Dual three-winding transformer equivalent circuit matching leakage measurements

Francisco de Leòn, Juan A. Martinez

Research output: Contribution to journalArticlepeer-review


An equivalent circuit for the leakage inductance of three-winding transformers is presented. The model is derived from the principle of duality (between electric and magnetic circuits) and matches terminal-leakage inductance measurements. The circuit consists of a set of mutually coupled inductances and does not contain negative inductances. Each inductance can be computed from both: the geometrical information of the windings and from terminal-leakage measurements taking two windings at a time. The few model is suitable for steady state, electromechanical transients, and electromagnetic transient studies. The circuit can be assembled in any circuit simulation program, such as EMTP, PSPICE, etc. programs, using standard mutually coupled inductances.

Original languageEnglish (US)
Pages (from-to)160-168
Number of pages9
JournalIEEE Transactions on Power Delivery
Issue number1
StatePublished - 2009


  • Electromagnetic Transients Program (EMTP)
  • Electromagnetic transients
  • Equivalent circuit
  • Negative inductance
  • Principle of duality
  • Three-winding transformers
  • Transformer leakage inductance

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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