Second order air-gap element for the dynamic finite-element analysis of the electromagnetic field in electric machines

Féliachi, Mouloud; Coulomb, Jean‐Louis; Mansir, H.

doi:10.1109/tmag.1983.1062820

Cited by 17 publications

(6 citation statements)

References 4 publications

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“…• Hybrid models (the local/global saturation): The analytical solution can be combined with numerical methods [54][55][56][57] or (non)linear MEC [58][59][60][61][62][63][64][65][66][67]. Usually, the analytical solution is established in uniform regions of very low permeability (e.g., air-gap, and magnets) and other methods are sought in regions where magnetic saturation cannot be neglected (i.e., the stator and/or rotor iron cores).…”

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

Dubas¹,

Boughrara²

2017

Preprint

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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 so that the saturation effect is neglected”. In this paper, the author presents 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%

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

Dubas¹,

Boughrara²

2017

Preprint

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“…• Hybrid models: The analytical solution can be combined with numerical methods [50][51][52][53] or (non)linear MEC [54][55][56][57][58][59][60][61][62][63]. Usually, the analytical solution is established in uniform regions of very low permeability (e.g., air-gap, and magnets) and other methods are sought in regions where magnetic saturation cannot be neglected (i.e., the stator and/or rotor iron cores).…”

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

Dubas¹,

Boughrara²

2016

Preprint

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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 author presents 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., xand y-edges). The improvement was performed by solving magnetostatic Maxwell's equations for an air-or iron-core 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.3 of 37 has been applied to surface-mounted/-inset magnets machines [32][33][34][35], surface-inset magnet machines [33], and others electrical machines.-Concept wave impedance: They are based on a direct solution of Maxwell's field equations in homogeneous multi-layers of magnetic material properties, viz., the magnetic permeability and the electrical conductivity. This approach, developed by Mishkin (1953) [36], was first applied to squirrel-cage induction machine in Cartesian coordinates with three-layers (i.e., stator slotting, air-gap, and rotor slotting). It was used and enhanced by many authors, viz., * simplification of the electromagnetic theory [37]; * extended with an infinite number of layers [38]; * converted into equivalent circuits and terminal impedance [39]; * included the curvature effect with the magnetizing current [40]; * incorporated spatial harmonics in the multi-layers theory by considering isotropic and anisotropic (e.g., laminated, composite, and toothed) regions [41,42]; * introduced the nonlinear B(H) curve in homogenous layers by an iterative procedure [43,44]; * taking account of the effect of slot openings [45], i.e., the multi-layers model is combined with the subdomain technique for slotted structures by assuming infinitely permeable tooth tips; * included the current penetration effect in conductive layers [43,46]. The analytical solution for the electromagnetic field in conductive layers is then defined by Bessel functions.

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“…The hybrid methods are based on combined formulations which keep the finite element topology unchanged during the movement simulation. Among them, we can cite the macro element (ME) method, in which the air‐gap is a non meshed area where the electromagnetic field is computed analytically (Filiachi, et al , 1983). This coupled analytical and numerical model allows to consider the motion only by changing the stiffness matrix of the ME (Mohellibi et al , 1998; Bendjima et al , 1997; Belli Boulassel, 2002).…”

Section: Introductionmentioning

confidence: 99%

Fast dynamic macro element and finite element 2D coupled model for an electromagnetic launcher study

Boulassel

Mékidèche

2007

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Purpose -The modelling of the electromagnetic devices with moving objects such as launchers, electrical machines and actuators, necessitates considering the motion. This paper aims to examine this subject. Design/methodology/approach -This task can be performed by introducing the velocity term in the electromagnetic equation. However, the application of this method leads to a non-symmetrical finite element matrix. This numerical problem can be avoided either by the finite element meshing domain every displacement step or by using special techniques coupled to the finite element method like the moving bound, sliding surface and macro element (ME). The ME solution, based on an analytical model in the air-gap of the devices, is more solicited for its low cost and accuracy by comparison with the other one. This technique keeps unchanged the finite element topology during the simulation, where the motion is taken into account by modification of the ME formula's every displacement.Findings -This paper sought to present a new formula of the ME which is called dynamic ME. This new formula keeps unchanged the finite element topology and the terms of the analytical stiffness matrix too during the movement simulation.Research limitations/implications -The developed model is limited to analyzing the 2D devices with moving objects in linear or non-linear case with saturation of the magnetic circuits. Extending the model to consider the 3D effects is the perspective of this work. Originality/value -The developed formula is more economical than the classical one.

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Second order air-gap element for the dynamic finite-element analysis of the electromagnetic field in electric machines

Cited by 17 publications

References 4 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 Cartesian Coordinates: Taking into Account of Iron Parts

Fast dynamic macro element and finite element 2D coupled model for an electromagnetic launcher study

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