A Heuristic Constructive Algorithm for Capacitor Placement on Distribution Systems

Author

Da Silva, Ivo Chaves, Jr. ; Carneiro, Sandoval, Jr. ; De Oliveira, Edimar Jose ; de Souza Costa, J. ; Pereira, Jose Luiz Rezende ; Garcia, Paulo Augusto Nepomuceno

Author_Institution

Fed. Univ. of Rio de Janeiro, Rio de Janeiro

Volume

23

Issue

4

fYear

2008

Firstpage

1619

Lastpage

1626

Abstract

This paper presents a heuristic constructive algorithm (HCA) for optimal capacitor placement on distribution systems. This is a nonlinear mixed integer optimization problem. In the proposed approach, the integer variables are represented using sigmoid function, thus interior point optimal power flow formulation can be applied to obtain sensitivity indexes based on Lagrange multipliers, reactive power, and bus voltage. The methodology is applied to two power distribution systems, and the results are compared with those obtained using a genetic algorithm approach.

Keywords

distribution networks; genetic algorithms; heuristic programming; integer programming; load flow; nonlinear programming; power capacitors; Lagrange multipliers; bus voltage; genetic algorithm; heuristic constructive algorithm; heuristic programming; interior point optimal power flow formulation; nonlinear mixed integer optimization problem; optimal capacitor placement; power distribution systems; reactive power; sigmoid function; Computational efficiency; Genetic algorithms; Heuristic algorithms; Lagrangian functions; Load flow; Power capacitors; Power distribution; Power factor correction; Reactive power; Voltage; Heuristic programming; Lagrange multipliers; optimal capacitor placement; optimal power flow;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/TPWRS.2008.2004742

Filename

4652749