Hybrid Analytical Modeling: Fourier Modeling Combined With Mesh-Based Magnetic Equivalent Circuits

Pluk, K. J. W.; Jansen, J.W.; Lomonova, E. A.

doi:10.1109/tmag.2015.2419197

Cited by 29 publications

(25 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…• 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

View full text Add to dashboard Cite

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.

show abstract

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

View full text Add to dashboard Cite

show abstract

“…where µ HM r represents the homogeneous relative permeability within the Fourier region, while µ MEC r (l, k) is the relative permeability per element of the MEC-region. The magnetic flux density, calculated for the top or bottom layer of the MEC-region, was considered to be constant within a single element [9]. To allow coupling with the neighboring Fourier regions, the right-hand side of (22) was modified as:…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…In [9,10], the primary core of a synchronous permanent magnet motor was successfully included in the field analysis. In [11], these models were extended to include saturation of the highly-permeable materials.…”

Section: Introductionmentioning

confidence: 99%

2D Hybrid Steady-State Magnetic Field Model for Linear Induction Motors

Aleksandrov¹,

Overboom²,

Lomonova³

2019

MCA

View full text Add to dashboard Cite

This paper presents a 2D hybrid steady-state magnetic field model, capable of accurately modeling the electromagnetic behavior in a linear induction motor, including primary slotting, finite yoke length, and longitudinal end-effects by primary motion. This model integrates a complex harmonic modeling technique with a discretized magnetic equivalent circuit model. The Fourier model is applied to regions with homogeneous material properties, e.g., air regions and the track of the motor, while the magnetic equivalent circuit (MEC) approach is used for the regions containing non-homogeneous material properties, e.g., the primary of the linear induction motor (LIM). By only meshing the domains containing highly-permeable materials, the computational effort is reduced in comparison with the finite element method (FEM). The model is applied to a double-layer single-sided LIM, and the resulting thrust and normal forces show an excellent agreement with respect to finite element analysis and measurement data.

show abstract

“…For structures with periodicity, Fourier modeling is particularly interesting, however, the limitation is the unavailability to take circumferential variations of material property (e.g. magnetic permeability) into account [1], which is a significant drawback in the case of stator/rotor slotting [6], [7]. In [7]- [11], a hybrid analytical modeling (HAM) technique that integrates Fourier modeling and meshed magnetic equivalent circuit (MEC) is discussed.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Analytical Modeling of Saturated Linear and Rotary Electrical Machines: Integration of Fourier Modeling and Magnetic Equivalent Circuits

2018

Self Cite

View full text Add to dashboard Cite

DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal. If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement:

show abstract

Hybrid Analytical Modeling: Fourier Modeling Combined With Mesh-Based Magnetic Equivalent Circuits

Cited by 29 publications

References 23 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

2D Hybrid Steady-State Magnetic Field Model for Linear Induction Motors

Hybrid Analytical Modeling of Saturated Linear and Rotary Electrical Machines: Integration of Fourier Modeling and Magnetic Equivalent Circuits

Contact Info

Product

Resources

About