Acceleration of sweeping frequency in eddy current computation

Mingyang Lu; Noushin Karimian; Anthony Peyton; Wuliang Yin

Acceleration of sweeping frequency in eddy current computation

Mingyang Lu, Noushin Karimian, Anthony Peyton, Wuliang Yin

Department of Electrical & Electronic Engineering

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, a novel method of accelerating the computation for frequency sweeping in eddy current calculation using finite-element method (FEM) is included, which separates the solution into two steps. First the background field is calculated and stored for later use. Then the test object is meshed with scripts to sequence the elements, nodes, as well as vectorial edges and evaluate the elemental matrices for an arbitrary tetrahedral element. Finally, with the boundary conditions, use the Biot-Savart's law as well as Galerkin equations to obtain the magnetic vector potential of each edge and electric scalar potential of each node. Consequently, the electric field, eddy current and electric scalar potential of each point can be obtained. The computational process of the matrix equation under each frequency is accelerated by the Conjugate Gradients Stabilised (CGS) method with an optimised initial guess. This treatment could be much faster than the convergence of the CGS solving process with the same relative residuals. Consequently, the iteration numbers are much reduced with the same threshold.

Original language	English
Title of host publication	55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016
Publisher	British Institute of Non-Destructive Testing
Pages	494-507
Number of pages	14
ISBN (Electronic)	9781510830943
Publication status	Published - 1 Jan 2016
Event	55th Annual Conference of the British Institute of Non-Destructive Testing - Nottingham, United Kingdom Duration: 12 Sept 2016 → 14 Sept 2016

Publication series

Name	55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016

Conference

Conference	55th Annual Conference of the British Institute of Non-Destructive Testing
Abbreviated title	NDT 2016
Country/Territory	United Kingdom
City	Nottingham
Period	12/09/16 → 14/09/16

Keywords

Computation accelerating
Eddy current calculation
Finite-element method (FEM)
Frequency sweeping

Cite this

@inproceedings{7229989004984519b25a507d9172d5ca,

title = "Acceleration of sweeping frequency in eddy current computation",

abstract = "In this paper, a novel method of accelerating the computation for frequency sweeping in eddy current calculation using finite-element method (FEM) is included, which separates the solution into two steps. First the background field is calculated and stored for later use. Then the test object is meshed with scripts to sequence the elements, nodes, as well as vectorial edges and evaluate the elemental matrices for an arbitrary tetrahedral element. Finally, with the boundary conditions, use the Biot-Savart's law as well as Galerkin equations to obtain the magnetic vector potential of each edge and electric scalar potential of each node. Consequently, the electric field, eddy current and electric scalar potential of each point can be obtained. The computational process of the matrix equation under each frequency is accelerated by the Conjugate Gradients Stabilised (CGS) method with an optimised initial guess. This treatment could be much faster than the convergence of the CGS solving process with the same relative residuals. Consequently, the iteration numbers are much reduced with the same threshold.",

keywords = "Computation accelerating, Eddy current calculation, Finite-element method (FEM), Frequency sweeping",

author = "Mingyang Lu and Noushin Karimian and Anthony Peyton and Wuliang Yin",

year = "2016",

month = jan,

day = "1",

language = "English",

series = "55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016",

publisher = "British Institute of Non-Destructive Testing",

pages = "494--507",

booktitle = "55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016",

address = "United Kingdom",

note = "55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016 ; Conference date: 12-09-2016 Through 14-09-2016",

}

Lu, M, Karimian, N, Peyton, A & Yin, W 2016, Acceleration of sweeping frequency in eddy current computation. in 55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016. 55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016, British Institute of Non-Destructive Testing, pp. 494-507, 55th Annual Conference of the British Institute of Non-Destructive Testing, Nottingham, United Kingdom, 12/09/16.

Acceleration of sweeping frequency in eddy current computation. / Lu, Mingyang; Karimian, Noushin; Peyton, Anthony et al.
55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016. British Institute of Non-Destructive Testing, 2016. p. 494-507 (55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016).

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Acceleration of sweeping frequency in eddy current computation

AU - Lu, Mingyang

AU - Karimian, Noushin

AU - Peyton, Anthony

AU - Yin, Wuliang

PY - 2016/1/1

Y1 - 2016/1/1

N2 - In this paper, a novel method of accelerating the computation for frequency sweeping in eddy current calculation using finite-element method (FEM) is included, which separates the solution into two steps. First the background field is calculated and stored for later use. Then the test object is meshed with scripts to sequence the elements, nodes, as well as vectorial edges and evaluate the elemental matrices for an arbitrary tetrahedral element. Finally, with the boundary conditions, use the Biot-Savart's law as well as Galerkin equations to obtain the magnetic vector potential of each edge and electric scalar potential of each node. Consequently, the electric field, eddy current and electric scalar potential of each point can be obtained. The computational process of the matrix equation under each frequency is accelerated by the Conjugate Gradients Stabilised (CGS) method with an optimised initial guess. This treatment could be much faster than the convergence of the CGS solving process with the same relative residuals. Consequently, the iteration numbers are much reduced with the same threshold.

AB - In this paper, a novel method of accelerating the computation for frequency sweeping in eddy current calculation using finite-element method (FEM) is included, which separates the solution into two steps. First the background field is calculated and stored for later use. Then the test object is meshed with scripts to sequence the elements, nodes, as well as vectorial edges and evaluate the elemental matrices for an arbitrary tetrahedral element. Finally, with the boundary conditions, use the Biot-Savart's law as well as Galerkin equations to obtain the magnetic vector potential of each edge and electric scalar potential of each node. Consequently, the electric field, eddy current and electric scalar potential of each point can be obtained. The computational process of the matrix equation under each frequency is accelerated by the Conjugate Gradients Stabilised (CGS) method with an optimised initial guess. This treatment could be much faster than the convergence of the CGS solving process with the same relative residuals. Consequently, the iteration numbers are much reduced with the same threshold.

KW - Computation accelerating

KW - Eddy current calculation

KW - Finite-element method (FEM)

KW - Frequency sweeping

UR - http://www.scopus.com/inward/record.url?scp=85009875688&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85009875688

T3 - 55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016

SP - 494

EP - 507

BT - 55th Annual Conference of the British Institute of Non-Destructive Testing, NDT 2016

PB - British Institute of Non-Destructive Testing

T2 - 55th Annual Conference of the British Institute of Non-Destructive Testing

Y2 - 12 September 2016 through 14 September 2016

ER -

Acceleration of sweeping frequency in eddy current computation

Abstract

Publication series

Conference

Keywords

Other files and links

Fingerprint

Electromagnetic Sensing Group

Cite this

Acceleration of sweeping frequency in eddy current computation

Abstract

Publication series

Conference

Keywords

Other files and links

Fingerprint

Projects

Electromagnetic Sensing Group

Cite this