Control of the temperature in the hot liquid tank by using a digital PID controller considering the random errors of the thermometer indications
Authors:
- Dawid Taler,
- Tomasz Sobota,
- Magdalena Jaremkiewicz,
- Jan Taler
Abstract
A digital PID (Proportional-Integral-Derivative) controller to maintain a constant hot water temperature in the tank was proposed. The thermometer's indications are subject to random errors. The water temperature is determined by solving the inverse problem for a thermometer in the form of a solid cylinder inside which the temperature is measured. The water temperature is determined using a first or second-order thermometer model. The use of differential quotients to calculate the first or second derivative after time causes the controller to be unstable. To increase the stability of the PID system operation, digital filters were used to eliminate the influence of random disturbances of the temperature indicated by the thermometer. This ensures stable, much faster, and more accurate operation of the controller. The operation of the PID controller with the proposed technique for determining the medium temperature was illustrated by using the example of an electric storage heater in which the water temperature should be equal to the pre-set temperature. The novelty of the presented PID control system is the determination of the fluid temperature based on the solution of the inverse problem of heat conduction formulated for a thermometer. As a result, the speed and accuracy of the PID controller are significantly improved.
- Record ID
- CUTc4e0ce9cad14431d8ae9699149800870
- Publication categories
- ;
- Author
- Journal series
- Energy, ISSN 0360-5442, e-ISSN 1873-6785
- Issue year
- 2022
- Vol
- 239, Pt. E
- Pages
- [1-14]
- Article number
- 122771
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 13-14; Bibliografia (liczba pozycji) - 40; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 239, Pt. E
- Keywords in English
- fluid temperature measurement, a mathematical model of the thermometer, digital smoothing of thermometer readings, fluid temperature control, domestic water heater
- ASJC Classification
- ;
- DOI
- DOI:10.1016/j.energy.2021.122771 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/abs/pii/S0360544221030206?via%3Dihub Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 200
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTc4e0ce9cad14431d8ae9699149800870/
- URN
urn:pkr-prod:CUTc4e0ce9cad14431d8ae9699149800870
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.