Computer analysis of static bifurcation in power networks

Abstract

The authors summarize an approach to the static bifurcation analysis of electric power networks which combines bifurcation theory with proven computational methods and a graphical representation of information which has intuitive appeal. The relationship between contour maps and static bifurcation of power system equilibrium equations is examined. Preliminary results identify the limitations as well as possibilities for enhancement of the generalized circle diagrams introduced by G.B. Price (1984). By combining symbolic and numerical computations this approach appears to be moving toward making power system static bifurcation analysis an intuitive and practical tool for power system operations analysis.<>