Eddy Current Modeling in Multiply Connected Regions via a Full-Wave Solver Based on the Quasi-Helmholtz Projectors
| Autor: | Francesco P. Andriulli, Lyes Rahmouni, Tiffany L. Chhim, John Erick Ortiz Guzman, Adrien Merlini |
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| Přispěvatelé: | Politecnico di Torino = Polytechnic of Turin (Polito), Département Micro-Ondes (IMT Atlantique - MO), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), This work was supported in part by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under Grant 724846 (Project 321), and in part by the Italian Ministry of Education, University and Research within the Programunder Grant PRIN2017, Grant 2017HZJXSZ, and Grant CUP:E64I19002530001. |
| Rok vydání: | 2020 |
| Předmět: |
Computer science
010103 numerical & computational mathematics 02 engineering and technology Lossy compression Topology 01 natural sciences Stability (probability) lcsh:Telecommunication law.invention [PHYS.PHYS.PHYS-COMP-PH]Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph] symbols.namesake preconditioning law lcsh:TK5101-6720 0202 electrical engineering electronic engineering information engineering Eddy current 0101 mathematics Eddy currents preconditioning full-wave multiply connected quasi-Helmholtz decomposition Electrical conductor ComputingMilieux_MISCELLANEOUS Eddy currents 020206 networking & telecommunications Solver full-wave Range (mathematics) Helmholtz free energy symbols multiply connected Frequency modulation quasi-Helmholtz decomposition |
| Zdroj: | IEEE Open Journal of Antennas and Propagation IEEE Open Journal of Antennas and Propagation, Vol 1, Pp 534-548 (2020) IEEE Open Journal of Antennas and Propagation, IEEE, 2020, 1, pp.534-548. ⟨10.1109/OJAP.2020.3027186⟩ |
| ISSN: | 2637-6431 |
| Popis: | Eddy currents are central to several industrial applications and there is a strong need for their efficient modeling. Existing eddy current solution strategies are based on a quasi-static approximation of Maxwell's equations for lossy conducting objects and thus their applicability is restricted to low frequencies. On the other hand, available full-wave solvers such as the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equation become highly ill-conditioned and inaccurate in eddy current settings. This work presents a new well-conditioned and stable full-wave formulation which encompasses the simulation of eddy currents. Our method is built upon the PMCHWT equation and thus remains valid over the entire frequency range. Moreover, our scheme is also compatible with structures containing holes and handles (multiply connected geometries). The effectiveness of quasi-Helmholtz projectors is leveraged to obtain a versatile solver, which is computationally efficient and allows for a seamless transition between low and high frequencies. The stability and accuracy of the new method are demonstrated both theoretically and through numerical experiments on canonical and realistic structures. |
| Databáze: | OpenAIRE |
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