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By: Arkadiy Dantsker, Mykyta Semeniuk, and Jane Brito.
Professor, Department of Environmental Pollution, Detex Analytics, USA
The paper covers the temperature thermal control of the water distribution system by predicting the temperature exceeding the safe level at pipes’ locations and shutting off the water access to the main distribution pipe. The advantages of predictive thermal control over setting the maximum allowed temperature are provided. The prediction uses a transient heat conduction model with an error function approximation for arbitrary distance from the surface.
It is provided analysis of existing theoretical models for predicting soil temperature and covered complexity of thermal diffusivity surface temperature identification in real time. The resolution of this problem consists in identifying effective thermal diffusivity and the surface temperature by using least square operator to minimize difference between monitoring and theoretical temperatures as the solution of the transient conduction equation. Solving such ill-posed problem with defined operator require solving a nonlinear operator equation. The equations are solved using the theory of hypernumbers. The objectives for using method of hypernumbers for solving nonlinear equation of high complexity are derived from hypernumber sequence convergence. The method can be extended for a new complex thermal conduction model.An example of such thermal control implementation using temperature sensors, minicomputers Raspberry Pi and a solenoid valve is provided.
Citation:
Refrences:
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