Space vectors and pseudo inverse matrix methods for the radial force control in bearingless multi-sector permanent magnet machines

Sala, Giacomo; Valente, Giorgio; Formentini, Andrea; Papini, Luca; Gerada, David; Zanchetta, Pericle; Tani, A.; Gerada, C.

Abstract

Two different approaches to characterize the torque and radial force production in a Bearingless Multi-Sector Permanent Magnet (BMSPM) machine are presented in this work. The first method consists of modelling the motor in terms of torque and force production as a function of the stationary reference frame α-β currents. The current control reference signals are then evaluated adopting the Joule losses minimization as constrain by means of the pseudo inverse matrix. The second method is based on the control of the magnetic field harmonics in the airgap through the current Space Vector (SV) technique. Once the magnetic field harmonics involved in the torque and force production are determined, the SV transformation can be defined to obtain the reference current space vectors. The methods are validated by numerical simulations, Finite Element Analysis (FEA) and experimental tests. The differences in terms of two Degrees of Freedom (DOF) levitation performance and efficiency are highlighted in order to give the reader an in-depth comparison of the two methods.

Citation

Sala, G., Valente, G., Formentini, A., Papini, L., Gerada, D., Zanchetta, P., Tani, A., & Gerada, C. (2018). Space vectors and pseudo inverse matrix methods for the radial force control in bearingless multi-sector permanent magnet machines. IEEE Transactions on Industrial Electronics, 65(9), 6912-6922. https://doi.org/10.1109/TIE.2018.2795590

• Journal Article Type: Article
• Acceptance Date: Jan 1, 2018
• Online Publication Date: Jan 28, 2018
• Publication Date: Sep 1, 2018
• Deposit Date: Mar 14, 2018
• Publicly Available Date: Mar 14, 2018
• Journal: IEEE Transactions on Industrial Electronics
• Print ISSN: 0278-0046
• Electronic ISSN: 1557-9948
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 65
• Issue: 9
• Pages: 6912-6922
• DOI: https://doi.org/10.1109/TIE.2018.2795590
• Keywords: Analytical models, Displacement control, Force control, Machine vector control, Magnetic levitation, Permanent Magnet machines
• Public URL: https://nottingham-repository.worktribe.com/output/949551
• Publisher URL: http://ieeexplore.ieee.org/document/8264739/
• Additional Information: © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including; reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
• Contract Date: Mar 14, 2018