Modeling and passivity properties of multi-producer district heating systems

We propose a comprehensive nonlinear ODE-based thermo-hydraulic model of district heating system featuring several heat producers, consumers and storage devices which are interconnected through distribution network meshed topology whose temperature dynamics explicitly considered. Moreover, we analyze the conditions under hydraulic thermal subsystems exhibit shifted passivity properties. For subsystem, our claims on draw monotonicity vector field associated to system’s flow dynamics, mainly codifies viscous friction effects pressures. function based ectropy thermodynamic system, recently used in analysis exchanger networks.