Static bifurcations in electric power networks: Loss of steady-state stability and voltage collapse

10.1137/0320046

10.1109/TAC.1981.1102763

10.1109/TPAS.1983.317983

elgerd, 1971, Electric Energy Systems and Theory An Introduction

aronovich, 1965, Application of stability theory to static and dynamic stability problems of power systems, Proceedings of the Second All-Union Conference on Theoretical and Applied Mechanics

10.1016/B978-0-12-165550-1.50011-2

10.1109/TPAS.1972.293463

oka, 1985, Normal forms for constrained quations and their applications to strange attractors, Proc 24th Conf on Decision and Control, 461

10.1109/CDC.1984.272043

lachs, 1979, System reactive power limitations, IEEE PES Winter Meeting

10.1109/TPAS.1981.317013

glavitsch, 1985, Where developments in power system stability should be directed, Proc Int Symp on Power System Stability, 61

blankenship, 1980, Electric Power Problems The Mathematical Challenge, 276

10.1109/TPAS.1969.292283

10.1109/TPAS.1980.319863

10.1109/TPAS.1982.317121

10.1109/T-PAS.1976.32236

capasso, 1980, On the objective functions for reactive power optimization, IEEE PES Winter Power Meeting

chow, 1982, Methods of Bifurcation Theory, 10.1007/978-1-4613-8159-4

vanderbauwhede, 1982, Local Bifurcation and Symmetry

arnold, 1983, Geometrical Methods in the Theory of Ordinary Differential Equations, 10.1007/978-1-4684-0147-9

10.1109/T-PAS.1977.32362

lachs, 1978, Voltage collapse in EHV power systems, IEEE PES Winter Power Meeting

10.1016/0142-0615(81)90017-X

casazza, 1979, Interim report on the French blackout of December 19 1978

1979, Review of Major Power System Interruptions

10.1109/TCS.1985.1085650

abe, 1976, Determination of power system voltage instability, Parts 1 and 2, Trans IEE of Japan, 96 b, 171

10.1109/MSPEC.1978.6367667

10.1109/T-PAS.1975.31911

barret, 1980, Power system voltage regulation, Revue generate de l'electricite, 37

10.1109/TPAS.1981.316611

barbier, 1980, An analysis of phenomena of voltage collapse on a transmission system, Revue generate de l'electricite, 3

guckenheimer, 1983, Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields, 10.1007/978-1-4612-1140-2

10.1109/TPAS.1972.293469

golubitsky, 1985, Singularities and Groups in Bifurcation Theory, 10.1007/978-1-4612-5034-0

galiana, 1977, On the steady-state stability of power systems, Proc Power Industry Computer Applications Conf, 201

10.1109/T-PAS.1975.31937

10.1109/TPAS.1983.318052

10.1109/TPAS.1978.354702