More compact Switch-Mode Power Supplies (SMPSs) satisfying typical design specifications can be obtained by exploiting ferrite core inductors working in partial saturation. In this case, the inductance is no longer a constant parameter, since it exhibits a sharp drop as the inductor current increases. A behavioral model was recently proposed, which provides the inductance at steady state as a function of easy-to-measure quantities. Here, a generalization of this model is presented, in order to capture the inductance behavior also during thermal transients. The model fitting to experimental measurements relies on an iterative optimization procedure grounding on accurate SMPS simulations based on shooting analysis. The model validation exploits the envelope analysis method, particularly suitable for slow-fast systems. The obtained fitting results show a good agreement with experimental data both in transient conditions (after sudden variation of the SMPS operating condition) and at steady state. Finally, by partially re-identifying the model based on data measured when the inductor is cooled with a fan, we still obtain a good matching between model and experimental data.

中文翻译：

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能够重现开关模式电源中的热瞬变的非线性行为铁氧体磁芯电感模型

通过利用工作在部分饱和状态的铁氧体磁芯电感器，可以获得满足典型设计规范的更紧凑的开关模式电源 (SMPS)。在这种情况下，电感不再是一个常数参数，因为它会随着电感电流的增加而急剧下降。最近提出了一种行为模型，该模型提供稳态下的电感作为易于测量的量的函数。在这里，介绍了该模型的一般化，以便在热瞬态期间也捕获电感行为。拟合实验测量的模型依赖于基于射击分析的精确 SMPS 模拟的迭代优化程序。模型验证采用包络分析方法，特别适用于慢速系统。获得的拟合结果表明，在瞬态条件下（在 SMPS 运行条件突然变化后）和稳态下，与实验数据都具有良好的一致性。最后，通过基于风扇冷却电感器时测量的数据部分重新识别模型，我们仍然获得模型与实验数据之间的良好匹配。