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Thermal transport in classical fluids is analyzed in terms of a Higher-Order Generalized Hydrodynamics (or Mesoscopic Hydro-Thermodynamics), that is, depending on the evolution of the energy density and its fluxes of all orders. It is…

Statistical Mechanics · Physics 2020-04-16 Cloves G. Rodrigues , Carlos A. B. Silva , Jose Galvao Ramos , Roberto Luzzi

This paper proposes a simple and flexible storage model for use in a variety of multi-period optimal power flow problems. The proposed model is designed for research use in a broad assortment of contexts enabled by the following key…

Systems and Control · Electrical Eng. & Systems 2020-05-01 Frederik Geth , Carleton Coffrin , David M Fobes

Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation…

Statistical Mechanics · Physics 2023-07-31 Karol Makuch , Konrad Giżyński , Robert Hołyst , Anna Maciołek , Paweł J. Żuk

A thermodynamically motivated neural network model is described that self-organizes to transport charge associated with internal and external potentials while in contact with a thermal reservoir. The model integrates techniques for rapid,…

Neurons and Cognition · Quantitative Biology 2020-04-22 Todd Hylton

Traffic flow prediction is an important part of smart transportation. The goal is to predict future traffic conditions based on historical data recorded by sensors and the traffic network. As the city continues to build, parts of the…

Machine Learning · Statistics 2022-12-27 Yanan Xiao , Minyu Liu , Zichen Zhang , Lu Jiang , Minghao Yin , Jianan Wang

Large dynamical changes in thermalizing glassy systems are triggered by trajectories crossing record sized barriers, a behavior revealing the presence of a hierarchical structure in configuration space. The observation is here turned into a…

Statistical Mechanics · Physics 2016-12-11 Daniele Barettin , Paolo Sibani

We develop new variational principles to study stability and equilibrium of axisymmetric flows. We show that there is an infinite number of steady state solutions. We show that these steady states maximize a (non-universal) $H$-function. We…

Fluid Dynamics · Physics 2016-08-16 Nicolas Leprovost , Bérengère Dubrulle , Pierre-Henri Chavanis

With the rise of distributed energy resources and sector coupling, distributed optimization can be a sensible approach to coordinate decentralized energy resources. Further, district heating, heat pumps, cogeneration, and sharing concepts…

Multiagent Systems · Computer Science 2025-06-23 Rico Schrage , Jari Radler , Astrid Nieße

In this paper, we propose a convex planning model of integrated heat and electricity systems considering variable mass flow rates. The main challenge comes from the non-convexity of the bilinear terms in the district heating network, i.e.,…

Optimization and Control · Mathematics 2020-11-30 Lirong Deng , Xuan Zhang , Tianshu Yang , Hongbin Sun

This study concerns the development of a data-based compact model for the prediction of the fluid temperature evolution in district heating (DH) pipeline networks. This so-called "reduced-order model" (ROM) is obtained from reduction of the…

Numerical Analysis · Mathematics 2022-11-28 Mengting Jiang , Michel Speetjens , Camilo Rindt , David Smeulders

The minimization of operation costs for natural gas transport networks is studied. Based on a recently developed model hierarchy ranging from detailed models of instationary partial differential equations with temperature dependence to…

Optimization and Control · Mathematics 2017-12-08 Volker Mehrmann , Martin Schmidt , Jeroen J. Stolwijk

The on-wing engine performance is difficult to track for thermodynamic models because of its inaccurate component maps, and also difficult for data driven methods for their over-fitting to measurement errors. So, we propose a thermodynamic…

Systems and Control · Electrical Eng. & Systems 2021-06-02 Likun Ren

We review theoretical approaches to analyzing efficiency of steady state heat to work conversion which is crucial in the timely problem of optimizing efficiency of small-scale heat engines and refrigerators. A rather abstract perspective of…

Statistical Mechanics · Physics 2013-11-19 Giuliano Benenti , Giulio Casati , Tomaz Prosen , Keiji Saito

This paper studies planning problems for a group of heating systems which supply the hot water demand for domestic use in houses. These systems (e.g. gas or electric boilers, heat pumps or microCHPs) use an external energy source to heat up…

Data Structures and Algorithms · Computer Science 2020-01-24 Jiří Fink

Thermodynamics entails a set of mathematical conditions on quantum Markovian dynamics. In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system…

Quantum Physics · Physics 2021-04-07 Roie Dann , Ronnie Kosloff

The work describes the maximization problem regarding heating of an area on the surface of a thin plate within a given temperature range. The solution of the problem is applied to ion injectors. The given temperature range corresponds to a…

Computational Physics · Physics 2016-03-07 A. Ayriyan , E. E. Donets , H. Grigorian , N. Kolkovska , A. Lebedev

The widespread use of optimization methods in the design phase of District Heating Networks is currently limited by the availability of scalable optimization approaches that accurately represent the network. In this paper, we compare and…

Optimization and Control · Mathematics 2023-06-13 Yannick Wack , Sylvain Serra , Martine Baelmans , Jean-Michel Reneaume , Maarten Blommaert

In the electric system, extreme weather events can cause trips or physical damage to transmission lines, leading to large-scale load shedding. To mitigate power shedding, we propose a framework that pre-positions the commitment of…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai , Antonio J. Conejo , Feng Qiu

Waste production, carbon dioxide atmospheric accumulation, and dependence on finite natural resources are expressions of the unsustainability of the current industrial networks that supply fuels, energy, and manufacturing products. In…

Dynamical Systems · Mathematics 2023-05-16 Federico Zocco , Pantelis Sopasakis , Beatrice Smyth , Wassim M. Haddad

We address the problem of maintaining high voltage power transmission networks in security at all time, namely anticipating exceeding of thermal limit for eventual single line disconnection (whatever its cause may be) by running slow, but…

Machine Learning · Statistics 2018-05-04 Benjamin Donnot , Isabelle Guyon , Antoine Marot , Marc Schoenauer , Patrick Panciatici
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