A Comprehensive Winding Method for Linear Variable-Reluctance Resolvers to Compensate for the End Effects

End effects and edge effects are common phenomena in linear machines, and these phenomena adversely affect the performance of linear electromagnetic structures. In this article, novel winding methods for linear variable-reluctance (VR) resolvers are proposed to compensate for the end effects. Compared with previous studies, these methods are analytical and do not rely on iteration algorithms. The proposed methods are, in fact, based on linear algebra equations, and singular value decomposition is used to solve the equations. The results of the equations state how many turns should each signal coil have for an acceptable performance. The proposed winding methods are then both simulated and experimentally tested on a VR tubular resolver, and a good correlation between the results is seen.