Numerical determination of domains of attraction for electrical power systems using the method of Zubov

A new approach to the determination of the domain of attraction of ordinary differential equations is applied to power systems taking into account constant damping and no saliency, constant damping and saliency, and variable damping and saliency. The results are compared with the conventional methods and are found to give a better estimate of the stability boundary. A model which includes the effects of constant damping and the velocity governor is also studied. In this third-order system, cross-sections of the stability surface for the principal planes are given, again showing the superiority of the method.