Stabilization via Interconnection and Damping Assignment: Injection Model for the CSCs

The method of Interconnection and Damping Assignment is a passivity-based control synthesis technique. It is based on matching a closed-loop system with a desired behaviour, specified using a desired interconnection and damping structure and a desired energy function. Applications of this technique for synthesizing stabilizing control laws for excitation control of electrical power systems have been reported in the literature. In this chapter the IDA-PBC methodology is used to derive stabilizing control laws for electrical power systems using controllable series capacitors. The swing equation model is used to represent the generators. The CSC is modeled using the injection model. The control objective is to asymptotically stabilize a desired operating point and modify the transient response of the system. It is achieved by assigning a suitable energy function to the closed-loop system and modifying the interconnection and damping structures. Estimate of the domain of attraction of the operating point are also given.