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Analytical Modelling of Current Sharing and Eddy Current Losses in PCB Windings of Stacked Transformers

机译:堆叠式变压器PCB绕组中均流和涡流损耗的分析模型

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This paper establishes mathematical models to analyze uneven current sharing behaviors among paralleled secondary PCB windings and eddy current losses in stacked transformers proposed for high-efficiency LLC resonant converters. Decomposition of the models simplifies the complex individual current calculation of paralleled PCB windings by exciting each of the interleaved primary windings separated. The current sharing is then calculated based on the leakage flux passing through the loop formed by analyzed paralleled PCB windings. The observation that how the biased magnetic-motive force (MMF) affects the current sharing behaviors are quantitatively explained, respectively, in one-stack, two-stack and modular four-stack transformer structures. The eddy current losses are analyzed according to the uneven shared currents among the paralleled PCB windings and with a particular consideration of a distance factor between the primary and secondary windings. Although the modelling is based on 1-D assumption, the analytical prediction matches 3-D finite-element analysis (FEA) simulation results well, verifying the accuracy.
机译:本文建立了数学模型,以分析并联的次级PCB绕组之间不均匀的电流分配行为以及为高效LLC谐振转换器提出的堆叠式变压器中的涡流损耗。通过分解每个交错的初级绕组,模型的分解简化了并联PCB绕组的复杂个体电流计算。然后,基于通过分析的并联PCB绕组形成的环路的漏磁通来计算均流。分别定量地解释了单层,两层和模块化四层变压器结构中偏磁电动势(MMF)如何影响均流行为的观察结果。根据并联的PCB绕组之间不均匀的共享电流,并特别考虑初级绕组和次级绕组之间的距离系数,来分析涡流损耗。尽管建模基于1-D假设,但分析预测与3-D有限元分析(FEA)仿真结果非常匹配,从而验证了准确性。

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