Application of optimization to the size and control settings of shunt capacitors on distribution feeders

Journal Article · Mon Jan 01 04:00:00 EST 1990 · Electric Machines and Power System; (USA)

DOI:https://doi.org/10.1080/07313569008909449· OSTI ID:6737535

Soliman, S A; Emam, S E.A. ^[1]; Christensen, G S ^[2]

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1. Electrical Power and Machines Dept., Ain Shams Univ., Abbassia, Cairo (EG)
2. Alberta Univ., Edmonton, AB (Canada). Dept. of Electrical Engineering

This paper presents new contributions to the optimization of size and control setting of continuous shunt capacitors on distribution feeders to reduce power and energy losses in the feeders. The current profile is assumed to be a nonlinear function of the distance from the substation, the authors assume a quadratic function for the current profile. As a result, the loss reduction function to be maximized is a highly nonlinear function, we apply the minimum norm theorem in the frame work of functional analysis optimization technique to maximize this function. A set of linear simultaneous equations is obtained. These equations are solved iteratively using the conjugate-gradient methods. The authors compare their results with that obtained for a uniform current profile that has been done in the literature. Their contributions show a saving in the size of the capacitors and great loss reductions in the feeder.

• OSTI ID: 6737535
• Journal Information: Electric Machines and Power System; (USA), Journal Name: Electric Machines and Power System; (USA) Vol. 18:1; ISSN 0731-356X; ISSN EMPSD
• Country of Publication: United States
• Language: English

Related Subjects

24 POWER TRANSMISSION AND DISTRIBUTION
240100* -- Power Systems-- (1990-)
29 ENERGY PLANNING, POLICY, AND ECONOMY
296000 -- Energy Planning & Policy-- Electric Power
CALCULATION METHODS
CAPACITORS
CONTROL SYSTEMS
ELECTRICAL EQUIPMENT
ENERGY LOSSES
EQUATIONS
EQUIPMENT
LOSSES
NONLINEAR PROBLEMS
OPTIMIZATION
POWER DISTRIBUTION SYSTEMS