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<p>The permanent magnetic claw pole machine (PMCPM) shows promising potential for application due to its high torque density and modular stator design. However, optimizing a complex 3-D magnetic flux permanent magnetic synchronous machine (PMSM) is challenging due to its intricate magnetic flux distribution, especially in the complex claw pole structure of PMCPM. This paper presents a shape design optimization method to mitigate magnetic flux density saturation at the claw pole and enhance PMCPM performance. Given the high-dimensional design parameters, a multi-level strategy is employed for optimization, while a radial basis function (RBF) surrogate model is utilized to alleviate computational costs within the multi-objective robust design optimization framework. To select the suitable surrogate model, a quantitative comparison with the Kriging model is performed, demonstrating the superior performance of the RBF model in terms of accuracy. The most sensitive parameters are optimized using the design for six sigma (DFSS) robust optimization method, minimizing the impact of manufacturing tolerance on the optimization results. The inhomogeneous no-load flux density distribution of the claw pole, which induces high harmonic content of no-load back electromotive force (EMF), is mitigated through shape optimization. The optimization results demonstrate that the shape-optimized PMCPM achieves lower torque ripple, higher torque capability, and improved operational efficiency. Additionally, the proposed method is effective and significantly reduces computational costs. Moreover, the proposed method can be applied to effective multi-objective robustness optimization of other high-dimensional machines.</p>

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Robust-Oriented Multi-objective Shape Design Optimization of a Permanent Magnet Claw Pole Machine Based on RBF Surrogate Model

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • Chengcheng Liu,
  • Kexin Ren,
  • Youhua Wang,
  • Feng Niu,
  • Gang Lei,
  • Jianguo Zhu

摘要

The permanent magnetic claw pole machine (PMCPM) shows promising potential for application due to its high torque density and modular stator design. However, optimizing a complex 3-D magnetic flux permanent magnetic synchronous machine (PMSM) is challenging due to its intricate magnetic flux distribution, especially in the complex claw pole structure of PMCPM. This paper presents a shape design optimization method to mitigate magnetic flux density saturation at the claw pole and enhance PMCPM performance. Given the high-dimensional design parameters, a multi-level strategy is employed for optimization, while a radial basis function (RBF) surrogate model is utilized to alleviate computational costs within the multi-objective robust design optimization framework. To select the suitable surrogate model, a quantitative comparison with the Kriging model is performed, demonstrating the superior performance of the RBF model in terms of accuracy. The most sensitive parameters are optimized using the design for six sigma (DFSS) robust optimization method, minimizing the impact of manufacturing tolerance on the optimization results. The inhomogeneous no-load flux density distribution of the claw pole, which induces high harmonic content of no-load back electromotive force (EMF), is mitigated through shape optimization. The optimization results demonstrate that the shape-optimized PMCPM achieves lower torque ripple, higher torque capability, and improved operational efficiency. Additionally, the proposed method is effective and significantly reduces computational costs. Moreover, the proposed method can be applied to effective multi-objective robustness optimization of other high-dimensional machines.