This paper describes a method for static security analysis based on a
coordinated combination of PI methods, subnetwork solutions, compensat
ion methods and sparse vector methods. The method is hybrid utilizing
PI methods and contingency screening/analysis methods. This paper focu
ses on the contingency screening/analysis method. It is capable of eff
iciently handling PV/PQ bus type conversions and islanding conditions
caused by contingencies. It also features an ''optimal'' combination o
f computational procedures which yields the least execution time for a
specified level of accuracy. The performance of the method is statist
ically evaluated on large power systems. The results clearly illustrat
e the superior performance of the method.