Acoustic noise and vibration is one of the shortcomings of a switched reluctance machine (SRM). Harmonics of the radial force waveform in the airgap excite the stator structure at different vibration modes with specific frequencies. The radial force density in the airgap should be calculated before analyzing and mitigating acoustic noise and vibration. This paper proposes a reluctance mesh-based magnetic equivalent circuit (MEC) model to calculate the airgap radial force density. Reluctance mesh-based MEC models are developed for 3-phase 6/4, 6/16, 12/8 and 4-phase 8/6, 8/10, and 16/12 SRMs. A technique for the dynamic modeling of SRMs is proposed using the reluctance mesh-based MEC method. Dynamic currents are calculated using the proposed technique and, then, the radial and tangential flux density in the airgap are calculated. The radial force density in the airgap is calculated by applying the Maxwell Stress Tensor method. Fourier series is used to calculate the harmonics of the radial force density. The results obtained from the MEC model are verified using finite element method (FEM) models. The implemented MEC-based dynamic modeling method is validated using experimental results.

中文翻译：

---

使用基于磁阻网格的磁等效电路计算开关磁阻电机的径向力密度

声学噪声和振动是开关磁阻电机 (SRM) 的缺点之一。气隙中径向力波形的谐波以特定频率的不同振动模式激发定子结构。在分析和减轻声学噪声和振动之前，应计算气隙中的径向力密度。本文提出了一种基于磁阻网格的磁等效电路 (MEC) 模型来计算气隙径向力密度。基于磁阻网格的 MEC 模型是为 3 相 6/4、6/16、12/8 和 4 相 8/6、8/10 和 16/12 SRM 开发的。提出了一种使用基于磁阻网格的 MEC 方法对 SRM 进行动态建模的技术。使用所提出的技术计算动态电流，然后计算气隙中的径向和切向磁通密度。通过应用麦克斯韦应力张量法计算气隙中的径向力密度。傅里叶级数用于计算径向力密度的谐波。使用有限元法 (FEM) 模型验证从 MEC 模型获得的结果。使用实验结果验证了所实施的基于 MEC 的动态建模方法。