A Non-Dominated Sorting Genetic Algorithm Ii-Based 3 Degree of Freedom Controller for Shell and Tube Heat Exchanger

H. K. Magaji, Y. A. Sha'aban, T. H. Sikiru, A. T. Salawudeen

Abstract


This research presents a three Degree of Freedom (3DoF) based outlet fluid temperature controller for Shell and Tube Heat Exchanger (STHX). Shell and Tube Heat Exchangers are classes of heat exchangers which are utilized for heat transfer between fluids in industries. The ultimate goal of any controller design is to track the set point by the STHX, especially, in the presence of noise and disturbance. Great results have been achieved by the use of a 2 degree of freedom controller; however, tracking of the set point is hampered by a tradeoff that exists between noise suppression and disturbance rejection. In order to address this challenge, an existing STHX experimental data was employed to develop a three degree of freedom Proportional Integral Derivative (PID) controller. A Multi-Objective Optimization Problem (MOP) of set point tracking, disturbance rejection, and noise suppression was formulated using Integral Absolute Error (IAE), Integral of Squared Error (ISE), and Integral of Time-weighted Absolute Error (ITAE) as cost functions. The Non-Dominated Sorting Genetic Algorithm II (NSGA) was deployed for the optimization of the parameters of the PID while subjecting the system to noise. The simulations results were obtained and compared to those obtained with 2DoF controller. The settling times, rise times and overshoots obtained from the simulations reveal the superior performance of the developed 3DoF controller. Hence, great rejection of noise is achieved with a 3DoF controller for STHX.


Full Text:

PDF

References


Araki, M., & Taguchi, H. (2003). Two-degree-of-freedom PID controllers. International Journal of Control Automation and Systems, 1(4), 401–411.

Berto, M. I., & Jr, V. S. (2000). Configuration of PID / Feedback and PID / Feedback / Feedforward Controllers in Temperature Control of a HTST Heat Exchanger. 2nd Mercosur Congress on Chemical Engineering / 4th Mercosur Congress on Process Systems Engineering, 1–10.

Brownlee, J. (2011). Clever Algorithms Nature-Inspired Programming Recipes. In J. Brownlee (Ed.), Evolutionary Algorithm (First, p. 92). Melbourne, Australia: Lulu.

Chen, X. (n.d.). Genetic Algorithm. In C. Chipperfied, Andrew; Fleming, Peter; Pohlheim, Hartmut; Fonseca (Ed.), Toolbook User’s Guide (First, pp. 1–16). University of Sheffied: Automatic Control and Systems Engineering.

Deb, K., Pratap, A., Agarwal, S., & Meyarivan, T. (2002). A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation, 6(2), 182–197.

Debnath, M. K., Satapathy, P., & Mallick, R. K. (2017). 3DOF-PID controller based automatic generation control using TLBO algorithm. International Journal of Pure and Applied Mathematics, 114(9 Special Issue).

Deshmukh, G. L., & Kadu, C. B. (2017). Design of two degree of freedom PID controller for temperature control system. In International Conference on Automatic Control and Dynamic Optimization Techniques, ICACDOT 2016 (pp. 586–589).

Dhakad, S., Dandotiya, D., Pandey, P. K., & Singh, D. B. V. (2013). An Intelligent Control Strategies Implemented on Heat Exchanger System. International Journal of Emerging Technologies in Computational and Applied Sciences ( IJETCAS ), 195–200.

Duran, O., Rodriguez, N., & Airton, L. (2009). Neural networks for cost estimation of shell and tube heat exchangers. Elsevier Expert Systems With Applications, 36(4), 7435–7440.

G.M.Sarabeevi, & Laila, M. B. (2016). Temperature Contorl of Shell and Tube Heat Exchanger System Using Internal Model Control. In International Confrence on Next Generation Intelligent Systems (ICNGIS).

Gupta, A., Goindi, S., Singh, G., Saini, H., & Kumar, R. (2017). Optimal design of PID controllers for time delay systems using genetic algorithm and simulated annealing. In 2017 International Conference on Innovative Mechanisms for Industry Applications (ICIMIA) (pp. 66–69). Bengaluru, India: IEEE.

Khalili Dizaji, N. (2015). Design of a PID Feed-Forward Controller for Controlling Output Fluid Temperature in Shell and Tube Hear Exchanger. Journal of Electrical and Electronic Engineering, 3(2), 30.

Mallawaarachchi, V. (2017). Introduction to Genetic Algorithms. Retrieved from https://towardsdatascience/introduction-to-genetic-algorithms-including-examples-code-e396e98d8bf3

Padhee, S., Khare, Y. B., & Singh, Y. (2011). Internal model based PID control of shell and tube heat exchanger system. In IEEE Technology Students’ Symposium (pp. 297–302). Kharagpur: IEEE.

Padhee, S., Khare, Y. B., & Singh, Y. (2011). Internal Model Based PID Control of Shell and Tube Heat Exchanger System. Proceeding of the 20011 IEEE Students’ Technology Symposium, 297–302.

Singh, C., & Goel, A. K. (2015). Genetic Algorithms Based PID Controller for Temperature Control of Shell and tube Heat Exchanger System. International Journal of Emerging Technology and Advanced Engineering, 5(12), 6.

Sodja, A., & Zupanˇ, B. (2009). Some aspects of the modeling of tube-and-shell heat-exchangers, 20–22.

Suthar, H. A., & Gadit, J. J. (2017a). Multiobjective optimization of 2DOF controller using NSGA-II for shell and tube heat exchanger. In 2017 International Conference on Information, Communication, Instrumentation and Control (ICICIC) (pp. 1–8). Indore: IEEE.

Suthar, H. A., & Gadit, J. J. (2017b). Two degree of freedom controller optimization using GA for shell and tube heat exchanger. In 2017 11th International Conference on Intelligent Systems and Control (ISCO) (pp. 1–7). Coimbatore, India: IEEE.

Suzumura, A. & Fujimoto, Y. (2015). Three-Degree-of-Freedom Control and Its Application to Motion Control Systems. IEEE Industrial Electronics Society (IECON2015) Yokohama, 4265–4270.

Tridianto, E., Ariwibowo, T. H., Almasa, S. K., Elvian, H., & Prasetya, G. (2017). Cascaded PID Temperature Controller for FOPDT Model of Shell-and-Tube Heat Exchanger Based on

Matlab / Simulink. International Electronics Symposium on Emgineering Technology and Applications (IES-ETA), 185–191.

Umar, A., Haruna, Z., Musa, U., Mohammed, S. A. & Muyideen, M. O. (2019) Graphical User

Interface (GUI) for postion and trajectory tracking control of the ball and plate system

using H-infinity controller. Convenant Journal of Informatics and Communication

Technonlogy, 7(1).


Refbacks

  • There are currently no refbacks.