This article investigates the matrix coupled “all-in-one” magnetic structure that combines both series coupling and parallel coupling for pulse-width modulated (PWM) power conversion. A systematic analysis of the current ripple reduction mechanism is performed. Current ripple steering among asymmetric series coupled windings is discussed. The transient performance of the matrix coupled inductor is demystified, providing insights for analyzing converter dynamics and its large- or small-signal modeling. To quantify the benefits of matrix coupling, a figure of merit is defined by comparing the current ripple of a matrix coupled inductor to that of a discrete inductor given the same transient speed. The comparison results indicate that a higher number of phases and a stronger matrix coupling coefficient amplify the benefits of matrix coupling. A 1 V-to-5 V input, 1 V-to-5 V output, four-phase matrix coupled synchronous SEPIC converter with planar PCB integrated magnetics is built and tested. The matrix coupled SEPIC prototype can support load current up to 185 A at 5 V-to-1 V voltage conversion with a maximum power density over 470 W/in $^\text{3}$ . Compared to commercial discrete inductors, the matrix coupled inductor has a 5.6 times smaller size and 8.5 times faster transient speed with similar current ripple and current rating. The experimental results validate the matrix coupling concept and the theoretical analysis, opening the possibilities toward wide adoption of ‘‘all-in-one-magnetics” in PWM topologies.

中文翻译：

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用于 PWM 功率转换的矩阵耦合多合一磁体

本文研究了矩阵耦合“一体式”磁结构，该结构结合了串联耦合和并联耦合，用于脉宽调制 (PWM) 功率转换。对电流纹波降低机制进行了系统分析。讨论了不对称串联耦合绕组之间的电流纹波转向。矩阵耦合电感器的瞬态性能被揭开神秘面纱，为分析转换器动态及其大信号或小信号建模提供了见解。为了量化矩阵耦合的好处，通过比较矩阵耦合电感器的电流纹波与给定相同瞬态速度的分立电感器的电流纹波来定义品质因数。比较结果表明，更多的相数和更强的矩阵耦合系数放大了矩阵耦合的好处。构建并测试了一个 1 V 至 5 V 输入、1 V 至 5 V 输出、四相矩阵耦合同步 SEPIC 转换器，该转换器具有平面 PCB 集成磁性元件。矩阵耦合 SEPIC 原型可在 5 V 至 1 V 电压转换时支持高达 185 A 的负载电流，最大功率密度超过 470 W/in $^\文本{3}$ . 与商用分立电感器相比，矩阵耦合电感器的尺寸小 5.6 倍，瞬态速度快 8.5 倍，电流纹波和电流额定值相似。实验结果验证了矩阵耦合概念和理论分析，为在 PWM 拓扑中广泛采用“多合一磁性”开辟了可能性。