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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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Published in: | IEEE transactions on magnetics 2000-07, Vol.36 (4), p.760-764 |
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container_title | IEEE transactions on magnetics |
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creator | Bandelier, B. Daveau, C. Ashtiani, P.H. Rais, A. Rioux-Damidau, F. |
description | 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. |
doi_str_mv | 10.1109/20.877558 |
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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</subject><ispartof>IEEE transactions on magnetics, 2000-07, Vol.36 (4), p.760-764</ispartof><rights>2001 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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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.</description><subject>Applied classical electromagnetism</subject><subject>Boundary conditions</subject><subject>Circuits</subject><subject>Computation</subject><subject>Conductivity</subject><subject>Discretization</subject><subject>Eddy currents</subject><subject>Electromagnetism; electron and ion optics</subject><subject>Electronic circuits</subject><subject>Electrostatics. Poisson and laplace equations, boundary-value problems</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Inductors</subject><subject>Magnetic fields</subject><subject>Magnetic shielding</subject><subject>Magnetism</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Permeability</subject><subject>Physics</subject><subject>Scalars</subject><subject>Streams</subject><subject>Surface impedance</subject><subject>Voltage</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><recordid>eNqFkUtLxDAUhYMoOD4Wbl0VBdFFx6RJmmQpgy8YcOOsS5reMBn6MmkX_ntTOszChW4Scu53DtwchK4IXhKC1WOGl1IIzuURWhDFSIpxro7RAmMiU8VydorOQtjFJ-MEL9B2EyDpbBIGD7pJ7NiawXVtSGznk2ELiemafhz0JE6cGb2HdgiJa-M4HsZ5M7ooVDCAb1x7QCe3a3qodGsgXKATq-sAl_v7HG1enj9Xb-n64_V99bRODVX5kDJegaRlxTUTRuKs0qIipiyFYMYCIVSBqkzJOReaU5orWXLAxiohrIwaPUd3c27vu68RwlA0Lhioa91CN4Yik9HLqPgfpJJhkuEI3v8JEkwJJVmey4je_EJ33ejbuG8hJScqlpBF6GGGjO9C8GCL3rtG---YVEwlFhku5hIje7sP1MHo2vr4ly4cDEIxKWmkrmfKAcBhuI_4AdCfo7E</recordid><startdate>20000701</startdate><enddate>20000701</enddate><creator>Bandelier, B.</creator><creator>Daveau, C.</creator><creator>Ashtiani, P.H.</creator><creator>Rais, A.</creator><creator>Rioux-Damidau, F.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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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.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/20.877558</doi><tpages>5</tpages></addata></record> |
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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 |
title | Use of stream functions for the computation of currents in thin circuits determination of the impedances |
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