LYAPUNOV FUNCTIONS FOR MULTIMACHINE POWER-SYSTEMS WITH DYNAMIC LOADS

This paper develops Lyapunov functions for power systems which have dy namic reactive power loads, These functions are extensions of earlier Lyapunov functions derived for structure preserving power system model s having static loads, In order to obtain strict Lyapunov functions, t he transient response of the dynamic load must have a logarithmic depe ndence on voltage. A Lyapunov function is initially generated using a ''first integral'' analysis. A Popov criterion analysis is then undert aken for comparison. The developed Lyapunov functions enable the inves tigation of the interaction between generator (angle) and load dynamic s in multimachine power systems.