A fuzzy-based optimal reactive power control

Journal Article · Sat May 01 04:00:00 EDT 1993 · IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States)

DOI:https://doi.org/10.1109/59.260814· OSTI ID:6264267

Abdul-Rahman, K H; Shahidehpour, S M ^[1]

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1. Illinois Inst. of Tech., Chicago, IL (United States). Dept. of Electrical and Computer Engineering

This paper presents a mathematical formulation for the optimal reactive power control problem using the fuzzy set theory. The objectives are to minimize real power losses and improve the voltage profile of a given system. Transmission loses are expressed in terms of voltage increments by relating the control variables, i.e., tap positions of transformers and reactive power injections of VAR sources, to the voltage increments in a modified Jacobian matrix. This specific formulation of the problem does not require the Jacobian matrix inversion, and hence it will save computation time and memory space. The objective function and the constraints are modeled by fuzzy sets. Linear membership functions of the fuzzy sets are defined and the fuzzy linear optimization problem is formulated. The solution space in this case is defined as the intersection of the fuzzy sets describing the constraints and the objective functions. Each solution is characterized by a parameter that determines the degree of satisfaction with the solution. The optimal solution is the one with the maximum value for the satisfaction parameter. Results for the application of this approach on test systems reveal its numerous advantages.

• OSTI ID: 6264267
• Journal Information: IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States), Journal Name: IEEE Transactions on Power Systems (Institute of Electrical and Electronics Engineers); (United States) Vol. 8:2; ISSN 0885-8950; ISSN ITPSEG
• Country of Publication: United States
• Language: English

Related Subjects

24 POWER TRANSMISSION AND DISTRIBUTION
240100* -- Power Systems-- (1990-)
ELECTRIC POWER
ELECTRICAL TRANSIENTS
ENERGY SYSTEMS
LINEAR PROGRAMMING
MATHEMATICS
POWER
POWER SYSTEMS
PROGRAMMING
SET THEORY
STABILIZATION
TRANSIENTS
VOLTAGE DROP