Abstract: A method of assessing an electrical power system is provided that includes performing a plurality of contingencies using a mathematical model of the system and determining a representative solution for each contingency. For each bus and contingency, symptoms of system stress exhibited in the representative solution are tabulated. Each contingency is categorized into a contingency cluster based on its representative solution, and those buses having a highest number of the symptoms of system stress for each contingency categorized within a respective contingency cluster are sorted into a group associated therewith. The contingency clusters are arranged into a ranking based on its effect on the network, and a location for a network enhancement is selected from a group of buses associated with a contingency cluster of the ranking that has a largest effect on the network and also includes buses as a result of the sorting.

Abstract: The present invention provides an analysis method for an electrical power system whereby the plurality of buses are grouped into agents, family lines of agents and families of agents based on the reactive reserves depleted when the buses are loaded. Contingencies are then applied to the electrical power system and the reactive reserves are monitored and an exhaustion factor is determined for one or more family lines in one or more families. A method for selecting double outage that have no solution for each outage that has no solution when the outage is removed in small steps and an additional step has no solution. The boundary case solution is used to assess where, why, and how the contingency causes voltage instability, voltage collapse, and local blackout.

Abstract: The present invention provides an analysis method for an electrical power system whereby the plurality of buses are grouped into agents, family lines of agents and families of agents based on the reactive reserves depleted when the buses are loaded. Contingencies are then applied to the electrical power system and the reactive reserves are monitored and an exhaustion factor is determined for one or more family lines in one ore more families. A method for selecting double outage that have no solution for each outage that has no solution when the outage is removed in small steps and an additional step has no solution. The boundary case solution is used to assess where, why, and how the contingency causes voltage instability, voltage collapse, and local blackout.