Non-Iterative Method to Determine Static Stability Boundaries

Static voltage and angle stability conditions are often associated with singularities of the power flow Jacobian (Saddle Node Bifurcations - SNB). This paper presents an idea of a new method based on SNB conditions written in Cartesian coordinates. These coordinates used instead of the polar coordinates allow non-iterative locating power flow SNB points. A singularity problem is formulated as a linear set of equations. The singular value decomposition is used to find its solutions. The new method allows quick exploration of the static stability boundary in real-time security assessment applications. This paper outlines some very promising initial results for two power systems.