Singular Perturbation for the Dynamic Modeling of Integrated Energy Systems

An integrated energy system (IES) represents coordinated operations of constrained natural gas (NG), electric power, and thermal systems in three distinctly different time scales. Microturbines (MTs) are increasingly utilized in IES as suppliers of combined cooling, heating and power (CCHP) units, which optimize the delivery and the usage of interdependent NG, electric power, and thermal energy sectors in a distributed IES. In this paper, a dynamic IES model is proposed based on the singular perturbation theory (SPT), which denotes the dynamic interactions of the three energy systems. The dynamic IES model representing a boundary layer system (BLS) is solved and analyzed in three time-scales. The simulation results demonstrate the validity of the proposed dynamic IES model in three time-scales, highlighting the necessity of incorporating the dynamic characteristics of NG, electric power, and thermal energy in dynamic analyses of distributed IES.