Unified Models for Coupled Inductors Applied to Multiphase PWM Converters

Minjie Chen, Charles Sullivan

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


Circuit models for multiphase coupled inductors are summarized, compared, and unified. Multiwinding magnetic structures are classified into parallel-coupled structures and series-coupled structures. For parallel-coupled structures used for multiphase inductors, the relationships between: 1) inductance-matrix models, 2) extended cantilever models, 3) magnetic-circuit models, 4) multiwinding transformer models, 5) gyrator-capacitor models, and 6) inductance-dual models are examined and discussed. These models represent identical physical relationships in the multiphase coupled inductors, but emphasize different physical aspects and offer distinct design insights. The circuit duality between the series-coupled structure and the parallel-coupled structure is explored. Design equations for interleaved multiphase buck converters based on these models are streamlined and summarized, and a simplified equation showing the relationships between current ripple with and without coupling is presented. The models and design equations are verified through theoretical derivation, SPICE simulation, and experimental measurements.

Original languageEnglish (US)
Article number9449968
Pages (from-to)14155-14174
Number of pages20
JournalIEEE Transactions on Power Electronics
Issue number12
StatePublished - Dec 2021

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


  • Coupled inductor
  • inductance-dual model
  • interphase transformer
  • lumped circuit model
  • magnetic-circuit model
  • multiphase buck converter
  • multiwinding transformer


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