A novel gauged vector potential formulation for 3-D motional eddy-current problems using edge elements

Yanpu Zhao; Weinong Fu

doi:10.1109/CEFC.2016.7815897

A novel gauged vector potential formulation for 3-D motional eddy-current problems using edge elements

Yanpu Zhao, Weinong Fu

The Hong Kong Polytechnic University

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

ï¿½ 2016 IEEE. How to impose gauge condition properly to ensure the uniqueness of the magnetic vector potential (MVP) formulation is a key problem to investigate. Traditional Coulomb gauged formulation using penalty technique is not valid for edge elements since the divergence of the edge element basis is zero within each element. In this paper, a novel gauged formulation for motional eddy-current problems using edge element is proposed. For the proposed method, the resultant linear system is uniquely solvable by direct solvers robustly. A numerical example is presented to showcase the accuracy and usefulness of the proposed method for practical engineering computation.

Original language	English
Title of host publication	IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation
Publisher	IEEE
ISBN (Electronic)	9781509010325
DOIs	https://doi.org/10.1109/CEFC.2016.7815897
Publication status	Published - 12 Jan 2017
Event	17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016 - Hotel Hilton Miami Downtown, Miami, United States Duration: 13 Nov 2016 → 16 Nov 2016

Conference

Conference	17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016
Country/Territory	United States
City	Miami
Period	13/11/16 → 16/11/16

Keywords

Coulomb gauge
Eddy-current
Edge element
Motion

ASJC Scopus subject areas

Computational Mathematics
Instrumentation
Electrical and Electronic Engineering

More information

10.1109/CEFC.2016.7815897

Cite this

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abstract = "{\"i}¿½ 2016 IEEE. How to impose gauge condition properly to ensure the uniqueness of the magnetic vector potential (MVP) formulation is a key problem to investigate. Traditional Coulomb gauged formulation using penalty technique is not valid for edge elements since the divergence of the edge element basis is zero within each element. In this paper, a novel gauged formulation for motional eddy-current problems using edge element is proposed. For the proposed method, the resultant linear system is uniquely solvable by direct solvers robustly. A numerical example is presented to showcase the accuracy and usefulness of the proposed method for practical engineering computation.",

keywords = "Coulomb gauge, Eddy-current, Edge element, Motion",

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Zhao, Y & Fu, W 2017, A novel gauged vector potential formulation for 3-D motional eddy-current problems using edge elements. in IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation., 7815897, IEEE, 17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016, Miami, United States, 13/11/16. https://doi.org/10.1109/CEFC.2016.7815897

A novel gauged vector potential formulation for 3-D motional eddy-current problems using edge elements. / Zhao, Yanpu; Fu, Weinong.
IEEE CEFC 2016 - 17th Biennial Conference on Electromagnetic Field Computation. IEEE, 2017. 7815897.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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N2 - ï¿½ 2016 IEEE. How to impose gauge condition properly to ensure the uniqueness of the magnetic vector potential (MVP) formulation is a key problem to investigate. Traditional Coulomb gauged formulation using penalty technique is not valid for edge elements since the divergence of the edge element basis is zero within each element. In this paper, a novel gauged formulation for motional eddy-current problems using edge element is proposed. For the proposed method, the resultant linear system is uniquely solvable by direct solvers robustly. A numerical example is presented to showcase the accuracy and usefulness of the proposed method for practical engineering computation.

AB - ï¿½ 2016 IEEE. How to impose gauge condition properly to ensure the uniqueness of the magnetic vector potential (MVP) formulation is a key problem to investigate. Traditional Coulomb gauged formulation using penalty technique is not valid for edge elements since the divergence of the edge element basis is zero within each element. In this paper, a novel gauged formulation for motional eddy-current problems using edge element is proposed. For the proposed method, the resultant linear system is uniquely solvable by direct solvers robustly. A numerical example is presented to showcase the accuracy and usefulness of the proposed method for practical engineering computation.

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M3 - Conference article published in proceeding or book

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PB - IEEE

T2 - 17th Biennial IEEE Conference on Electromagnetic Field Computation, IEEE CEFC 2016

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A novel gauged vector potential formulation for 3-D motional eddy-current problems using edge elements

Abstract

Conference

Keywords

ASJC Scopus subject areas

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