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Related papers: Modelling and Simulation of District Heating Netwo…

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In the present paper an optimal control problem for a system of differential-algebraic equations (DAEs) is considered. This problem arises in the dynamic optimization of unsteady district heating networks. Based on the Carath\'eodory theory…

Optimization and Control · Mathematics 2023-08-11 Christian Jäkle , Lena Reichle , Stefan Volkwein

We study the modeling and simulation of gas pipeline networks, with a focus on fast numerical methods for the simulation of transient dynamics. The obtained mathematical model of the underlying network is represented by a nonlinear…

Numerical Analysis · Mathematics 2023-04-18 Yue Qiu , Sara Grundel , Martin Stoll , Peter Benner

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

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…

We propose an adaptive optimization algorithm for operating district heating networks in a stationary regime. The behavior of hot water flow in the pipe network is modeled using the incompressible Euler equations and a suitably chosen…

Optimization and Control · Mathematics 2023-05-05 Hannes Dänschel , Volker Mehrmann , Marius Roland , Martin Schmidt

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

Combined heat and power dispatch promotes interactions and synergies between electric power systems and district heating systems. However, nonlinear and nonconvex heating flow imposes significant challenges on finding qualified solutions…

Systems and Control · Electrical Eng. & Systems 2021-03-12 Yibao Jiang , Can Wan , Audun Botterud , Yonghua Song , Mohammad Shahidehpour

We examine the modeling, simulation, and optimization of district heating systems, which are widely used for thermal transport using steam or hot water as a carrier. We propose a generalizable framework to specify network models and…

Optimization and Control · Mathematics 2024-04-30 Sai Krishna K. Hari , Anatoly Zlotnik , Shriram Srinivasan , Kaarthik Sundar , Mary Ewers

The district heating network (DHN) is essential in enhancing the operational flexibility of integrated energy systems (IES). Yet, it is hard to obtain an accurate and concise DHN model for the operation owing to complicated network features…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Shuai Lu , Zihang Gao , Yong Sun , Suhan Zhang , Baoju Li , Chengliang Hao , Yijun Xu , Wei Gu

Numerical simulation of steady-state heat conduction is common for thermal engineering. The simulation process usually involves mathematical formulation, numerical discretization and iteration of discretized ordinary or partial differential…

Applied Physics · Physics 2020-10-09 Jiang-Zhou Peng , Xianglei Liu , Nadine Aubry , Zhihua Chen , Wei-Tao Wu

Using hydraulic models in control design in district heating networks can increase pumping efficiency and reduce sensitivity to hydraulic bottlenecks. These models are usually white-box, as they are obtained based on full knowledge of the…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Felix Agner , Pauline Kergus , Richard Pates , Anders Rantzer

In radio frequency applications, electric circuits generate signals, which are amplitude modulated and/or frequency modulated. A mathematical modelling yields typically systems of differential algebraic equations (DAEs). A multivariate…

Numerical Analysis · Mathematics 2017-07-27 Roland Pulch , Diana Estevez Schwarz , Rene Lamour

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

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 paper presents a non-cooperative distributed model predictive controller for the control of large-scale District Heating Networks. To enable the design of this controller a novel information passing scheme and feasibility restoration…

Systems and Control · Electrical Eng. & Systems 2025-01-27 Audrey Blizard , Stephanie Stockar

In this paper we consider calibration of hydraulic models for district heating systems based on operational data. We extend previous theoretical work on the topic to handle real-world complications, namely unknown valve characteristics and…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Felix Agner , Christian Møller Jensen , Anders Rantzer , Carsten Skovmose Kallesøe , Rafal Wisniewski

We propose a comprehensive nonlinear ODE-based thermo-hydraulic model of a district heating system featuring several heat producers, consumers and storage devices which are interconnected through a distribution network of meshed topology…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Juan E. Machado , Michele Cucuzzella , Jacquelien Scherpen

Fifth generation district heating and cooling (5GDHC) networks accelerate the use of renewable energies in the heating sector and enable flexible, efficient and future-proof heating and cooling supply via a single network. Due to their low…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Manuel Kollmar , Adrian Bürger , Markus Bohlayer , Angelika Altmann-Dieses , Marco Braun , Moritz Diehl

This paper addresses the data-based modelling and optimal control of District Heating Systems (DHSs). Physical models of such large-scale networked systems are governed by complex nonlinear equations that require a large amount of…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Laura Boca de Giuli , Alessio La Bella , Riccardo Scattolini

District heating networks are an integral part of the energy system in many countries. In future smart energy systems, they are expected to enhance energy flexibility and support the integration of renewable and waste energy sources. An…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Ask Hällström , Felix Agner , Richard Pates
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