VARIATIONAL PRINCIPLE FOR NON-CONSERVATIVE POWER SYSTEMS.

Vijay Vittal, A. N. Michel

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

Abstract

The issue of path dependence of energy functions for power systems is addressed. In this approach, which avoids (the linear) trajectory assumptions, the authors borrow from the wide body of literature in the field of nonconservative mechanics which has revolutionized the analysis of nonlinear heat transfer models, and established a variational principle of the Hamilton type for purely nonconservative mechanics according to the central Lagrangian equation. In the authors' approach, the velocity of variation and the variation of velocity are not commutative, as is the case in the mechanics governing conservative dynamical systems.

Original languageEnglish (US)
Title of host publicationProceedings - IEEE International Symposium on Circuits and Systems
PublisherIEEE
Pages300-303
Number of pages4
StatePublished - 1987
Externally publishedYes

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Mechanics
Dynamical systems
Trajectories
Heat transfer

ASJC Scopus subject areas

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

Cite this

Vittal, V., & Michel, A. N. (1987). VARIATIONAL PRINCIPLE FOR NON-CONSERVATIVE POWER SYSTEMS. In Proceedings - IEEE International Symposium on Circuits and Systems (pp. 300-303). IEEE.

VARIATIONAL PRINCIPLE FOR NON-CONSERVATIVE POWER SYSTEMS. / Vittal, Vijay; Michel, A. N.

Proceedings - IEEE International Symposium on Circuits and Systems. IEEE, 1987. p. 300-303.

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

Vittal, V & Michel, AN 1987, VARIATIONAL PRINCIPLE FOR NON-CONSERVATIVE POWER SYSTEMS. in Proceedings - IEEE International Symposium on Circuits and Systems. IEEE, pp. 300-303.
Vittal V, Michel AN. VARIATIONAL PRINCIPLE FOR NON-CONSERVATIVE POWER SYSTEMS. In Proceedings - IEEE International Symposium on Circuits and Systems. IEEE. 1987. p. 300-303
Vittal, Vijay ; Michel, A. N. / VARIATIONAL PRINCIPLE FOR NON-CONSERVATIVE POWER SYSTEMS. Proceedings - IEEE International Symposium on Circuits and Systems. IEEE, 1987. pp. 300-303
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