【目的】在双边永磁直线电机运行过程中，仅有小部分端电压分配给电机绕组的电阻压降与反电动势，而大部分作用于电机绕组的电感压降，因此电感参数的准确性直接影响变流器系统容量设计的合理性。电感计算偏差过大既可能导致容量冗余而造成不必要的成本浪费，也可能导致容量不足而使电机无法达到既定输出性能，对其精确计算具有重要的工程意义。因此本文提出了一种电感参数计算方法。【方法】首先，基于电磁场理论，建立双边永磁直线电机的解析数学模型；然后，分别推导出双边永磁直线电机单个载流导体和单相通电绕组的气隙磁密表达式以及绕组自感、互感表达式；最后，将解析法计算结果与有限元仿真结果进行对比，以验证所提方法的有效性。【结果】气隙磁密的计算值与仿真值的误差为1%，电感的计算值与仿真值的误差小于2%，验证了所提方法的准确性。进一步地，在动态试验平台上开展了从轻载到重载工况的运行试验，通过实测数据获取的电感试验值，与解析法计算值相比误差为4.6%。基于电感计算值得到的端电压计算值与端电压试验值基本一致，进一步验证了所提电感参数计算方法的有效性与工程实用性。【结论】本研究为双边永磁直线电机的参数优化设计与供电系统配置提供了可靠的理论依据与技术支撑。

[Objective] During the operation of bilateral permanent magnet linear motor, only a small portion of the terminal voltage is allocated to the resistive voltage drop and back electromotive force across the motor windings, while the majority is applied to the inductance voltage drop across the motor windings. Thus, the accuracy of inductance parameters directly affects the rationality of the converter system capacity design. Significant deviations in inductance calculations may result in either capacity redundancy, leading to unnecessary cost wastage, or insufficient capacity, preventing the motor from achieving its specified output performance. Consequently, precise calculation holds significant engineering importance. Therefore, this paper proposes an inductance parameter calculation method. [Methods] Firstly, based on electromagnetic field theory, an analytical mathematical model for bilateral permanent magnet linear motor was established. Secondly, the expressions for the air gap magnetic flux density of a single current-carrying conductor and a single-phase excited winding of bilateral permanent magnet linear motor were derived, as well as the expressions for the self-inductance and mutual inductance of the windings. Finally, the results obtained from the analytical method were compared with the finite element simulation results to verify the effectiveness of the proposed method. [Results] The error between the calculated and simulated values of the air gap magnetic flux density was 1%, and the error between the calculated and simulated inductance was less than 2%, verifying the accuracy of the proposed method. Furthermore, operational experiments spanning light-load to heavy-load conditions were conducted on a dynamic experimental platform. The measured inductance values obtained from experiments exhibited an error of 4.6% when compared to the analytical calculation values. Additionally, the terminal voltage values derived from the inductance calculations were found to be essentially consistent with the measured terminal voltage values, thereby further validating the effectiveness and engineering applicability of the proposed inductance parameter calculation method. [Conclusion] This research provides a reliable theoretical basis and technical support for parameter optimization design and power supply system configuration of bilateral permanent magnet linear motors.

中国中车原创技术培育专项计划项目(2024CGY014)