My research theme is Modeling, Optimization, and Control of Energy and Other Complex Systems. An illustration of such complex systems is depicted in Fig. 1.

The ultimate goals of this research are: (i) low-carbon, decentralized, resilient, autonomous, and comfortable energy systems; and (ii) harmonization of interconnected and complex systems. To achieve that, the following studies will be conducted. First, mathematical models will be built for representing the multi-scale, complicated dynamics and behaviors in energy systems, as well as other systems in engineering and nature. Then mathematical frameworks will be developed based on the derived models for optimizing and controlling such complex systems, given specific system objectives.

A variety of branches in mathematics will be employed in this research, for example dynamical systems and their stability theories, linear and nonlinear optimization, graph theory, control theory, multi-agent system, and artificial intelligence.

Particular applications include smart grid, smart cities, renewable and distributed energy systems, network systems, wireless power transfer, intelligent and decarbonized transportation systems, bio systems for clean energy production and carbon capture.  

Figure 1. Illustration for power systems decision and control over different time scales.