This paper attempts to provide an analytically based visualization tool for investigating the existence of singularity induced bifurcations along with corresponding singular sets of operating points in power systems. This tool is based on the solution of a set of parameter dependent differential-algebraic equations (DAE's) for analyzing power system phenomena. The focus of this work is on the information obtained when visualizing limits (and neighboring areas) imposed by singularity-induced bifurcations. This tool is an enhanced feature of the Voltage Stability Toolbox (VST) through which various properties of these stability limits can be easily further investigated.