1. Jamie West Jay Baker Joel Wood 10/10/11 UTC ENGR 3280L
Yellow Team Spray-Booth Pressure Station Steady, Step Behavior and Step Modeling
Jamie West
Jay Baker
Joel Wood
10/10/11
UTC ENGR 3280L

2. Overview Schematic of the system
Results of Steady State Operating Curve
Results of Step Function
FOPDT Theory
Model Theory
FOPDT Results
Frequency Response
Frequency Response Modeling
Conclusions

3. Pressure Schematic

4. Input M(t) - Specified by user Output - Air pressure resulting from motors response.

5. Experiment Data at a Specified Input

6. Graphical Results

7. Step Up Function (Range 15-30 cm-H2O)

8. Step Down Function (Range 30-15 cm-H2O)

12. FOPDT Model Equation C(t)= A*u(t-td-t0)*K*(1-e-(t-td-to/tau))
For the given output range of cm-H2O, the following parameters were used:
Td=15 sec.
A=20 %
K=0.75 cm-H2O/%
t0=0.4 sec.
Tau=1.5 sec.
Inbl=45% Power
Outbl=15 cm-H2O
FOPDT

13. First Order Step Up Response with Time Delay
K=0.76 +/-.02 cm-H2O/%Power
Tau=1.5 +/-0.3 sec.
To= 0.1 sec.
First Order Step Up Response with Time Delay

14. First Order Step Down Response with Time Delay
Experimental and Model inputs
To=0.1 sec.
K=0.74 +/-0.15 cm-H2O/%Power
Tau= 2.1+/-0.2 sec.
First Order Step Down Response with Time Delay

18. First Order Step Up Response Results
Experimental Increasing Step Function Data
Steady State Gain K= .76 +/- .02 cm H20 / % Power
Dead Time to = 0.1 sec.
Time Constant Tau = 1.5 +/- .3 sec.
Model Increasing Step Function Data
Steady State Gain K = .75 cm H20 / % Power
Dead Time to = 0.4 sec.
Time Constant Tau = 1.5 sec.
First Order Step Up Response Results

19. First Order Step Down Response Results
Experimental Decreasing Step Function Data
Steady State Gain K= .74 +/ cm H20 / % Power
Dead Time to = 0.1 sec.
Time Constant Tau = 2.1 +/- .2 sec.
Model Decreasing Step Function Data
Steady State Gain K = .75 cm H20 / % Power
Dead Time to = 0.4 sec.
Time Constant Tau = 1.5 sec.
First Order Step Down Response Results

20. Sine Wave at .2 Frequency

21. .2 Frequency

22. Bode Plot for range 2

23. Phase angle vs. Frequency

24. What we find with Bode Range 1 Range 2 Range 3 FU 0.46 cycles/seck
1 cm-H20/%
order
0.82
0.85
0.8
1/kcu
0.34 cm-H20/%
0.34 cm-H20/%
0.35 cm-H20/%

25. Modeling – Frequency vs. AR

26. Modeling – Frequency vs. PA

27. Understanding the Steady State Operating Range of the system allows the user to predict Output pressures
Operating range of the motor was 5-45 cm-H2O
FOPDT transfer functions are important to approximate the response of dynamic processes
FOPDT Model Graph and Experimental Graph are consistent
Pressure System has a quick response time of To=0.1sec.
Differential of Tau: Step Up 1.5+/-.3sec. Step Down 2.1+/-.2 sec.
Conclusion Part 1

28. Conclusion Part 2 Sine Wave Experiment Bode Graph –AR vs. Frequency
Bode Graph – PA vs. Frequency
Yellow team 1/kcu – k – order – FU calcs
Frequency Response Modeling
Conclusion Part 2