Energy Functions, Transient Stability and Voltage Behaviour in Power Systems with Nonlinear Loads

This paper presents preliminary results in a program aimed at energy function analysis of transient behaviour of power systems with nonlinear loads. The model, which preserves the network structure, is of differential-algebraic type. This introduces some new analytical issues, but the concepts enable the establishment of a connection between transient (angle) stability, multiple stable equilibria and voltage behaviour. A practical method for determining and classifying equilibrium points of the model is developed.