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Area Circuit theory / Circuit elements and their characteristics

IEV ref131-12-37

Symbol
Λ

en
permeance matrix
for a set of n magnetic circuit elements forming a magnetic circuit, matrix expressing the magnetic fluxes Φi in the elements in terms of the current linkages Өj of the elements:

( Φ 1 Φ 2 Φ n )=( Λ 11 Λ 12 Λ 1n Λ 21 Λ n1 Λ nn )( Θ 1 Θ 2 Θ n ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaabmaabaqbaeqabq qaaaaabaGaeuOPdy0aaSbaaSqaaiaaigdaaeqaaaGcbaGaeuOPdy0a aSbaaSqaaiaaikdaaeqaaaGcbaGaeSO7I0eabaGaeuOPdy0aaSbaaS qaaiaad6gaaeqaaaaaaOGaayjkaiaawMcaaiabg2da9maabmaabaqb aeqabqabaaaaaeaacqqHBoatdaWgaaWcbaGaaGymaiaaigdaaeqaaa GcbaGaeu4MdW0aaSbaaSqaaiaaigdacaaIYaaabeaaaOqaaiablAci lbqaaiabfU5amnaaBaaaleaacaaIXaGaamOBaaqabaaakeaacqqHBo atdaWgaaWcbaGaaGOmaiaaigdaaeqaaaGcbaaabaaabaGaeSO7I0ea baGaeSO7I0eabaaabaaabaGaeSO7I0eabaGaeu4MdW0aaSbaaSqaai aad6gacaaIXaaabeaaaOqaaiablAcilbqaaiablAcilbqaaiabfU5a mnaaBaaaleaacaWGUbGaamOBaaqabaaaaaGccaGLOaGaayzkaaGaey yXIC9aaeWaaeaafaqabeabbaaaaeaacqqHyoqudaWgaaWcbaGaaGym aaqabaaakeaacqqHyoqudaWgaaWcbaGaaGOmaaqabaaakeaacqWIUl staeaacqqHyoqudaWgaaWcbaGaamOBaaqabaaaaaGccaGLOaGaayzk aaaaaa@6D1C@

Note 1 – A permeance matrix is always symmetric and positive definite.

Note 2 – In electromagnetism, the permeance matrix can be defined, for a set of closed paths, as the matrix expressing linear relations between the magnetic fluxes through the surfaces bounded by the paths and the current linkages in the paths.


fr
matrice des perméances, f
pour un ensemble de n éléments de circuit magnétiques formant un circuit magnétique, matrice exprimant les flux magnétiques Φi dans les éléments en fonction des courants totalisés Өj des éléments:

( Φ 1 Φ 2 Φ n )=( Λ 11 Λ 12 Λ 1n Λ 21 Λ n1 Λ nn )( Θ 1 Θ 2 Θ n ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaabmaabaqbaeqabq qaaaaabaGaeuOPdy0aaSbaaSqaaiaaigdaaeqaaaGcbaGaeuOPdy0a aSbaaSqaaiaaikdaaeqaaaGcbaGaeSO7I0eabaGaeuOPdy0aaSbaaS qaaiaad6gaaeqaaaaaaOGaayjkaiaawMcaaiabg2da9maabmaabaqb aeqabqabaaaaaeaacqqHBoatdaWgaaWcbaGaaGymaiaaigdaaeqaaa GcbaGaeu4MdW0aaSbaaSqaaiaaigdacaaIYaaabeaaaOqaaiablAci lbqaaiabfU5amnaaBaaaleaacaaIXaGaamOBaaqabaaakeaacqqHBo atdaWgaaWcbaGaaGOmaiaaigdaaeqaaaGcbaaabaaabaGaeSO7I0ea baGaeSO7I0eabaaabaaabaGaeSO7I0eabaGaeu4MdW0aaSbaaSqaai aad6gacaaIXaaabeaaaOqaaiablAcilbqaaiablAcilbqaaiabfU5a mnaaBaaaleaacaWGUbGaamOBaaqabaaaaaGccaGLOaGaayzkaaGaey yXIC9aaeWaaeaafaqabeabbaaaaeaacqqHyoqudaWgaaWcbaGaaGym aaqabaaakeaacqqHyoqudaWgaaWcbaGaaGOmaaqabaaakeaacqWIUl staeaacqqHyoqudaWgaaWcbaGaamOBaaqabaaaaaGccaGLOaGaayzk aaaaaa@6D1C@

Note 1 – Une matrice des perméances est toujours symétrique et définie positive.

Note 2 – En électromagnétisme, la matrice des perméances peut être définie, pour un ensemble de contours fermés, comme la matrice exprimant les relations linéaires entre les flux magnétiques qui traversent des surfaces limitées par les contours et les courants totalisés dans ces contours.


ar
مصفوفة نفاذية

de
Permeanzmatrix, f

es
matriz de permeancias

it
matrice delle permeanze

ja
パーミアンス行列

no
nb permeansmatrise

nn permeansmatrise

pl
macierz permeancji

pt
matriz de permeâncias

sv
permeansmatris

zh
磁导矩阵

Publication date: 2002-06
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