Abstract：This paper firstly introduces the structure of traditional repetitive control and the rapid improvement method in dq coordinates is established. Then the adaptability problems of traditional repetitive control with frequency varying, non-integer value of cycle delay points of improved rapid repetitive control, and the difficulty to get proper integer phase compensating order under low sample frequency are analyzed. To solve these problems, fractional thought is introduced and a double fractional-order repetitive control strategy with frequency adaptability is proposed. By remoulding the traditional internal model into a finite number of adjacent integer-order internal models, novel internal model based on fractional-order cycle delay link is obtained. Meanwhile, finite number of adjacent integer-order phase-lead links are used to replace the traditional single fixed integer-order phase-lead link, to achieve the fractional-order phase compensation. In the algorithm, the classical Lagrange interpolation method is adopted to achieve the fractionization of two links. The influence of interpolation points and interpolation length on fitting effect is analyzed. Two case studies are implemented and performance differences between the proposed method and traditional methods are analyzed and compared from the perspective of frequency characteristics. Finally, experiments on the established 16.5kV·A prototype have verified the validity of proposed strategy.
徐群伟, 吴俊, 吕文韬, 马智泉, 李培. 基于双分数阶快速重复控制的有源电力滤波器电流控制策略[J]. 电工技术学报, 2019, 34(zk1): 300-311.
Xu Qunwei, Wu Jun, Lü Wentao, Ma Zhiquan, Li Pei. Current Control Strategy of Active Power Filter Based on Double Fractional-Order Rapid Repetitive Control. Transactions of China Electrotechnical Society, 2019, 34(zk1): 300-311.
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2019, Vol. 34 
