebeginningofschedulinghorizon.Anegativeoneshowsthetimeperiodsthatthegeneratingunithasbeenofflineatthebeginningofschedulinghorizon.
1.2LoadData
InFigure2,theloadprofileisillustrated.Table4providesthetotalsystemdemandperhourandTable5presentsthenodelocationoftheloads,aswellasloadateachnodeasapercentageofthetotalsystemdemand.Theloaddataisbasedon[2].
System Demand30002500System Demand [MW]2000150010005000510Hours1520Figure2:SystemDemandProfile
Hour123456789101112
Table4:LoadProfileSystemDemandHourSystemDemand
MWMW
1598.2521502.8341431.2701407.4161407.4161431.2701765.2332051.4872266.1782290.0322290.0322266.178
131415161718192021222324
2266.1782266.1782218.4692218.4692361.5962385.4502385.4502290.0322170.7601979.9241741.3791502.834
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Table5:NodeLocationandDistributionoftheTotalSystemDemandLoadNode%ofsystemloadLoadNode%ofsystemloadLoadLoadLoadLoadLoadLoadLoadLoadLoad
123456789
123456789
3.83.46.32.62.54.84.466.1
LoadLoadLoadLoadLoadLoadLoadLoad
1013141516181920
1013141516181920
6.89.36.811.13.511.76.44.5
1.3TransmissionLines
ThetransmissionlinesdataisgiveninTable6.Thelinesarecharacterizedbythenodesthatareconnected,aswellasthereactanceandthecapacityofeachline.Thedataisbasedon[2].
Table6:ReactanceandCapacityofTransmissionLines
ToReactanceCapacityFromToReactanceCapacity
p.u.MVAp.u.MVA2
354692491010891011121112
0.01460.22530.09070.13560.2050.12710.0840.1110.0940.06420.06520.17620.17620.0840.0840.0840.084
175175350175175175400175350175350175175400400400400
1111121213141515151616171718192021
1314132323161621241719182221202322
0.04880.04260.04880.09850.08840.05940.01720.02490.05290.02630.02340.01430.10690.01320.02030.01120.0692
5005005005005005005001000500500500500500100010001000500
From1112233456788991010
2ImplementationIncludingWindPowerProduction
Itisrecommendedtoincludesixwindfarmsatdifferentlocationsthroughoutthegrid.Itisproposedtolocatethewindfarmsat3,5,7,16,21and23nodes.Inthiscase,thecapacityonthetransmissionlinesconnectingthenodepairs(15,21),(14,16)and(13,23)isreducedto400MW,250MWand250MW,respectively.Thisisdoneinordertointroducebottlenecksinthetransmissionsystem.
4
References
[1]C.Grigg,P.Wong,P.Albrecht,R.Allan,M.Bhavaraju,R.Billinton,Q.Chen,C.Fong,S.
Haddad,S.Kuruganty,etal.TheIEEEReliabilityTestSystem1996.Areportpreparedbythereliabilitytestsystemtaskforceoftheapplicationofprobabilitymethodssubcommittee.IEEETransactionsonPowerSystems,14(3):1010-1020,1999.[2]A.J.Conejo,M.Carrion,J.M.Morales.DecisionMakingunderUncertaintyinElectricity
Markets.SpringerUS,2010.[3]F.Bouffard,F.D.Galiana,A.J.Conejo.Market-ClearingwithStochasticSecurityPartII:
CaseStudies.IEEETransactionsonPowerSystems,20(4):1827-1835,2005.
Nomenclature
CCdCsuCuDTPiniPmaxPminR+R−RDRUTiniUiniUT
ProductioncostDownwardreservecostStartupcostUpwardreservecost
MinimumdowntimeofeachgeneratingunitPoweroutputofeachgeneratingunitattime0MaximumoutputpowerofeachgeneratingunitMinimumoutputpowerofeachgeneratingunit
MaximumreservecapacityofupregulationofeachgeneratingunitMinimumreservecapacityofupregulationofeachgeneratingunitRampdownrateofeachgeneratingunitRampuprateofeachgeneratingunit
Numberofhoursofwhichthegeneratingunitwasin/outatthebeginningofplanninghorizonStatingwhethertheunitisonline/offlineattime0Minimumuptimeofeachgeneratingunit
5
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