Mathematical study of very high voltage power networks I: The optimal DC power flow problem - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1994

Mathematical study of very high voltage power networks I: The optimal DC power flow problem

J. Frederic Bonnans
  • Function : Author
  • PersonId : 833418
  • IdHAL : bonnans

Abstract

The optimal power flow problem consists in setting the voltage and power delivered at the nodes of an electrical network, in order to minimize the loss of power over the lines. This paper is the first of a series dedicated to the mathematical study of this problem, based on an asymptotic analysis, in which the small parameter is the inverse of the reference voltage of the network. We call this scheme the very high voltage approximation. Here we deal with the case of direct current. We obtain an analytic expansion for the optimal value and the solution.
Fichier principal
Vignette du fichier
RR-2408.pdf (248.42 Ko) Télécharger le fichier
Loading...

Dates and versions

inria-00074267 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00074267 , version 1

Cite

J. Frederic Bonnans. Mathematical study of very high voltage power networks I: The optimal DC power flow problem. [Research Report] RR-2408, INRIA. 1994. ⟨inria-00074267⟩
114 View
181 Download

Share

Gmail Facebook Twitter LinkedIn More