Use of stream functions for the computation of currents in thin circuits determination of the impedances

We compute the currents appearing in a circuit of very small thickness when a voltage is applied to its ends or when it is put into an inductive electric field. The discretization of the problem uses stream functions and then there is only one scalar variable related to each node of the mean surface...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2000-07, Vol.36 (4), p.760-764
Main Authors: Bandelier, B., Daveau, C., Ashtiani, P.H., Rais, A., Rioux-Damidau, F.
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Boundary conditions
Circuits
Computation
Conductivity
Discretization
Eddy currents
Electromagnetism
electron and ion optics
Electronic circuits
Electrostatics. Poisson and laplace equations, boundary-value problems
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inductors
Magnetic fields
Magnetic shielding
Magnetism
Mathematical analysis
Mathematical models
Permeability
Physics
Scalars
Streams
Surface impedance
Voltage
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Summary:We compute the currents appearing in a circuit of very small thickness when a voltage is applied to its ends or when it is put into an inductive electric field. The discretization of the problem uses stream functions and then there is only one scalar variable related to each node of the mean surface of the circuit; the computation is very fast. Moreover, it is immediately usable to deduce the global current which appears and then it is very easy to obtain the circuit impedance.
ISSN:0018-9464
1941-0069
DOI:10.1109/20.877558