NDLI: Medium-Term Hydro-Thermal Coordination by Semidefimite Programming

Content Provider	IEEE Xplore Digital Library
Author	Fuentes-Loyola, R. Quintana, V. H.
Copyright Year	1981
Abstract	Hydrothermal coordination (HTC) is a problem that has been solved using direct and decomposition solution methods. The latter has shown shorter solution times than the former. A direct solution method for the HTC problem that is based in semidefinite programming (SDP) is presented. SDP is a convex programming method with polynomial solution time. The variables of the problem are arranged in a vector, which is used to construct a positive-definite matrix; the optimal solution is then found in the cone defined by the set of positive-definite matrices. An HTC problem can be formulated as a convex optimization problem without explicitly stating the integer value requirements for the thermal-plants discrete variables. Thus, it is possible to replace the nonconvex integer-value constraints by convex quadratic constraints and then use SDP. Due to its polynomial complexity, it is not necessary to use decomposition or other tools for discrete optimization, such as enumeration schemes or other exponential-time procedures. No initial relaxation is necessary when applying a SDP algorithm; the solution shows only minor mismatches in the integer variables, which are easily corrected by a heuristic method. Different size test cases are presented. The solution quality is assessed by comparing with that produced by a Lagrangian relaxation method.
Starting Page	59
Ending Page	59
Page Count	1
File Size	367116
File Format	PDF
ISSN	02721724
Volume Number	22
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-12-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Power generation economics Load flow Testing Lagrangian functions Relaxation methods Energy management Propagation losses Cost function interior-point methods Hydrothermal coordination semidefinite programming
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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