Analysis Method to A Halbach PM Ironless Linear Motor With Trapezoid Windings

Halbach PM ironless linear motors mostly adopt film windings. In this paper, a novel Halbach PM ironless linear motor with trapezoid windings is proposed and analyzed. The trapezoid windings can achieve a primarily single-sided and well sinusoidal magnetic field. After current density formula is derived, the magnetic flux density equations of the trapezoid windings are formulated using the vector potential method. Based on analytical field, the force ripples of the Halbach PM ironless linear motor with trapezoid windings are analyzed using Maxwell stress tensor method. The simulations with FE method and numerical Lorentz force method are presented to show the validity of the analysis method.