Switched reluctance (SR) machines are magnetically non-linear electromechanical devices and their full and accurate performance prediction—especially of the instantaneous electromagnetic torque waveforms—is not amenable to closed-form analytical solutions. Consequently, the analysis of such machines is usually performed with the aid of computer-based numerical simulations that—even if providing good accuracy—do not offer physical insight into the electromagnetic energy conversion processes taking place inside the machine. For this reason, the SR machine design and analysis are not simple exercises as they require substantial computational resources and extensive prior design expertise. In this article, a methodology for a reasonably accurate prediction of the instantaneous electromagnetic torque waveforms of the SR machines is proposed using a closed-form analytical solution. The suggested approach relies on a simple vector analysis of the flux-linkage map of a non-linear SR machine and as such avoids integration, non-linear curve fitting, or geometrical series summation. The proposed vector-analysis-based methodology offers intuitive physical insight into the electromagnetic energy conversion processes taking place inside the SR machine related to the instantaneous torque generation.

中文翻译：

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利用矢量分析的开关磁阻电机瞬时电磁转矩波形计算

开关磁阻 (SR) 电机是磁性非线性机电设备，其全面准确的性能预测（尤其是瞬时电磁转矩波形）不适用于封闭形式的分析解决方案。因此，此类机器的分析通常在基于计算机的数值模拟的帮助下进行，即使提供了良好的精度，也不能提供对机器内部发生的电磁能量转换过程的物理洞察。出于这个原因，SR 机器设计和分析不是简单的练习，因为它们需要大量的计算资源和广泛的先验设计专业知识。在本文中，提出了一种使用封闭形式解析解来合理准确预测 SR 电机瞬时电磁转矩波形的方法。建议的方法依赖于非线性 SR 电机的磁链图的简单矢量分析，因此避免了积分、非线性曲线拟合或几何级数求和。所提出的基于矢量分析的方法提供了对与瞬时扭矩生成相关的 SR 机器内部发生的电磁能量转换过程的直观物理洞察。