The use of symbolic computation for power system stabilization: An example of computer aided design

We consider the nonlinear model of a power system network in emergency for a stability crises. We present algorithms, to be implemented by symbolic and algebraic manipulation (SAM) systems, which, given the incidence matrix of a power system network, determine the controllability properties induced by the choice of the number and the location of power controllers, namely the strong accessibility and the feedback linearizability. If the number and the location of controls are to be chosen, one can determine the minimum number and the location of controls which induce the desired properties. The effect of structural or parameter perturbations can also be evaluated. These computer aided design techniques are applied for a network of five nodes and the state feedback stabilizing control laws are symbolically generated.