Two-Dimensional Analytical Permanent-Magnet Eddy-Current Loss Calculations in Slotless PMSM Equipped With Surface-Inset Magnets

Dubas, Frédéric; Rahideh, Akbar

doi:10.1109/tmag.2013.2285525

Cited by 89 publications

(66 citation statements)

References 43 publications

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“…8 The eddy current loss is analyzed in permanent magnet machines. [9][10][11] The methods to calculate eddy current loss are mainly analytical method based on magnetic field calculation and finite element method (FEM). FEM is time consuming and inflexible.…”

Section: Introductionmentioning

confidence: 99%

Eddy current loss calculation and thermal analysis of axial-flux permanent magnet couplers

Zheng

Wang

et al. 2017

AIP Advances

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A three-dimensional magnetic field analytical model of axial-flux permanent magnet couplers is presented to calculate the eddy current loss, and the prediction of the copper plate temperature under various loads is analyzed. The magnetic field distribution is calculated, and then the eddy current loss is obtained, with the magnetic field analytical model established in cylindrical coordinate. The influence of various loads on eddy current loss is analyzed. Furthermore, a thermal model of axial-flux permanent magnet couplers is established by taking the eddy current loss as the heat source, using the electromagnetic-thermal coupled method. With the help of the thermal model, the influence of various loads on copper plate temperature rise is also analyzed. The calculated results are compared with the results of finite element method and measurement. The comparison results confirm the validity of the magnetic field analytical model and thermal model.

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Section: Introductionmentioning

confidence: 99%

Eddy current loss calculation and thermal analysis of axial-flux permanent magnet couplers

Zheng

Wang

et al. 2017

AIP Advances

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“…It should be noted that, unlike the analytical model used for predicting the eddy currents density in PM machines [9][10][11][12][13], for the model proposed in the present study, the eddy currents flow between the bars via the axial end ring, and thus the interaction between the bars must be considered. According to (18) and (22), the sum of the eddy currents induced in region 3q in terms of the m-th time harmonic is .…”

Section: Vector Potential Distributionsmentioning

confidence: 99%

“…The study of the magnetic field in PM devices can be achieved in two ways: numerical methods [1,2] and analytical methods [3][4][5][6][7][8][9][10][11][12]. Numerical methods such as the finite element (FE) method can yield accurate predictions of the performance of a device by considering the real geometry and nonlinear material properties, but the FE method is time-consuming because accurate results require a refined mesh of the model, which may limit its application to design optimization.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, for a model where the air gap is large or variable in width, such as the PMEC, the field predictions obtained using this method lack accuracy. The subdomain method is used frequently for models with slotted rotor topology such as PM machines [9][10][11][12][13]. This method divides the discontinuous field into several simple solution domains and the field distributions can then be obtained by solving the governing equations in each subdomain by applying the boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

“…This method divides the discontinuous field into several simple solution domains and the field distributions can then be obtained by solving the governing equations in each subdomain by applying the boundary conditions. In the study of PM machines based on the subdomain model, previous studies have often focused on predicting the airgap field distributions without considering the influence of eddy currents [9,10], or predicting the eddy current loss in magnets [11,12], windings [9,10], and cores [13], where the topologies are isolated with no mutual influence, and thus their solutions are not applicable to the modeling of the slotted conductor rotor shown in Fig. 1.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analytical Solution of Magnetic Field in Permanent-Magnet Eddy-Current Couplings by Considering the Effects of Slots and Iron-Core Protrusions

Dai¹,

Liang²,

Ren³

et al. 2015

Journal of Magnetics

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In this study, we propose an analytical model for studying magnetic fields in radial-flux permanent-magnet eddy-current couplings by considering the effects of slots and iron-core protrusions on the eddy currents. We focus on the analytical prediction of the air-gap field by considering the influence of eddy currents induced in conducting bars. In the proposed model, the permanent magnet region is treated as the source of a timevarying magnetic field and the moving-conductor eddy current problem is solved based on the resolution of time-harmonic Helmholtz equations. The spatial harmonics in the air gap and in slots, as well as the time harmonics are all considered in the analytical calculation. Based on the proposed field model, the electromagnetic torque is computed by using the Maxwell stress tensor method. Nonlinear finite element analysis is performed to validate the analytical model. The proposed model can be used for permanent-magnet eddy-current couplings with any slot-pole combination.

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Analytical Calculation for Multilayer Rotor Eddy Current Losses of High‐Speed Permanent Magnet Machines

Wang

et al. 2022

IEEJ Transactions Elec Engng

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This paper deduces an exact model of analytical calculation for the multilayer rotor eddy current losses of high-speed permanent magnet machines based on the subdomain method. The analytical calculation model solution domain is divided into six parts of subdomains, including permanent magnet, shielding layer, metal retaining sleeve, air gap, slot openings, and windings. The Laplace equation of the air subdomain and the diffusion equation of the eddy current subdomain and the windings subdomain are established with the vector magnetic potential as the independent variable. The eddy current losses of the permanent magnet, shielding layer, and retaining sleeve of the multilayer rotor are calculated considering the slots effect and eddy current reaction. This analytical model is used to study the interfering factors of the multilayer rotor eddy current losses including the shielding layer thickness, carrier ratio, and modulation ratio. Finally, the correctness and regularity of the analytical calculation model are proved by finite element analysis and machine experiment analysis.

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Two-Dimensional Analytical Permanent-Magnet Eddy-Current Loss Calculations in Slotless PMSM Equipped With Surface-Inset Magnets

Cited by 89 publications

References 43 publications

Eddy current loss calculation and thermal analysis of axial-flux permanent magnet couplers

Eddy current loss calculation and thermal analysis of axial-flux permanent magnet couplers

Analytical Solution of Magnetic Field in Permanent-Magnet Eddy-Current Couplings by Considering the Effects of Slots and Iron-Core Protrusions

Analytical Calculation for Multilayer Rotor Eddy Current Losses of High‐Speed Permanent Magnet Machines

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