Bifurcation analysis of three-phase ferroresonant oscillations in ungrounded power systems

The study of power networks prone to ferroresonant oscillations by means of simulation turns out to be a tedious task; Therefore, a direct calculation of the stability domains of the various oscillation modes is preferable. I n this paper, the software package: AUTO is used to determine the periodic solutions of the differential equations describing a typical three-phase ne twork in which. ferroresonance has occurred. A small modification of the sy stem equations is introduced to approximate the quasi-periodic oscillations by periodic ones, without major impact on the position of the stability do mains. Finally, an example of the automated. dimensioning of a damping circ uit using a continuation Scheme is presented.