Nonlinear Analytical Prediction of Magnetic Field and Electromagnetic Performances in Switched Reluctance Machines

Djelloul-Khedda, Zakarya; Boughrara, Kamel; Dubas, Frédéric; Ibtiouen, R.

doi:10.1109/tmag.2017.2679686

Cited by 76 publications

(71 citation statements)

References 30 publications

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“…The iron relative permeability used in this model is constant and corresponds to the linear part of the nonlinear B(H) curve. However, the whole B(H) curve of the magnetic material can be applied with an iterative algorithm as in [29,30,34]. The proposed subdomain method in polar coordinates (r, Θ) takes less computing time than the FEA (approximately two-fold versus to FEA).…”

Section: Discussionmentioning

confidence: 99%

“…• Multi-layer models (i.e., Carter's coefficient [19,20], saturation coefficient [21,22], concept wave impedance [23][24][25][26] and convolution theorem [27][28][29][30]); • Eigenvalues model, viz., the method of truncation region eigenfunction expansions (TREE) [31,32];…”

Section: Introductionmentioning

confidence: 99%

“…The iron magnetic permeability is constant corresponding to the linear zone of the nonlinear B(H) curve [1,33]. Nevertheless, as in [29,30,34], the saturation effect could be taken into account by an iterative calculation considering, at each iteration, a constant relative magnetic permeability according to the nonlinear B(H) curve. However, this is beyond the scope of the paper.…”

Section: Introductionmentioning

confidence: 99%

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

Dubas

Boughrara

2017

MCA

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This paper presents a new scientific contribution to the two-dimensional red(2-D) subdomain technique in polar coordinates taking into account the finite relative permeability of the ferromagnetic material. The constant relative permeability corresponds to the linear part of the nonlinear B(H) curve. As in the conventional technique, the separation of variables method and the Fourier series are used for the resolution of magnetostatic Maxwell equations in each region. The general solutions of the magnetic field in subdomains, as well as the boundary conditions (BCs) between regions are different from the conventional method. In the proposed method, the magnetic field solution in each subdomain is a superposition of two magnetic quantities in the two directions (i.e., r-and Θ-axis), and the BCs between two regions are also in both directions. For example, the scientific contribution has been applied to an air-or iron-cored coil supplied by a constant current. The distribution of local quantities (i.e., the magnetic vector potential and flux density) has been validated by a corresponding 2-D finite-element analysis (FEA). The obtained semi-analytical results are in very good agreement with those of the numerical method.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Dubas

Boughrara

2017

MCA

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“…Multi-layers models (i.e., Carter's coefficient [19,20], saturation coefficient [21,22], concept wave impedance [23][24][25][26], and convolution theorem [27][28][29][30]); • Eigenvalues model, viz., the method of Truncation Region Eigenfunction Expansions (TREE) [31,32]; • Subdomain technique [1,33,34]; • Hybrid models, viz., the analytical solution combined with numerical methods [35,36] or (non)linear magnetic equivalent circuit [37][38][39].…”

mentioning

confidence: 99%

“…The iron magnetic permeability is constant corresponding to linear zone of the nonlinear B(H) curve [1,33]. Nevertheless, as in [29,30,34], the saturation effect could be taken into account by an iterative calculation considering, at each iteration, a constant relative magnetic permeability according to the nonlinear B(H) curve. However, this is beyond the scope of the paper.…”

mentioning

confidence: 99%

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

Dubas¹,

Boughrara²

2017

Preprint

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This paper presents a new scientific contribution on the two-dimensional (2-D) subdomain technique in polar coordinates taking into account the finite relative permeability of the ferromagnetic material. The constant relative permeability corresponds to linear part of the nonlinear B(H) curve. As in conventional technique, the method of separation of variables and the Fourier's series are used for the resolution of magnetostatic Maxwell's equations in each region. Although, the general solutions of magnetic field in the subdomains and boundary conditions (BCs) between regions are different in the conventional and proposed method. In this later, the magnetic field solution in each subdomain is a superposition of two magnetic quantities in the two directions (i.e., r-and Θ-axis) and the BCs between two regions are also in both directions. For example, the scientific contribution has been applied to an air-or iron-cored coil supplied by a constant current. The distribution of local quantities (i.e., the magnetic vector potential and flux density) has been validated by a corresponding 2-D finite-element analysis (FEA). The obtained semi-analytical results are in very good agreement with those of numerical method.

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2-D Analytical Model of Conventional Switched Reluctance Machines

Belguerras

Benmessaoud

Dubas

et al. 2020

Lecture Notes in Electrical Engineering

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Nonlinear Analytical Prediction of Magnetic Field and Electromagnetic Performances in Switched Reluctance Machines

Cited by 76 publications

References 30 publications

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

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

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

2-D Analytical Model of Conventional Switched Reluctance Machines

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