A nonlinear eddy current integral formulation in terms of a two-component current density vector potential

Albanese, R.; Hantila, Florea I.; Rubinacci, G.

doi:10.1109/20.497357

Cited by 23 publications

(18 citation statements)

References 8 publications

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“…Moreover, under appropriate conditions that are satisfied in many applicative situations, the composite map GT is contractive and, therefore, the solution of equation (3) exists, is unique and it is the limit of the sequence defined by Albanese and Rubinacci (1990) and Albanese et al (1996):…”

Section: Analysis Of End Windingsmentioning

confidence: 98%

Electromechanical analysis of end windings in turbo generators

Albanese

Calvano

DalMut

et al. 2011

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

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Purpose - The purpose of this paper is to present a numerical approach for the computation of 3D magnetic fields in rotating electrical machines. The technique is suitable for the computation of flux densities and forces in the end windings of large synchronous turbo generators (TG). Design/methodology/approach - The magnetostatic FEM model of the generator end windings is carried out for different displacements of the rotor axis to the stator magmetomotive force (MMF) axis. The method is based on a parallel integral formulation allowing to substantially reduce the computational effort. Findings - The computational model requires only the discretization of magnetic materials and conductors and is fast enough for carrying out 3D analyses on a time scale fast enough for the needs of the designer. As far as the present application is concerned, the analysis of a synchronous generator in the class of 300-400 MVA has shown that the most stressed elements of the armature conductors are those closer to the stator ends. The study demonstrates that the maximum stress component on the end windings is axial and is achieved when the MMF is aligned to the direct axis. Originality/value - The present approach combining an efficient integral formulation, the sparsification of the relevant matrices and the parallel implementation of the related algorithms gives rise to an original computational tool that allows a more accurate description of the machine in comparison to other numerical simulations that can be found in the literature

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Section: Analysis Of End Windingsmentioning

confidence: 98%

Electromechanical analysis of end windings in turbo generators

Albanese

Calvano

DalMut

et al. 2011

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

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“…The presence of magnetic materials (linear or non-linear) can be taken into account in the numerical model by means of an additional integral equation in terms of the equivalent magnetic current densities, as described for example in References [9,11].…”

Section: The Integral Formulationmentioning

confidence: 99%

An eddy current integral formulation on parallel computer systems

Fresa

Rubinacci

Ventre

2004

Numerical Meth Engineering

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In this paper, we show how an eddy current volume integral formulation can be used to analyse complex 3D conducting structures, achieving a substantial benefit from the use of a parallel computer system. To this purpose, the different steps of the numerical algorithms in view of their parallelization are outlined to enlighten the merits and the limitations of the proposed approach. Numerical examples are developed in a parallel environment to show the effectiveness of the metho

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“…The magnetization in the ferromagnetic body (the plate in our case and eventually the magnetic core of the exciting coil) is discretized using vectorial-volume elements as (4) In the volume element and they are zero outside the element . Using the integral equation of the current density [7], the following nonlinear system of equations for the unknown vectors and is obtained:…”

Section: Numerical Approachmentioning

confidence: 99%

“…In order to reduce the computational time, the integrals (6) are evaluated by analytical methods only when they are singular, and otherwise by Gaussian quadrature with an order dependent on the distance between elements. In order to choose the integration order , the following evaluation of the Gaussian integration error was considered: (7) where is the function to be integrated.…”

Section: Numerical Approachmentioning

confidence: 99%

Numerical model for eddy-current testing of ferromagnetic steel parts

Dumitrache

Rebican

2002

IEEE Trans. Magn.

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The paper presents an efficient numerical method to simulate eddy-current testing (ECT) of ferromagnetic steel parts. The method is based on the nonlinear integral equation for quasi-stationary electromagnetic field with gauge condition based on tree/cotree decomposition. The eddy-current density in the conductive domain and the magnetization in the ferromagnetic domain are discretized with edge elements and vectorial volume elements, respectively. A simple, but very effective magnetization model of steel in a low field is also presented. The algorithm convergence for solving the forward ECT nonlinear problem with time-periodic boundary conditions is proved.

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A nonlinear eddy current integral formulation in terms of a two-component current density vector potential

Cited by 23 publications

References 8 publications

Electromechanical analysis of end windings in turbo generators

Electromechanical analysis of end windings in turbo generators

An eddy current integral formulation on parallel computer systems

Numerical model for eddy-current testing of ferromagnetic steel parts

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