Title :
Multiple bifurcation branches and cusp bifurcation in power systems
Author :
Vournas, C.D. ; Nomikos, B.M. ; Karystian, M.E.
Author_Institution :
Electr. Energy Syst. Lab., Nat. Tech. Univ. of Athens, Greece
Abstract :
This paper investigates the existence of multiple branches of the bifurcation surface of a power system. At points where such branches intersect we identify singular points of the bifurcation surface. Analyzing two simple power systems, we identify a cusp, a "pure fold" and a codimension 3 bifurcation.
Keywords :
bifurcation; power system dynamic stability; Hopf bifurcation; bifurcation surface branches; codimension 3 bifurcation; cusp bifurcation; fold bifurcation; multiple bifurcation branches; multiple load flow solutions; power systems; pure fold; saddle-node bifurcation; singular points identification; voltage stability; Bifurcation; Eigenvalues and eigenfunctions; Jacobian matrices; Load flow; Power system analysis computing; Power system dynamics; Power system restoration; Power system stability; Power systems; Voltage;
Conference_Titel :
Electric Power Engineering, 1999. PowerTech Budapest 99. International Conference on
Conference_Location :
Budapest, Hungary
Print_ISBN :
0-7803-5836-8
DOI :
10.1109/PTC.1999.826521