Instantaneous magnetic field distribution in brushless permanent magnet DC motors. III. Effect of stator slotting

Zhu, Z. Q.; Howe, D.

doi:10.1109/20.195559

Cited by 627 publications

(294 citation statements)

References 3 publications

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“…This model is based on the conformal transformation discussed in [11]. It uses a simple SC transformation to predict the slotting effect; however it only accounts for the axial component of the resulting permeance function.…”

Section: Conformal Mapping Simple Model Applying Lateral Force Methodmentioning

confidence: 99%

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Comparison of Three Analytical Methods for the Precise Calculation of Cogging Torque and Torque Ripple in Axial Flux PM Machines

Hemeida

Hannon

Vansompel

et al. 2016

Mathematical Problems in Engineering

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A comparison between different analytical and finite-element (FE) tools for the computation of cogging torque and torque ripple in axial flux permanent-magnet synchronous machines is made. 2D and 3D FE models are the most accurate for the computation of cogging torque and torque ripple. However, they are too time consuming to be used for optimization studies. Therefore, analytical tools are also used to obtain the cogging torque and torque ripple. In this paper, three types of analytical models are considered. They are all based on dividing the machine into many slices in the radial direction. One model computes the lateral force based on the magnetic field distribution in the air gap area. Another model is based on conformal mapping and uses complex Schwarz Christoffel (SC) transformations. The last model is based on the subdomain technique, which divides the studied geometry into a number of separate domains. The different types of models are compared for different slot openings and permanent-magnet widths. One of the main conclusions is that the subdomain model is best suited to compute the cogging torque and torque ripple with a much higher accuracy than the SC model.

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Section: Conformal Mapping Simple Model Applying Lateral Force Methodmentioning

confidence: 99%

“…Afterwards, the slots are taken into account by introducing a permeance function of the slots. In [11], the slots are taken into account using a simple conformal mapping technique in radial-flux permanent-magnet synchronous machines (RFPMSMs). However, this method only computes the radial field component.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Three Analytical Methods for the Precise Calculation of Cogging Torque and Torque Ripple in Axial Flux PM Machines

Hemeida

Hannon

Vansompel

et al. 2016

Mathematical Problems in Engineering

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show abstract

“…Because of open slots on two sides, so it is difficult to handle in the analytical prediction of the air-gap magnetic field. Analytical approaches for airgap magnetic field computation in slotted machines can be found in the literature [7][8][9][10]. However, the publications focus essentially on the determination of cogging torque in permanent magnet motors.…”

Section: Introductionmentioning

confidence: 99%

Optimization Design of Magnetic Gear Based on Genetic Algorithm Toolbox of Matlab

Jing¹,

Luo²,

Liu³

et al. 2016

Journal of Electrical Engineering and Technology

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-Concentric magnetic gear (CMG) is a transmission gear with a novel structure and a promising prospect. However, the calculation of its electromagnetic field is more complicated. In this paper, an exact analytical method is used to calculate the magnetic field distribution and electromagnetic torque. The genetic algorithm optimization toolbox of matlab (GAOT) provides a good tool for its optimization design. The optimization results show that the genetic algorithm is practicable and effective, and provide a new approach for the analysis and design of the concentric magnetic gear. It is significant for the research and application of the concentric magnetic gear.

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“…Moreover, it is less time consuming and sufficiently accurate. Numerous analytical approaches have been developed for the determination of slotted machine's magnetic field distribution, hence cogging torque [6][7][8][9][10][11][12]. These analytical methods depend on either magnetic equivalent reluctance model, conformal method, methods of images, or solution of governing equations by use of variable separable method.…”

Section: Introductionmentioning

confidence: 99%

“…In 1993 Zhu et al [13] solved magnetic field distribution in a slotless permanent magnetic machine by use of variable separable method. Further, the authors incorporated the slotting effect using conformal mapping approach and deducted a 2D relative permeance function to account for the slotting effect [6]. However, this approach is limited to estimation of radial field only.…”

Section: Introductionmentioning

confidence: 99%

Semi-Analytical Model for Skewed Magnet Axial Flux Machine

Reza¹

2018

PIER M

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Abstract-High power density and torque capability are distinguished features of slotted axial flux permanent magnet machine. However, due to alternate placement of slot and teeth, the airgap permeance and airgap magnetic energy vary with angular position. Even in absence of current excitation, the magnetic variation with position results in cogging torque. This torque produces several undesirable phenomena such as mechanical vibration, acoustic noise, torque ripples, voltage ripples and speed ripple in machine performance. The severity is high for low speed, light load, and direct drive applications. Various design modifications such as slot skewing, magnet skewing, axillary slots, optimization of pole pitch to pole arc ratio and many more are reported for cogging torque mitigation. Any of these design modifications adversely affects the machine performance in terms of no load magnetic field distribution, linkage flux, and induced emf. In this paper, the effect of magnet skewing is investigated for dualrotor permanent magnet axial flux machine. The analytical model is developed for the determination of magnetic field distribution at no load. Three different types of open slots stators viz. type 1: trapezoidal Slot with trapezoidal teeth, type 2: Parallel slot with trapezoidal teeth, and type 3: trapezoidal slot with parallel teeth are used for the investigation of air-gap magnetic field density and cogging torque produced in machine. The analytically obtained results are compared with finite element analysis (FEA) for the validation.

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Instantaneous magnetic field distribution in brushless permanent magnet DC motors. III. Effect of stator slotting

Cited by 627 publications

References 3 publications

Comparison of Three Analytical Methods for the Precise Calculation of Cogging Torque and Torque Ripple in Axial Flux PM Machines

Comparison of Three Analytical Methods for the Precise Calculation of Cogging Torque and Torque Ripple in Axial Flux PM Machines

Optimization Design of Magnetic Gear Based on Genetic Algorithm Toolbox of Matlab

Semi-Analytical Model for Skewed Magnet Axial Flux Machine

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