Impact of Torque Ripple Induced Angular Oscillations on Maxwell Pressure Harmonics in Permanent-Magnet Synchronous Machines
Abstract
Torque ripple in electrical machines is a wellknown source of noise and vibration. While numerous studies focus on control strategies to mitigate this ripple, the feedback mechanism by which the resulting mechanical oscillations influence the electromagnetic forces remains less explored. This paper presents a detailed investigation into the impact of torque ripple on the rotor angular dynamics and the subsequent generation of new harmonics in the Maxwell pressure distribution. We first develop an analytical model for a rigid rotor subjected to a single torque harmonic, revealing the inherently non-linear nature of the angular response. This analysis demonstrates the creation of new harmonics in the rotor motion and a slight reduction in the mean rotational speed. The study is then extended to a flexible rotor model incorporating torsional modes, solved using the Finite Element Method. Finally, we introduce a strongly coupled magneto-mechanical model, based on the subdomain method, to quantify how these rotor oscillations modulate the air-gap magnetic field. The results show a new modulated spatio-temporal harmonic distribution in the Maxwell pressure spectrum, which is not predicted by conventional uncoupled models. These findings are crucial for high-fidelity Noise, Vibration, and Harshness (NVH) analysis, as these additional pressure waves can excite stator structural modes.
Related
- Inverter control for wind–solar–storage based on distributed generation and virtual synchronous machines
- Probabilistic Simulation of Gas-Liquid Interfaces with Coupled Flow Matching on Spherical Harmonics
- Phase-Sensitive Heterodyne Detection of MW using EIT Harmonics in Rydberg Atoms
- Scalar Laplace-Beltrami harmonics and curvature-induced radial mode mixing in Friedmann-like cosmologies
- Bound States in the Continuum and Unidirectional Guided Resonances Enabled by Competing Fourier Harmonics near the Fourth Stop Band
BibTeX
@misc{poupon2026impact,
title = {{Impact of Torque Ripple Induced Angular Oscillations on Maxwell Pressure Harmonics in Permanent-Magnet Synchronous Machines}},
author = {Thomas Poupon and Arthur Givois and Vincent Lanfranchi and Jean-Daniel Chazot and Tahar Hamiti},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29529},
eprint = {2610.29529},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29529},
}
RIS
TY - UNPB
TI - Impact of Torque Ripple Induced Angular Oscillations on Maxwell Pressure Harmonics in Permanent-Magnet Synchronous Machines
AU - Thomas Poupon
AU - Arthur Givois
AU - Vincent Lanfranchi
AU - Jean-Daniel Chazot
AU - Tahar Hamiti
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29529
UR - https://arxiv.org/abs/2610.29529
AB - Torque ripple in electrical machines is a wellknown source of noise and vibration. While numerous studies focus on control strategies to mitigate this ripple, the feedback mechanism by which the resulting mechanical oscillations influence the electromagnetic forces remains less explored. This paper presents a detailed investigation into the impact of torque ripple on the rotor angular dynamics and the subsequent generation of new harmonics in the Maxwell pressure distribution. We first develop an analytical model for a rigid rotor subjected to a single torque harmonic, revealing the inherently non-linear nature of the angular response. This analysis demonstrates the creation of new harmonics in the rotor motion and a slight reduction in the mean rotational speed. The study is then extended to a flexible rotor model incorporating torsional modes, solved using the Finite Element Method. Finally, we introduce a strongly coupled magneto-mechanical model, based on the subdomain method, to quantify how these rotor oscillations modulate the air-gap magnetic field. The results show a new modulated spatio-temporal harmonic distribution in the Maxwell pressure spectrum, which is not predicted by conventional uncoupled models. These findings are crucial for high-fidelity Noise, Vibration, and Harshness (NVH) analysis, as these additional pressure waves can excite stator structural modes.
ER -