An analytical solution for the field of a hysteresis motor based on complex permeability

Zaher F.A.A.

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An analytical solution for the field of a hysteresis motor based on complex permeability

机译：基于复磁导率的磁滞电动机领域的解析解决方案

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A closed-form solution for the electromagnetic field distribution inside a hysteresis motor is presented. The solution is based upon Maxwell's field equations, considering the case of a circumferential-flux-type machine at synchronous speed. A hysteresis loop in the shape of an inclined ellipse is adopted. The application of the complex permeability concept to space rotating vectors is explained. A new form for the general solution of Laplace's equation is used. This new form makes it possible to obtain a proper matching between the field components at the rotor outer surface when the scalar potential function is used and the hysteresis is considered. The torque equation is developed in order to allow comparison with test results. The proposed solution is simple, accurate, and rigorous. Comparison with test results shows the accuracy of the method.

机译：提出了一种用于磁滞电动机内部电磁场分布的封闭形式的解决方案。该解决方案基于麦克斯韦的磁场方程，并考虑了圆周磁通型电机在同步速度下的情况。采取椭圆形的磁滞回线。解释了复磁导率概念在空间旋转矢量中的应用。拉普拉斯方程一般解的新形式被使用。当使用标量势函数并考虑了磁滞时，这种新形式可以在转子外表面的场分量之间获得适当的匹配。扭矩方程式的开发是为了与测试结果进行比较。所提出的解决方案简单，准确且严格。与测试结果的比较表明了该方法的准确性。

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来源
《IEEE Transactions on Energy Conversion》 |1990年第1期|P.156-163|共8页
作者
Zaher F.A.A.;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类电能学;能源与动力工程;
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An analytical solution for the field of a hysteresis motor based on complex permeability

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