Electrical-Angle-Partitioned SHEPWM for Field-Oriented Control of Permanent Magnet Synchronous Motor Drives at Low Carrier Ratios

When inverter switching frequency is constrained, PMSM drives operating at relatively high fundamental electrical frequencies may exhibit a low switching-to-fundamental-frequency ratio (low carrier ratio), resulting in fewer voltage vector updates per fundamental cycle and increased current ripple and low-order harmonics. To address the difficulty of synchronizing offline selective harmonic elimination PWM (SHEPWM) switching angles with a field-oriented control (FOC) current loop, this paper proposes an angle-synchronous FOC-SHEPWM implementation based on electrical angle partitioning. A quarter-wave-symmetric SHEPWM model is first established, and the switching angles are solved using Newton iteration and homotopy continuation. A Halton low-discrepancy initial value pool is then constructed. Combined with cumulative interval mapping, admissibility screening, and continuity assessment, it yields switching angle trajectories suitable for closed-loop look-up table implementation and extends the high-modulation-index range toward six-step operation. For online implementation, the ePWM period is updated according to the electrical angular speed, and the offline angles are mapped to intra-partition compare values. Counter-zero sampling, delay angle compensation, dynamic period correction, and fundamental current extraction are integrated to realize synchronized closed-loop pulse generation. The simulation and experimental results demonstrate the stable operation of the SHEPWM-N3, SHEPWM-N5, and SHEPWM-N7 patterns. At equal numbers of switching events, the proposed patterns exhibit lower low-order harmonic content and current total harmonic distortion than ASVPWM, while the fundamental current extraction and dynamic period correction methods reduce d-q-axis current ripple and partition synchronization error, respectively.

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Publication Details

Journal
Energies
Published
2026-09-21
DOI
https://doi.org/10.3390/en19184466
Primary Topic
Multilevel Inverters and Converters
Type
article
Field-Weighted Citation Impact
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article

Electrical-Angle-Partitioned SHEPWM for Field-Oriented Control of Permanent Magnet Synchronous Motor Drives at Low Carrier Ratios

Fengjiang Wu, Jianyong Su, Yang Bai
Energies
Multilevel Inverters and Converters
article

Electrical-Angle-Partitioned SHEPWM for Field-Oriented Control of Permanent Magnet Synchronous Motor Drives at Low Carrier Ratios

Fengjiang Wu, Jianyong Su, Yang Bai
article en

Abstract

When inverter switching frequency is constrained, PMSM drives operating at relatively high fundamental electrical frequencies may exhibit a low switching-to-fundamental-frequency ratio (low carrier ratio), resulting in fewer voltage vector updates per fundamental cycle and increased current ripple and low-order harmonics. To address the difficulty of synchronizing offline selective harmonic elimination PWM (SHEPWM) switching angles with a field-oriented control (FOC) current loop, this paper proposes an angle-synchronous FOC-SHEPWM implementation based on electrical angle partitioning. A quarter-wave-symmetric SHEPWM model is first established, and the switching angles are solved using Newton iteration and homotopy continuation. A Halton low-discrepancy initial value pool is then constructed. Combined with cumulative interval mapping, admissibility screening, and continuity assessment, it yields switching angle trajectories suitable for closed-loop look-up table implementation and extends the high-modulation-index range toward six-step operation. For online implementation, the ePWM period is updated according to the electrical angular speed, and the offline angles are mapped to intra-partition compare values. Counter-zero sampling, delay angle compensation, dynamic period correction, and fundamental current extraction are integrated to realize synchronized closed-loop pulse generation. The simulation and experimental results demonstrate the stable operation of the SHEPWM-N3, SHEPWM-N5, and SHEPWM-N7 patterns. At equal numbers of switching events, the proposed patterns exhibit lower low-order harmonic content and current total harmonic distortion than ASVPWM, while the fundamental current extraction and dynamic period correction methods reduce d-q-axis current ripple and partition synchronization error, respectively.

EnergiesVol. 19(18)
Harbin Institute of Technology (CN)
Affordable and clean energy
Openalex Percentile: Top 20%
Multilevel Inverters and Converters
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Electrical-Angle-Partitioned SHEPWM for Field-Oriented Control of Permanent Magnet Synchronous Motor Drives at Low Carrier Ratios — Fengjiang Wu, Jianyong Su, et al. · Energies (2026) | TGRS Research Map | TGRS