NDLI: Mathematical Study of Very High Voltage Power Networks I: The Optimal DC Power Flow Problem

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Bonnans, J. Frdric
Copyright Year	1997
Abstract	The optimal power flow problem involves 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. We use 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.
Starting Page	979
Ending Page	990
Page Count	12
File Format	PDF
ISSN	10526234
DOI	10.1137/S1052623494278025
e-ISSN	10957189
Journal	SIAM Journal on Optimization (SJOPE8)
Issue Number	4
Volume Number	7
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-31
Access Restriction	Subscribed
Subject Keyword	electrical networks sensitivity analysis directional constraint qualification expansion of solutions asymptotic analysis Sensitivity, stability, well-posedness Implicit function theorems; global Newton methods Sensitivity, stability, parametric optimization nonlinear optimization
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Software

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