collaborators

5 papers

math.OC2020

Fast and Reliable Transient Simulation and Continuous Optimization of Large-Scale Gas Networks

Pia Domschke, Oliver Kolb, Jens Lang

We are concerned with the simulation and optimization of large-scale gas pipeline systems in an error-controlled environment. The gas flow dynamics is locally approximated by suffi…

eess.SY2020

Modeling and simulation of sector-coupled networks: A gas-power benchmark

Eike Fokken, Tillmann Mühlpfordt, Timm Faulwasser +2

In this contribution, we aim at presenting a gas-to-power benchmark problem that can be used for the simulation of electricity and gas networks in a time-dependent environment. Bas…

math.OC2020

Chance-constrained optimal inflow control in hyperbolic supply systems with uncertain demand

Simone Göttlich, Oliver Kolb, Kerstin Lux

In this paper, we address the task of setting up an optimal production plan taking into account an uncertain demand. The energy system is represented by a system of hyperbolic part…

math.NA2019

Weighted Essentially Non-Oscillatory stochastic Galerkin approximation for hyperbolic conservation laws

Louisa Schlachter, Florian Schneider, Oliver Kolb

In this paper we extensively study the stochastic Galerkin scheme for uncertain systems of conservation laws, which appears to produce oscillations already for a simple example of…

math.OC2019

Optimal control of compressor stations in a coupled gas-to-power network

Eike Fokken, Simone Göttlich, Oliver Kolb

We introduce a tool for simulation and optimization of gas pipeline networks coupled to power grids by gas-to-power plants. The model under consideration consists of the isentropic…