Maximum loadability of power systems using interior point nonlinear optimization method

Author

Irisarri, G.D. ; Wang, X. ; Tong, J. ; Mokhtari, S.

Author_Institution

Siemens Empros Power Syst. Control, Brooklyn Park, MN, USA

Volume

12

Issue

1

fYear

1997

fDate

2/1/1997 12:00:00 AM

Firstpage

162

Lastpage

172

Abstract

This paper proposes a nonlinear optimization interior point (IP) method for the determination of maximum loadability in a power system. Details of the implementation of pure primal-dual and predictor-corrector primal-dual IP algorithms are presented. It is shown that most of the computational effort of the algorithm is taken by the formation and factorization of the augmented Hessian matrix of the IP algorithm. The size of this matrix can be as large as ten times the number of buses in the system. Comparisons of the two IP implementations with large scale power systems with as many as 4000 buses are presented. It is shown that the IP algorithm constitutes an effective method for the determination of the maximum loadability in a power system

Keywords

Hessian matrices; load (electric); optimisation; power system stability; augmented Hessian matrix factorisation; augmented Hessian matrix formation; interior point nonlinear optimization method; maximum loadability; power systems; predictor-corrector primal-dual IP algorithms; primal-dual IP algorithms; voltage stability; Bifurcation; Lagrangian functions; Large-scale systems; Load flow; Optimization methods; Power engineering and energy; Power system modeling; Power systems; Reactive power; Systems engineering and theory;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.574936

Filename

574936