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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


Shuo Wang

Jinsong Kang

Professor of Advanced Electrical Machines

Giampaolo Buticchi


—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).


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.

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
Keywords Control and Systems Engineering; Electrical and Electronic Engineering
Public URL
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A Resolver-to-Digital Conversion Method Based On Third-order Rational Fraction Polynomial Approximation For PMSM Control (2.2 Mb)

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