2008 年 3 巻 2 号 p. 444-455
This study examines a three-dimensional (3D) distribution of a magnetic field to obtain an analytical model of magnetic reluctance of rectangular iron cores whose ends face a working air gap in a magnetic system. An analytical solution is obtained without the boundary condition that the magnetic intensity is uniform in the direction of a magnetomotive force at the edge of an iron core's cross-section. Furthermore, the theory of generalized function (or distribution) is applied to convergence of a trigonometric infinite series. Consequently, the solution is an approximation. The magnetic reluctance is obtained from the ratio of the magnetomotive force along the iron-core surface to the magnetic flux. The reluctance is expressed with a part corresponding to a 2D model and a part with ends effect. To assess the model, approximated equations to simplify the calculation are given with numerical examples to compare the model with a 2D model without ends effect.
