Convergence Analysis of the Fixed-Point Method With the Hybrid Analytical Modeling for 2-D Nonlinear Magnetostatic Problems

Ceylan, Doğa; Friedrich, Leo A. J.; Boynov, K. O.; Lomonova, E.A.

doi:10.1109/tmag.2020.3024539

Cited by 9 publications

(13 citation statements)

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“…Table I gives main machine's dimensions. Equation (12) gives the non-linear characteristic of iron cores used in both the FEM and the MFF MBGRN.  …”

Section: Illustrative Examplementioning

confidence: 99%

“…Many recent works [3]- [12] have been dedicated to this approach, whether alone [3]- [8] or coupled with pure analytical models [8]- [12]. In [7], the software implementation of the approach is discussed and applied to a flux switching machine.…”

mentioning

confidence: 99%

“…The implementation was limited to the magnetic scalar potential formulation. In all cited references [3]- [12], the authors addressed one specific formulation. In [13], the authors coupled both magnetic scalar potential and mesh fluxes formulation, but didn't use the MBGRN.…”

mentioning

confidence: 99%

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Introduction to mesh based generated lumped parameter models for electromagnetic problems

Yang

Asfirane

Hlioui

et al. 2021

Trans. Electr. Mach. Syst.

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This paper is an introduction to mesh based generated reluctance network modeling. An overview of scientific works which led to the development of this approach is first presented. Basic concepts of the approach are then presented in the case of electromagnetic devices. A step-by-step procedure for coding the approach in the case of a flat linear permanent magnet machine is presented. Codes developed under MATLAB and Scilab environments are also included.Index Terms-Lumped parameter modeling, finite element method, mesh, electromagnetic devices, modeling I. INTRODUCTION HE finite element method (FEM) is used in different engineering domains [1], and has proven to be very useful for the analysis and the design of engineering components and devices. Many commercial and open-source packages are now available and often used for teaching purposes and in R&D departments in industry [2]. It is inconceivable that an engineer can graduated without at least having heard about the FEM. Nevertheless, the FEM is always introduced at the end of engineering teaching programs, because it requires mastering relatively advanced mathematical concepts.This isn't the case of lumped parameter models which require less mathematical knowledge, and which can be directly linked to the studied physical problems. This is why they are taught much earlier in the engineering teaching programs. They are qualified as semi-analytical approaches due to their derivation from simple analytical expressions, or as semi-numerical approaches because they require the discretization of the studied domains.This contribution presents a tutorial introduction to mesh Manuscript

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“…Table I gives main machine's dimensions. Equation (12) gives the non-linear characteristic of iron cores used in both the FEM and the MFF MBGRN.  …”

Section: Illustrative Examplementioning

confidence: 99%

mentioning

confidence: 99%

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Introduction to mesh based generated lumped parameter models for electromagnetic problems

Yang

Asfirane

Hlioui

et al. 2021

Trans. Electr. Mach. Syst.

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“…1 are reluctances and magneto-motive force sources in both rand θ-directions. The calculations of these parameters are explained in [3]. Pseudo flux loops (Φ rotor i,j , Φ stator i,j ) in MEC regions and Fourier coefficients (a n , b n , c n , d n ) in the FA region are concatenated in the unknown vector (X):…”

Section: Loop-based Hammentioning

confidence: 99%

“…The mesh-free airgap also enables the relative motion of the rotor without changing the mesh structure. The authors have investigated the advantages of the method compared to FEM recently in [3] and [4]. Although the classical numerical methods, such as FEM and MEC, are well-known even under the local magnetic saturation, the comparison of the nonlinear solvers for HAM is not available in the literature.…”

Section: Introductionmentioning

confidence: 99%

A New Loop-Based Hybrid Analytical Modeling Formulation and the Selection of Its Nonlinear Solver

et al. 2021

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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 rightsCopyright 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:

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Two-dimensional hybrid model for magnetic field calculation in electrical machines: exact subdomain technique and magnetic equivalent circuit

Ladghem-Chikouche

Boughrara

Dubas

et al. 2021

COMPEL

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Purpose The purpose of this paper is to propose a two-dimensional (2-D) hybrid analytical model (HAM) in polar coordinates, combining a 2-D exact subdomain (SD) technique and magnetic equivalent circuit (MEC), for the magnetic field calculation in electrical machines at no-load and on-load conditions. Design/methodology/approach In this paper, the proposed technique is applied to dual-rotor permanent magnet (PM) synchronous machines. The magnetic field is computed by coupling an exact analytical model (AM), based on the formal resolution of Maxwell’s equations applied in subdomains, in regions at unitary relative permeability with a MEC, using a nodal-mesh formulation (i.e. Kirchhoff's current law), in ferromagnetic regions. The AM and MEC are connected in both directions (i.e. r- and theta-edges) of the (non-)periodicity direction (i.e. in the interface between teeth regions and all its adjacent regions as slots and/or air-gap). To provide accurate solutions, the current density distribution in slot regions is modeled by using Maxwell’s equations instead to MEC and characterized by an equivalent magnetomotive force (MMF) located in the slots, teeth and yoke. Findings It is found that whatever the iron core relative permeability, the developed HAM gives accurate results for both no-load and on-load conditions. Finite element analysis demonstrates the excellent results of the developed technique. Originality/value The main objective of this paper is to achieve a direct coupling between the AM and MEC in both directions (i.e. r- and theta-edges). The current density distribution is modeled by using Maxwell’s equations instead to MEC and characterized by an MMF.

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Convergence Analysis of the Fixed-Point Method With the Hybrid Analytical Modeling for 2-D Nonlinear Magnetostatic Problems

Abstract: Convergence analysis of the fixed-point method with the hybrid analytical modeling for 2-D nonlinear magnetostatic problems. IEEE Transactions on Magnetics, 57(2), [9201167].

Cited by 9 publications

References 15 publications

Introduction to mesh based generated lumped parameter models for electromagnetic problems

Introduction to mesh based generated lumped parameter models for electromagnetic problems

A New Loop-Based Hybrid Analytical Modeling Formulation and the Selection of Its Nonlinear Solver

Two-dimensional hybrid model for magnetic field calculation in electrical machines: exact subdomain technique and magnetic equivalent circuit

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