Application of interior point methods to power flow unsolvability

Author

Granville, S. ; Mello, J. C O ; Melo, A.C.G.

Author_Institution

CEPEL, Electr. Power Res. Center, Rio de Janeiro, Brazil

Volume

11

Issue

2

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

1096

Lastpage

1103

Abstract

This paper describes an application of an optimal power flow, solved by a direct interior point (IP) method, to restore system solvability. Using the P-Q load representation, power flow unsolvability occurs when, for a given set of active and reactive bus injections, the power flow equations have no real solution. The set of control actions in the IP algorithm includes rescheduling of active power of generators, adjustments on terminal voltage of generators, tap changes on LTC transformers, and as a last resort, minimum load shedding. The IP formulation allows observation of the impact of each control optimization in system solvability. Also described is a framework to calculate probabilistic indicators of solvability problems taking into account the probability of contingencies. The role of control optimization is illustrated in a real 11-bus power system and the probabilistic approach is applied to a 1600-bus power system derived from the Brazilian South/Southeast/Central West system

Keywords

computability; load flow; optimisation; power system analysis computing; probability; P-Q load representation; active bus injections; algorithm; computer simulation; direct interior point methods; generator active power rescheduling; optimal power flow; power flow unsolvability; probabilistic indicators; reactive bus injections; terminal voltage; transformer tap changes; Control systems; Equations; Load flow; Power generation; Power system control; Power system restoration; Power systems; Probability; Transformers; Voltage control;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/59.496200

Filename

496200