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相关论文: On a port-Hamiltonian formulation and structure-pr…

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Hydrogen's growing role in the transition towards climate-neutral energy systems necessitates structured modeling frameworks. Existing gas network models, largely developed for natural gas, fail to capture hydrogen systems distinct…

最优化与控制 · 数学 2025-12-03 Abdullah Shahin , Hannes Gernandt , Anton Plietzsch , Johannes Schiffer

We combine energy-stable and port-Hamiltonian (pH) systems to obtain energy-stable port-Hamiltonian (espH) systems. The idea is to extend the known energy-stable systems with an input-output port, which results in a pH formulation. One…

数值分析 · 数学 2025-06-10 Patrick Buchfink , Silke Glas , Hans Zwart

This paper provides a first contribution to port-Hamiltonian modeling of district heating networks. By introducing a model hierarchy of flow equations on the network, this work aims at a thermodynamically consistent port-Hamiltonian…

The port-Hamiltonian framework is a structure-preserving modeling approach that preserves key physical properties such as energy conservation and dissipation. When subsystems are modeled as port-Hamiltonian systems (pHS) with linearly…

动力系统 · 数学 2025-11-26 Matthias Ehrhardt , Michael Günther , Daniel Ševčovič

The port-Hamiltonian modelling framework allows for models that preserve essential physical properties such as energy conservation or dissipative inequalities. If all subsystems are modelled as port-Hamiltonian systems and the inputs are…

数值分析 · 数学 2023-01-06 Andreas Bartel , Markus Clemens , Michael Günther , Birgit Jacob , Timo Reis

The Irreversible Port-Hamiltonian Systems (IPHS) framework is extended to the modelling of non-isentropic fluids with viscous dissipation in the Eulerian description. Building on earlier IPHS formulations for diffusion-driven and…

流体动力学 · 物理学 2026-03-13 Ahlam Ouardi , Arijit Sarkar , Hector Ramirez , Yann Le Gorrec

Port-Hamiltonian (pH) systems offer a highly structured and energy-based modular framework for control systems. Many pH systems exhibit non-polynomial non-linearities. We consider the problem of immersing such systems into a…

系统与控制 · 电气工程与系统科学 2026-03-12 Mohammad Itani , Manuel Schaller , Karl Worthmann , Timm Faulwasser

Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings, non-trivial domains and diverse nonlinearities. A major…

动力系统 · 数学 2024-03-15 Philipp L. Kinon , Tobias Thoma , Peter Betsch , Paul Kotyczka

In this two-parts paper, we present a systematic procedure to extend the known Hamiltonian model of ideal inviscid fluid flow on Riemannian manifolds in terms of Lie-Poisson structures to a port-Hamiltonian model in terms of Stokes-Dirac…

微分几何 · 数学 2021-05-05 Ramy Rashad , Federico Califano , Frederic P. Schuller , Stefano Stramigioli

Part I of this paper presented a systematic derivation of the Stokes Dirac structure underlying the port-Hamiltonian model of ideal fluid flow on Riemannian manifolds. Starting from the group of diffeomorphisms as a configuration space for…

流体动力学 · 物理学 2021-05-05 Ramy Rashad , Federico Califano , Frederic P. Schuller , Stefano Stramigioli

In this paper we consider the problem of obtaining a general port-Hamiltonian formulation of Newtonian fluids. We propose the port-Hamiltonian models to describe the energy flux of rotational three-dimensional isentropic and non-isentropic…

流体动力学 · 物理学 2020-03-26 Luis A. Mora , Yann Le Gorrec , Denis Matignon , Hector Ramirez , Juan Yuz

This paper deals with the systematic development of structure-preserving approximations for a class of nonlinear partial differential equations on networks. The class includes, for example, gas pipe network systems described by barotropic…

数值分析 · 数学 2022-03-25 Björn Liljegren-Sailer , Nicole Marheineke

Fluid dynamics plays a crucial role in various multiphysics applications, including energy systems, electronics cooling, and biomedical engineering. Developing models for complex coupled systems can be challenging and time-consuming. In…

计算工程、金融与科学 · 计算机科学 2024-12-09 Markus Lohmayer , Michael Kraus , Sigrid Leyendecker

A port-Hamiltonian (pH) system formulation is a geometrical notion used to formulate conservation laws for various physical systems. The distributed parameter port-Hamiltonian formulation models infinite dimensional Hamiltonian dynamical…

偏微分方程分析 · 数学 2022-12-15 N. Kumar , J. J. W. van der Vegt , H. J. Zwart

This thesis deals with the formulation and analysis of two systems of conservation laws defined on two complementary intervals and coupled by some moving interface as a single infinite-dimensional port-Hamiltonian system. This approach may…

偏微分方程分析 · 数学 2023-01-19 Alexander Kilian

This paper proposes to build a bridge between microscopic descriptions of matter with internal energy, composed of many fast interacting particles inside an environment, and their port-Hamiltonian (PH) descriptions at macroscopic scale. The…

动力系统 · 数学 2023-01-16 Judy Najnudel , Thomas Hélie , David Roze , Rémy Muller

Port-Hamiltonian systems theory provides a structured approach to modelling, optimization and control of multiphysical systems. Yet, its relationship to thermodynamics seems to be unclear. The Hamiltonian is traditionally thought of as…

经典物理 · 物理学 2021-11-01 Markus Lohmayer , Paul Kotyczka , Sigrid Leyendecker

A new formulation for the modular construction of flexible multibody systems is presented. By rearranging the equations for a flexible floating body and introducing the appropriate canonical momenta, the model is recast into a coupled…

经典物理 · 物理学 2020-10-07 Andrea Brugnoli , Daniel Alazar , Valérie Pommier-Budinger , Denis Matignon

Port-Hamiltonian (pH) systems are a very important modeling tool in almost all areas of systems and control, in particular in network based model of multi-physics multi-scale systems. They lead to remarkably robust models that can be easily…

最优化与控制 · 数学 2019-03-19 Karim Cherifi , Volker Mehrmann , Kamel Hariche

It is well known that any port-Hamiltonian (pH) system is passive, and conversely, any minimal and stable passive system has a pH representation. Nevertheless, this equivalence is only concerned with the input-output mapping but not with…

最优化与控制 · 数学 2025-03-12 Tobias Holicki , Jonas Nicodemus , Paul Schwerdtner , Benjamin Unger
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