Circuit dual

La notion de dualité est un des outils utilisés en électrocinétique.

Définition

À chaque circuit électrique on peut faire correspondre un autre circuit appelé circuit dual où toutes les équations sont identiques à condition de permuter les tensions par les intensités.

Quelques exemples

Exemple simple : circuits RLC série et parallèle

Le dual d'un circuit RLC série est un circuit RLC parallèle[1].

Circuit RLC série Circuit RLC parallèle
Schéma
Équation principale
Fréquence propre
Taux d'amortissement

Méthode de construction du circuit dual

  • On part du schéma du circuit initial
  • On crée un nœud à l'intérieur de chaque maille de ce circuit plus un à l'extérieur
  • On trace un lien entre chacun de ces nœuds en passant systématiquement à travers un dipôle du montage
  • On obtient le circuit dual en dessinant un circuit où chacun des liens précédents contient le dipôle dual de celui qui a été coupé par le lien.

Notes et références

  1. Peelo, David F., Current interruption transients calculation (ISBN 9781118707197, 1118707192 et 9781118707210, OCLC 858914443, lire en ligne)

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