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Optimal sizing of capacitors placed on a radial distribution system

Journal Article · · IEEE Trans. Power Del.; (United States)
DOI:https://doi.org/10.1109/61.19266· OSTI ID:6373292
The capacitor sizing problem is a special case of the general capacitor placement problem. The problem is to determine the optimal size of capacitors placed on the nodes of a radial distribution system so that the real power losses will be minimized for a given load profile. This problem is formulated as a nonlinear programming problem. The ac power flow model of the system, constraints on the node voltage magnitudes, and the cost of capacitors are explicity incorporated in the formulation. A solution algorithm, based on a Phase I - Phase II feasible directions approach, is proposed. Also presented are a new formulation of the power flow equations in a radial distribution network and a numerically robust, computationally efficient soltuion scheme. This solution scheme is used as a subroutine in the optimization algorithm. Test results for both the capacitor sizing problem and the power flow solution schemes are presented.
Research Organization:
Dept. of Electrical Engineering and Computer Sciences, Univ. of California, Berkeley, Berkeley, CA (US)
OSTI ID:
6373292
Journal Information:
IEEE Trans. Power Del.; (United States), Journal Name: IEEE Trans. Power Del.; (United States) Vol. 4:1; ISSN ITPDE
Country of Publication:
United States
Language:
English