Optimal design method for LLCL filters based on NSGA-III

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ORIGINAL ARTICLE

Optimal design method for LLCL filters based on NSGA‑III Baojin Li1 · Songtao Huang1 · Jie Ye2 · Yesong Li2 · Anwen Shen2 · Junli Deng3  Received: 4 January 2020 / Revised: 26 April 2020 / Accepted: 5 May 2020 © The Korean Institute of Power Electronics 2020

Abstract The LLCL filter is usually used as a switching ripple suppressor since it can attenuate switching-frequency current harmonics much better than an LCL filter using lower total inductance and capacitance. However, it is more difficult to design LLCL parameters. In addition, it has a number of initial design constraints: the fundamental reactive power, the resonant frequency fres, etc. are coupled and always contradictory, which means that designing the parameters is a Many-objective optimization problem (MaOP). The non-dominated sorting genetic algorithm-III (NSGA-III) does well in solving this kind of problem. In recent studies, the proposed methods only provide a range of parameters. Thus, obtaining certain parameters relies on experience, and using the boundary value cannot be proved optimal. However, using original NSGA-III is somewhat timeconsuming for achieving specific parameters. To deal with this problem, this paper proposes a novel optimal design method for an LLCL filter based on NSGA-III with the handling of constraints. The proposed method gives a set of specific parameters and achieves a high computing efficiency. The proposed method is verified through simulations and a grid-connected inverter system based on a virtual instrument to show the effectiveness of the proposed method. Keywords  Switching ripple suppressor · LLCL filter · NSGA-III · Many-objective optimization · Parameter design · StarSim software

1 Introduction With the wide application of distributed power generation, grid-connected inverters have received more and more attention for acting as the interface between renewable energy sources and a utility grid. To improve the power quality of a grid [1], a switching ripple suppressor is used to suppress harmonics injection into the power grid. These harmonics are most often caused by sine pulse width modulation (PWM). The most common solution is to use a third-order LCL filter instead of a first-order L filter [2]. The LCL filter can * Junli Deng [email protected] 1



National Key Laboratory of Science and Technology on Multispectral Information Processing, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China

2



Key Laboratory of Imaging Processing and Intelligent Control, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China

3

College of Information, Huazhong Agriculture University, Wuhan, China



satisfy the grid interconnection standards with a significantly smaller size and cost, especially for applications above several kilowatts when compared with the first order L filter. However, these two kinds of filters cannot do well in suppressing switching ripple or in application to