Eur. Phys. J. Plus (2019) 134: 496
https://doi.org/10.1140/epjp/i2019-12939-8

Regular Article

Double pipe heat exchanger temperatures estimation using fractional observers

¹ Posgrado del Tecnológico Nacional de México/CENIDET, Int. Internado Palmira S/N, Cuernavaca, Palmira C.P.62490, Morelos, Mexico
² Tecnológico Nacional de México/CENIDET, Int. Internado Palmira S/N, Cuernavaca, Palmira C.P.62490, Morelos, Mexico
³ CONACyT-Tecnológico Nacional de México/CENIDET, Int. Internado Palmira S/N, Cuernavaca, Palmira C.P.62490, Morelos, Mexico
⁴ Centro de Investigación en Ingeniería y Ciencias Aplicadas (CIICAp-IICBA), Universidad Autónoma del Estado de Morelos (UAEM), Av. Universidad 1001, Col. Chamilpa, 62209, Cuernavaca, Morelos, Mexico

^* e-mail: esjiri@cenidet.edu.mx

Received: 30 January 2019
Accepted: 17 August 2019
Published online: 9 October 2019

Abstract

This work presents a high-gain fractional observers (HGFO) design in the Atangana-Baleanu-Caputo (ABC) sense applied to heat transfer process in specific to a condenser device. The aim of the HGFOs is to achieve the best outlet temperatures estimation as well as both fluid temperatures dynamics using different values of the derivative order, and using only one measured temperature for the observer design; therefore, for this purpose, two high-gain fractional observers were designed: one uses the outlet temperature of the cooling fluid and the other uses the outlet temperature of the condensed fluid. Simulations results carried out using experimental temperatures show the effectiveness of the proposed method.