Nonlinear Analytical Model of an Inductance Considering Saturation and Temperature Variation

Gurleyen H., MEŞE E. , KİM J. H. , ŞARLIOĞLU B.

9th Annual IEEE Energy Conversion Congress and Exposition (ECCE), Ohio, United States Of America, 1 - 10 October 2017, pp.3150-3154 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/ecce.2017.8096573
  • City: Ohio
  • Country: United States Of America
  • Page Numbers: pp.3150-3154


This paper presents an analytical model of air gapped inductor considering the nonlinear magnetic behavior of the core along with temperature variation. First, a nonlinear magnetic behavior is represented by a mathematical function, which contains three coefficients and defines magnetic flux density (B) as a function of magnetic field strength (H). Using Matlab curve fitting toolbox, these coefficients are defined as a function of temperature. After that, B and H relation is transformed into magneto motive force (MMF) and flux relation by the geometry of the core. This procedure yields a magnetic equivalent circuit. The nonlinear equation is solved by LambertW function. Validation of the proposed model is proved by fmite element analysis (FEA).