Hamilton formulation for the analysis of RLC circuits

Tanisli M., Ozdas K.

PHYSICS ESSAYS, vol.15, no.3, pp.322-326, 2002 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 3
  • Publication Date: 2002
  • Doi Number: 10.4006/1.3025533
  • Journal Name: PHYSICS ESSAYS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.322-326
  • Keywords: Hamiltonian function, Hamilton's equations, Hamiltonian, RLC circuits, Rayleigh dissipation function, flux linkage, generalized momentum, conjugate momentum, Lagrangian, generalized force
  • Anadolu University Affiliated: No

Abstract

The Hamiltonian formulation well known in classical mechanics is applied to RLC circuits. The flux linkages for the inductances are assumed to be the generalized momenta (conjugate momenta), and the Hamiltonian function of the system is written in terms of generalized momenta. The Hamilton equations are used in the analysis of the system. The new method has been introduced as an alternative method to the conventional Kirchhoff laws and Lagrange equations for these systems.