Subramanian, S and Kumar, U and Bhowmick, S (2022) On Overcoming the Transverse Boundary Error of the SU/PG Scheme for Moving Conductor Problems. In: IEEE Transactions on Magnetics, 58 (1).
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Abstract
Conductor moving in magnetic field is quite common in electrical equipment. The numerical simulation of such problem is vital in their design and analysis of electrical equipment. The Galerkin finite element method (GFEM) is a commonly employed simulation tool, nonetheless, due to its inherent numerical instability at higher velocities, the GFEM requires upwinding techniques to handle moving conductor problems. The streamline upwinding/Petrov-Galerkin (SU/PG) scheme is a widely acknowledged upwinding technique, despite its error peaking at the transverse boundary. This error at the transverse boundary is found to be leading to non-physical solutions. Several remedies have been suggested in the allied fluid dynamics literature, which employs non-linear, iterative techniques. The present work attempts to address this issue, by retaining the computational efficiency of the GFEM. By suitable analysis, it is shown that the source of the problem can be attributed to the Coulomb's gauge. Therefore, to solve the problem, the Coulomb's gauge is taken out from the formulation and the associated weak form is derived. The effectiveness of this technique is demonstrated with pertinent numerical results.
| Item Type: | Journal Article |
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| Publication: | IEEE Transactions on Magnetics |
| Publisher: | Institute of Electrical and Electronics Engineers Inc. |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Computational efficiency; Errors; Finite element method; Gages; Integral equations; Iterative methods; Method of moments; Numerical methods, Boundary errors; Conductor; Electrical equipment; Galerkin finite element methods; Galerkin scheme; Moving conductors; Petrov-Galerkin; Streamline upwinding/petrov-galerkin scheme; Transverse boundary error; Upwinding, Galerkin methods |
| Department/Centre: | Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology) Division of Electrical Sciences > Electrical Engineering |
| Date Deposited: | 08 Jul 2022 05:55 |
| Last Modified: | 08 Jul 2022 05:55 |
| URI: | https://eprints.iisc.ac.in/id/eprint/74284 |
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