A necessary condition for power flow Jacobian singularity based on branch complex flows

Author

Grijalva, Santiago ; Sauer, Peter W.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL, USA

Volume

52

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

1406

Lastpage

1413

Abstract

This paper deals with static transfer stability limits (STSL) of network branches and their relation with singularity of the power flow Jacobian. It describes the effect of large transfers on the branch complex flows and shows that when a transfer takes place in the system, at least one branch must reach its STSL before the singularity is encountered. Numerical examples confirm this necessary condition and show that the first STSL appears close to the singularity. Therefore, it is possible to monitor the proximity to the power flow Jacobian singularity by supervising the complex flow in individual transmission lines.

Keywords

Jacobian matrices; load flow; power system planning; power system stability; transmission line theory; available transfer capability; branch complex flows; distribution factors; necessary condition; network branches; power flow Jacobian singularity; static collapse; static transfer stability limits; transmission lines; voltage stability; Equations; Jacobian matrices; Load flow; Power engineering computing; Power system planning; Power system stability; Power transmission lines; Security; Supervisory control; Voltage; Available transfer capability (ATC); distribution factors; static collapse; voltage stability;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2005.851698

Filename

1487668