A resolver-to-digital conversion method based on third-order rational fraction polynomial approximation for PMSM control

Wang, Shuo; Kang, Jinsong; Degano, Michele; Buticchi, Giampaolo

Abstract

—In this paper, a cost-effective and highly accurate resolver-to-digital conversion (RDC) method is presented. The core of the idea is to apply a third-order rational fraction polynomial approximation (TRFPA) for the conversion of sinusoidal signals into the pseudo linear signals, which are extended to the range 0-360° in four quadrants. Then, the polynomial least squares method (PLSM) is used to achieve compensation to acquire the final angles. The presented method shows better performance in terms of accuracy and rapidity compared with the commercial available techniques in simulation results. This paper describes the implementation details of the proposed method and the way to incorporate it in digital signal processor (DSP) based permanent magnet synchronous motor (PMSM) drive system. Experimental tests under different conditions are carried out to verify the effectiveness for the proposed method. The obtained maximum error is about 0.0014° over 0-360° , which can usually be ignored in most industrial applications. Index Terms—Arc tangent function, Analog processing circuits, Pseudo linear signals, Resolver-to-digital conversion (RDC), Third-order rational fraction polynomial approximation (TRFPA).

Citation

Wang, S., Kang, J., Degano, M., & Buticchi, G. (2018). A resolver-to-digital conversion method based on third-order rational fraction polynomial approximation for PMSM control. IEEE Transactions on Industrial Electronics, 66(8), 6383-6392. https://doi.org/10.1109/TIE.2018.2884209

• Journal Article Type: Article
• Acceptance Date: Nov 13, 2018
• Online Publication Date: Dec 7, 2018
• Publication Date: Dec 7, 2018
• Deposit Date: Nov 30, 2018
• Publicly Available Date: Dec 3, 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: 66
• Issue: 8
• Pages: 6383-6392
• DOI: https://doi.org/10.1109/TIE.2018.2884209
• Keywords: Control and Systems Engineering; Electrical and Electronic Engineering
• Public URL: https://nottingham-repository.worktribe.com/output/1351451
• Publisher URL: https://ieeexplore.ieee.org/document/8566179
• 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.