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参数失配下SPMSM无传感器控制的等效磁链补偿

Equivalent Flux Compensation for SPMSM Sensorless Control under Parameter Mismatch

Fobao Zhou, Jiaqiao Liang, Zhenxiao Yin, Xueyan Wang, Yang Shen, Zhongyu Shi, Hang Zhao

arXiv 2609.29313首次发表:更新:

发表机构

The Hong Kong University of Science and Technology (Guangzhou); South China University of Technology; University of Oxford(香港科技大学(广州); 华南理工大学; 牛津大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

针对SPMSM无传感器控制中参数失配导致的位置估计误差,提出等效磁链补偿方法,通过实时估计并补偿等效磁链扰动,结合饱和函数与李雅普诺夫分析,实验验证可有效限制位置误差。

AI 中文摘要

参数失配是表贴式永磁同步电机(SPMSM)无传感器控制中转子位置估计误差的主要来源。为此,本文提出一种简单而高效的等效磁链补偿(EFC)方法,该方法实时直接估计由参数失配引起的等效磁链扰动。首先,从非线性磁链观测器中推导出由参数失配引起的等效磁链扰动。其次,提出一种磁链更新律,通过利用几何误差与推导出的等效磁链扰动,同时最小化幅值误差和方向误差。为增强数值稳定性,引入饱和函数以改善更新过程中的梯度连续性。此外,采用李雅普诺夫分析确保所提更新律的稳定性,并由此推导出相应的误差界和收敛特性。最后,实验结果验证了所提方法能完全补偿电阻和磁链失配的稳态影响,并部分缓解电感变化的影响,从而有效将位置估计误差限制在相对较小的范围内。

英文摘要

Parameter mismatch is the main source of rotor position estimation error in sensorless control of surface-permanent magnet synchronous motors (SPMSMs). To this end, this paper proposes a simple yet efficient equivalent flux compensation (EFC) method that directly estimates the equivalent flux disturbance caused by parameter mismatches in real time. First, the equivalent flux disturbance caused by parameter mismatches is derived from a nonlinear flux observer. Second, a flux update law is proposed to minimize both magnitude and directional errors by leveraging geometric error together with the derived equivalent flux disturbance. To enhance numerical stability, a saturation function is introduced to improve gradient continuity in the update process. Additionally, Lyapunov analysis is employed to ensure the stability of the proposed update law, from which the corresponding error bounds and convergence properties are derived. Finally, experimental results validate that the proposed method fully compensates for the steady-state effects of resistance and flux mismatches, and partially mitigates the influence of inductance variation, effectively constraining the position estimation error within a relatively small range.

论文原文

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