Development of heat consumption digital twin for cyber-physical systems under conceptual uncertainty

The study of the digital twin development as a computer prototype of a water heater isreviewed. The analysis for the uncertain parameter’s presence of water heater mathemati-cal model is carried out. It was found the analytical model of the water heater contains fourparameters need to be refine to adapt the model to the real heat transfer process. These pa-rameters include the flow rates and heat transfer coefficients characterizing the heat flowthrough the heat exchange surface of the equipment. To adapt the water heater model, analgorithm for passive identification of uncertain parameters is considered, minimizing thevariation quadratic quality criterion of the mathematical model parameters from the realheat transfer process. Numerical examples showed that the uncertain coefficients identifi-cation of the model under consideration belongs to a one-extreme optimization problem.The numerical modeling results have confirmed the effectiveness of the proposed approachto the development of water heater digital twin for industrial enterprises cyber-physicalsystems. The considered example of developing a digital twin can easily be extended to oth-er types of heat exchangers used in industrial enterprises in heat generation and heat con-sumption systems.