scholarly journals 3D eddy currents computation by BEM using the modified magnetic vector potential and the reduced magnetic scalar potential

2019 ◽  
Vol 33 (5) ◽  
Author(s):  
Quang‐Anh Phan ◽  
Gerard Meunier ◽  
Olivier Chadebec ◽  
Jean‐Michel Guichon ◽  
Bertrand Bannwarth
Keyword(s):  
Vector Potential ◽  
Eddy Currents ◽  
Scalar Potential ◽  
Magnetic Vector Potential ◽  
Magnetic Vector

A 3-D magnetic vector potential formulation taking eddy currents in lamination stacks into account

2003 ◽  
Vol 39 (3) ◽  
pp. 1424-1427 ◽  
Author(s):  
P. Dular ◽  
J. Gyselinck ◽  
C. Geuzaine ◽  
N. Sadowski ◽  
J.P.A. Bastos
Keyword(s):  
Vector Potential ◽  
Eddy Currents ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Potential Formulation

Transient magnetic field formulation for solid source conductors

2020 ◽  
Vol 64 (1-4) ◽  
pp. 1539-1545
Author(s):  
Georg Wimmer ◽  
Sebastian Lange
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Vector Potential ◽  
Numerical Scheme ◽  
Eddy Currents ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Time Step ◽  
Azimuthal Component ◽  
Transient Magnetic Fields

The formulation for the azimuthal component of the magnetic vector potential for axisymmetric magnetostatic applications is well known. However for transient magnetic fields with solid source conductors and eddy currents the formulation has to be revised. A variable transformation is introduced to remove the singularity from the numerical scheme. The numerical error cannot accumulate and is put instead to the postprocessing at every time step.

Effects of 3D Eddy Current Finite Element Formulations on ECT Signals

2006 ◽  
Vol 321-323 ◽  
pp. 464-467
Author(s):  
Hyang Beom Lee
Keyword(s):  
Finite Element ◽  
Eddy Current ◽  
Vector Potential ◽  
Nuclear Power ◽  
Scalar Potential ◽  
Gauge Condition ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Special Assumption ◽  
Finite Element Formulations

To obtain the simulated eddy current testing (ECT) signals of steam generator (SG) in nuclear power plant (NPP), nodal-based finite element (FE) analysis with magnetic vector potential (MVP) is usually used. To perform the numerical analysis, we derive the governing equation in terms of MVP and electric scalar potential (ESP) from Maxwell’s equations. To insure the uniqueness of solution, gauge condition has to be considered. In eddy current problems, Coulomb gauge condition (CGC) is usually used. In 2-D or 3-D axis-symmetric analysis, CGC is included during formulation and ESP is eliminated using some special assumption. Because CGC is not used during the formulation in 3-D analysis, we have to include artificially. And because of the heavy computation cost for 3-D analysis modified magnetic vector potential (MMVP) is used by elimination ESP. In this paper, effects of artificial treatment of CGC and elimination of ESP on ECT signal are investigated in order to help for obtaining accurate numerical simulation results.

scholarly journals A note on ”a note on the magnetic vector potential”

2018 ◽  
Vol 69 (3) ◽  
pp. 259-260
Author(s):  
L’ubomír Šumichrast ◽  
Rastislav Dosoudil
Keyword(s):  
Vector Potential ◽  
Point Charge ◽  
Scalar Potential ◽  
Short Paper ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Rigorous Approach ◽  
Alternative Approach ◽  
Electromagnetic Field Theory ◽  
Paper Author

Abstract In the recently published short paper author deals with the derivation of the scalar potential pertaining to the point charge as well as of the vector potential pertaining to the point current. He shows his alternative approach and compares it to the ”traditional” methods commonly used in textbooks. Here we want to show that use of the generalised functions (symbolic functions, distributions) in the domain of electromagnetic field theory provides more straightforward and more rigorous approach to the problem.

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