Magnetically Nonlinear Iron Core Characteristics of Transformers Determined by Differential Evolution

  • Gorazd Štumberger
  • Damir Žarko
  • Amir Tokic
  • Drago Dolinar
Part of the Studies in Computational Intelligence book series (SCI, volume 327)


An optimization based method for determining magnetically nonlinear iron core characteristics of transformers is proposed. The method requires a magnetically nonlinear dynamic model of the transformer as well as voltages and currents measured during the switch-on of unloaded transformer. The magnetically nonlinear iron core characteristic is in the model accounted for in the form of three different approximation functions. Their parameters are determined by the stochastic search algorithm called differential evolution. The optimization goal is to find those values of approximation functions parameters where the root mean square differences between measured and calculated currents are minimal. The impact of individual approximation functions on calculated dynamic responses of the transformer are evaluated by the comparison of measured and calculated results.


Differential Evolution Approximation Function Calculated Current Differential Evolution Algorithm Normal Operating Condition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Gorazd Štumberger
    • 1
  • Damir Žarko
    • 2
  • Amir Tokic
    • 3
  • Drago Dolinar
    • 1
  1. 1.Faculty of Electrical Engineering and Computer Science, SloveniaUniversity of MariborMariborSlovenia
  2. 2.Faculty of Electrical Engineering and ComputingUniversity of ZagrebCroatia
  3. 3.Faculty of Electrical EngineeringUniversity of TuzlaBosnia and Herzegovina

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