# Modeling and simulation of gas networks coupled to power grids

## TL;DR

This paper develops a mathematical framework for coupling gas networks with electric grids, modeling the transition from gas to power, and demonstrates how this coupling influences network dynamics through simulations.

## Contribution

It introduces a novel coupling model using pressure laws that ensure well-posedness and provides numerical methods for simulating gas-power network interactions.

## Key findings

- Gas-to-power transition affects network dynamics
- Coupling model ensures mathematical well-posedness
- Simulations illustrate impact on gas and power flows

## 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.