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arXiv · 1812.11438

Modeling and simulation of gas networks coupled to power grids

Eike Fokken·Simone Göttlich·Oliver Kolb
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Abstract

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.

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Eike Fokken, Simone Göttlich, Oliver Kolb. 2018-12-29. Modeling and simulation of gas networks coupled to power grids. https://arxiv.org/abs/1812.11438

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