Edge Coil Force Fitting and Current Optimal Commutation Algorithm for Magnetic Levitation Planar Motor With Moving Magnet

Haobo Sun, Yu Zhu, Kaiming Yang, Sen Lu
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Abstract

In this paper, edge coils are added to the commutation algorithm of the coil array. In order to reduce the theoretical modeling error of the edge coil force, a method of edge coil force fitting based on radial basis function (RBF) network is proposed. The obtained attenuation function of edge force can replace the weighting function in the switching algorithm, so it can effectively reduce the current density of the central coils and the heat loss power of the coil array. On this basis, a non-iterative current optimal commutation algorithm is proposed. The algorithm takes the weighted sum of the 2-norm of the coil current and the 2-norm of the difference between the coil current and the saturation current as the optimization objective, and obtains the analytical expression of the instantaneous current by solving the Karush Kuhn Tucker (KKT) equation. The results of simulation show that, compared with the direct decoupling algorithm with weighting function, the proposed commutation algorithm can reduce the heat loss power of the coil array and allow the translator to provide greater acceleration under the same maximum current limitation.
动磁体悬浮平面电机边缘线圈力拟合及电流优化换相算法
本文在线圈阵列的换流算法中加入了边缘线圈。为了减小边缘线圈力的理论建模误差,提出了一种基于径向基函数(RBF)网络的边缘线圈力拟合方法。得到的边力衰减函数可以代替开关算法中的加权函数,从而有效地降低中心线圈的电流密度和线圈阵列的热损失功率。在此基础上,提出了一种非迭代电流最优换易算法。该算法以线圈电流2范数与线圈电流与饱和电流之差2范数的加权和为优化目标,通过求解Karush Kuhn Tucker (KKT)方程得到瞬时电流的解析表达式。仿真结果表明,与带加权函数的直接解耦算法相比,所提出的换流算法可以降低线圈阵列的热损失功率,并在相同的最大电流限制下使转换器提供更大的加速度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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