Titlebook: Mathematical Modeling, Simulation and Optimization for Power Engineering and Management; Simone Göttlich,Michael Herty,Anja Milde Book 202

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Using the Stein Two-Stage Procedure to Calculate Uncertainty in a System for Determining Gas Qualitit uncertainty with sufficient accuracy and reliability. The analysis shows that the number of Monte Carlo runs depends on the stochastic properties of the calculation results, particularly on the excess of probability distribution. It shows how Stein’s two-stage procedure can be adapted to determine the measurement uncertainty reliably.

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Coupling of Two Hyperbolic Systems by Solving Half-Riemann Problemsfluid with a solid modelled by the Euler equations supplemented with a stiffened gas equation and a linear elastic model, respectively. This framework may serve as a basis for investigations of coupling conditions on nodes of a gas network.

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GivEn—Shape Optimization for Gas Turbines in Volatile Energy Networkse. We also describe the underlying coupling structure of the multiphysical simulations and use modern, gradient based multiobjective optimization procedures to enhance the exploration of Pareto-optimal solutions.

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New Time Step Strategy for Multi-period Optimal Power Flow Problemschange substantially. Hence, the size of the linear systems can be reduced. We tested this method for the German Power Grid of the year 2023 and a synthetic 960 h profile. We were able to reduce the amount of time steps by 40% without changing the quality objective function’s value significantly.

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