Computation of steady-state security regions, stability regions and bifurcations of power systems

This paper is devoted to the problems of finding the steady-state security and stability region, saddle node, and Hopf bifurcation boundaries of power systems in the parameter space. A new method is proposed for the computation of these boundaries of power systems. Firstly, the steady-state security and stability region are sliced by a set of given parallel hyperplanes in a given direction, and then the boundary of each intersection region of the region is calculated by the approach of optimization. Furthermore, the visualization of the security region in the injection space is realized. This visualization feature is useful to the load dispatcher. Finally, practical examples are solved using the proposal method so as to demonstrate its effectiveness.