相反原理を用いた有限要素法による棒状磁性体のインダクタンスの解析

概要

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The finite element method is widely used for the magnetic field calculations of magnetic circuits. In this method, however, it is difficult to evaluate the calculation errors for the models of which the exact solution is not known. This paper describes a new method to evaluate the magnetic inductance of axisymmetric rods magnetized by coil currents. In this method, complementary finite element methods are employed to obtain numerical solutions with high accuracy. By this method, the inductance of the rotationally ellipsoidal magnetic rod with linear magnetizing characteristics for which the exact solution is known is calculated. From this calculation, the range of the analyzed region and the number of nodes with which the calculation error for the upper and lower bounds is less than ±0.8 percent are presented. Also, the inductance of the rotationally ellipsoidal magnetic rod with non-linear magnetizing characteristics for which the exact solution is not known is calculated. The non-linear solutions are compared with the linear solutions. Finally, the inductance of the cylindrical magnetic rod with linear or non-linear magnetizing characteristics is calculated, and the calculated values are compared with the measured ones.
日本シミュレーション学会の論文
1992-12-15