Thermal management inside a discretely heated rectangular cuboid using P, PI and PID controllers
This study investigates the viability of three different continuous (P, PI, and PID) controllers to meet specific thermal requirements at a desired location in a cooling system with discrete heat sources. The system is a rectangular cuboid with three discrete heat sources placed on the bottom surfac...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X23009073 |
| _version_ | 1797660285424631808 |
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| author | Niloy Deb Sadib Fardin Md Muhtasim Fardin Nudrat Nawal Md Rashed Nizam Sumon Saha |
| author_facet | Niloy Deb Sadib Fardin Md Muhtasim Fardin Nudrat Nawal Md Rashed Nizam Sumon Saha |
| author_sort | Niloy Deb |
| collection | DOAJ |
| description | This study investigates the viability of three different continuous (P, PI, and PID) controllers to meet specific thermal requirements at a desired location in a cooling system with discrete heat sources. The system is a rectangular cuboid with three discrete heat sources placed on the bottom surface at periodic intervals, and the rest of the walls are insulated. A temperature probe is installed in the system's center to monitor the temperature and provide feedback to the flow controllers in a continuous manner. The velocity of air entering from the inlet port varies in response to the controller feedback and discharge through the outlet port at atmospheric condition. The Galerkin finite element technique solves the governing Navier-Stokes and energy equations and the appropriate initial and boundary conditions. The simulations consist of testing the system's response at the probe point using different combinations of proportional (P), integral (I), and derivative (D) controllers with varied gains to analyze and compare the system's steady-state error and transient behavior in terms of overshoot, oscillation, and settling time. The results indicate that the P controller cannot eliminate steady-state error, while the PI controller achieves zero steady-state error and faster settling. However, if appropriately tuned, the PID controller enhances oscillation control and response time. |
| first_indexed | 2024-03-11T18:28:32Z |
| format | Article |
| id | doaj.art-07d42ee96f90499d920daec63dd246b9 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-11T18:28:32Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-07d42ee96f90499d920daec63dd246b92023-10-13T13:54:00ZengElsevierCase Studies in Thermal Engineering2214-157X2023-11-0151103601Thermal management inside a discretely heated rectangular cuboid using P, PI and PID controllersNiloy Deb0Sadib Fardin1Md Muhtasim Fardin2Nudrat Nawal3Md Rashed Nizam4Sumon Saha5Department of Mechanical Engineering, Bangladesh University of Engineering and Technology, Dhaka, 1000, BangladeshDepartment of Mechanical Engineering, Bangladesh University of Engineering and Technology, Dhaka, 1000, BangladeshDepartment of Mechanical Engineering, Bangladesh University of Engineering and Technology, Dhaka, 1000, BangladeshDepartment of Mechanical Engineering, Bangladesh University of Engineering and Technology, Dhaka, 1000, BangladeshDepartment of Mechanical Engineering, Bangladesh University of Engineering and Technology, Dhaka, 1000, BangladeshCorresponding author.; Department of Mechanical Engineering, Bangladesh University of Engineering and Technology, Dhaka, 1000, BangladeshThis study investigates the viability of three different continuous (P, PI, and PID) controllers to meet specific thermal requirements at a desired location in a cooling system with discrete heat sources. The system is a rectangular cuboid with three discrete heat sources placed on the bottom surface at periodic intervals, and the rest of the walls are insulated. A temperature probe is installed in the system's center to monitor the temperature and provide feedback to the flow controllers in a continuous manner. The velocity of air entering from the inlet port varies in response to the controller feedback and discharge through the outlet port at atmospheric condition. The Galerkin finite element technique solves the governing Navier-Stokes and energy equations and the appropriate initial and boundary conditions. The simulations consist of testing the system's response at the probe point using different combinations of proportional (P), integral (I), and derivative (D) controllers with varied gains to analyze and compare the system's steady-state error and transient behavior in terms of overshoot, oscillation, and settling time. The results indicate that the P controller cannot eliminate steady-state error, while the PI controller achieves zero steady-state error and faster settling. However, if appropriately tuned, the PID controller enhances oscillation control and response time.http://www.sciencedirect.com/science/article/pii/S2214157X23009073CuboidSteady-state errorDiscrete heatingPID controllerThermal management system |
| spellingShingle | Niloy Deb Sadib Fardin Md Muhtasim Fardin Nudrat Nawal Md Rashed Nizam Sumon Saha Thermal management inside a discretely heated rectangular cuboid using P, PI and PID controllers Case Studies in Thermal Engineering Cuboid Steady-state error Discrete heating PID controller Thermal management system |
| title | Thermal management inside a discretely heated rectangular cuboid using P, PI and PID controllers |
| title_full | Thermal management inside a discretely heated rectangular cuboid using P, PI and PID controllers |
| title_fullStr | Thermal management inside a discretely heated rectangular cuboid using P, PI and PID controllers |
| title_full_unstemmed | Thermal management inside a discretely heated rectangular cuboid using P, PI and PID controllers |
| title_short | Thermal management inside a discretely heated rectangular cuboid using P, PI and PID controllers |
| title_sort | thermal management inside a discretely heated rectangular cuboid using p pi and pid controllers |
| topic | Cuboid Steady-state error Discrete heating PID controller Thermal management system |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X23009073 |
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