Modeling and passivity properties of multi-producer district heating systems. (August 2022)

• Record Type: Journal Article
• Authors: Machado, Juan E.; Cucuzzella, Michele; Scherpen, Jacquelien M.A.
• Is Part Of: Automatica. Volume 142(2022)
• Publication Date: 2022-08
• Subjects: District heating -- Modeling -- Shifted passivity; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2022.110397
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: 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 whose temperature dynamics are explicitly considered. Moreover, we analyze the conditions under which the hydraulic and thermal subsystems of the model exhibit shifted passivity properties. For the hydraulic subsystem, our claims on passivity draw on the monotonicity of the vector field associated to the district heating system's flow dynamics, which mainly codifies viscous friction effects on the system's pressures. For the temperature dynamics, we propose a storage function based on the ectropy function of a thermodynamic system, recently used in the passivity analysis of heat exchanger networks.