Generalized procedure to obtain first integrals for non-conservative dynamical systems: Application to power systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A technique for constructing first integrals for nonconservative dynamical systems based on Noether's principle is reviewed and presented. The technique, which provides a systematic approach, is applied to power systems with nonnegligible transfer conductances, and a first integral is derived. The result is shown to be identical to that obtained by an ad-hoc procedure that has provided excellent practical results. The technique also provides an avenue to obtain other infinitesimal transformations, which may lead to a more general first integral. Various results available on the variational behavior of nonconservative systems in nonlinear mechanics are introduced to the engineering community.

Original languageEnglish (US)
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
Editors Anon
PublisherPubl by IEEE
Pages1984-1987
Number of pages4
Volume3
StatePublished - 1989
Externally publishedYes
EventIEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1 - Portland, OR, USA
Duration: May 8 1989May 11 1989

Other

OtherIEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1
CityPortland, OR, USA
Period5/8/895/11/89

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Fingerprint Dive into the research topics of 'Generalized procedure to obtain first integrals for non-conservative dynamical systems: Application to power systems'. Together they form a unique fingerprint.

  • Cite this

    Vittal, V. (1989). Generalized procedure to obtain first integrals for non-conservative dynamical systems: Application to power systems. In Anon (Ed.), Proceedings - IEEE International Symposium on Circuits and Systems (Vol. 3, pp. 1984-1987). Publ by IEEE.