Abstract:This paper proposes a new method to estimate the system harmonic impedance and the harmonic emission level based on the improved weighted support vector machine (WSVM) regression.According to the differences of harmonic measurement data at the point of common coupling,the WSVM can be obtained by correcting the error requirement of SVM by using Euclidean distance as a weighted index and determining the weighted coefficient of the penalty parameter by linear interpolation.Then the system harmonic impedance and the harmonic emission level can be calculated.Based on analyzing the simulation of the circuit and the practical application of field data,it proves that the proposed method can effectively restrain the influences caused by the fluctuation of the background harmonics on the estimation results.
邱思语,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. Transactions of China Electrotechnical Society, 2016, 31(5): 85-90.
[1] Yang H,Pirotte P,Robert A.Harmonic emission levels of industrial loads statistical assessment[C]//CIGRE Proceedings:International Council on Large Electric Systems,Paris,1996:456-462. [2] 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. [3] Xu Wilsun,Ahmed E E,Zhang Xiqin,et al.Measurement of network harmonic impedances:practical implementation issues and their solutions[J].IEEE Transactions on Power Delivery,2002,17(1):201-216. [4] 林海雪.公用电网谐波国标中的几个问题[J].电网技术,2003,27(1):65-70. Lin Haixue.Some problems in national standard for harmonics in public supply network[J].Power system Technology,2003,27(1):65-70. [5] 国家技术监督局.GB/T 14549—1993电能质量:公用电网谐波[S].北京:中国标准出版社,1993. [6] 刘秀玲,王洪瑞.电网谐波阻抗的测量及修正[J].电力系统及其自动化学报,2007,19(2):55-58. Liu Xiuling,Wang Hongrui.Measurement and correction of network harmonic impedances[J].Proceedings of CSU-EPSA,2007,19(2):55-58. [7] 杨洪耕,王磊.基于拉盖尔多项式的非线性负荷谐波发射水平估计[J].中国电机工程学报,2005,25(7):81-85. Yang Honggeng,Wang Lei.Assessing harmonic emission levels from non-loads using Laguerre polynomials[J].Proceedings of the CSEE,2005,25(7):81-85. [8] 车权,杨洪耕.基于稳健回归的谐波发射水平估计方法[J].中国电机工程学报,2004,24(4):39-42. Che Quan,Yang Honggeng.Assessing the harmonic emission level based on robust regression method[J].Proceedings of the CSEE,2004,24(4):39-42. [9] 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):50-53. Zhang Wei,Yang Honggeng.A method for assessing harmonic emission level based on binary linear regression[J].Proceedings of the CSEE,2004,24(6):50-53. [10]李丽,马宏忠,姜宁,等.基于改进偏最小二乘法的系统谐波阻抗及谐波发射水平估算[J].电力系统保护与控制,2011,39(1):92-95,131. Li Li,Ma Hongzhong,Jiang Ning,et al.Assessing harmonic impedance and the harmonic emission level based on improved partial least-squares regression method[J].Power System Protection and Control,2011,39(1):92-95,131. [11]惠锦,杨洪耕,林顺富,等.基于独立随机矢量协方差特性的谐波发射水平评估方法[J].电力系统自动化,2009,33(7):27-31. Hui Jin,Yang Honggeng,Lin Shunfu,et al.Assessment method of harmonic emission level based on covariance characteristic of random vectors[J].Automation of Electric Power Systems,2009,33(7):27-31. [12]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. [13]康婕,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):131-134,205. 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):131-134,205. [14]Vapnik V N.The Nature of Statistical Learning Theory[M].New York:Springer,1995. [15]阎满富,田英杰.改进的支持向量回归机[J].系统工程,2004,22(10):9-12. Yan Manfu,Tian Yingjie.The improvement of support vector regression[J].Systems Engineering,2004,22(10):9-12. [16]杜树新,吴铁军.用于回归估计的支持向量机方法[J].系统仿真学报,2003,15(11):1580-1586. Du Shuxin,Wu Tiejun.Support vector machines for regression[J].Journal of System Simulation,2003,15(11):1580-1586. [17]杜树新,吴铁军.回归型加权支持向量机方法及其应用[J].浙江大学学报(工学版),2004,38(3):47-51. Du Shuxin,Wu Tiejun.Weighted support vector machines for regression and its application[J].Journal of Zhejiang University(Engineering Science),2004,38(3):47-51. [18]李忠浩,王宇.改进的加权型支持向量回归方法[J].计算机辅助工程,2006,15(1):31-33. Li Zhonghao,Wang Yu.Improved weighted support vector regression[J].Computer Aided Engineering,2006,15(1):31-33. [19]邓乃扬,田英杰.支持向量机—理论、算法与拓展[M].北京:科学出版社,2009.