Title :
Bifurcation analysis in power flow solutions
Author :
Liu, Yongqiang ; Xu, Peng ; Jie Wu ; Ni, Yixin ; Wu, Jie
Author_Institution :
Dept. of Electr. & Electron. Eng., Hong Kong Univ., China
fDate :
30 Oct.-1 Nov. 2000
Abstract :
This paper addresses the issue of the analysis of static bifurcation of power flow. By combining the Lyapunov-Schmidt reduction (LSR) method with singularity theory, this paper derives the Golubitsky-Schaeffer (GS) normal form of generic bifurcation relevant to power flow solutions. The paper also shows the local behavior at the neighborhood of the power limit point and proves that a unique solution curve exists near the power limit point.
Keywords :
Jacobian matrices; bifurcation; load flow control; power system control; power system stability; Golubitsky-Schaeffer normal bifurcation form; Lyapunov-Schmidt reduction method; power flow solutions; power limit point; power system control simulation; singularity theory; static bifurcation analysis; unique solution curve;
Conference_Titel :
Advances in Power System Control, Operation and Management, 2000. APSCOM-00. 2000 International Conference on
Print_ISBN :
0-85296-791-8
DOI :
10.1049/cp:20000391
