Real Time Solution for Inverse Heat Conduction Problem in One-Dimensional Plate Utilizing Fuzzy- Proportional–Integral–Derivative Controller

Document Type : Research Article

Authors

1 mechanical engineering, arak university of technology

2 صنعتی اراک-مهندسی مکانیک

Abstract

This paper dealing with a novel algorithm based on features of fuzzy- proportional–integral–derivative controllers to estimate heat flux on the inverse heat conduction problems. The main structure of Fuzzy- proportional–integral–derivative is a proportional–integral–derivative controller in which the proportional, integrator and the derivative gains are obtained online by fuzzy system. The input of the algorithm is the measured temperatures within the model. In each time-step, the smart controller calculates the proper heat flux in order to adjust the measured temperature with the desired input temperature. The model studied a flat plate with an insulated surface and an active level that affects the variable heat flux at the time. The variation of heat flux with time can be considered to be constant, step, and triangular. The measured temperatures are obtained at the active and inactive surface with numerical simulation. The effect of noise level at the measurement temperatures on the accuracy of the proposed method is investigated. The estimations and error analysis indicate that this algorithm is very successful in estimating the different forms of heat flux with different amounts of noise and the different thermocouple positions in the wall. The accuracy of the proposed sequence method is higher than that of the Tikhonov method.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 53, Issue 1
April 2021
Pages 303-316

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