Detailed modeling of eddy current effects for transformer transients

Francisco de León, Adam Semlyen

Research output: Contribution to journalArticlepeer-review


A detailed time domain model for the eddy current losses in the windings of a transformer is presented. The basic elements for the derivation of the model are the turns which may be combined into sections. The model is expressed as an R-matrix. Its diagonal elements were fitted using a series Foster circuit while for the off-diagonal elements we used the basis functions of the Foster circuits to derive the time domain model in the form of state equations. For validation, the losses computed with the detailed model are compared with those obtained by considering full windings. The frequency response of the transformer model is compared with test results. Simulations are presented for illustration and further validation.

Original languageEnglish (US)
Pages (from-to)1143-1150
Number of pages8
JournalIEEE Transactions on Power Delivery
Issue number2
StatePublished - Apr 1994


  • Eddy currents
  • Electromagnetic transients
  • State equation approximation
  • Transfer function matrices
  • Transformer modeling

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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