Complete loading Characteristics Modeling of an Axial Flux Permanent Magnet Synchronous Machine Using Ck Spline Functions

Z. Lakhdari, F. Amrane, L. Adelaide, P. Makany
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Abstract

This article presents for the first time the differential equations of the complete loading characteristics of three phase axial flux permanent magnet synchronous machine (AFPMSM) with broad air-gap. It shows that this characteristic leads to algebraic differential equations (ADE), which we know recently, the properties and integrated numerical means. These equations are governed by a multidistributed value problem (MDVP) which makes this problem a difficult numerical one, non accessible by traditional solvers. This article shows thanks to the properties of Ck spline functions that we can integrated such problems by judicious choices of the initial vectors and simulated annealing methods. The first results of simulations will be given.
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用Ck样条函数完成轴向磁通永磁同步电机的加载特性建模
本文首次给出了宽气隙三相轴向磁通永磁同步电机完全负载特性的微分方程。结果表明,这一特性导致了我们最近才知道的代数微分方程(ADE)的性质和积分数值均值。这些方程是由一个多分布值问题(MDVP)控制的,这使得这个问题成为一个困难的数值问题,传统的求解方法无法解决。本文表明,由于Ck样条函数的性质,我们可以通过明智地选择初始向量和模拟退火方法来积分这类问题。将给出第一个模拟结果。
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