Abstract:In order to compensate the control delay of active power filter (APF), a current predictive algorithm based on horizontal filter is presented. Reference current for next control cycle is predicted by horizontal filter with Widrow-Hoff learning algorithm, and predictive current control of APF is realized with space vector pulse width modulation (SVPWM) method. The equivalent structure of APF system with predictive current control is built, and it is decomposed into two parts. Lyapunov function is established for the stability analysis of current predictive algorithm, and transfer function of APF with SVPWM method is used to analyze the stability of SVPWM part. Long-term stable operation and compensation results of APF prove the effectiveness of control algorithm and the correctness of stability analysis for APF.
于晶荣, 滕召胜, 章兢, 胡楷. 有源电力滤波器预测电流控制及稳定性分析[J]. 电工技术学报, 2009, 24(7): 164-170.
Yu Jingrong, Teng Zhaosheng, Zhang Jing, Hu Kai. Predictive Current Control and Stability Analysis of Active Power Filter. Transactions of China Electrotechnical Society, 2009, 24(7): 164-170.
[1] Peng Fangzheng. Applications issues of active power filters[J]. IEEE Industry Applications Magazine, 1998, 4 (5): 212-230. [2] Hasan K, Osman K. Lyapunov-based control for three-phase PWM AC/DC voltage-source converters[J]. IEEE Transactions on Power Electronics, 1998, 13 (5) : 801- 813. [3] 颜晓庆, 杨君, 王兆安. 并联型电力有源滤波器的数学模型和稳定性分析[J]. 电工技术学报, 1998, 13(1): 41-45. [4] 汤赐, 罗安, 赵伟, 等. 混合型并联有源滤波器的稳定性[J]. 中国电机工程学报, 2008, 28(6): 43-48. [5] 孙卓, 姜新建, 朱东起. FBD 法及其在牵引供电系统中的应用[J]. 清华大学学报(自然科学版), 2003, 43(3): 361-365. [6] 彭建春, 黄纯. 静止无功补偿器的智能自适应PID控制器设计[J]. 湖南大学学报(自然科学版), 1999, 26(5): 50-55. [7] Song Qiang, Liu Wenhua, Jiang Qirong, et al. A new space vector method based on reference voltage decomposition for multilevel VSI[J]. Automation of Electric Power Systems, 2002, 26(20): 35-38. [8] Liu Hao, Xiao Xiangning, Xu Y H. Study on the simplified algorithm of space vector PWM[C]. Proceedings of IEEE the 5th International Conference on PEDS (Power Electronics and Drive Systems), Singapore, 2003, 877-881. [9] 于长官. 现代控制理论[M]. 哈尔滨: 哈尔滨工业大学出版社, 2003. [10] 龚耀寰. 自适应滤波——时域自适应滤波和智能天线[M]. 北京: 电子工业出版社, 2003. [11] 张明友, 吕明. 近代信号处理理论与方法[M]. 北京: 国防工业出版社, 2005. [12] Iggidr A, Oumoun M, Vivalda J C. Feedback stabilization of discrete-time nonlinear systems via the control Lyapunov functions[C]. Proceedings of the 38th Conference on Decision and Control, Phoenix, Arizona USA, 1999: 2051-2052. [13] Haykin S. Adaptive filter theory [M]. 3rd edition. Englewood Cliffs: Prentice-Hall, 1996.