Consideration of eddy currents in multi-conductor windings using the finite element method and the elimination of inner nodes

Szucs, Aron; Arkkio, Antero

doi:10.1109/20.767151

Cited by 10 publications

(2 citation statements)

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“…The three basic equations are the finite element equation (1) governing the electromagnetic field, the circuit equations (2) and extra equations (3) to account for eddy-currents in the stator conductors. The variables stand for the magnetic vector potential, the voltage and current of phase , and the voltage on the conductor number respectively.…”

Section: The Eddy-current Problem Formulationmentioning

confidence: 99%

“…Based on the magnetic linearity of the winding regions the creation of a numerical macro element is suggested. The Gauss elimination of the nodes inside the finite element model of the multi conductor winding resulted in significantly decreased problem size and in accelerated solution of the system of equations [2]. The linear variables eliminated from the winding region were excluded from the nonlinear iteration process [3].…”

Section: Introductionmentioning

confidence: 99%

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Macro elements in the finite element analysis of multi-conductor eddy-current problems

Szucs¹

2000

IEEE Trans. Magn.

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The use of macro elements which replace the multiconductor winding in the time-stepping finite element analysis of electrical machines is presented in the paper. The effect of eddycurrents in the windings is considered by a traditional finite element formulation combined with the so called elimination of inner nodes to achieve fast solution. The elimination method is incorporated into time stepping analysis in such a way that the creation of the numerical macro element is performed only once in a whole time stepping analysis.Index Terms-Eddy currents, finite element methods, machine windings, macro elements, skin effect.

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Section: The Eddy-current Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%