An interpretation of stochastic voltage collapse indication

This paper attempts to justify claims made by the authors concerning the application of a power system stochastic voltage collapse indicator (SVCI). Since the SVCI is an approximate solution to a system of stochastic differential equations, the authors present a scheme to evaluate its validity. The scheme involves the use of Monte-Carlo techniques where for a given confidence interval, samples representing different realizations of the modeled uncertain power system will be run with the goal of obtaining the sampled value of the SVCI. Accuracy and sensitivity of the indicator are compared to benchmark measurements obtained from Monte-Carlo runs of a dynamic power system perturbed by small-magnitude perturbations. Strong correlation between the two sets of values for the SVCI and its sampled counterpart will give credence to the application of the SVCI to voltage stability studies.