求解大规模acdc最优潮流的连续递推内点算法

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1、万方数据第33卷第4期2013年2月5日中国电机工程学报ProceedingsoftheCSEEV01．33No．4Feb．5．2013◎2013Chin．Soc．forElec．Eng．171文章编号：0258-8013(2013)04-0171-08中图分类号：TM71文献标志码：A学科分类号：470．40求解大规模AC／DC最优潮流的连续递推内点算法赵晓慧，阳育德，韦化(广西电力系统最优化与节能技术重点实验室(广西大学)，广西壮族自治区南宁市530004)AnInteriorPointMethodBasedonContinuousAnalogyMethodforOpt

2、imalPowerFlowofLargeScaleAC／DCSystemsZHAOXiaohui，YANGYude，WEIHua(uangxiKeyLaboratoryofPowerSystemOptimizationandEnergyTechnology(GuangxiUniversity)，Nanning530004，GuangxiZhuangAutonomousRegion，China)ABSTRACT．111ispaperpresentedanewframeworkofinteriorpointmethod(IPM)basedonacontinuousanalogy

3、method．Itovercametheconvergencedifficultyofoptimalpowerflow(OPF)problemforthelargescaleAC／DCsystemswhenusingprimal-dualinteriorpointmethod．BasedonthecontinuousanalogyoftheNewton’Smethod，thenonlinearKKT(Karush-Kuhn·Tucker)equationsintheIPMweretransformedtoasetofautonomousordinarydifferentia

4、lequations(AODEs)．Therefore，manynumericalintegrationmethodscouldbeusedtocalculatethecontinuousanalogymodel．Furthermore，differentdirectionWasobtainedthroughanumericalintegrationmethod，whoseconvergencewasbetterthanthatthroughtheNewton’Smethod．Simulationswerecarriedouttoevaluatetheperformance

5、oftheproposedalgorithmonfivepracticallargescalesystems，thelargestoneofwhichhad1585lines．Thealgorithmshowslongsteplength，goodconvergenceandstrongrobustnessespeciallyforlargescaleAC／DCsystemswimstressedconditions．KEYWORDS：continuousanalogymethod；interiorpointmethod(IPM)；AC／DCsystems；optimalp

6、owerflow(OPF)；autonomousordinarydifferentialequations(AODEs)摘要：提出连续递推的内点算法框架，以期解决原始一对偶内点法求解大规模交直流系统最优潮流收敛难的问题。基于牛顿法的连续递推思想，将一阶KKT(Karush—Kuhn．Tucker)非线性方程组转化为自治常微分方程组，可采用多种数值积分方法求解，进而获得不同于传统牛顿法的新方向，改善了原始一对偶内点法的收敛性。多达11585条线路的5个大规模实际系统的计算表明，该算法步长大、收敛性好、鲁棒性基金项目：国家自然基金项1；1(51107011，51167001)；

7、广西理工科学实验中心重点项目(LGZX201209)。ProjectSupportcdbyNationalScienceFoundationofChina(5110701151167001)andKeyProjectofGuangxiExperimentCenterofScienceandTechnologyofGuangxiUniversity(LGZX201209)．强，特别适合求解大规模交直流系统在苛刻运行条件下的最优潮流问题，具有广阔的应用前景。关键词：连续递推法；现代内点法；交直流系统；最优潮流；自治常微