A new approximation for calculating the attraction force in cylindrical permanent magnets arrays and cylindrical linear single-axis-actuator

Abstract

New accurate approximation is proposed using integral expressions for evaluating the magnetic force between cylindrical permanent magnet arrays. The magnetic field distribution is calculated analytically by using Coulombian model. In this paper, every cylindrical magnet is divided into elementary cuboidal magnets. The accuracy can be controlled by regulating the value of elementary cuboidal permanent magnets “N”. The approximation can also be used to calculate the force interaction in the cylindrical linear single-axis-actuator. We confirm the validity of magnetic force calculation by comparing it with other methods and measurements. The calculation results are in very good agreement with measured values, which indicates the feasibility of our approximation.