  Recent advances in steady-state analysis of power systems have introduced the
equivalent split-circuit approach and corresponding continuation methods that
can reliably find the correct physical solution of large-scale power system
problems. The improvement in robustness provided by these developments are the
basis for improvements in other fields of power system research. Probabilistic
Power Flow studies are one of the areas of impact. This paper will describe a
Simple Random Sampling Monte Carlo approach for probabilistic contingency
analyses of transmission line power systems. The results are compared with
those from Monte Carlo simulations using a standard power flow tool. Lastly,
probabilistic contingency studies on two publicly available power system cases
are presented.

Systems and Control