8 citations · 11 across the 6 of their papers we have counts for
13 papers
Relax-and-round strategies for solving the Unit Commitment problem with AC Power Flow constraints
D. Gómez, S. Göttlich, A. Ríos +1
The Unit Commitment problem with AC power flow constraints (UC-ACOPF) is a non-convex mixed-integer nonlinear programming (MINLP) problem encountered in power systems. Its combinat…
On the relation of powerflow and Telegrapher's equations: continuous and numerical Lyapunov stability
Eike Fokken, Simone Göttlich
In this contribution we analyze the exponential stability of power networks modeled with the Telegrapher's equations as a system of balance laws on the edges. We show the equivalen…
Density dependent diffusion models for the interaction of particle ensembles with boundaries
Jennifer Weissen, Simone Göttlich, Dieter Armbruster
The transition from a microscopic model for the movement of many particles to a macroscopic continuum model for a density flow is studied. The microscopic model for the free flow i…
A two-dimensional multi-class traffic flow model
Caterina Balzotti, Simone Göttlich
The aim of this work is to introduce a two-dimensional macroscopic traffic model for multiple populations of vehicles. Starting from the paper [20], where a two-dimensional model f…
Second-order traffic flow models on networks
Simone Göttlich, Michael Herty, Salissou Moutari +1
This paper deals with the Aw-Rascle-Zhang model for traffic flow on uni-directional road networks. For the conservation of the mass and the generalized momentum, we construct weak…
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…