Analytical model for the prediction of the Magnetic Field Distribution due to a finite length Permanent Magnet array for a Radially Magnetized Linear Oscillatory Machine

This paper present a two dimensional (2D) analytical model for longitudinal flux air-cored linear oscillatory generator. The proposed model considers a model in which the magnetic field is only generated by the permanent magnets. The analytical model is developed by taking the permanent magnet array as having a finite length which is repeated infinitely at a separation distance while the iron yokes are considered to be infinitely long; infinitely permeable. The solutions are obtained by employing the sub-domain method and the separation of variables. The magnetic field distribution is predicted by the analytical model developed and correlates well with the distribution generated by a finite element package