Prediction of open-circuit airgap field distribution in brushless machines having an inset permanent magnet rotor topology

Howe, D.; Xia, Z.P.

doi:10.1109/20.272521

Cited by 64 publications

(40 citation statements)

References 9 publications

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“…Therefore, from Fig. 3(c), the Kirchhoff's law is applied to node , and loop 1-4: (12) It yields the expressions of the leakage fluxes, i.e., (13) (14) (15) (16) Therefore, the average air-gap flux density excited by is (17) Similarly, according to Fig. 3(d), the average air-gap flux density excited by is given by (18) As shown by the curve 1 in Fig.…”

Section: Analytical Model For Multisegment Ipm Machinesmentioning

confidence: 99%

“…Therefore, a lumped magnetic circuit model usually is a good compromise between simplicity and accuracy [3]- [9]. By way of examples, Laplacian or quasi-Poissonian field equations were directly solved analytically for SPM machines [10], [11] and inset PM machines [12], conformal mapping techniques were used for analyzing the influence of stator slotting [13]- [15] and rotor saliency in IPM machines [16], [17], while lumped magnetic circuit methods [3]- [9], [18]- [26] were extensively used for SPM machines [18]- [20], switched reluctance machines [21], linear brushless dc machines [22], hybrid stepping motors [5], salient-pole synchronous machines [23], flux-switching PM machines [24]- [26], inset PM machines [6], IPM machines [3], [4], [7]- [9], etc. In the lumped magnetic circuit analysis, the permeances of stator yoke and rotor yoke were often omitted for simplicity [5]- [7], [9], [18], [22], [25], [26], or handled with the nonlinear B-H curve of iron by iterative process for higher accuracy [3], [4], [8], [19]- [21], [23], [24].…”

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confidence: 99%

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Analytical Modeling of Open-Circuit Air-Gap Field Distributions in Multisegment and Multilayer Interior Permanent-Magnet Machines

et al. 2009

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Section: Analytical Model For Multisegment Ipm Machinesmentioning

confidence: 99%

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confidence: 99%

Analytical Modeling of Open-Circuit Air-Gap Field Distributions in Multisegment and Multilayer Interior Permanent-Magnet Machines

et al. 2009

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“…2-D analytical magnetic field calculations have been reported for both surface-mounted and surface-inset PMs [23][24][25][26][27][28][29][30][31] in which some of them deal with the slotless stator structure and some others investigate the slotted stator structure . Analytical magnetic field expressions have been utilized to calculate the PM eddy-current loss with(out) the current penetration effect [4,14,28], cogging torque [13,32], reluctance torque, instantaneous torque [27,30], back EMF waveforms [5,24,27], self-/mutual-inductances [2,27], and UMFs [5,33].…”

Section: Introductionmentioning

confidence: 99%

Analytical Calculations of Electromagnetic Quantities for Slotted Brushless Machines With Surface-Inset Magnets

Rahideh¹,

Moayed-Jahromi²,

Mardaneh³

et al. 2017

PIER B

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Abstract-In this paper, two-dimensional (2-D) analytical magnetic field calculations are used to compute crucial quantities of Brushless permanent-magnet (PM) machines with surface-inset PMs. The analytical magnetic field distribution is based on the subdomain technique in which the slotting and tooth-tip effects have been considered. It includes both different magnetization patterns (e.g., radial, parallel and Halbach) and different spatial distribution of winding (e.g., concentrated and distributed with one or more layers). The saturation effect of the magnetic circuit is neglected. In this investigation, the phase and line induced back electromotive force (EMF) waveforms, electromagnetic/cogging/reluctance torques, self-/mutual-inductances and unbalanced magnetic forces (UMFs) have been analytically calculated. The analytical expressions can be used for Brushless machines having surface-inset PMs with any radius-independent magnetization pattern. In this study, two slotted Brushless PM machines with surface-inset PMs have been selected to evaluate the efficacy of the analytical expressions by comparing the results with those obtained by the finite-element method (FEM). One of the case studies is a 9-slots/8-poles Brushless DC (BLDC) machine with radially magnetized PMs, non-overlapping all teeth wound winding and six-step rectangular armature current waveforms. The other is a 15-slots/4-poles Brushless AC (BLAC) machine with Halbach magnetization PMs, double-layer overlapping winding and sinusoidal armature current waveforms.

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“…The other three parts consider the magnetic field due to the stator currents [23], the effects of stator slotting on the field [24], and the combination of fields due to the magnets and stator currents, resulting in the field in a loaded machine [25]. In [26], Zhu et al further develop their analytical model to predict the magnetic field due to inset magnets. In [27], several improvements on [17] are documented: internal and external rotors are now included in their model, as well as both radial and parallel magnetization.…”

Section: Objectivementioning

confidence: 99%

Analytical Modeling of a Permanent-Magnet Synchronous Machine in a Flywheel

2007

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We develop an analytical model for a radial-flux external-rotor permanent-magnet synchronous machine (PMSM) without slots in the stator iron and with a shielding cylinder. The machine is part of an energy storage flywheel, to be used as the peak-power unit in a hybrid electric passenger bus. To reduce the induced no-load losses due to the high rotational speed of the flywheel, the slots in the stator are made not of iron but of a nonmagnetic plastic material. This results in an air gap winding with a stator yoke consisting of stacked circular laminations. The analytical model includes the effect of the winding distribution on the field, the fact that it is in the air gap, and the effect of the eddy-current reaction field of the shielding cylinder. The two-dimensional magnetic field is solved in six defined machine layers and useful machine quantities are derived directly from it, leading to the machine voltage equation. We built a prototype flywheel machine. The locked-rotor machine resistance and inductance predicted by the analytical model was compared with the experimentally determined values. The values showed good agreement, thereby validating the analytical model of the machine.

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Prediction of open-circuit airgap field distribution in brushless machines having an inset permanent magnet rotor topology

Cited by 64 publications

References 9 publications

Analytical Modeling of Open-Circuit Air-Gap Field Distributions in Multisegment and Multilayer Interior Permanent-Magnet Machines

Analytical Modeling of Open-Circuit Air-Gap Field Distributions in Multisegment and Multilayer Interior Permanent-Magnet Machines

Analytical Calculations of Electromagnetic Quantities for Slotted Brushless Machines With Surface-Inset Magnets

Analytical Modeling of a Permanent-Magnet Synchronous Machine in a Flywheel

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