Title :
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
fDate :
7/1/2005 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2005.851698
