The number of inverter-fed motors is increasing due to the good controllability of the motor and the meanwhile low acquisition costs. The steep voltage slopes of the converters lead to an uneven voltage distribution along the winding and thus to voltage peaks between the conductors, which stresses the insulation. The voltage distribution can be predicted by means of equivalent circuit diagrams, which take into account the capacitive coupling between the conductors. This paper presents a novel approach for an analytical determination of the turn-to-turn capacitances, which, in addition to the geometry and the placement of the conductors, considers the influence of materials with different permittivities. The conductors are simulated by means of line charges discretely placed inside the electrodes and receptor points attached to the conductor surfaces. The capacitances are determined by means of the Maxwell capacitance matrix. The method is validated by means of FEM simulations for different geometries and materials.

中文翻译：

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用于预测 PWM 馈电电机绕组中电压峰值的匝间电容的分析确定

由于电机的良好可控性和低购置成本，变频电机的数量正在增加。转换器的陡峭电压斜率导致沿绕组的电压分布不均匀，从而导致导体之间的电压峰值，从而对绝缘施加压力。电压分布可以通过等效电路图来预测，其中考虑了导体之间的电容耦合。本文提出了一种分析确定匝间电容的新方法，除了导体的几何形状和放置之外，该方法还考虑了具有不同介电常数的材料的影响。导体通过离散放置在电极内的线电荷和连接到导体表面的接收点来模拟。电容通过麦克斯韦电容矩阵确定。该方法通过针对不同几何形状和材料的 FEM 模拟得到验证。