引用本文: | 虞忠明,陈科宇,陆柯彤,等.基于改进分数阶快速终端滑模的APF优化控制研究[J].电力系统保护与控制,2024,52(18):123-132.[点击复制] |
YU Zhongming,CHEN Keyu,LU Ketong,et al.Improved fractional-order fast terminal sliding mode optimal control for an APF[J].Power System Protection and Control,2024,52(18):123-132[点击复制] |
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摘要: |
电力电子化系统的快速发展导致电网中的谐波问题日益严重。为进一步提高有源电力滤波器(active power filter, APF)的补偿电流跟踪性能和滤波效果,提出一种基于金枪鱼群优化(tuna swarm optimization, TSO)算法的改进型分数阶快速终端滑模控制(improved fractional-order fast terminal sliding mode control, IFOFTSMC)策略。首先,搭建三相并联型APF的数学模型,并考虑其参数扰动。其次,提出一种改进的分数阶快速终端滑模控制策略,其中滑模面采用分数阶快速终端滑模与分数阶PI相结合,并进行了有限时间分析,趋近律采用指数趋近律和幂次趋近律相结合,同时以反双曲正弦函作为切换项。然后,利用TSO算法对所设计控制器的参数和阶次进行优化并获得最优解。最后,通过仿真验证了所提控制方法的有效性。此外,经与相关文献比较进一步证实了所提优化控制算法不仅可以获得最优控制参数和最优分数阶阶次,使系统在有限时间内到达稳定,还能使APF具有更好的电流跟踪性能、滤波效果和更强的鲁棒性。 |
关键词: 有源电力滤波器 分数阶快速终端滑模控制 金枪鱼群优化算法 有限时间稳定 谐波治理 |
DOI:10.19783/j.cnki.pspc.240273 |
投稿时间:2024-03-11修订日期:2024-04-22 |
基金项目:国家自然科学基金项目资助(52307204);云南省基础研究计划项目资助(202201BE070001-022、202301AT 070204) |
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Improved fractional-order fast terminal sliding mode optimal control for an APF |
YU Zhongming1,CHEN Keyu1,LU Ketong1,ZHANG Yu1,SUN Yue2,DAI Xin2 |
(1. Faculty of Electric Power Engineering, Kunming University of Science and Technology, Kunming 650500, China;
2. College of Automation, Chongqing University, Chongqing 400044, China) |
Abstract: |
As the electronic power system develops rapidly, the harmonic problem in the power grid is becoming increasingly serious. To improve the compensation current tracking performance and filtering effect of an active power filter (APF), this paper proposes an improved fractional-order fast terminal sliding mode control (IFOFTSMC) based on tuna swarm optimization (TSO). First, the mathematical model of a three-phase shunt APF is established, and its parameter perturbation is considered. Secondly, an improved fractional-order fast terminal sliding mode control strategy is proposed. In the sliding mode surface, the fractional-order fast terminal sliding mode is combined with fractional-order PI theory, and finite time analysis is presented. Simultaneously, the reaching law combines exponential and power reaching law and takes the arcsinh function as the switching term. Thirdly, the control parameters and order of the designed controller are optimized using the tuna swarm optimization algorithm and the optimal solution is obtained. Finally, the effectiveness of the proposed control method is verified by simulation. In addition, it is further proved that the proposed optimal control algorithm can not only gain the optimal control parameters and fractional order, with the system reaching stability in a finite time, but also makes the APF have better current tracking performance, filtering effect and greater robustness. |
Key words: active power filter fractional-order fast terminal sliding mode control tuna swarm optimization algorithm finite time stability harmonic suppression |