• Title/Summary/Keyword: Modified Magnetic Vector Potential

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Effects of Coulomb Gauge Condition and Current Continuity Condition on 3-Dimensional FE Analysis for Eddy Current Problems (3차원 와전류문제의 유한요소해석에서 쿨롱게이지조건과 전류연속조건의 영향)

  • Lee, Hyang-Beom
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.54 no.10
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    • pp.483-491
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    • 2005
  • To solve the 3D eddy current problems by using FE(finite element) method with MVP(magnetic vector potential) and electric scalar potential, Coulomb gauge condition and current continuity condition have to be considered. Coulomb gauge condition enforced on existing FE formulations to insure the uniqueness of MVP looks unnatural and current continuity condition which can be driven from Ampere's law looks unnecessary. So in this paper the effect of two conditions on FE formulations are investigated in order to help to obtain accurate numerical simulation results.

Characteristic Analysis of Eddy Current Testing According to the finite Element formulations (와전류탐상의 3차원 유한요소 정식화에 따른 특성 분석)

  • Lee, Hyang-Beom
    • Journal of the Korean Society for Nondestructive Testing
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    • v.25 no.5
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    • pp.384-390
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    • 2005
  • In the numerical analysis of En (eddy current testing) using 3-dimensional FEM (finite element method), MVP (magnetic vector potential) and electric scalar potential are used as variables in conductor region. Three dimensional modeling makes number of unknowns increase, and the degree of freedom of variables also makes number of unknowns increase. Because of this reason, modified UP is used to reduce the number of unknowns. Gauge condition is enforced artificially on existing FEM formulations to insure the uniqueness of MVP. So in this paper the effects of these FEM formulation procedures on ECT are investigated and the appropriate FEM formulation is suggested for accurate ECT simulation.

Three Demensional magnetostatic Analysis Using Tetrahedral Edge Elements (사면체 변요소를 이용한 3차원 정자장 해석)

  • Kim, Dong-Soo;Lee, Hong-Bae;Choi, Kyung;Jung, Hyun-Kyo;Hahn, Song-Yop
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.8
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    • pp.751-756
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    • 1991
  • In this paper, three dimensional magnetostatic fields are analysed using tetrahedral edge elements, magnetic vector potential and modified formulation of weighted residual method. If we define unknown variables in mesh edges, some conditions, such as Coulomb gauge condition in magnetic vector potential are naturally satisfied. So with less memory space, we can obtain more accurate solutions than the method where unknown variables are defined at nodes. Reliability and utility of this method are verified in two examples.

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Performance Characteristics of Tubular Linear Iduction Motor (동기형 직선유도전동기의 동작특성)

  • Lee, Eun-Ung
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.3
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    • pp.153-162
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    • 1987
  • The purpose of this paper is to analysis and develop theoretically the characteristics of tubular linear induction motor, which is a special industrial motor that generates directly thrust force from electrical power. The Poisson equation about vector potential which is created by the application of Maxwell electromagnetic equation with the speed considered, results in modified Bessel equation by the assumption that is applied to each region of the experimental motor. Vector potential, magnetic flux density, secondary current, and thrust force according to its region respectively were found out by substituting boundary condition for this equation and rearranging. Besides, a attendant materials, that is, thermal characteristic, which is one of the characteristics under the operation of experimental motor each part's magnetic flux distribution characteristics within active zone, the required time for reciprocating motion, and variation of power factor vs. a slip were found.

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3D Finite Element Analysis of Eddy Current Using Edge Elements (변요소법을 이용한 3차원 와전류 문제의 유한요소 해석)

  • Hong, S.P.;Ryu, J.S.;Koh, C.S.
    • Proceedings of the KIEE Conference
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    • 2000.11b
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    • pp.262-264
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    • 2000
  • A numerical method for the analysis of 3D eddy current in conductors due to applied time varying field is suggested using the finite element method. In the approximation of the field quantifies, the edge element is used, because it reduce the required computer memory and the computing time compared with the nodal elements. With edge elements, furthermore, the field governing equations become simple because the electric scalar potential ${\phi}$ can be set to zero. The modified magnetic vector potential($A^*$) is used as a state variable. The analysed results are compared with the experimentally measured ones for the TEAM workshop problem3.

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