Methods of steady-state simulation for gas networks

Relationships between different methods of steady-state simulation for gas networks have been analysed. This analysis has been carried out on the assumption that the problem of simulation is solved by the multidimensional Newton method. By varying the assumptions made concerning the set of basic equations (Kirchhoff's first and second laws and the flow equation), four different formulations have been obtained, i.e. the loop method, the loop-node method, the node method and the node-loop method. The advantages and disadvantages of each formulation are described.