Unified Models for Multiphase Coupled Inductors
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Circuit models for multiwinding coupled magnetics are summarized, compared, and unified. Multiwinding coupled magnetics are classified into parallel coupled structure and series coupled structure. For parallel coupled structure, the relation- ships between a) inductance matrix model, b) extended cantilever model, c) magentic circuit model, d) multiwinding transformer model, e) gyrator-capacitor model, and f) inductance dual model are investigated and discussed. These models represent identical physical relationships in the multiphase coupled magnetics, but show different fundamental principles and offer distinct design insights. The circuit duality between the series coupled structure and parallel coupled structure is revealed. Design equations linking these models are compared and unified. The models and design equations are verified through theoretical derivation, SPICE simulation, and experimental measurements.