【目的】针对双馈直线电机(DFLM)在交流励磁下的动子振动问题,本文提出了一种基于滤波-x最小均方(FxLMS)算法的自适应补偿控制方法,旨在提高DFLM的动态性能和运行稳定性。【方法】首先，对DFLM在交流励磁条件下的电磁振动机理进行了深入分析，通过建立五相20槽DFLM交流励磁两点受力模型，研究了由交流励磁引起的俯仰力矩的产生机理。然后，基于该机理分析，引入了FxLMS算法作为核心控制方法，依靠闭环反馈控制自适应地注入谐波电流，从而有效抑制周期性振动。最后，为进一步提升控制效果,提出了一种基于动子励磁电流电角度的前馈补偿控制方法，提升了系统的动态响应能力。【结果】为了验证所提方法的有效性，进行了仿真分析和试验验证。基于Matlab/Simulink平台建立了DFLM的动态模型，对比分析了引入自适应补偿控制前后的动子振动响应。仿真结果表明，基于FxLMS算法的自适应补偿控制方法在动子垂向振动抑制方面取得了显著效果；前馈控制的引入，改善了控制系统的动态性能，减轻了反馈控制的调节压力。为了进一步验证算法的实际应用性能，本文搭建了试验平台，并在不同的运行条件下进行了试验测试。试验结果表明，本文所提的基于FxLMS算法的自适应补偿控制方法能够显著降低交流励磁引起的动子垂向振动。【结论】基于FxLMS算法的自适应补偿控制方法利用FxLMS算法的自适应特性，结合前馈补偿策略，在不改变原有闭环控制结构的前提下，有效解决了DFLM交流励磁过程中产生的振动问题，显著提高了DFLM的运行稳定性和控制精度，为DFLM的高性能控制提供了一种新的解决方案。

[Objective] In response to the rotor vibration issues of doubly-fed linear motor (DFLM) under AC excitation, this paper proposes an adaptive compensation control method based on the filtered-x least mean-square (FxLMS) algorithm, aimed at enhancing both the dynamic performance and the operational stability of DFLM. [Method] Firstly, the electromagnetic vibration mechanism of DFLM under AC excitation was analyzed in depth. By establishing the two-point force model of a five-phase twenty-slot DFLM under AC excitation, the generation mechanism of the pitching moment induced by AC excitation was investigated. Secondly, based on the mechanism analysis, the FxLMS algorithm was introduced as the core control method, which relied on closed-loop feedback control to adaptively inject harmonic currents, thus effectively suppressing the periodic vibration. Finally, in order to further improve the control effect, a feedforward compensation control method based on the electric angle of the mover excitation current was proposed, in combination with the above generation mechanism of electromagnetic torque, improving the dynamic response capability of the system. [Results] To validate the effectiveness of the proposed method, simulation analysis and experimental verification were conducted. A dynamic model of the DFLM was established on the Matlab/Simulink platform, and the vibration response of the mover before and after the introduction of adaptive compensation control was compared and analyzed. The simulation results indicated that the adaptive compensation control method based on the FxLMS algorithm achieved substantial suppression of vertical mover vibrations. And the introduction of feed-forward control improved the dynamic performance of the control system and reduced the regulation pressure of the feedback control. To further verify the practical performance of the algorithm, an experimental platform was set up and tests were conducted under different operating conditions. Experimental results showed that the adaptive compensation control method based on the FxLMS algorithm significantly reduced the vertical mover vibrations induced by AC excitation. [Conclusion] The adaptive compensation control method based on FxLMS algorithm utilizes the adaptive characteristics of the FxLMS algorithm, combined with the feedforward compensation strategy. This approach effectively solves the vibration problem generated during the AC excitation process of DFLM without changing the original closed-loop control structure, significantly improved the operation stability and control accuracy of DFLM. It provides a novel solution for the high-performance control of DFLM.

上海市科学技术委员会项目(23DZ1203300)