A 2-DAE system gas network model in view to optimisation as a dynamic game

In this paper, we propose to model the optimisation of gas networks as a disturbed LQ game, where each player chooses his strategy according to a modified Nash condition under OL information structure. The dynamics in the network, as well as the coupling conditions, are modelled through a DAE system, and as a consequence a network with loops and nonpipe elements is considered. Conditions for the existence and uniqueness of such an equilibrium are related to the solution of certain Riccati differential equations and a boundary value problem. For simplicity sake, the two-player case is considered. A simple network, where the players are two controllable elements relevant to the network dynamics, is used to illustrate the calculation procedure.