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

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 contro...

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Bibliographic Details
Published in:Energies (Basel) 2022-10, Vol.15 (19), p.7259
Main Authors: Steyaert, Bernard, Swint, Ethan, Pennington, W. Wesley, Preindl, Matthias
Format: Article
Language:English
Subjects:
Accuracy
Analysis
Controllers
Data points
Fluctuations
flux estimation
Inductance
Magnetic flux
Magnets, Permanent
motor parameters
Parameter estimation
Permanent magnets
permanent-magnet synchronous machines
piecewise linear techniques
Robust control
Saturation
State space models
Synchronous machines
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Summary: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.
ISSN:1996-1073
1996-1073
DOI:10.3390/en15197259