Analysis and Optimization of a New 2-D Magnet Array for Planar Motor

Abstract

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> This paper presents a new 2-D permanent-magnet array for a planar motor, in which the angle between the magnetization directions of any two adjacent magnets is 45<formula formulatype="inline"><tex Notation="TeX">$^{\circ}$</tex> </formula>. The harmonic model for flux density distribution of the array is solved by the scalar magnetic potential equation and validated by the finite-element method. An analytical model for real-time control is derived by taking the first harmonic of the magnetic flux density distribution. The ignored higher harmonics in <formula formulatype="inline"><tex Notation="TeX">$z$</tex></formula>-component of the magnetic flux density distribution is minimized by the genetic algorithm such that the analytical model becomes more accurate. Compared with the well-known Halbach magnet array, the proposed magnet array has lower higher harmonic components and higher <formula formulatype="inline"><tex Notation="TeX">$z$</tex> </formula>-component of the magnetic flux density, which will reduce the force ripples of the planar motor. </para>