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276Vol.27No.620036PowerSystemTechnologyJun.20031000-3673200306-0013-06TM734A1,1,212300092230022UNITCOMMITMENTPROBLEMUNDERTHECONDITIONOFELECTRICITYMARKETCONSIDERINGSYSTEMRELIABILITYANDBENEFITFROMSPINNINGRESERVEYANGZi-jun1,DINGMing1,SUNXin21.SchoolofElectricalEngineering,HefeiUniversityofTechnology,Hefei230009,AnhuiProvince,China;2.AnhuiProvincialElectricPowerCo.,Hefei230022,AnhuiProvince,ChinaABSTRACT:Throughthestudyonunitcommitmentproblemundertheconditionofelectricitymarket,themodelandmethodforunitcommitmentconsideringthereliabilityofgenerationsystemandtheeffectfromspinningreserveisputforward.Takingthemaximumrelativebenefitofspinningreserveasobjectivefunction,throughprobabilisticevaluationmethodforgenerationsystemandusingtheriskdegreeofplacingthesystemservice,thenumberofunitstobeputintooperationisdetermined,usingtheriskdegreeofsystemresponsetherationaldistributionofspinningreservecanbeobtained.Aheuristicalgorithmtosolvetheabovementionedproblemisproposedandtheresultsofcalculationexamplesaregiven.KEYWORDS:Electricitymarket;Unitcommitment;Benefitfromspinningreserve;Systemreliability11[1]22.12.2--Δ⋅=∑=NiiikENSEENSSuECF1][max])()1()([1111∑∑=--=⋅-+NidnikiikikNiikiiktSTuuPCu(1)14PowerSystemTechnologyVol.27No.6FEENSCENSEΔEENS[2]NiSiikuk011-ikuk)(ikiPCiikPik1hikPi)(1-dnikitSTik1-dniktikiikiikiikicPbPaPC++=2)((2)iaibic)e1()(11idniktiidnikiBKtSTt----+=(3)iKiBit[3]iS=iiGG-'(4)'iGiGEiP1hEiEEiP)(ikiPC)(EiiECcp)(EiicECpr)(EiicEiiECpEG-=′r(5)iP1hiEiP)(ikiPC)(iicECp)(iiciiECpEG-=r(6)2.31kNiikikLPu=∑=1NSk,...,2,1=(7)kLkNS2iikiPPP≤≤NSk,...,2,1=(8)iPiPi3[4]0)()(11≥----ikikupiupikuuTtNSkNi,...,2,1;,...,2,1==(9)0)()(11≥----ikikdnidnikuuTtNSkNi,...,2,1;,...,2,1==(10)1-upikti1-kupiTdniTi4CRCRk≤NSk,,2,1Λ=(11)RRRRk≤NSk,,2,1Λ=(12)kCRkkRRk[2]CRRR1T12T10min2TT227615T(k)K=1,2,…,nT(1)CR(1)CR(k)=ECR(k)-BCR(k)K=1?T(k-1)BCR(k)T(k)T(k)ECR(k)CR=CR(1)+CR(2)+…+CR(n)NYYN1Fig.1Algorithmofcommitmentrisk2CRRR312(8)(11)?NY(9)(10)(7)(12)???NNNYYY2Fig.2FlowchartofheuristicalgorithmminiuimiiimiiPcbPa++=minu(13)iimacP=imiPPP≤≤[5]1iiiQLMLOSLC=iLOSi1iQLMi1kWhiciiLCpY+=minu(14)cp/kWhLCIiLCiY16PowerSystemTechnologyVol.27No.6iY43(9)(10)11dnjTdnjTupjTupjT(8)iiPP=iPPΔililjjPΔ4VC++6.0CPUP-93310[6]0.13.5/kWhiLCiLC11Tab.1Failurerateofeachunit12345678910/(/)334334343422Tab.2Thetemporaryorderofeachunitinthefirstperiodoftime123456789101089657423113435ΔEENS0.00000010.0000010.000010.00010.0010.010.116789103Fig.3TheresponsbilitycurveoffiveUCplans276170100200300400500600678910/(×103)0306090120150180P/MWΔEENS4DEENSFig.4TherelativebenefitandDEENScurveoffiveUCplans3Tab.3ComputationalresultsoffiveUCplansEENS/MWh/×10360.0159920.000114062.7720570.0112780.0000760152.2649180.0072200.0000760160.3251290.0001380.0000001162.92511100.0001200.0000001163.115064678910EENS8844Tab.4Calculationresultsofthefirsttimeinterval123456789100101111111/MW062092141165196400474470/MW0180289115124454680555Tab.5Unitcommitmentofeachperiodoftime123456789101112131415161718192021222324100000000000000000000000121111000000000000000001113000000000000000000000011411111111100000000011111151111111111000000011111116111111110000000000011111711111111111111111111111181111111111111111111111119111111111111111111111111101111111111111111111111110204060801001357911131517192123t/h/%5Fig.5Thepercentagecurveofspinningreserve523%0.15121918PowerSystemTechnologyVol.27No.6511010001[1]ChenHaoyongWangXifanAsurveyofoptimization-basedmehodsforunitcommitment[J]PowerSystemAutomation199923(4)51-56[2]BillintonRAllanRNReliabilityevaluationofpowersys-tems[M]NewYorkPlenumPress1994[3]ZhangGuoquanWangXiuliWangXifanEffectofspinningreserveinelectricitymarketandcostanalysis[J]PowerSystemAutomation200024(21)14-18[4]WangCShahidehpourSMEffectsoframp-ratelimitsonunitcommitmentandeconomicdispatch[J]IEEETrans.onPowerSystems19938(3)1341-1350[5]ZhaoZichenXiangNiandeXiaQingetalHybridheuristic-progressiveoptimaliltyapproachtounitcommitment[J]199737(1)57-60[6]HanXueshanLiuZhuoOptimalunitcommitmentconsideringunit’sramp-ratelimits[J]199418(6)11-162002-11-201979-1956-1954-,G200(D200)SMU3G200SMU7042RTU500kVRTUG200GEG2001G2003IPG200G200RTULANWANIEC870-5-101IEC870-5-104G200SMU