A fast methodology for stability margin evaluation of power systems due to Hopf bifurcation

Despite the increasing development of Hopf bifurcations detection methods in the last decades, some difficulties still remain to be resolved, as the processing time of these methodologies do not satisfy the speed requirements of power system security analysis in real time. This paper presents a new development for the power system stability margin estimation due to Hopf bifurcation. This development is a direct method that is fast and robust to the initial condition estimate of the Hopf bifurcation point. The proposed methodology was tested in two systems, a two-area system and the IEEE 39-bus test system, and the results were compared against those of the conventional eigenvalue calculation methodology. These results have shown the possibility of estimating the stability margin due to HB in real time, highlighting the effectiveness and advantages of the proposed methodology as compared to the current practices.