Abstract

OJEDA-MISSES, Manuel Alejandro  and  GONZALEZ-LOPEZ, Juan Carlos. Numerical simulation of temperature control for a concentrated parameters model obtained from Newton's law of cooling. Ing. invest. y tecnol. [online]. 2023, vol.24, n.3.  Epub Nov 17, 2023. ISSN 2594-0732.  https://doi.org/10.22201/fi.25940732e.2023.24.3.020.

This article presents the numerical simulation of the temperature control for a second order model of concentrated parameters obtained from Newton's law of cooling. The model considers a thermal system of concentrated parameters, whose substances are characterized by a resistance to heat flow and have a thermal capacitance, which usually have heat loss. Therefore, it is found a model based on a transfer function that allows implementing a controller capable of optimizing the cost function and taking advantage of the performance with the least loss of energy. For this, a proportional derivative (PD) controller is used under the tuning of a linear quadratic regulator (LQR) that allows minimizing the performance criteria. Finally, the results and conclusions are presented, which allow validating the performance of the proposed model and the implemented controller.

Keywords : Temperature control; Newton's law of cooling; control engineering; optimal control; feedback.

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