NDLI: Application of fuzzy sets to optimal reactive power planning with security constraints

Content Provider	IEEE Xplore Digital Library
Author	Abdul-Rahman, K.H. Shahidehpour, S.M.
Copyright Year	1969
Abstract	This paper presents a mathematical formulation for the optimal reactive power planning taking into account the static security constraints and the nonprobabilistic uncertainty in load values. The planning process is decomposed into investment and operation problems via the generalized Benders decomposition (GBD). Fixed and variable costs are considered in the investment problem. Linguistic declarations of load values in the operation problem are translated into possibility distribution functions. The operation problem is decomposed into 4 subproblems via Dantzig-Wolfe decomposition (DWD), and the modeling of multi-area power systems is considered by applying a second DWD to each subproblem, leading to a significant reduction in its dimensions for personal computer applications. Voltage constraints within each area are modeled as fuzzy sets for the static security analysis by biasing the final solution towards desired values of variables within their given ranges. The overall solution is a compromise between economics (lower investment and operation costs) and security (tighter feasible region). Numerical examples for the applicability of the proposed approach to multi-area power systems are discussed.<>
Sponsorship	IEEE Power Engineering Society
Starting Page	589
Ending Page	597
Page Count	9
File Size	987336
File Format	PDF
ISSN	08858950
Volume Number	9
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-05-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fuzzy sets Reactive power Power system security Investments Power system modeling Costs Power system analysis computing Power system economics Uncertainty Process planning
Content Type	Text
Resource Type	Article
Subject	Energy Engineering and Power Technology Electrical and Electronic Engineering

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