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瞬态运动电磁问题的时步有限元方法研究

, PP. 168-175

Keywords: 运动电磁问题,拉格朗日描述,欧拉描述,时步有限元法

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Abstract:

从处理瞬态运动电磁问题的基本方法出发,对已有的研究方法进行了总结。通过引入流体动力学中的概念,将处理电磁运动问题方法分为欧拉描述和拉格朗日描述,推导了两者之间的关系。给出了两种描述下的涡流场控制方程,指出了速度项对涡流项的影响。验证了拉格朗日描述下,转子运动后对其刚度矩阵的影响。由于欧拉描述和拉格朗日描述存在各自的缺点,采用欧拉描述和拉格朗日描述相结合的时步有限元法来处理含运动导体的涡流问题。以一台三相异步感应电机为例,分析其空载起动过程。通过计算得到定子三相电流、电磁转矩、电机转速随时间的变化关系,很好地验证了该方法在处理此类运动问题的有效性。

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