A = 1.92m^2
hmax = 0.548m
Assessed Matlab Practical 1 - Modelling a Fuel Tank Aim: To use Simulink to analyse the performance of a first order system and control the performance by adjustment of a controlling variable. A classic example of a first order system is a tank that contains liquid (sce example 1.1 in chapter 1 of Introduction to Systems Modelling notes available on StudyNet.) Cross-sectional area, Restriction, R heas h 40 The physical dimensions of the tank (i.e. the height, himax and the cross-sectional area, A.) are generated from your identity number on your ID card. (Type in your SRN number into "AMP_1_results_sheet.xlsx" and the data will appear). As you complete each of the following tasks type your answers in the white cells on the Results Sheet. When you have completed all the tasks, or as much as you feel you can do, submit the Results Sheet using the assignments facility on Studynet Develop a Simulink Model The differential equation that models the height of liquid in a tank of uniform cross sectional area is: 9. dh h+ A R dt Using the procedure given on the Introductory Simulink Instruction sheet (available on StudyNet), draw an analogue diagram and hence develop a Simulink model assuming the flow rate in (qi) is the input and the height of liquid in the tank, h, is the output. 4 Manual Control (30%) Whilst you can not physically change the dimensions of the tank you can change the speed of response by turning the tap to adjust the flow rate out. i.e. adjust the R value. If the desired 95% settling time is to be the value given on the result sheet, use your simulation to determine the R value required to achieve this. b) Using the new R value in Q4a), determine the new Time Constant. c) Using the new R value in Q4a), determine the new Gain of the system 4. Manual Control (30%) a) Whilst you can not physically change the dimensions of the tank you can change the speed of response by tuming the top to adjust the flow rate out (o adjust the value) Determine the value required to give the desired 5% setting time below Desired 396 sec R- b) Using the new R value in Ola) determine the new Time Constant TE C c) Using the new R value in 04a), determine the new Gain of the system K- 1 Assessed Matlab Practical 1 - Modelling a Fuel Tank Aim: To use Simulink to analyse the performance of a first order system and control the performance by adjustment of a controlling variable. A classic example of a first order system is a tank that contains liquid (sce example 1.1 in chapter 1 of Introduction to Systems Modelling notes available on StudyNet.) Cross-sectional area, Restriction, R heas h 40 The physical dimensions of the tank (i.e. the height, himax and the cross-sectional area, A.) are generated from your identity number on your ID card. (Type in your SRN number into "AMP_1_results_sheet.xlsx" and the data will appear). As you complete each of the following tasks type your answers in the white cells on the Results Sheet. When you have completed all the tasks, or as much as you feel you can do, submit the Results Sheet using the assignments facility on Studynet Develop a Simulink Model The differential equation that models the height of liquid in a tank of uniform cross sectional area is: 9. dh h+ A R dt Using the procedure given on the Introductory Simulink Instruction sheet (available on StudyNet), draw an analogue diagram and hence develop a Simulink model assuming the flow rate in (qi) is the input and the height of liquid in the tank, h, is the output. 4 Manual Control (30%) Whilst you can not physically change the dimensions of the tank you can change the speed of response by turning the tap to adjust the flow rate out. i.e. adjust the R value. If the desired 95% settling time is to be the value given on the result sheet, use your simulation to determine the R value required to achieve this. b) Using the new R value in Q4a), determine the new Time Constant. c) Using the new R value in Q4a), determine the new Gain of the system 4. Manual Control (30%) a) Whilst you can not physically change the dimensions of the tank you can change the speed of response by tuming the top to adjust the flow rate out (o adjust the value) Determine the value required to give the desired 5% setting time below Desired 396 sec R- b) Using the new R value in Ola) determine the new Time Constant TE C c) Using the new R value in 04a), determine the new Gain of the system K- 1
