Synthetic Boundary Conditions for Analytical Magnetic Field Analysis of Halbach Magnet Arrays

Abstract

This paper presents a kind of synthetic boundary conditions for the analytical magnetic field analysis of Halbach magnet array, which are derived from the linear demagnetization characteristic and the equivalent surface current of permanent magnet (PM). With the proposed synthetic boundary conditions, boundaries of Halbach PM array are simplified to only two surfaces. As a result, a relatively simple analytical solutions of Halbach magnetization topology based on the magnetic scalar potential (MSP) are obtained.