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# Temperature Control of a Water Tank 1.0

Date Added: March 22, 2013  |  Visits: 360

We would like to rise water temperature with a heater. Oulet temperature must be equal to the set point temperature (80dlT-C). Proportional (P), Proportional-Integral (PI) and Proportional-Integral-Derivative (PID) control are used and the respective results are compared. Inlet water temperature is equal to 20dlT-C. Water flow is equal to 10 m3/hr. Tank volume is equal to 100 m3. Water density and heat capacity are 1 Kg/m3 and 4.19 KJ/(Kg dlT-C). The heater and the temperature measurement device have a first order delay with a time constant equal to respectively TauQ and TauSens. Initial heat input and tank temperature are equal to 2500 KJ/hr and 20dlT-C. This problem is solved using Berkeley-Madonna in Chemical Engineering Dynamics by J. Ingham et al. (second edition, Wiley-VCH, 2000). The solution using MatLab is present in this page. Sensor temperature lags slightly behind tank temperature. P control gives a small characteristic offset, PI control shows oscillations and PID control gives best control with no offset and quickly damped oscillations.A similar program using Mathematica 6.0 is available at the following link:http://demonstrations.wolfram.com/Proporti...eratureControl/Please also visit an earlier version using Mathematica 5.0 available at the Wolfram Library Archive:http://library.wolfram.com/infocenter/MathSource/5141/

 Requirements: No special requirements Platforms: Matlab Keyword: Characteristic,  Dynamics,  Earlier,  Edition,  Engineering,  Ingham,  Matlab,  Offset,  Oscillations,  Present,  Sensor,  Shows,  Slightly,  Small,  Solution,  Visit,  Wileyvch Users rating: 0/10