Active-reactive coupling in optimal reactive dispatch: a solution via Karush-Kuhn-Tucker optimality conditions

Author

Granville, Sérgio ; de Miranda Alves, Flávio Rodrigo

Author_Institution

CEPEL-Centro de Pesquisas de Energia Electrica, Rio de Janeiro, Brazil

Volume

9

Issue

4

fYear

1994

fDate

11/1/1994 12:00:00 AM

Firstpage

1774

Lastpage

1779

Abstract

Decoupled model based algorithms have been widely used to solve the optimal reactive dispatch problem. However, in the presence of nonnegligible active-reactive coupling, convergence and solution reliability problems may appear. This paper presents the implementation of an algorithm based on the estimation of active power related Lagrange multipliers to solve the optimal reactive dispatch. The estimation process is based on the Karush-Kuhn-Tucker optimality conditions. Adequate treatment of nonseparable objective functions and numerical results carried out on test-cases (17 buses) and real-life networks (329 and 447 buses) are reported

Keywords

load dispatching; load flow; power system analysis computing; power system state estimation; reactive power; 17 bus network; 329 bus network; 447 bus network; Karush-Kuhn-Tucker optimality conditions; active power related Lagrange multipliers; active-reactive coupling; convergence problems; decoupled model based algorithms; estimation process; nonseparable objective functions; optimal reactive dispatch; power system state estimation; solution reliability problems; test network; Constraint optimization; Lagrangian functions; Load flow; Nonlinear equations; Power generation; Quadratic programming; Reactive power; Reactive power control; Synchronous generators; Testing;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.331430

Filename

331430