引用本文: | 崔永林,席燕辉,张小东.基于自适应卡尔曼滤波残差分析的谐波检测[J].电力系统保护与控制,2019,47(24):92-100.[点击复制] |
CUI Yonglin,XI Yanhui,ZHANG Xiaodong.Detection of harmonic based on residual analysis using adaptive Kalman filter[J].Power System Protection and Control,2019,47(24):92-100[点击复制] |
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摘要: |
针对卡尔曼滤波在电力系统谐波检测精度不高的问题,提出了基于最大似然卡尔曼滤波残差分析的谐波检测方法。最大似然卡尔曼滤波通过使用最大似然自适应地优化误差协方差矩阵和初始条件参数,实现对谐波扰动幅值的预估与校正,克服了传统卡尔曼滤波精度不高和易发散的问题。同时,利用估计残差的奇异性可检测谐波干扰的起止点。仿真结果表明,该方法能准确检测出动静态谐波信号的幅值,其估计残差可以快速准确地识别出谐波干扰出现的起止时刻。 |
关键词: 电能质量 卡尔曼滤波 最大似然 滤波残差 谐波检测 |
DOI:10.19783/j.cnki.pspc.190132 |
投稿时间:2019-01-28修订日期:2019-04-17 |
基金项目:国家自然科学基金项目资助(51507015, 61673388);湖南省自然科学基金项目资助(2018JJ2439);湖南省教育厅优秀青年项目资助(18B130) |
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Detection of harmonic based on residual analysis using adaptive Kalman filter |
CUI Yonglin,XI Yanhui,ZHANG Xiaodong |
(School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha 410114, China) |
Abstract: |
Aiming at the low accuracy of harmonic disturbance detection in power system, the residual analysis using Kalman Filter based on the Maximum Likelihood (KF-ML) is proposed in this paper. In this proposed method, the optimal error covariance matrices and the initial condition parameters are adaptively optimized by using the maximum likelihood method. Thus, it can realize the prediction and correction of the harmonic amplitude, which overcomes the low precision and easy divergence of the traditional Kalman filter. The estimated residuals, exhibiting mutation at the starting and the ending of disturbances, are proposed to detect the disturbances. Simulation results show that the method can accurately detect the amplitude of the dynamic and static harmonic signals. Also, the residuals can exactly determine the starting and ending instants of the disturbances. This work is supported by National Natural Science Foundation of China (No. 51507015 and No. 61673388), Natural Science Foundation of Hunan Province (No. 2018JJ2439), and Excellent Youth Fund of Hunan Education Department (No. 18B130). |
Key words: power quality Kalman filter maximum likelihood filtering residuals harmonic detection |