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.

中文翻译：

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与电网耦合的天然气网络的建模和仿真

在本文中，提出了一个将天然气网络耦合到电网的数学框架，以特别描述从天然气到电力的转变。气流的动力学由等熵欧拉方程给出，而功率流方程用于模拟电网。我们推导出气流的压力定律，允许耦合的适定性和对解决方案的严格处理。出于模拟目的，我们应用适当的数值方法，并在实验研究中展示了天然气发电可能如何分别影响天然气和电力网络的动态。