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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

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

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

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

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

We present a dynamic model for the optimal control problem (OCP) of hydrogen blending into natural gas pipeline networks subject to inequality constraints. The dynamic model is derived using the first principles partial differential…

Optimization and Control · Mathematics 2024-02-27 Saif R. Kazi , Kaarthik Sundar , Anatoly Zlotnik

In this paper, we present a new control model for optimizing pressure and water quality operations in water distribution networks. Our formulation imposes a set of time-coupling constraints to manage temporal pressure variations, which are…

Optimization and Control · Mathematics 2024-09-24 Bradley Jenks , Aly-Joy Ulusoy , Filippo Pecci , Ivan Stoianov

This paper presents a distributed nonlinear model predictive control that uses alternating direction method of mul tipliers for district heating networks. Exploiting a graph-based modeling of the thermal dynamics, our controller optimizes…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Alessandro Bettoni , Giacomo Mastroddi , Marco Muttoni

We formulate a control system model for the distributed flow of mixtures of highly heterogeneous gases through large-scale pipeline networks with time-varying injections of constituents, withdrawals, and control actions of compressors. This…

Optimization and Control · Mathematics 2023-05-23 Luke Baker , Saif R. Kazi , Rodrigo B. Platte , Anatoly Zlotnik

This paper proposes a compositional modeling framework for the optimal energy management of a district network. The focus is on cooling of buildings, which can possibly share resources to the purpose of reducing maintenance costs and using…

Systems and Control · Computer Science 2020-05-12 Daniele Ioli , Alessandro Falsone , Alessandro Vittorio Papadopoulos , Maria Prandini

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

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…

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

Existing techniques for the cost optimization of water distribution networks either employ meta-heuristics, or try to develop problem-specific optimization techniques. Instead, we exploit recent advances in generic NLP solvers and explore a…

Systems and Control · Electrical Eng. & Systems 2021-11-24 Saumya Goyal , Om Damani , Ashutosh Mahajan

This paper examines aspirational requirements for software addressing mixed-integer optimization problems constrained by the nonlinear Shallow Water partial differential equations (PDEs), motivated by applications such as river-flow…

Optimization and Control · Mathematics 2026-05-26 Fabio DiFonzo , Michael Holst , Morteza Kimiaei , Vyacheslav Kungurtsev , Songqiang Qiu

Many systems exhibit a mixture of continuous and discrete dynamics. We consider a family of mixed-integer non-convex non-linear optimisation problems obtained in discretisations of optimal control of such systems. For this family, a…

Optimization and Control · Mathematics 2020-01-23 Jorn Baayen , Jakub Marecek

In this paper, we propose an economic nonlinear model predictive control (MPC) algorithm for district heating networks (DHNs). The proposed method features prosumers, multiple producers, and storage systems, which are essential components…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Max Sibeijn , Saeed Ahmed , Mohammad Khosravi , Tamás Keviczky

Linear programming is used as a standard tool for optimising unit commitment or power flows in energy supply systems. For heat supply systems, however, it faces a relevant limitation: For them, energy yield depends on the output…

Optimizing the transient control of gas networks is a highly challenging task. The corresponding model incorporates the combinatorial complexity of determining the settings for the many active elements as well as the non-linear and…

Optimization and Control · Mathematics 2022-06-14 Felix Hennings , Kai Hoppmann-Baum , Janina Zittel
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