The proposal of the energy internet system has set off a new wave of energy reform. The integrated energy system is an important physical energy carrier of the Internet, including energy conversion, distribution and organic coordination. The purpose of this work is to study and analyze the energy network system, and to preliminarily study the steady-state modeling of the energy network system. The physical model of the Internet energy system is analyzed, and the steady-state model of the Internet energy system including the power system and the thermal system is established. Secondly, the static safety analysis of the multi-energy flow of the energy grid system is carried out. The power flow calculation results of the power system show that there is a certain difference in the settlement results between the mutual aid control method and the protection control method. Node D changes from a PV node to a balanced node, the voltage amplitude remains the same, both 1.04 p.u., and the phase angle changes, from 0 to -0.1465. The energy flow calculation results show that the gas pressure also changes in the two control modes. The pressure of node 2 changes from a constant-flow gas source node to a balance node, and the pressure of node 4 is a balance node in both control modes. The pressure remains unchanged and changes, and the energy transmission power of the two subsystems decreases.