TY - RPRT A1 - Amer, Zeina A1 - Avdzhieva, Ana A1 - Bongarti, Marcelo A1 - Dvurechensky, Pavel A1 - Farrell, Patricio A1 - Gotzes, Uwe A1 - Hante, Falk M. A1 - Karsai, Attila A1 - Kater, Stefan A1 - Liero, Matthias A1 - Spreckelsen, Klaus A1 - Taraz, Johannes A1 - Peschka, Dirk A1 - Plato, Luisa T1 - Modeling Hydrogen Embrittlement for Pricing Degradation in Gas Pipelines N2 - This paper addresses the critical challenge of hydrogen embrittlement in the context of Germany’s transition to a sustainable, hydrogen-inclusive energy system. As hydrogen infrastructure expands, estimating and pricing embrittlement become paramount due to safety, operational, and economic concerns. We present a twofold contribution: (1) We discuss hydrogen embrittlement modeling using both continuum models and simplified approximations. (2) Based on these models, we propose optimization-based pricing schemes for market makers, considering simplified cyclic loading and more complex digital twin models. Our approaches leverage widely-used subcritical crack growth models in steel pipelines, with parameters derived from experiments. The study highlights the challenges and potential solutions for incorporating hydrogen embrittlement into gas transportation planning and pricing, ultimately aiming to enhance the safety and economic viability of Germany’s future energy infrastructure. Y1 - 2025 ER - TY - INPR A1 - Bongarti, Marcelo A1 - Hintermüller, T1 - Optimal boundary control of the isothermal semilinear Euler equation for gas dynamics on a network N2 - The analysis and boundary optimal control of the nonlinear transport of gas on a network of pipelines is considered. The evolution of the gas distribution on a given pipe is modeled by an isothermal semilinear compressible Euler system in one space dimension. On the network, solutions satisfying (at nodes) the Kirchhoff flux continuity conditions are shown to exist in a neighborhood of an equilibrium state. The associated nonlinear optimization problem then aims at steering such dynamics to a given target distribution by means of suitable (network) boundary controls while keeping the distribution within given (state) constraints. The existence of local optimal controls is established and a corresponding Karush-Kuhn-Tucker (KKT) stationarity system with an almost surely non-singular Lagrange multiplier is derived. KW - optimal boundary control KW - gas dynamics KW - gas networks KW - isothermal Euler equation KW - compressible fluid dynamics Y1 - 2023 ER -