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Area Circuit theory / Circuit elements and their characteristics

IEV ref131-12-86

en
transmission line
one-dimensionally distributed two-terminal-pair circuit element characterized by lineic inductance l, lineic capacitance c, lineic resistance r and lineic conductance g which may all be functions of the same space coordinate x, where the voltage u(x, t) and the electric current i(x, t), where t is the time, are related by the partial differential equations:

u(x,t) x =ri+l i(x,t) t MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aacqGHsisldaWcaaqaaiabgkGi2kaadwhacaGGOaGaamiEaiaacYca caWG0bGaaiykaaqaaiabgkGi2kaadIhaaaGaeyypa0JaamOCaiaadM gacqGHRaWkcaWGSbWaaSaaaeaacqGHciITcaWGPbGaaiikaiaadIha caGGSaGaamiDaiaacMcaaeaacqGHciITcaWG0baaaaaa@50CE@

i(x,t) x =gu+c u(x,t) t MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aacqGHsisldaWcaaqaaiabgkGi2kaadMgacaGGOaGaamiEaiaacYca caWG0bGaaiykaaqaaiabgkGi2kaadIhaaaGaeyypa0Jaam4zaiaadw hacqGHRaWkcaWGJbWaaSaaaeaacqGHciITcaWGPbGaaiikaiaadIha caGGSaGaamiDaiaacMcaaeaacqGHciITcaWG0baaaaaa@50BA@

Note – For the qualifier "lineic", see IEC 60050-111.


fr
ligne de transmission, f
élément de circuit à deux paires de bornes et à paramètres répartis selon une dimension, caractérisé par une inductance linéique l, une capacité linéique c, une résistance linéique r et une conductance linéique g, qui peuvent toutes être fonction de la même coordonnée spatiale x, et où la tension u(x, t) et le courant i(x, t), où t est le temps, sont liés par les équations aux dérivées partielles:

u(x,t) x =ri+l i(x,t) t MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aacqGHsisldaWcaaqaaiabgkGi2kaadwhacaGGOaGaamiEaiaacYca caWG0bGaaiykaaqaaiabgkGi2kaadIhaaaGaeyypa0JaamOCaiaadM gacqGHRaWkcaWGSbWaaSaaaeaacqGHciITcaWGPbGaaiikaiaadIha caGGSaGaamiDaiaacMcaaeaacqGHciITcaWG0baaaaaa@50CE@

i(x,t) x =gu+c u(x,t) t MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdi9WrpeeC0lXdi9qqqj=hEeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meGabaGacmGadiWaaiWabaabaiaafaaake aacqGHsisldaWcaaqaaiabgkGi2kaadMgacaGGOaGaamiEaiaacYca caWG0bGaaiykaaqaaiabgkGi2kaadIhaaaGaeyypa0Jaam4zaiaadw hacqGHRaWkcaWGJbWaaSaaaeaacqGHciITcaWGPbGaaiikaiaadIha caGGSaGaamiDaiaacMcaaeaacqGHciITcaWG0baaaaaa@50BA@

Note – Pour l'adjectif "linéique", voir la CEI 60050-111.


ar
خط نقل

de
Übertragungsleitung, f

es
línea de transmisión

it
linea di trasmissione

ja
伝送線路

no
nb transmisjonslinje

nn transmisjonslinje

pl
linia przesyłowa

pt
linha de transmissão

sv
transmissionsledning

zh
传输线

Publication date: 2002-06
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