A classic example of a first order system is a tank that contains liquid (see example 1.1 in chapter 1 of Introduction to Systems Modelling notes available on StudyNet.) Before we can use Simulink, we need to prepare a block diagram (or analogue diagram) of the system we wish to simulate. For this example, we shall simulate a fuel tank system. Cross-sectional area, A hmax h qi Restriction, R The physical dimensions of the tank (i.e. the height, hmax 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). on the As you complete each of the following tasks, type your answers in the white cells Results Sheet. When you have completed all the tasks, or as much as you feel you can do, submit your completed Excel sheet. Develop a Simulink Model The differential equation that models the height of liquid in a tank of uniform cross-sectional area is: 1 dh qi = 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. Q4 - Manual Control a) 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.) Determine the R value required to give the desired 95% settling time below. b) Desired t95% = 396.5 sec R = s/m² Using the new R value in Q4a), determine the new Time Constant. T= sec c) Using the new R value in Q4a), determine the new Gain of the system K =
A classic example of a first order system is a tank that contains liquid (see example 1.1 in chapter 1 of Introduction to Systems Modelling notes available on StudyNet.) Before we can use Simulink, we need to prepare a block diagram (or analogue diagram) of the system we wish to simulate. For this example, we shall simulate a fuel tank system. Cross-sectional area, A hmax h qi Restriction, R The physical dimensions of the tank (i.e. the height, hmax 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). on the As you complete each of the following tasks, type your answers in the white cells Results Sheet. When you have completed all the tasks, or as much as you feel you can do, submit your completed Excel sheet. Develop a Simulink Model The differential equation that models the height of liquid in a tank of uniform cross-sectional area is: 1 dh qi = 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. Q4 - Manual Control a) 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.) Determine the R value required to give the desired 95% settling time below. b) Desired t95% = 396.5 sec R = s/m² Using the new R value in Q4a), determine the new Time Constant. T= sec c) Using the new R value in Q4a), determine the new Gain of the system K =
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:A classic example of a first order system is a tank that contains liquid (see example 1.1 in chapter 1 of
Introduction to Systems Modelling notes available on StudyNet.)
Before we can use Simulink, we need to prepare a block diagram (or analogue diagram) of the system we wish
to simulate. For this example, we shall simulate a fuel tank system.
Cross-sectional area, A
hmax
h
qi
Restriction, R
The physical dimensions of the tank (i.e. the height, hmax 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).
on the
As you complete each of the following tasks, type your answers in the white cells
Results Sheet. When you have completed all the tasks, or as much as you feel you can do, submit your completed
Excel sheet.
Develop a Simulink Model
The differential equation that models the height of liquid in a tank of uniform cross-sectional area is:
1
dh
qi
=
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.
Transcribed Image Text:Q4 - Manual Control
a)
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.)
Determine the R value required to give the desired 95% settling time below.
b)
Desired t95% =
396.5
sec
R =
s/m²
Using the new R value in Q4a), determine the new Time Constant.
T=
sec
c)
Using the new R value in Q4a), determine the new Gain of the system
K =
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