Matrix Operation Modeling Method of Electric-Thermal-Naturasl Gas Interconnection Multi-Energy System Based on Graph Theory

The matrix operation modeling method of electric-thermal-natural gas interconnection multi-energy system based on graph theory is proposed in this paper. Firstly, on the basis of obtaining data information such as topological structure of electric-thermal-natural gas interconnection multi-energy system, parameters of energy conversion coupling equipment, coupling interconnection architecture and branch physical parameters, the overall comprehensive topological relationship of electric-thermal-natural gas interconnection multi-energy system is analyzed based on graph theory. Secondly, electric power system matrix operation model including DC power flow matrix operation model and AC power flow matrix operation model is established. Then, matrix operation model of thermal system is established, including matrix operation model of hydraulic model, matrix operation model of node pressure and pressure drop, and matrix operation model of flow and temperature in thermal system. Furthermore, matrix operation model of natural gas system including flow balance matrix equation model and pressure distribution matrix equation model is established. Finally, matrix model data information of each heterogeneous energy subsystem is output. The matrix model proposed has strong universality and wide application range, which can effectively provide theoretical guidance and reference for the rapid topological structure analysis, data sorting and induction of electric-thermal-natural gas interconnection multi-energy system at the system level, and save the engineering service site time and manpower and material resources.