Title :
An optimization scheme for locating power system equilibria ranked by a scalar Lyapunov function
Author :
DeMarco, Christopher L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
Abstract :
A constrained optimization algorithm for implementing a geometric approach to ranking UEPs (unstable equilibrium points) is proposed. The formulation seeks to minimize a Euclidean norm of the vector field along a constraint manifold defined by a constant contour of the Lyapunov function. When the norm is driven to zero on the manifold, one has located an equilibrium point having the given value of energy. A scheme for modifying the constraint contour is proposed, and a limit on the number of local minima in a neighborhood of the operating point is demonstrated
Keywords :
Lyapunov methods; optimisation; power systems; Euclidean norm; UEPs; constant contour; constrained optimization algorithm; constraint manifold; equilibrium point; geometric approach; local minima; operating point; optimization scheme; power system equilibria; scalar Lyapunov function; vector field; Differential equations; Drives; Lyapunov method; Power system dynamics; Power system modeling; Power system stability; Power system transients; Power systems; Predictive models; Voltage;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112007
