Modeling and simulation of gas networks coupled to power grids

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 pr...

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Bibliographic Details
Published inJournal of engineering mathematics Vol. 119; no. 1; pp. 217 - 239
Main Authors Fokken, E., Göttlich, S., Kolb, O.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.12.2019
Springer Nature B.V
Subjects
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Computer simulation
Coupling
Electric power grids
Euler-Lagrange equation
Flow equations
Gas flow
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Numerical methods
Power flow
Theoretical and Applied Mechanics
Transportation networks
Well posed problems
Power flow equations
Simulation
65M08
Gas networks
Pressure laws
35L65
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Summary: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 an experimental study how gas-to-power might influence the dynamics of the gas and power network, respectively.
ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-019-10026-6