引用本文:刘苏婕,肖先勇,刘亚梅,陈飞宇.基于IGG权重函数复数域多元线性回归算法的谐波责任分摊方法[J].电力自动化设备,2017,37(3):
LIU Sujie,XIAO Xianyong,LIU Yamei,CHEN Feiyu.Harmonic responsibility allocation method based on complex field multiple linear regression algorithm with IGG weight function[J].Electric Power Automation Equipment,2017,37(3):
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基于IGG权重函数复数域多元线性回归算法的谐波责任分摊方法
刘苏婕, 肖先勇, 刘亚梅, 陈飞宇
四川大学 电气信息学院,四川 成都 610065
摘要:
针对现有多谐波源责任分摊方法中存在的测量平差问题,对谐波责任稳健估计方法进行了研究。为了克服系统背景谐波电压波动的影响,提出基于复残差的背景谐波电压划分方法,引入中国科学院大地测量与地球物理研究所提出的IGG权重函数,基于复数域多元线性回归数学模型,在各时段内重复使用IGG权重函数确定回归系数,以提高背景谐波电压中样本筛选的抗差性;结合等效谐波阻抗的置信区间,提出了评估结果的检验方法;对IEEE 14节点测试系统进行仿真,仿真结果表明所提多谐波源责任分摊方法能够有效克服系统背景谐波电压波动的影响,并与现有分摊方法进行比较,验证所提方法的准确性和可行性。
关键词:  多谐波源  责任分摊  复数域多元线性回归  IGG权重函数  置信区间  谐波分析
DOI:10.16081/j.issn.1006-6047.2017.03.026
分类号:
基金项目:四川省科技厅重点科技支撑项目(2017HH0081)
Harmonic responsibility allocation method based on complex field multiple linear regression algorithm with IGG weight function
LIU Sujie, XIAO Xianyong, LIU Yamei, CHEN Feiyu
School of Electrical Engineering and Information, Sichuan University, Chengdu 610065, China
Abstract:
Aiming at the measurement adjustment problem existing in the methods of harmonic responsibility allocation among multiple harmonic sources, the robust harmonic responsibility estimation is studied. A background harmonic voltage division method based on complex residual is proposed to avoid the effect of background harmonic voltage fluctuation. The IGG weight function proposed by the Institute of Geology and Geophysics is introduced to determine the regression coefficients of the complex field multiple linear regression mathematical model in each period for improving the error resistance of sample selection of background harmonic voltage. A method considering the confidence interval of equivalent harmonic impedance is proposed for verifying the evaluation results. Simulation is carried out for IEEE 14-bus test system, which shows the proposed harmonic responsibility allocation method is immune to the effect of background harmonic voltage fluctuation. It is compared with the existing responsibility allocation methods to verify its accuracy and feasibility.
Key words:  multiple harmonic sources  responsibility allocation  complex field multiple linear regression  IGG weight function  confidence interval  harmonic analysis

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