T-Ω formulation for eddy-current problems in multiply connected regions

2002 ◽  
Vol 38 (2) ◽  
pp. 557-560 ◽  
Author(s):  
Z. Ren
Keyword(s):  
Eddy Current ◽  
Multiply Connected ◽  
Multiply Connected Regions

scholarly journals A Novel h–φ Approach for Solving Eddy–Current Problems in Multiply Connected Regions

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 170659-170671 ◽  
Author(s):  
Federico Moro ◽  
Jasmin Smajic ◽  
Lorenzo Codecasa
Keyword(s):  
Eddy Current ◽  
Multiply Connected ◽  
Multiply Connected Regions

A novel variant of the H-Φ field formulation for magnetostatic and eddy current problems

2019 ◽  
Vol 38 (5) ◽  
pp. 1545-1561 ◽  
Author(s):  
Jasmin Smajic
Keyword(s):  
Magnetic Field ◽  
Numerical Method ◽  
Frequency Domain ◽  
Current Density ◽  
Eddy Current ◽  
Content Type ◽  
Multiply Connected ◽  
Multiply Connected Regions ◽  
Source Current ◽  
Source Current Density

Purpose The paper presents a new variant of the H-Φ field formulation for solving 3-D magnetostatic and frequency domain eddy current problems. The suggested formulation uses the vector and scalar tetrahedral elements within conducting and non-conducting domains, respectively. The presented numerical method is capable of solving multiply connected regions and eliminates the need for computing the source current density and the source magnetic field before the actual magnetostatic and eddy current simulations. The obtained magnetostatic results are verified by comparison against the corresponding results of the standard stationary current distribution analysis combined with the Biot-Savart integration. The accuracy of the eddy current results is demonstrated by comparison against the classical A-A-f approach in frequency domain. Design/methodology/approach The theory and implementation of the new H-Φ magnetostatic and eddy current solver is presented in detail. The method delivers reliable results without the need to compute the source current density and source magnetic field before the actual simulation. Findings The proposed H-Φ produce radically smaller and considerably better conditioned equation systems than the alternative A-A approach, which usually requires the unphysical regularization in terms of a low electric conductivity value within the nonconductive domain. Originality/value The presented numerical method is capable of solving multiply connected regions and eliminates the need for computing the source current density and the source magnetic field before the actual magnetostatic and eddy current simulations.

scholarly journals Eddy Current Modeling in Multiply Connected Regions via a Full-Wave Solver Based on the Quasi-Helmholtz Projectors

2020 ◽  
Vol 1 ◽  
pp. 534-548
Author(s):  
Tiffany L. Chhim ◽  
Adrien Merlini ◽  
Lyes Rahmouni ◽  
John Erick Ortiz Guzman ◽  
Francesco P. Andriulli
Keyword(s):  
Eddy Current ◽  
Multiply Connected ◽  
Full Wave ◽  
Multiply Connected Regions

scholarly journals A characterization of internal functions on multiply connected regions

1984 ◽  
Vol 96 ◽  
pp. 23-28
Author(s):  
Lee A. Rubel
Keyword(s):  
Hardy Spaces ◽  
Multiply Connected ◽  
Multiply Connected Regions ◽  
Internal Function

The notion of internal function enters naturally in the study of factorization of function in Lumer’s Hardy spaces—see [RUB], where this aspect is developed in some detail.

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