DC power flow in systems with dynamic topology

In a power system topology change caused by a transmission line outage, the redistribution of the power flow carried by the broken lines may make other lines overloaded and lead to a cascading failure. Therefore, analyzing the impact of the topology changes on the power flow is important to help make appropriate decisions in avoiding a cascading failure. Existing power flow analysis methods have two shortcomings: the system topology cannot be reflected in the formulation of power flow, and disconnected systems cannot be dealt with in a unified way. This paper presents a DC power flow formulation and its solution method using the generalized inverse. It overcomes the two shortcomings of the existing methods in the power flow analysis of systems with a dynamic topology. Examples of a 9 bus case and the IEEE 30 bus case are provided to illustrate the advantages of our methods.