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Article

A Modified Phase-Locked Loop with Parameter Self-Tuning Used in the Sensorless Control of Permanent Magnet Synchronous Motors (PMSMs)

by
Chung-Wuu Ding
and
Pi-Cheng Tung
*
Department of Mechanical Engineering, National Central University, Taoyuan 32001, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(10), 1654; https://doi.org/10.3390/math13101654 (registering DOI)
Submission received: 20 March 2025 / Revised: 28 April 2025 / Accepted: 15 May 2025 / Published: 18 May 2025

Abstract

This paper proposes a sensorless field-oriented control (FOC) strategy for permanent magnet synchronous motors (PMSMs), focusing on rotor flux position estimation based on back-electromotive force (back-EMF) signals. The limitations of conventional phase-locked loop (PLL) techniques for rotor flux position estimation along the motor shaft are analyzed, and an enhanced PLL structure is developed to address these deficiencies.In electric vehicle traction applications, precise flux position estimation alone is insufficient; accurate generation of d–q-axis current commands is equally critical. To address this need, a zero-pole-free PI regulator is designed within the PLL module, enabling more accurate flux estimation. Additionally, a gradient-based self-tuning algorithm is employed to identify system parameters, particularly the stator inductance, enabling the controller to optimize current command generation.Comprehensive system-level simulations have been conducted to validate the effectiveness of the proposed sensorless control scheme. Comparative studies demonstrate that the proposed method significantly improves feasibility and robustness for practical PMSM drive applications.
Keywords: back-EMF estimator; parameter self-tuning; phase-locked loop; sensorlesscontrol; field weakening; electric vehicles back-EMF estimator; parameter self-tuning; phase-locked loop; sensorlesscontrol; field weakening; electric vehicles

Share and Cite

MDPI and ACS Style

Ding, C.-W.; Tung, P.-C. A Modified Phase-Locked Loop with Parameter Self-Tuning Used in the Sensorless Control of Permanent Magnet Synchronous Motors (PMSMs). Mathematics 2025, 13, 1654. https://doi.org/10.3390/math13101654

AMA Style

Ding C-W, Tung P-C. A Modified Phase-Locked Loop with Parameter Self-Tuning Used in the Sensorless Control of Permanent Magnet Synchronous Motors (PMSMs). Mathematics. 2025; 13(10):1654. https://doi.org/10.3390/math13101654

Chicago/Turabian Style

Ding, Chung-Wuu, and Pi-Cheng Tung. 2025. "A Modified Phase-Locked Loop with Parameter Self-Tuning Used in the Sensorless Control of Permanent Magnet Synchronous Motors (PMSMs)" Mathematics 13, no. 10: 1654. https://doi.org/10.3390/math13101654

APA Style

Ding, C.-W., & Tung, P.-C. (2025). A Modified Phase-Locked Loop with Parameter Self-Tuning Used in the Sensorless Control of Permanent Magnet Synchronous Motors (PMSMs). Mathematics, 13(10), 1654. https://doi.org/10.3390/math13101654

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