volume | PIER Journals

Abstract

To address the challenge of achieving both steady-state accuracy and fast dynamic response in permanent magnet synchronous motor (PMSM) systems equipped with LCL filters, this paper proposes a complex vector PI controller optimization method. The proposed approach extends the conventional real-axis PI control to the complex domain, enabling unified modeling of current decoupling and harmonic suppression. Based on this formulation, the response surface methodology (RSM) is employed to optimize the controller parameters. A quadratic response model is established through design of experiments (DOE), with steady-state error, dynamic overshoot, and harmonic suppression indices defined as optimization objectives to obtain the optimal parameter set. The core contribution of this work is the integration of a frequency-domain complex-vector model with a systematic multi-objective optimization framework using Response Surface Methodology (RSM) and Generalized Reduced Gradient (GRG) algorithms. This approach addresses the inherent coupling and resonance issues in LCL-filtered PMSM systems. Quantitative experimental results demonstrate that, compared with conventional tuning methods, the proposed strategy reduces the current settling time by 47.6% and suppresses torque overshoot by 92.8%, thereby achieving a superior balance between fast transient response and steady-state accuracy.

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Dr. Xintian Liu

Mr. Yunyue Sun

Dr. Xinxin Zheng

Dr. Yao He

Dr. Yanan Zhou

Dr. Lin He