【摘要】 磁性元件在电力电子设备中广泛应用，其磁芯损耗的精确预测对系统效率优化和热管理至关重要。传统斯坦麦茨方程未将温度变量纳入考量，在本质上难以刻画磁芯损耗随温度变化的非线性关系，因而在宽温域条件下的应用存在固有局限。为提高斯坦麦茨方程的预测精度，首先，在斯坦麦茨方程的基础上，利用数据分析手段估计温度如何影响磁芯损耗的变化，进而将温度融入斯坦麦茨方程。然后提出了一种单纯形法对改进的斯坦麦茨方程进行参数寻优的方法。通过设计并引入温度变量之后，构建了目标损失函数和误差损失函数，通过单纯形法进行参数寻优。通过误差损失函数结果和最优参数结果的对比，验证了温度改进斯坦麦茨方程的合理性和鲁棒性。最后，通过灵敏度分析验证了引入温度提升了斯坦麦茨方程输出结果的重要性和准确性。更多还原

【Abstract】 Magnetic components are widely used in power electronic equipment. Accurate prediction of core loss is considered crucial for system efficiency optimization and thermal management. However, the traditional Steinmetz equation does not incorporate the temperature variable. It inherently fails to characterize the nonlinear relationship between core loss and temperature variations. Thus, inherent limitations are presented when the equation is applied under wide temperature range conditions. To improve the prediction accuracy of the Steinmetz equation, firstly, temperature was integrated into the model based on data analysis. The effect of temperature on core loss variation was estimated. Then, a simplex method was proposed for parameter optimization of the modified Steinmetz equation. After the temperature variable was designed and introduced, objective and error loss functions were constructed. Parameter optimization was performed using the simplex method. The reasonableness and robustness of the temperature-modified Steinmetz equation were verified through comparison between the error loss function results and the optimal parameters. Finally, sensitivity analysis confirmed that the introduction of temperature enhanced the significance and accuracy of the output from the Steinmetz equation.更多还原