A simple analytical approach to model saturation in surface mounted permanent magnet synchronous motors

Berkani, Mohamed Saïd; Sough, Ml.; Giurgea, Stéfan; Dubas, Frédéric; Boualem, Benali; Espanet, Christophe

doi:10.1109/ecce.2015.7310281

Cited by 7 publications

(11 citation statements)

References 18 publications

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“…The magnetic fluxes in the stator/rotor iron cores are obtained from the air-gap magnetic field [32,33,35] or/and with a simple MEC [34]. This technique has been applied to surface-mounted/-inset magnets machines [32][33][34][35], surface-inset magnet machines [33], and others electrical machines.…”

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

confidence: 99%

“…The analytical magnetic field distribution is mainly determined in one or two regions (viz., air-gap or air-gap/magnets) of slotless machines by applying the Carter's coefficient [32]. The slotting effect can be neglected [32,35] or taken into account through the SC mapping method [33,34]. The magnetic fluxes in the stator/rotor iron cores are obtained from the air-gap magnetic field [32,33,35] or/and with a simple MEC [34].…”

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

confidence: 99%

“…The main magnetic saturation is included in the saturation factor, in an iterative way, by using the nonlinear B(H) curve. The saturation effect is accounted for by modifying the air-gap length [32][33][34] or by changing the physical properties of magnets (in this case, the saturated load operation is calculated by considering an equivalent no-load operation with a fictitious magnet having a remanent flux density that creates the same MMF as the one created by both real magnet and stator MMF) [35]. The analytical magnetic field distribution is mainly determined in one or two regions (viz., air-gap or air-gap/magnets) of slotless machines by applying the Carter's coefficient [32].…”

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

confidence: 99%

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

confidence: 99%

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

confidence: 99%

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

confidence: 99%

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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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“…• 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%

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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“…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%

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.

show abstract

A simple analytical approach to model saturation in surface mounted permanent magnet synchronous motors

Cited by 7 publications

References 18 publications

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

New Scientiﬁc Contribution on the 2-D Subdomain Technique in Cartesian 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

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