Analytical Model of Permanent Magnet Linear Synchronous Machines Considering End Effect and Slotting Effect

Lu, Qinfen; Wu, Bangwei; Yao, Yinan; Shen, Yiming; Jiang, Qian

doi:10.1109/tec.2019.2946278

Cited by 44 publications

(14 citation statements)

References 15 publications

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“…However, the effectiveness of this approach is compromised by the end effect in the case of linear machines. This makes it necessary the association of an end effect minimization approach, as proposed in [30]- [32].…”

Section: ) Cogging Forcementioning

confidence: 99%

Feature Investigation of a Segmented Pole Quasi- Halbach Tubular-Linear Synchronous Machine

et al. 2022

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The paper is aimed at an investigation of the features of a tubular-linear synchronous quasi-Halbach machine (T-LSM) where the radially-magnetized PMs are substituted by four equal segments with parallel magnetization. This substitution is done in an attempt to improve the machine cost-effectiveness which makes it a viable candidate to equip free-piston engine-based series hybrid propulsion systems. The study is initiated by an analytical formulation of the air gap flux density considering (i) the case of the conventional quasi-Halbach T-LSM and (ii) the case of the segmented pole one. The comparison between the two T-LSMs is extended to a 3D finite element analysis (FEA)-based investigation of their no-and on-load features. Following the prototyping of the quasi-Halbach T-LSM with segmented poles, selected features predicted by 3D FEA are experimentally-validated. It is shown that while the PM segmentation slightly affects the machine back-EMF and cogging force, it has a remarkable fallout on its force production capability which makes it necessary the assessment of the cost-performance trade-off.INDEX TERMS Quasi-Halbach PM tubular-linear synchronous machine, segmented poles, analytical model, 3D finite element analysis, no-and on-load features, cost-performance trade-off.

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Section: ) Cogging Forcementioning

confidence: 99%

Feature Investigation of a Segmented Pole Quasi- Halbach Tubular-Linear Synchronous Machine

et al. 2022

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“…Since only the radial flux-density component is considered in the AFM model, a RP model rather than a complex RP model is built, decreasing the complexity of stator permeance model [27]- [31]. As shown in Fig.…”

Section: Relative Stator Permeancementioning

confidence: 99%

Analytical Model of Modular Spoke-Type Permanent Magnet Machines for In-Wheel Traction Applications

Zhang

Wang

Gerada

et al. 2020

IEEE Trans. Energy Convers.

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This paper proposes an analytical model of modular spoke-type permanent magnet (MSTPM) machines based on air-gap field modulation (AFM) theory. Firstly, a fundamental AFM model of open-circuit MSTPM machines is introduced. The open-circuit air-gap field of MSTPM machines is determined by three fundamental elements including the primitive magnetizing magnetomotive force (MMF) produced by permanent magnet (PM), and two modulators which consist of stator and rotor permeance. The analytical MMF excited by PM (PM-MMF) can be calculated by using magnetic circuit method, while the stator and rotor permeance models are developed based on relative permeance (RP) method. Thereafter, a general model is proposed to calculate the open-circuit back electromotive force (EMF) of MSTPM machines. Further, the winding inductance model is established on the basis of equivalent magnetic circuit method and RP model. Finally, the machine performance is predicted by the analytical model, and verified by both finite element analysis (FEA) and experimental results. Index Terms-Air-gap field modulation, AC machines, spoke-type PM machines, in-wheel traction.  NOMENCLATURE θ Air-gap position μ0 Permeability of vacuum ωRotor mechanical speed (rad/s)Relative rotor permeance at (position θ, moment t) Λr0Average relative rotor permeance Λ s0Average relative stator permeance Λr1 Amplitude of fundamental relative rotor permeance Λs(θ, t) Relative stator permeance at (position θ, moment t) Br(θ, t) Radial air-gap flux density at (position θ, moment t) B ho The h o th harmonic of air-gap flux density ec(t) Back-EMF of a single coil at moment t e kThe k th phase back-EMFThe harmonic of the k th phase back-EMF induced by the ho th harmonic of flux density 

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“…Because of permanent magnet linear synchronous motor (PMLSM) has high‐force density, fast dynamic response, simple mechanical structure and high‐transmission efficiency, it has been widely used for high‐precision industrial production, semiconductor manufacturing, vertical lifting, etc. [1–5]. However, the detent force generated by the end effect force and cogging force in the PMLSM cause thrust ripple.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Detent Force in Flat‐Type Permanent Magnet Linear Synchronous Motor and Multi‐Objective Optimization Based on Parameter Classification

Zhang

2022

IEEJ Transactions Elec Engng

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In order to reduce the thrust ripple caused by the detent force and improve the thrust capacity of the permanent magnet linear synchronous motor (PMLSM), a flat‐type PMLSM is taken as the study object to globally optimize the motor parameters. Firstly, an analytical model for PMLSM is established. The end effect force based on the virtual displacement principle and the cogging force using the equivalent air gap length are considered when analyzing the model. The detent force is found that closely related to the relative position of the primary and secondary, the end air gap volume and the equivalent air gap length. Then, a motor structure optimization method based on parameter classification is proposed in this paper. By sensitivity analysis, the parameters are divided into two types. For parameters with high sensitivity, the response surface methodology (RSM) is used to establish the second‐order regression equation between parameters and response, and then these parameters are optimized by the multi‐population genetic algorithm (MPGA) to improve thrust capacity and reduce thrust ripple. The optimal values of parameters with low sensitivity are obtained by the parametric search. Finally, the optimized motor is used to predict its thrust performance by the finite element method (FEM). The prediction results show that the optimized motor not only performs better but also improves the design efficiency through parameter classification. © 2022 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

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Analytical Model of Permanent Magnet Linear Synchronous Machines Considering End Effect and Slotting Effect

Cited by 44 publications

References 15 publications

Feature Investigation of a Segmented Pole Quasi- Halbach Tubular-Linear Synchronous Machine

Feature Investigation of a Segmented Pole Quasi- Halbach Tubular-Linear Synchronous Machine

Analytical Model of Modular Spoke-Type Permanent Magnet Machines for In-Wheel Traction Applications

Analysis of Detent Force in Flat‐Type Permanent Magnet Linear Synchronous Motor and Multi‐Objective Optimization Based on Parameter Classification

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