Analysis and optimization of a new 2-D magnet array for linear and rotary actuator

This paper presents a new 2-D cylindrical permanent-magnet array for a linear and rotary permanent magnet actuator (LRPMA), in which the angle between the magnetization directions of any two adjacent magnets is 45°. By the given magnetization distributions and boundary conditions in the cylindrical coordinate system, the magnetic field distributions of the actuator with the new 2-D array are analytically analyzed using the magnetic scalar potential and the modified BESSEL functions. The analytical optimization of the magnetic flux density distribution is made by analyzing the harmonics of the flux density. Analytical linear electromagnetic force and rotary electromagnetic torque, respectively, are derived. A three-dimensional finite element (FE) model and a protype are also established and manufactured to validate the correctness of the analytical results.