Small-Signal Modeling of Mutual Saturation in Induction Machines

Marko Hinkkanen, Anna-Kaisa Repo, Mikaela Ranta, Jorma Luomi

Research output: Contribution to journalArticleScientificpeer-review


A small-signal model is derived for saturated induction machines. Inductances are allowed to saturate as a function of their own current (or flux), and the mutual saturation effect originating mainly from skewed or closed rotor slots is also included in the model. The model fulfills the reciprocity conditions, and it can be applied to parameter identification and to the analysis and development of flux-angle estimation methods. As application examples, the parameters of a 2.2-kW induction machine were identified using the data obtained from time-stepping finite-element analysis and locked-rotor measurements. The proposed model fits well to the data, and the fitted parameters are physically reasonable.
Original languageEnglish
Article number5439915
Pages (from-to)965-973
Number of pages9
JournalIEEE Transactions on Industry Applications
Issue number3
Publication statusPublished - 1 Jun 2010
MoE publication typeA1 Journal article-refereed


  • Induction machines
  • Magnetic anisotropy
  • Perpendicular magnetic anisotropy
  • Magnetic flux
  • Saturation magnetization
  • Magnetic circuits
  • Parameter estimation
  • Induction motors
  • Magnetic analysis
  • Rotors


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