Modeling and simulation of gas networks coupled to power grids
This work provides a rigorous mathematical foundation for modeling coupled gas and power systems, which is important for energy system operators and planners studying the transition from gas to power.
The paper develops a mathematical framework for coupling gas networks to electric grids, deriving pressure laws for well-posedness and demonstrating through simulations how gas-to-power conversion affects network dynamics.
In this paper, a mathematical framework for the coupling of gas networks to electric grids is presented to describe in particular the transition from gas to power. The dynamics of the gas flow are given by the isentropic Euler equations, while the power flow equations are used to model the power grid. We derive pressure laws for the gas flow that allow for the well-posedness of the coupling and a rigorous treatment of solutions. For simulation purposes, we apply appropriate numerical methods and show in a experimental study how gas-to-power might influence the dynamics of the gas and power network, respectively.