An Electromagnetic Design of Slotless Variable Reluctance PM-Resolver

Mohammad Bahari, Farid Tootoonchian, Amin Mahmoudi

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


This paper proposes a novel design of the variable reluctance permanent magnet (VRPM) resolvers. It utilizes a slotless stator to reduce the resolver volume. The proposed design overcomes the complex structure of windings by replacing them with magnetic flux measurement units (MFMU). The new design eliminates the computationally-expensive demodulation process of output signals by relying on none-modulated signals. An analytical model based on the nonlinear magnetic equivalent circuit (MEC) method is used to extract the output signals of the proposed resolver design. The accuracy of applied analytical model is verified against the time-stepping finite-element method (TSFEM). An optimization is implemented to best improve the resolver performance by saturating the stator ribs targeting a minimum possible PM volume. The design aims high flux density of iron to make the resolver robust against external distortions, but at the same time, the flux density of core is kept within the linear region of the B-H curve to avoid saturation. TSFEM is used to further analyze the performance of the optimal slotless VRPM-Resolver in details. The simulation results are verified by experimental tests on a prototyped resolver design.

Original languageEnglish
Pages (from-to)5336-5346
Number of pages11
Issue number5
Publication statusPublished - 1 May 2023


  • Analytical models
  • Electromagnetic sensor
  • hall-effect sensor
  • Magnetic flux
  • multi-objective optimization
  • Optimization
  • permanent magnet (PM)
  • PM-resolver
  • Rotors
  • Signal resolution
  • Stator windings
  • time-stepping finite-element method (TSFEM)
  • variable reluctance (VR) resolver
  • Windings
  • Hall-effect sensor
  • multiobjective optimization


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