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Piecewise Affine Magnetic Modeling of Permanent-Magnet Synchronous Machines for Virtual-Flux Control

Author

Listed:
  • Bernard Steyaert

    (Department of Electrical Engineering, Columbia University, New York, NY 10027, USA)

  • Ethan Swint

    (Tau Motors, Inc.; Redwood City, CA 94063, USA)

  • W. Wesley Pennington

    (Tau Motors, Inc.; Redwood City, CA 94063, USA)

  • Matthias Preindl

    (Department of Electrical Engineering, Columbia University, New York, NY 10027, USA)

Abstract

Accurate flux linkage magnetic models are essential for virtual-flux controllers in PMSMs. Flux linkage exhibits saturation and cross-saturation at high currents, introducing nonlinearities into the machine model. Virtual-flux controllers regulate the flux of a machine by using field-oriented control, such as model predictive control. In this study, a methodology for creating a piecewise affine flux linkage magnetic model is proposed which locally linearizes the inductance and flux offset of the machine. This method keeps the magnetic model and thus the state-space model of the system linear while capturing the saturation effects, enabling robust controls and efficient operation. The model is created using FEA-simulated data points and verified with experimental datapoints. An algorithm to optimize the model in MTPA and derated operation is presented with an average flux error less than 1 % and maximum error less than 3 % using only 40 points. This represents a ≈ 1–3% and ≈5–8% reduction in the average and maximum flux errors compared with a regularly gridded model, respectively.

Suggested Citation

  • Bernard Steyaert & Ethan Swint & W. Wesley Pennington & Matthias Preindl, 2022. "Piecewise Affine Magnetic Modeling of Permanent-Magnet Synchronous Machines for Virtual-Flux Control," Energies, MDPI, vol. 15(19), pages 1-14, October.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:19:p:7259-:d:932431
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