Analysis of Electromagnetic, Thermal, and Vibro-Acoustic Behavior in Permanent Magnet (PM) Motors

A special issue of Machines (ISSN 2075-1702). This special issue belongs to the section "Electrical Machines and Drives".

Deadline for manuscript submissions: 31 October 2026 | Viewed by 1384

Editors


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Guest Editor
School of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, China
Interests: motor; vibration
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E-Mail Website
Guest Editor
School of Electrical Engineering, Beijing Jiaotong University, Beijing 100044, China
Interests: thermal analysis and control of permanent magnet motor system
School of Electrical Engineering and Automation, Anhui University, Hefei 230601, China
Interests: permanent magnet machine design; analysis and optimization
School of Electrical Engineering, Anhui Polytechnic University, Wuhu 241000, China
Interests: design and control of PM machines and hybrid excitation electric machines for aircraft power and electric vehicles

Special Issue Information

Dear Colleagues,

The comprehensive analysis of electromagnetic, thermal, and vibro-acoustic behavior in Permanent Magnet (PM) motors is of paramount significance in modern engineering, driven by the global push for electrification and higher performance standards. This multi-physics approach is not merely an academic exercise but a critical engineering practice for developing superior, competitive, and reliable products.

Firstly, the electromagnetic design is the origin of all forces. It dictates the motor's torque density, efficiency, and crucially, the electromagnetic forces (e.g., radial and tangential forces) that act on the stator structure. These forces, particularly harmonics at specific frequencies, are the primary excitations for vibration and noise. An optimized electromagnetic design minimizes these force harmonics, tackling the noise problem at its source.

However, these electromagnetic phenomena are intrinsically linked to thermal effects. High current densities and alternating magnetic fields generate losses, leading to temperature rise. This heat significantly impacts material properties: permanent magnets can irreversibly demagnetize, and the electrical resistivity of windings increases, reducing efficiency. Furthermore, thermal expansion alters critical air-gap dimensions, which in turn affects the electromagnetic forces and acoustic performance. A thermal analysis alone is insufficient without understanding its electromagnetic causes and mechanical consequences.

Finally, the structural response to electromagnetic forces, under thermal stresses, determines the final noise output. Vibro-acoustic analysis simulates how the motor's structure—stator, housing, and rotor—vibrates and radiates sound. A design with low electromagnetic force harmonics can still be noisy if its structural natural frequencies coincide with these excitation forces, causing resonance.

Therefore, the integrated electromagnetic-thermal-vibro-acoustic analysis is indispensable. It enables a holistic design optimization, ensuring high efficiency and torque while guaranteeing low-noise operation, mechanical integrity, and thermal reliability. This leads to products that are not only more powerful and efficient but also quieter, smoother, longer-lasting, and more comfortable for the end-user, which is a decisive competitive advantage in markets from electric vehicles to consumer appliances and industrial automation.

Dr. Jianfeng Hong
Prof. Dr. Junci Cao
Dr. Ya Li
Dr. Chen Wang
Guest Editors

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Keywords

  • permanent magnet machines
  • vibration and noise
  • optimal design
  • thermal analysis

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Published Papers (2 papers)

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Research

16 pages, 3246 KB  
Article
Analytical Modeling and Analysis of High-Torque-Density Three-Segment Halbach Array PM Machine by Considering Leakage Flux
by Jinlin Huang, Qingfeng Sun and Chen Wang
Machines 2026, 14(6), 683; https://doi.org/10.3390/machines14060683 - 12 Jun 2026
Viewed by 420
Abstract
Conventional finite element method (FEM) has a complex model and a long optimization time for Halbach array PM machines. This paper proposes a hybrid analytical method that combines the subdomain method (SM) and the magnetic circuit method (MEC) for analyzing a high-torque-density, three-segment [...] Read more.
Conventional finite element method (FEM) has a complex model and a long optimization time for Halbach array PM machines. This paper proposes a hybrid analytical method that combines the subdomain method (SM) and the magnetic circuit method (MEC) for analyzing a high-torque-density, three-segment Halbach array rotor permanent magnet (PM) machine, accounting for Halbach array magnetization and end leakage flux. Firstly, to address the challenge posed by complex PM shapes in the Halbach array PM machine, a novel subdivision equivalence method is conducted. Then, the magnetic equivalent circuit (MEC) of the stator and rotor is established, and the axial leakage flux and nonlinearity of the iron core are taken into account. In addition, electromagnetic performance, such as air gap flux density, cogging torque, electromagnetic torque, and back electromotive force (back-EMF), is obtained based on the proposed hybrid analytical model. The analytical results are verified by using the finite element method (FEM), and the results show that the error is less than 2%. Finally, a 15 kW prototype PM machine with a Halbach array PM rotor is manufactured and tested, and the results validate the accuracy and efficiency of the analytical method. Full article
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18 pages, 7201 KB  
Article
Multi-Objective Optimization and Experimental Verification of a High-Speed Amorphous Stator Permanent Magnet Synchronous Motor for Hydrogen Compression
by Rujun Li, Junci Cao, Dong Li, Xu He and Ren Liu
Machines 2026, 14(6), 632; https://doi.org/10.3390/machines14060632 - 1 Jun 2026
Viewed by 414
Abstract
This article investigates the design and optimization of a high-speed surface-mounted permanent magnet synchronous motor with an amorphous stator core for hydrogen compressor applications, where high efficiency and high power density are critical. Amorphous materials offer significant potential for reducing excessive core losses [...] Read more.
This article investigates the design and optimization of a high-speed surface-mounted permanent magnet synchronous motor with an amorphous stator core for hydrogen compressor applications, where high efficiency and high power density are critical. Amorphous materials offer significant potential for reducing excessive core losses at high electrical frequencies—a key requirement for high-speed hydrogen compression systems. However, manufacturing processes such as annealing and cutting degrade their magnetic properties, making raw ribbon data insufficient for accurate loss calculation. To address this, the magnetic performance degradation of the processed amorphous core is characterized by introducing a loss modification factor, improving core loss prediction accuracy. Based on a conventional silicon steel baseline motor operating at 60,000 rpm, a finite element model incorporating the corrected amorphous loss data is developed by replacing the stator core with amorphous material. The Dowell analytical model for AC windings is employed to accelerate computation. A multi-objective evolutionary algorithm is then applied to optimize the motor geometry, maximizing efficiency while maintaining output power to meet the demanding requirements of hydrogen compressors. Finally, a prototype is manufactured and tested. The experimental results validate the efficiency improvement of the amorphous material-based motor and confirm the effectiveness of the proposed optimization methodology for hydrogen compressor applications. Full article
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