Simplified Quadratic Optimization based IPMSM Full-Speed Range Rotor Position Estimation in Synchronous Rotating Frame

Fei Peng, Zhi Cao, Jianning Dong, Yunkai Huang

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This article proposes a rotor position and speed estimation method for the interior permanent magnet synchronous machine (IPMSM) in the full-speed range. The proposed method is implemented in the synchronous rotating frame. Based on the voltage equation of the IPMSM in the synchronous rotating frame, a single-variable optimization problem is formulated to solve the rotor position at each current sampling step. After that, the solved position is fed into a phase-locked loop observer to obtain the estimated rotor speed and smooth out the estimation. The proposed position and speed estimation methods are effective from standstill to high speed, and no estimation algorithm switching is needed during speed variation. Details about the convexity of the optimization problem, the effects of parameter mismatch and sampling noise, and the solving method of the problem are discussed. Finally, experiments are conducted in both steady and dynamic situations to validate the effectiveness and robustness of the proposed algorithm.

Original languageEnglish
Article number9349110
Pages (from-to)1527 - 1536
Number of pages10
JournalIEEE Transactions on Transportation Electrification
Issue number3
Publication statusPublished - 2021

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Full speed range
  • interior permanent magnet synchronous machine (IPMSM)
  • optimization problem
  • position sensorless control


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