Comparison of Analytical Models of Cogging Torque in Surface-Mounted PM Machines

Wu, Lijian; Zhu, Z. Q.; Staton, D.A.; Popescu, Mircea; Hawkins, D.

doi:10.1109/tie.2011.2143379

Cited by 150 publications

(72 citation statements)

References 45 publications

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“…The radius of the flux path is so . The actual torque computation is done by integrating along the entire flux path under half of the slot opening [22].…”

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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“…The radius of the flux path is so . The actual torque computation is done by integrating along the entire flux path under half of the slot opening [22].…”

Section: Conformal Mapping Simple Model Applying Lateral Force Methodmentioning

confidence: 99%

“…A comparison between different models has been conducted in [22] for the calculation of cogging torque for RFPMSMs. In this paper, the subdomain model has been shown to be the most accurate model.…”

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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“…The main torque ripple sources include cogging torque, non-ideal back EMF waveforms, and saturated machine magnetic circuit [43].…”

Section: Cogging Torquementioning

confidence: 99%

Design Optimization and Analysis of Afpm Synchronous Machine Incorporating Power Density, Thermal Analysis, and Back-Emf THD

Kahourzade¹,

Gandomkar²,

Mahmoudi³

et al. 2013

PIER

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Abstract-This paper presents the design and analysis of an inside-out axial-flux permanent-magnet (AFPM) synchronous machine optimized by genetic algorithm (GA) based sizing equation, finite element analysis (FEA) and finite volume analysis (FVA). The preliminary design is a 2-pole-pair slotted TORUS AFPM machine. The designed motor comprises sinusoidal back-EMF waveforms, maximum power density and the best heat removal. The GA is used to optimize the dimensions of the machine in order to achieve the highest power density. Electromagnetic field analysis of the candidate machines from GA with various dimensions is then put through FEA in order to obtain various motor characteristics. Based on the results from GA and FEA, new candidates are introduced and then put through FVA for thermal behavior evaluation of the designed motors. Techniques like modifying the winding configuration and skewing the permanent magnets are also investigated to attain the most sinusoidal back-EMF waveform and reduced cogging torque. The performance of the designed 1 kW, 3-phase, 50 Hz, 4-pole AFPM synchronous machine is tested in simulation using FEA software. It is found that the simulation results fully agree with the designed technical specifications. It is also found from FVA results that the motor temperature reaches at highest temperature to 87 • C at the rated speed and full load under steady state condition.

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“…Previous studies have suggested that a mixed magnet grade design can be used for electrical machines [32][33][34][35][36][37][38][39]. Several of these studies have discussed magnetic circuits with rare earth magnets [34][35][36]38,39], whereas others included ferrites [32,33] or a mixture of ferrites and rare earth metals [37].…”

Section: Introductionmentioning

confidence: 99%

“…Several of these studies have discussed magnetic circuits with rare earth magnets [34][35][36]38,39], whereas others included ferrites [32,33] or a mixture of ferrites and rare earth metals [37]. Most reviewed research on mixed magnet grade involved rotating machines [32][33][34][35][37][38][39]; however, a linear PM motor was studied in [36].…”

Section: Introductionmentioning

confidence: 99%

Study of an Altered Magnetic Circuit of a Permanent Magnet Linear Generator for Wave Power

et al. 2017

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The wave energy converter (WEC) studied and developed at Uppsala University in Sweden is a point absorbing buoy connected to a linear generator (LG) on the seabed. Previous studies have improved the sustainability of the generator, changing its magnets from Nd 2 Fe 14 B-magnets to ferrites. In this paper, the magnetic circuit of the linear generator is further studied. Ferrite magnets of two different types (Y30 and Y40) are studied along with different shapes of pole shoes for the system. The finite element method (FEM) simulations in a program called Ace are performed. The results show that a linear generator including both Y30 and Y40 magnets and shortened T-shaped pole shoes can generate a similar magnetic energy in the airgap as a linear generator only containing Y40 magnets and rectangular pole shoes. This shows that the magnetic circuit can be altered, opening up sizes and strengths of magnets for different retailers, and thereby possibly lowering magnet cost and transportation. This work was previously presented as a conference at the European Wave and Tidal Energy Conference (EWTEC) 2017 in Cork, Ireland; this manuscript has been carefully revised and some discussions, on magnet costs for example, have been added to this paper.

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Comparison of Analytical Models of Cogging Torque in Surface-Mounted PM Machines

Cited by 150 publications

References 45 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

Design Optimization and Analysis of Afpm Synchronous Machine Incorporating Power Density, Thermal Analysis, and Back-Emf THD

Study of an Altered Magnetic Circuit of a Permanent Magnet Linear Generator for Wave Power

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