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In this paper, we use stochastic polynomial optimization to derive high-performance operating strategies for heating networks with uncertain or variable demand. The heat flow in district heating networks can be regulated by varying the…

Optimization and Control · Mathematics 2019-02-05 Marc Hohmann , Joseph Warrington , John Lygeros

We define a \emph{thermal network}, which is a network where the flow functionality of a node depends upon its temperature. This model is inspired by several types of real-life networks, and generalizes some conventional network models…

Discrete Mathematics · Computer Science 2016-07-12 Samiksha Sarwari , Shrisha Rao

Advanced control strategies for delivering heat to users in a district heating network have the potential to improve performance and reduce wasted energy. To enable the design of such controllers, this paper proposes an automated plant…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Audrey Blizard , Stephanie Stockar

The demand-side control of district heating networks is notoriously challenging due to the large number of connected users and the high number of states to be considered. To overcome these challenges, this paper presents a hierarchical…

Systems and Control · Electrical Eng. & Systems 2024-04-15 Audrey Blizard , Colin N. Jones , Stephanie Stockar

Technical components are usually well optimized. However, simply combining these optimized components in a technical system does not necessarily lead to optimal systems. Therefore, focusing on a system perspective reveals new potential for…

Optimization and Control · Mathematics 2018-10-31 Jonas Benjamin Weber , Ulf Lorenz

We study the optimal control of district heating networks using a reduced order model based on a system theoretic description close to the underlying Euler equations. In the presented scenarios, the central task is to limit the maximal…

Optimization and Control · Mathematics 2019-07-12 Markus Rein , Jan Mohring , Tobias Damm , Axel Klar

We develop a complementarity-constrained nonlinear optimization model for the time-dependent control of district heating networks. The main physical aspects of water and heat flow in these networks are governed by nonlinear and hyperbolic…

Optimization and Control · Mathematics 2020-04-22 Richard Krug , Volker Mehrmann , Martin Schmidt

We extend the canonical problems of simulation and optimization of steady-state gas flows in pipeline networks with compressors to the transport of mixtures of highly heterogeneous gases injected throughout a network. Our study is motivated…

Optimization and Control · Mathematics 2022-12-05 Saif R. Kazi , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik

District heating is an important component in the EU strategy to reach the set emission goals, since it allows an efficient supply of heat while using the advantages of sector coupling between different energy carriers such as power, heat,…

Optimization and Control · Mathematics 2024-09-24 Daniela Guericke , Amos Schledorn , Henrik Madsen

This article deals with the problem of finding the best topology, pipe diameter choices, and operation parameters for realistic district heating networks. Present design tools that employ non-linear flow and heat transport models for…

Computational Engineering, Finance, and Science · Computer Science 2020-10-19 Maarten Blommaert , Yannick Wack , Martine Baelmans

The conventionally independent power, water, and heating networks are becoming more tightly connected, which motivates their joint optimal energy scheduling to improve the overall efficiency of an integrated energy system. However, such a…

Systems and Control · Electrical Eng. & Systems 2021-11-29 Sidun Fang , Chenxu Wang , Yashen Lin , Changhong Zhao

Heat pumps have the capability for fast adjustments in power consumption with potential connections to large heating-inertia district heating networks, and are thus a very important resource for providing frequency support in low-inertia…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Xin Qin , Ioannis Lestas

In this work we consider a flow network for which the goal is to solve a practical optimal regulation problem in the presence of input saturation. Based on Lyapunov arguments we propose distributed controllers which guarantee global…

Optimization and Control · Mathematics 2016-06-28 Tjardo Scholten , Claudio De Persis , Pietro Tesi

This paper investigates the control of flow networks, where the control objective is to regulate the measured output (e.g storage levels) towards a desired value. We present a distributed controller that dynamically adjusts the inputs and…

Systems and Control · Computer Science 2017-08-03 Sebastian Trip , Tjardo Scholten , Claudio De Persis

Over the past decades, engineering systems have developed as networks of systems that deliver multiple services across multiple domains. This work aims to develop an optimization program for a dynamic, hetero-functional graph theory-based…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Wester C. H. Schoonenberg , Amro M. Farid

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

Heat fluxes in a district heating pipeline systems need to be controlled on the scale from minutes to an hour to adjust to evolving demand. There are two principal ways to control the heat flux - keep temperature fixed but adjust velocity…

Physics and Society · Physics 2017-10-26 Michael Chertkov , Nikolai N. Novitsky

In the present paper a detailed mathematical model is derived for district heating networks. After semidiscretization of the convective heat equation and introducing coupling conditions at the nodes of the network one gets a…

Optimization and Control · Mathematics 2023-08-10 Christian Jäkle , Lena Reichle , Stefan Volkwein

In the presented study, a pipe penalization approach for the economic topology optimization of District Heating Networks is proposed, drawing inspiration from density-based topology optimization. For District Heating Networks, the upfront…

Computational Engineering, Finance, and Science · Computer Science 2022-11-24 Yannick Wack , Martine Baelmans , Robbe Salenbien , Maarten Blommaert

The growing electrification of transportation and heating through Electric Vehicles (EVs) and Heat Pumps (HPs) introduces both flexibility and complexity to Active Distribution Networks (ADNs). These resources provide substantial…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou
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