高速永磁电机铁耗精确计算两项式模型

A Two-term Model for Accurate Calculation on Iron Losses of High-speed Permanent Magnet Motors

基于分段带补偿项的铁耗计算方法,本文提出了一种适用于高速永磁电机铁耗精确计算的两项式数学模型。通过结合高速电机运行特性对频率和磁密区间进行双重划分,在Jordan损耗分离模型的基础上引入涡流及磁滞损耗补偿项考虑磁饱和、局部磁滞回环及涡流趋肤效应等非线性因素对硅钢片单位损耗特性的影响。该模型新增参数均为随频率和磁密变化的分段常函数,通过L-M算法拟合求解,在减小计算量的同时明确反映铁磁材料非线性对铁耗计算的影响,实现铁耗精确计算。最后,以某高速电机用硅钢片35SWH1900为例,对比了本文所提模型与Jordan损耗分离模型在单位损耗上的计算误差,实验结果表明所提模型计算误差基本在15%以内,能够有效提升高速永磁电机铁耗的计算精度。

Based on the segmented iron losses calculation method with compensation term,this paper proposed a two-term mathematical model suitable for the accurate calculation of iron losses of high-speed permanent magnet motors.By combining the operating characteristics of high-speed motors,the frequency and magnetic density intervals were divided,and on the basis of the Jordan’s iron loss model,eddy current and hysteresis loss compensation terms were introduced to consider the effects of magnetic saturation,local hysteresis loops,skinning effect and other nonlinear factors on the unit loss characteristics of silicon steel sheets.The new parameters of the model were all segmented constant functions varying with frequency and magnetic density,which were solved by the L-M algorithm to reduce the computational volume while explicitly reflecting the influence of ferromagnetic material’s nonlinearities on the calculation of iron losses,so as to realise the accurate calculation of iron losses.Finally,taking a high-speed motor with silicon steel wafer 35SWH1900 as an example,compared the calculation error of the proposed model with that of the Jordan’s model in the unit loss,and the experimental results showed that the calculation error of the proposed model is basically within 15%,it can effectively improve the calculation accuracy of the iron losses of high-speed permanent magnet motors.