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

Volume

2

fYear

2000

fDate

2000

Firstpage

477

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ISCAS.2000.856369

Filename

856369