On-Load Analysis of Dual-Stator Vernier Motor Using Conformal Mapping

To address potential inverter failures and ensure high reliability, dual-inverter and dual-stator motor configurations are increasingly adopted in aerospace drive systems, such as Urban Air Mobility, which require robust fault-tolerant operation. This study focuses on a dual-stator vernier motor as a promising candidate for safety-critical applications due to its high power density and redundancy. However, the dual-stator topology introduces a significantly larger number of design variables compared to single-stator designs, leading to an increased computational burden during the initial design and analysis phases. To overcome these challenges, this paper proposes a novel computation-time reduction methodology based on an analytical framework using conformal mapping. Unlike traditional methods such as magnetic equivalent circuits or subdomain methods, the proposed approach eliminates the need for complex network configurations and the re-derivation of boundary conditions for various geometries. By employing the Schwarz-Christoffel (S-C) transformation, complex slotted air-gap regions are mapped into a normalized rectangular domain, enabling efficient and intuitive field analysis. The validity of the proposed method was verified through comparison with Finite Element Analysis (FEA) under load conditions. The results demonstrate that the proposed technique achieves high accuracy in predicting air-gap flux density and torque characteristics. Notably, the proposed method achieved a 92.3% reduction in computation time compared to FEA, proving its superior efficiency for the rapid design of motors with complex structures. Finally, this paper discusses a hybrid modeling approach to incorporate magnetic nonlinearity in future research to further enhance analytical precision.

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Publication Details

Journal
The Transactions of The Korean Institute of Electrical Engineers
Published
2026-05-08
DOI
https://doi.org/10.5370/kiee.2026.75.5.1048
Primary Topic
Electric Motor Design and Analysis
Type
article
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article

On-Load Analysis of Dual-Stator Vernier Motor Using Conformal Mapping

Cheon-Ho Song, Young-Jae Kang, Myung-Seop Lim, Seong-Hyeon Kim
The Transactions of The Korean Institute of Electrical Engineers
Electric Motor Design and Analysis
article

On-Load Analysis of Dual-Stator Vernier Motor Using Conformal Mapping

Cheon-Ho Song, Young-Jae Kang, Myung-Seop Lim, Seong-Hyeon Kim
article en

Abstract

To address potential inverter failures and ensure high reliability, dual-inverter and dual-stator motor configurations are increasingly adopted in aerospace drive systems, such as Urban Air Mobility, which require robust fault-tolerant operation. This study focuses on a dual-stator vernier motor as a promising candidate for safety-critical applications due to its high power density and redundancy. However, the dual-stator topology introduces a significantly larger number of design variables compared to single-stator designs, leading to an increased computational burden during the initial design and analysis phases. To overcome these challenges, this paper proposes a novel computation-time reduction methodology based on an analytical framework using conformal mapping. Unlike traditional methods such as magnetic equivalent circuits or subdomain methods, the proposed approach eliminates the need for complex network configurations and the re-derivation of boundary conditions for various geometries. By employing the Schwarz-Christoffel (S-C) transformation, complex slotted air-gap regions are mapped into a normalized rectangular domain, enabling efficient and intuitive field analysis. The validity of the proposed method was verified through comparison with Finite Element Analysis (FEA) under load conditions. The results demonstrate that the proposed technique achieves high accuracy in predicting air-gap flux density and torque characteristics. Notably, the proposed method achieved a 92.3% reduction in computation time compared to FEA, proving its superior efficiency for the rapid design of motors with complex structures. Finally, this paper discusses a hybrid modeling approach to incorporate magnetic nonlinearity in future research to further enhance analytical precision.

The Transactions of The Korean Institute of Electrical EngineersVol. 75(5)
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Electric Motor Design and Analysis
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