You have been engaged as a control engineering consultants to design system for a pumped storage flow control system. You will be expected to: work alone and will submit a formal report including the MATLAB code or SIMULINK.
The assignment submission should include: the report, a MATLAB script file (.m file) containing your calculation data (e.g. calculated gain values) and a SIMULINK file (.slx file) with your overall system (including controller implementation).
All calculations must be presented within the report. The report should include an introduction, results for each task, a discussion of findings, concluding statements and references. For each task, a proper description of the methodology is expected. For example, during block simplification, it is important to outline the process undertaken.
Report should be submitted for Similarity Check before submission to Google Classroom.
Page Limit 15 A4 Pages (single sided), with a minimum of 11 point font size. Appendices are not allowed.
Submission deadline: 11 September 2020
Coursework marks distribution is presented below. Refer to Marking Scheme (last page) for the overall mark scheme which will be used to grade discussion, introduction and conclusions components of the report, report presentation and referencing, and programs. Additional marks breakdown for calculations is provided in Section 2.
Report Marks Allocated
Derivation, analysis and calculations 90%
Report presentation, discussion and references 10%
Pumped Storage Flow Control System:
In this system, water is drawn off to supply a turbine to produce electrical power. The amount of water flow (Q_{o}), depends upon the fluctuating electrical power requirements of the turbine and generator. The water is supplied to the storage tanks from a secondary water supply. The two storage tanks are connected together through a shut-off valve, which may be modelled as a linear resistance R1. The resistance of the turbine supply pipe may be modelled as a linear resistance R2.
Figure 1
Given the following data to the system:
The cross sectional area of tank 1and tank 2 is 1 (m^{2}). The linear resistance have the values R_{1 }= 0.5 s/m^{2} and R_{2 }= 0.5 s/m^{2 }
Qo , Q_{i },Q = Volume flow rate (m^{3}/sec)
A_{1, }A_{2 }= Cross sectional areas of the storage tank (m^{2})
R_{1, }R_{2 } = Proportionality constants of flow resistance (sec/m^{2})
H_{1, }H_{2 }= The height of the water level (m)
Q = (1/R)Δh ΔQ =A(Δh)
Show that the two tank system is described by the following set of differential equations.
Problem 3 (15%)
Q_{i} (s)Q_{o} (s)
Figure 2 Open loop transfer function
Proportional control
Figure 3 shows proportional system with a unity feedback control loop. The demand flow (qd) would be set by a potentiometer having a unity gain. A variable gain K allows some adjustment to the system performance.
[3 marks]
Figure 3. [4 marks]
Figure 3
Pole placement design
s = -5- 2.23i. [10 marks]
Discrete time system
q_{i}(k) q_{o}(k)
T =0.1s
Mark sheet
Program/ Module: UFMFV7-15-2 (Control)
Assignment: Course Work
Marking Guide |
Weightage |
1^{st} Marker ( ) |
2^{nd} Marker ( ) |
1. System modelling |
10 |
||
2. a) Open-loop transfer function |
5 |
||
b) Plot the step input responses for h1, and h2 |
5 |
||
c) Plot the responses for h1, and h2 with initial conditions |
5 |
||
3. State space and closed –loop transfer function representation. |
15 |
||
4. Stability analysis with Root locus analysis |
15 |
||
5. Pole placement design |
|||
a. Verify systems controllable and observable matrices |
5 |
||
b. Determine controller gain |
10 |
||
c. Simulated compensated system |
5 |
||
6. Discrete time model transfer function |
5 |
||
State observer design |
10 |
||
7. Report presentation, discussion conclusion. (with references) |
10 |
||
Total |
100 |
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