Electromagnetic Analysis of Single-Phase Linear Oscillatory Actuator Based on Subdomain Analytical Model With End and Stacking Effects

This article proposes an improved analytical approach to the electromagnetic performance of a linear oscillatory actuator, considering the end and stacking effects of the outer and inner cores. A simplified analytical model is defined with several assumptions taking into account the end effect of the outer and inner core in the z -axis direction. Maxwell's equations, partial differential equations, and Fourier series are used to derive the general solution in each subdomain of the proposed model. By calculating the boundary conditions applied in the r - and z -directions, unknown coefficients of analytical solutions are derived. The electromagnetic performances are expressed mathematically from the derived analytical solutions. To increase the accuracy of the proposed analytical method, a stacking factor that considers manufacturability is applied to the calculation of the electromagnetic performances. The validity of the proposed analytical method is verified by comparing the results of 2-D and 3-D finite-element analyses and the experiment.