Finite-element surrogate model for electric machines with revolving field-application to IPM motors

Dan M. Ionel, Mircea Popescu

Research output: Contribution to journalArticlepeer-review

67 Scopus citations


The model allows the ultrafast nonlinear simulation of the steady-state performance of synchronous machines and is particularly suitable for brushless motors with nonoverlapping windings having coils concentrated around the teeth. Finite-element analysis (FEA) is employed only for calculating the magnetic vector potential in the coils, and the motor performance is then estimated through analytical formulas. For the example interior-permanent-magnet motors presented, as little as one magnetostatic finite-element (FE) solution was used for the fundamental flux linkage and average torque computation. Two FE solutions were employed for the core flux density waveforms and power loss estimation. A minimum of three solutions is recommended for the torque ripple, back electromotive force, and induced voltage. A substantial reduction of one to two orders of magnitude was achieved for the solving time as compared with the detailed time-stepping FEA. The surrogate FE model can also be tuned for increased speed, comparable with that of magnetic equivalent circuit solvers. The general applicability of the model is discussed, and recommendations are provided. Successful validation was performed against the detailed FEA and experiments.

Original languageEnglish
Article number5580086
Pages (from-to)2424-2433
Number of pages10
JournalIEEE Transactions on Industry Applications
Issue number6
StatePublished - Nov 2010


  • AC synchronous machine
  • back electromotive force (EMF)
  • brushless (BL)
  • concentrated coils
  • core loss
  • finite-element analysis (FEA)
  • flux density waveform
  • interior permanent-magnet (IPM) motor drive
  • iron loss
  • nonoverlapping windingpermanent-magnet (PM) motor

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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