Interior point based optimal voltage stability, oscillatory stability and ATC margin boundary tracing

This dissertation proposes a general framework for the power system stability margin boundary tracing and optimization. The proposed framework combines interior point algorithm and continuation method seamlessly to provide the optimal control configuration for any feasible system margin. The maximum stability margin for any given control configuration can be derived by interior point based optimal margin boundary tracing (IP-OMBT) while minimizing the corresponding control costs. From the first stability margin boundary point to the maximum margin boundary point, a series of margin levels with corresponding minimal control cost structure are generated. The margin benefit and the corresponding optimal control costs are visualized along the margin boundary. The proposed method is flexible enough to be modified to trace various other security margin boundaries. In addition, direct ATC tracing and optimal ATC tracing package are developed to address voltage/oscillatory stability related ATC problems. Numerical examples with New England 39 buses system are presented to demonstrate the versatility and practical usefulness of IP-OMBT package.