Solution and Performance Analysis to a Robust State Estimation Method With Exponential Objective Function
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摘要: 针对一个指数型目标函数电力系统抗差状态估计模型,给出一种有效的求解方法。由于指数型目标函数电力系统抗差状态估计模型的目标函数连续可微,因此可通过与加权最小二乘估计类似的牛顿法方便地进行求解,与现有状态估计程序之间具有很好的兼容性。理论分析表明新的抗差估计模型具有很强的排除不良杠杆量测的性能,并通过与加权最小二乘估计和广义M估计的数值算例比较,进行了验证。基于IEEE标准系统和2个实际省级电网的计算分析,将本文方法与现场广泛应用的含不良数据辨识环节的加权最小二乘估计程序进行比较,结果表明所提方法的抗差能力具有明显的优势。Abstract: An efficient method to solve the proposed robust power system state estimation model with an exponential objective function was presented.The objective function of the estimation model is differentiable,so solution based on Newton method can be used.As its solution is similar with weighted least square estimator,the new method has good compatibility with traditional methods.The theoretical analysis shows that the proposed method has powerful ability to compress the effects of bad leverage measurements,which is also verified by comparing this method with weighted least square estimator and generalized M-estimator.IEEE standard test systems and two provincial power grids were used to compare the performance of proposed method with a widely used weighted least square estimator with a bad data identification module.The results show that the proposed method is much more robust in identifying bad data.
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Keywords:
- power system /
- state estimation /
- bad data identification /
- robust estimation /
- leverage point
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[1] Monticelli A,Garcia A.Reliable bad data processing for real-timestate estimation[J].IEEE Trans.on Power Apparatus and Systems,1983,PAS-102(5):1126-1139.
[2] Monticelli A.Multiple bad data identification for state estimation bycombinatorial optimization[J].IEEE Trans.on Power Delivery,1986,PWRD-1(3):361-369.
[3] Zhang B M,Lo K L.A recursive measurement error estimationidentification method for bad data analysis in power system stateestimation[J].IEEE Trans.on Power Systems,1991,PWRS-6(1):191-198.
[4] 相年德,王世缨,于尔铿.电力系统状态估计中的不良数据估计识别法,第一部分:理论和方法[J].清华大学学报:自然科学版,1979,19(4):1-16.Xiang Niande,Wang Shiying,Yu Erkeng.The estimation-identification approach of bad data in power system state estimation,part I:basic principles and solving method[J].Journal of TsinghuaUniversity:Science and Technology,1979,19(4):1-16(in Chinese). [5] 于尔铿,相年德,王世缨.电力系统状态估计中的不良数据估计识别法,第二部分:检测系统[J].清华大学学报:自然科学版,1980,20(1):1-15.Yu Erkeng,Xiang Niande,Wang Shiying.The estimation-identification approach of bad data in power system state estimation,part II:detective system[J].Journal of Tsinghua University:Scienceand Technology,1980,20(1):1-15(in Chinese). [6] 赵海天,相年德,王世缨,等.多不良数据的相关量测检测方法[J].中国电机工程学报,1990,10(6):24-30.Zhao Haitian,Xiang Niande,Wang Shiying,et al.A new detectionmethod for bad data using linear dependence properties of themeasurements in power system state estimation[J].Proceedings of theCSEE,1990,10(6):24-30(in Chinese). [7] 孙国强,卫志农,周封伟.改进迭代自组织数据分析法的不良数据辨识[J].中国电机工程学报,2006,26(11):162-166.Sun Guoqiang,Wei Zhinong,Zhou Fengwei.The application ofISODATA to bad data detection and identification based on geneticalgorithms[J].Proceedings of the CSEE,1990,10(6):162-166(inChinese). [8] Mili L,Cheniae M G,Rousseeuw P J.Robust state estimation ofelectric power systems[J].IEEE Trans.on Circuits and Systems,I:Fundamental Theory and Applications,1994,41(5):349-358.
[9] Kotiuga W W,Vidyasagar M.Bad data rejection properties ofweighted least absolute value techniques applied to static stateestimation[J].IEEE Trans.on Power Apparatus and Systems,1982,PAS-101(4):844-853.
[10] Mili L,Phaniraj V,Rousseeuw P J.Least median of squaresestimation in power systems[J].IEEE Trans.on Power Systems,1991,PWRS-6(2):511-523.
[11] Handschin E,Schweppe F,Kohlas J,et al.Bad data analysis forpower system state estimation[J].IEEE Trans.on Power Apparatusand Systems,1975,PAS-94(2):329-337.
[12] 郭伟,单渊达.M估计方法及其在电力系统状态估计中的应用[J].中国电机工程学报,2000,20(9):26-31.Guo Wei,Shan Yuanda.M-estimation and its application in powersystem state estimation[J].Proceedings of the CSEE,2000,20(9):26-31(in Chinese). [13] 吴文传,郭烨,张伯明.指数型目标函数电力系统抗差状态估计[J].中国电机工程学报,2011,31(4):67-71.Wu Wenchuan,Guo Ye,Zhang Boming.A robust state estimationmethod with exponential objective function[J].Proceedings of theCSEE,2011,31(4):67-71(in Chinese). [14] Mili L,Cheniae M G,Vichare N S,et al.Robust state estimationbased on projection statistics[J].IEEE Trans.on Power Systems,1996,PWRS-11(2):1118-1127.
[15] Pires R C,Simes Costa A,Mili L.Iteratively reweighted least-squaresstate estimation through givens rotations[J].IEEE Trans.on PowerSystems,1999,PWRS-14(4):1499-1507.
[16] 张俊龙,陈阳舟,高俊侠,等.基于SHGM估计方法的电力系统状态估计[J].电力系统自动化,2003,23(1):6-11.Zhang Junlong,Chen Yangzhou,Gao Junxia,et al.State estimationof power system based on the SHGM method[J].Automation ofElectric Power Systems,2003,23(1):6-11(in Chinese). [17] Hampel F R.Robust statistics:the approach based on influencefunctions[M].New York:Wiley,1986:328-334.
[18] Anderson P M,Fouad A A.Power system control and stability[M].Ames,Iowa:The Iowa State University Press,1977:37-39.
[19] 于尔铿.电力系统状态估计[M].北京:水利电力出版社,1985:54-57.Yu Erkeng.State estimation for electric power system[M].Beijing:Hydraulic Power Publishing Company,1985:54-57(in Chinese).
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