Analytical model of a permanent magnet brushless DC motor with non-linear ferromagnetic material

Dalal, Ankit; Kumar, Praveen

doi:10.1109/icelmach.2014.6960566

Cited by 7 publications

(5 citation statements)

References 31 publications

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“…These papers have considered stator and rotor yoke to be infinitely permeable or have assumed that the motor operates in linear region of B − H curve [10]- [29]. Very few researchers have included the effect of non-linear behavior of ferromagnetic material [10], [30]- [32]. Some researchers [10], [30] have included the saturation effect by introducing a saturation factor to modify the air-gap length.…”

Section: Introductionmentioning

confidence: 99%

“…However, in this work, the approximated magnetization curve is able to represent only a section of the B − H curve. In [32], authors have presented an iterative technique to include the non-linear properties of core material but have limited the analysis only to no-load operation of the motor. From this discussion, it is observed that the effects of ferromagnetic material property have not been thoroughly investigated in the literature.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Model for Permanent Magnet Motor With Slotting Effect, Armature Reaction, and Ferromagnetic Material Property

Dalal

Kumar

2015

IEEE Trans. Magn.

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Among various types of motors, Permanent Magnet (PM) motors, due to their high energy density are mainly used for electric based propulsion systems. In this paper an improved analytical model for PM motor has been presented. The model takes into account important factors such as, armature reaction, slotting effect and influence of non-linear material property on motor's behavior. Moreover, the main contributions of this work is representation of stator windings with exact winding width using Fourier series and consideration of effects of non-linear ferromagnetic material property. Using this model it is possible to determine air-gap magnetic field, flux linkage, back emf, cogging torque and electromagnetic torque with high accuracy. Results from the proposed model are compared with other analytical model and also with those from finite element analysis (FEA). The results obtained from the proposed method match closely with the FEA.Index Terms-Analytical models, cogging torque, electric vehicle, magnetic field, permanent magnet. 0018-9464 (c)

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical Model for Permanent Magnet Motor With Slotting Effect, Armature Reaction, and Ferromagnetic Material Property

Dalal

Kumar

2015

IEEE Trans. Magn.

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“…Generally, the armature slotting is taken into account through the SC mapping method. The analytical magnetic field distribution is determined in five or six homogeneous layers (i.e., exterior, slotless stator, winding/air-gap, magnets, and rotor) [29][30][31]. In [29], the magnetic permeabilities in stator/rotor iron cores have a constant value corresponding to linear zone of the B(H) curve.…”

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

“…In [29], the magnetic permeabilities in stator/rotor iron cores have a constant value corresponding to linear zone of the B(H) curve. An iterative technique to include the nonlinear properties of core material has been developed in [30] (for a no-load operation) and [31] (for a load operation whose the source term in the slot caused by the armature currents is represented by a winding current region over the stator slot-isthmus). In this type of modeling, the local distribution of flux densities in the teeth and slots is neglected.…”

Section: State-of-the-art: Saturation In Maxwell-fourier Methodsmentioning

confidence: 99%

New Scientiﬁc Contribution on the 2-D Subdomain Technique in Cartesian Coordinates: Taking into Account of Iron Parts

Dubas

Boughrara

2017

MCA

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Abstract:The most significant assumptions in the subdomain technique (i.e., based on the formal resolution of Maxwell's equations applied in subdomain) is defined by: The iron parts (i.e., the teeth and the back-iron are considered to be infinitely permeable, i.e., µ iron → +∞, so that the saturation effect is neglected. In this paper, the authors present a new scientific contribution on improving of this method in two-dimensional (2-D) and in Cartesian coordinates by focusing on the consideration of iron. The subdomains connection is carried out in the two directions (i.e., x-and y-edges). For example, the improvement was performed by solving magnetostatic Maxwell's equations for an air-or iron-cored coil supplied by a direct current. To evaluate the efficacy of the proposed technique, the magnetic flux density distributions have been compared with those obtained by the 2-D finite-element analysis (FEA). The semi-analytical results are in quite satisfying agreement with those obtained by the 2-D FEA, considering both amplitude and waveform.

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“…In literature, there are many papers that are related to the design, modeling or control of the BLDC motors, considering the time-stepping FE approach (Jang et al, 2002;Lin et al, 2004;Kim et al, 2004). However, the problems are always nonlinear because of the presence of ferromagnetic materials (Lin et al, 2004;Dalal and Kumar, 2014). Moreover, the existence of permanent magnets has an impact on produced magnetic torque, which, in general, is a Nonlinear finite element model 633 nonlinear function of the winding currents and also depends on rotor position (Park et al, 2000, Ko et al, 1993.…”

Section: Introductionmentioning

confidence: 99%

Infinite-time linear–quadratic optimal control of the BLDC motor exploiting a nonlinear finite element model

Bernat¹,

Stępień

Stranz

et al. 2017

COMPEL

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Purpose This paper aims to present a nonlinear finite element model (FEM) of the Brushless DC (BLDC) motor and the application of the optimal linear–quadratic control-based method to determine the excitation voltage and current waveform considering the minimization of the energy injected to the input circuit and energy lost. The control problem is designed and analyzed using the feedback gain strategy for the infinite time horizon problem. Design/methodology/approach The method exploits the distributed parameters, nonlinear FEM of the device. First, dynamic equations of the BLDC motor are transformed into a suitable form that makes an ARE (algebraic Riccati equation)-based control technique applicable. Moreover, in the controller design, a Bryson scaling method is used to obtain desirable properties of the closed-loop system. The numerical techniques for solving ARE with the gradient damping factor are proposed and described. Results for applied control strategy are obtained by simulations and compared with measurement. Findings The proposed control technique can ensure optimal dynamic response, small steady-state error and energy saving. The effectiveness of the proposed control strategy is verified via numerical simulation and experiment. Originality/value The authors introduced an innovative approach to the well-known control methodology and settled their research in the newest literature coverage for this issue.

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Analytical model of a permanent magnet brushless DC motor with non-linear ferromagnetic material

Cited by 7 publications

References 31 publications

Analytical Model for Permanent Magnet Motor With Slotting Effect, Armature Reaction, and Ferromagnetic Material Property

Analytical Model for Permanent Magnet Motor With Slotting Effect, Armature Reaction, and Ferromagnetic Material Property

New Scientiﬁc Contribution on the 2-D Subdomain Technique in Cartesian Coordinates: Taking into Account of Iron Parts

Infinite-time linear–quadratic optimal control of the BLDC motor exploiting a nonlinear finite element model

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