基于改进FastICA及偏最小二乘法的系统谐波阻抗估计
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摘要
系统谐波阻抗的精确估计可用于合理区分系统与用户的谐波污染责任。提出一种基于改进快速独立成分分析(Fast ICA)及偏最小二乘法的系统谐波阻抗估计方法。基于公共连接点处的谐波电压和谐波电流数据,采用基于修正的三阶收敛牛顿迭代的Fast ICA算法实现混合信号的分离,相比传统二阶牛顿迭代提高了算法收敛速度;其次,基于解混出的变量,采用偏最小二乘法进行主成分分析求得混合系数,降低了解混变量之间的弱相关性带来的计算误差。最后依据系数间的线性关系计算系统谐波阻抗。仿真和实际案例分析表明,所提方法的系统谐波阻抗估计结果相比现有方法精度更高。
Accurate assessment of system harmonic impedance can be used to distinguish harmonic pollution contributions from system side and customer side. A harmonic impedance assessment method based on improved fast independent component analysis(Fast ICA) and partial least squares(PLS) is proposed. With the harmonic voltage and current data measured at the point of common coupling(PCC), it adopts Fast ICA algorithm based on modified Newton iteration with the third order convergence to obtain decomposed components to improve iteration speed of conventional Newton iteration with the second order convergence. PLS is used to perform principal component analysis(PCA) to obtain mixed coefficients, decreasing the error due to low correlation between the decomposed components. The system harmonic impedance is assessed according to linearity of the mixed coefficients. Results of simulation and practical case analysis show that assessment accuracy of the system harmonic impedance obtained with the proposed algorithm is higher than that of existing methods.
Accurate assessment of system harmonic impedance can be used to distinguish harmonic pollution contributions from system side and customer side. A harmonic impedance assessment method based on improved fast independent component analysis(Fast ICA) and partial least squares(PLS) is proposed. With the harmonic voltage and current data measured at the point of common coupling(PCC), it adopts Fast ICA algorithm based on modified Newton iteration with the third order convergence to obtain decomposed components to improve iteration speed of conventional Newton iteration with the second order convergence. PLS is used to perform principal component analysis(PCA) to obtain mixed coefficients, decreasing the error due to low correlation between the decomposed components. The system harmonic impedance is assessed according to linearity of the mixed coefficients. Results of simulation and practical case analysis show that assessment accuracy of the system harmonic impedance obtained with the proposed algorithm is higher than that of existing methods.
引文
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[16]邱思雨,杨洪耕.改进的加权支持向量机回归的谐波发射水平估计方法[J].电工技术学报,2016,31(5):85-90.Qiu Siyu,Yang Honggeng.Assessment method of harmonic emission level based on the improved weighted support vector machine regression[J].Transactions of China Electrotechnical Society,2016,31(5):85-90(in Chinese).
[17]Hui J,Yang H,Lin S.Assessment method of harmonic emission level based on covariance characteristic of random vectors[J].IEEE Trans on Power Delivery,2010,25(3):1778-1786.
[18]Ferreira D D,Seixas J M D,Cerqueira A S.A method based on independent component analysis for single and multiple power quality disturbance classification[J].Elect Power Syst Res,2015,119(3):425-431.
[19]Karimzadeh F,Esmaeili S.,Hosseinian S H.A novel method for noninvasive estimation of utility harmonic impedance based on complex independent component analysis[J].IEEE Trans Power Del ivery,2015,30(4);1843-1852.
[20]Ferreira D D,Nagata E A,Ferreira S C,et al.Method based on independent component analysis for harmonic extraction from power system signals[J].Electr Power Syst Res,2015,119(1):19-24.
[21]Zhao Xi,Yang Honggeng.A new method to calculate the utility harmonic impedance based on Fast ICA[J].IEEE Transactions on Power Delivery,2016,31(1):381-388.
[2]王莉虹,肖先勇,张逸,等.考虑测量误差的谐波贡献评估[J].电网技术,2016,40(12):3865-3870.Wang Lihong,Xiao Xianyong,Zhang Yi,et al.Harmonic contribution assessment considering measurement error[J].Power System Technology,2016,40(12):3865-3870(in Chinese).
[3]Zang Tianlei,He Zhengyou,Fu Ling,et al.Adaptive method for harmonic contribution assessment based on hierarchical k-means clustering and Bayesian partial least squares regression[J].IET Generation,Transmission&Distribution,2016,10(13):3220-3227.
[4]王辉,刘炜,李群湛,等.基于复数域偏最小二乘法与等值法的多谐波源责任划分[J].电力系统自动化,2017,41(4):78-85.Wang Hui,Liu Wei,Li Qunzhan,et al.Responsibility distinction for multiple harmonic sources based on partial least square in complex field and equivalent method[J].Automation of Electric Power Systems,2017,41(4):78-85(in Chinese).
[5]Xu Wilsun,Liu Yilu.A method for determining customer and utility harmonic contribution at the point of common coupling[J].IEEE Transactions on Power Delivery,2000,15(2):804-811.
[6]惠锦,杨洪耕,叶茂青.基于阻抗归一化趋势判别的谐波发射水平估计[J].中国电机工程学报,2011,31(10):73-80.Hui Jin,Yang Honggeng,Ye Maoqing.Assessing harmonic emission level based on the impedance gathering trend discrimination[J].Proceedings of the CSEE,2011,31(10):73-80(in Chinese).
[7]邱璐,陈丽华.臧天磊,等.基于可观性量测和梯度投影算法的谐波源定位[J].电网技术,2015,40(2):649-655.Qiu Lu,Chen Lihua,Zang Tianlei,et al.Harmonic sources location method based on observability measurement and gradient projection algorithm[J].Power System Technology,2015,40(2):649-655(in Chinese).
[8]孙媛媛,尹志明.基于M估计稳健回归的多谐波源责任区分[J],中国电机工程学报,2012,32(31):166-173.Sun Yuanyuan,Yin Zhiming.Quantifying harmonic responsibilities of multiple harmonic sources based on M-estimation robust regression[J].Proceedings of the CSEE,2012,32(31):166-173(in Chinese).
[9]杨源,臧天磊,何正友.一种谐波阻抗未知条件下的谐波源定位方法[J].电网技术,2014,38(1):222-226.Yang Yuan,Zang Tianlei,He Zhengyou.A harmonic source location method under unknown harmonic impedance[J].Power System Technology,2014,38(1):222-226(in Chinese).
[10]Sumner M,Palethorpe B,Thomas D,et al.A technique for power supply harmonic impedance estimation using a controlled voltage disturbance[J].IEEE Transactions on Power Electronics,2002,17(2):207-215.
[11]Yang H,Porotte P,Robert A.Harmonic emission levels of industrial loads statistical assessment[C]//CIGRE.1996:36-306.
[12]王诗超,沈城,程建洲.考虑电流波动特性的系统侧谐波阻抗估计方法[J].电力系统自动化,2012,36(3):65-70.Wang Shichao,Shen Chen,Cheng Jianzhou.A power system harmonic impedance assessment method considering current’s fluctuation characteristic[J].Automation of Electric Power Systems,2012,36(3):65-70(in Chinese).
[13]龚华麟,肖先勇,刘亚梅,等.基于主导波动量筛选原理的用户谐波发射水平估计方法[J].中国电机工程学报,2010,30(4):22-27.Gong Hualin,Xiao Xianyong,Liu Yamei,et al.A method for assessing customer harmonic emission level based on the dominant fluctuation filtering principle[J].Proceedings of the CSEE,2010,30(4):22-27(in Chinese).
[14]张巍,杨洪耕.基于二元线性回归的谐波发射水平估计方法[J].中国电机工程学报,2004,24(6):54-57.Zhang Wei,Yang Honggeng.A method for assessing harmonic emission level based of binary linear regression[J].Proceedings of the CSEE,2004,24(6):54-57(in Chinese).
[15]康捷,解绍锋,刘晓菊,等.基于支持向量机的谐波阻抗估计方法[J].电力系统保护与控制,2010,38(22):131-134.Kang Jie,Xie Shaofeng,Liu Xiaoju,et al.Assessing the harmonic impedance based on support vector machine[J].Power System Protection and Control,2010,38(22):131-134(in Chinese).
[16]邱思雨,杨洪耕.改进的加权支持向量机回归的谐波发射水平估计方法[J].电工技术学报,2016,31(5):85-90.Qiu Siyu,Yang Honggeng.Assessment method of harmonic emission level based on the improved weighted support vector machine regression[J].Transactions of China Electrotechnical Society,2016,31(5):85-90(in Chinese).
[17]Hui J,Yang H,Lin S.Assessment method of harmonic emission level based on covariance characteristic of random vectors[J].IEEE Trans on Power Delivery,2010,25(3):1778-1786.
[18]Ferreira D D,Seixas J M D,Cerqueira A S.A method based on independent component analysis for single and multiple power quality disturbance classification[J].Elect Power Syst Res,2015,119(3):425-431.
[19]Karimzadeh F,Esmaeili S.,Hosseinian S H.A novel method for noninvasive estimation of utility harmonic impedance based on complex independent component analysis[J].IEEE Trans Power Del ivery,2015,30(4);1843-1852.
[20]Ferreira D D,Nagata E A,Ferreira S C,et al.Method based on independent component analysis for harmonic extraction from power system signals[J].Electr Power Syst Res,2015,119(1):19-24.
[21]Zhao Xi,Yang Honggeng.A new method to calculate the utility harmonic impedance based on Fast ICA[J].IEEE Transactions on Power Delivery,2016,31(1):381-388.