This paper proposes a new method for fast radial vibration computation in switched reluctance motors. Only a piecewise first-order linear function is used to calculate the total peak acceleration, which is rather fast. The overall radial vibration is the superposition of natural oscillation of each mode. Before that, several critical parameters need to be calculated or measured in advance, including weight factor, natural frequency and damping ratio of each mode, in order to obtain the respective analytical expression of natural oscillation of each mode. First, the total peak acceleration concerning the multiple of current and its slope is derived analytically from the perspective of abrupt change of radial force. Then, a simple method for calculating weight factors is presented for the distribution of peak acceleration of each mode from the total peak acceleration. Natural frequencies are measured and compared by three methods, including finite-element analysis, hammer impulse test, and dc pulse excitation. The calculation of damping ratio is improved since the traditional damping ratio calculation method cannot be used in a multiple degree-of-freedom system. Finally, both simulation and experiments are conducted to verify the effectiveness and accuracy of the proposed method.

中文翻译：

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开关磁阻电机径向振动的快速计算


本文提出了一种快速计算开关磁阻电机径向振动的新方法。仅使用分段一阶线性函数来计算总峰值加速度，速度相当快。整体径向振动是各模态固有振动的叠加。在此之前，需要预先计算或测量几个关键参数，包括各模态的权重因子、固有频率和阻尼比，以获得各模态各自的固有振动解析表达式。首先，从径向力突变的角度，解析得出电流倍数的总峰值加速度及其斜率。然后，提出了一种计算总峰值加速度中各模态峰值加速度分布权重因子的简单方法。固有频率通过有限元分析、锤子冲击试验和直流脉冲激励三种方法进行测量和比较。由于传统的阻尼比计算方法无法应用于多自由度系统，因此改进了阻尼比的计算。最后通过仿真和实验验证了该方法的有效性和准确性。