Adjustment of optimal parameters to control the temperature in different conductors

Document Type : Chemistry Article

Authors

1 Department of Chemical Engineering, Faculty of Engineering, University of Kashan, Kashan, Iran

2 Department of Chemical Engineering, Faculty of Engineering,, Razi University, Kermanshah, Iran

3 Department of Chemical Engineering, Faculty of Engineering, Kashan, Iran.

4 Department of Chemical Engineering, Faculty of Petroleum and Chemical Engineering, University of Hormozgan, Iran.

Abstract

PID controller is a closed-loop control algorithm and method using the concept of feedback that is used in many industrial processes to control the speed of DC motors, pressure control, temperature control, and so on. For this purpose, a horizontal object with different conductivities was chosen to control its temperature by changing the heat flux. Then the studied system was written in the state space. In this method, partial differential equations were converted into ordinary differential equations with the help of finite difference, then a suitable controller was designed for temperature control. In this method, the differential equations expressing the process were written as simultaneous first order differential equations. The results show that for the stability of systems with poor thermal conductivity (small value of α) should be K_p/K_i =10 and K_d=0.1. For systems with medium thermal conductivity should be K_p/K_i =0.1 and K_d=0.1. For systems with strong thermal conductivity (large value of α), K_p/K_i =1 should be selected.

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Articles in Press, Accepted Manuscript
Available Online from 31 December 2023
  • Receive Date: 16 September 2022
  • Revise Date: 18 December 2023
  • Accept Date: 23 December 2023