A general mathematical framework for power system security and control

Developing technology and systems for future power systems requires an evolutionary approach where Distributed Renewable Energy Resources can be seamlessly integrated in to the system. As the diversity of the generation mix increases, the need for advanced sensing, communications and control systems (so called “smart” grid technologies) in managing the real-time stability and operation security of the power system will increase. This paper focuses on the development of a mathematical framework and computational methodology that can be used to evaluate the stability and operational security of a power system in the context of stochastic hybrid dynamical systems, and propose an approach based on embedding and symbolic dynamics that can be used to analyze complex system behaviors by encoding the system dynamics into symbol strings.