Title :
Relationships between static bifurcations and constrained optima
Author :
Maratos, N.G. ; Vournas, C.D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens, Greece
Abstract :
In this paper we establish relationships between static bifurcations of a dynamical system and solutions of a constrained optimization problem, in which the equilibrium equations of the system appear as equality constraints. The results obtained apply to any system of ordinary differential (and possibly algebraic) equations. Application of these results to electrical power systems is discussed. The relationship between loadability limits and bifurcation points is examined and an illustrative example is given
Keywords :
bifurcation; load (electric); nonlinear dynamical systems; power system dynamic stability; bifurcation points; constrained optima; dynamical system; electrical power systems; equality constraints; equilibrium equations; loadability limits; ordinary differential equations; static bifurcations; Bifurcation; Constraint optimization; Differential algebraic equations; Differential equations; Jacobian matrices; Nonlinear dynamical systems; Power system dynamics; Power system modeling; Power systems; Stability;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.856369
