1. Flow Rate Control System “Frequency Response” By: Taylor Murphy March 1, 2006 U.T.C. Engineering 329

2. Yellow Team Jimy George Jeff Lawrence Taylor Murphy Jennifer Potter

3. Outline System Background –Description, SSOC, Step Response Frequency Response Experiment Frequency Response Model Results Conclusions

4. Flow System Setup

5. Block Diagram

6. Steady State Operation

7. SSOC

8. SSOC with Step Ranges

9. Experimental and Model Results K (lb/min/%) =0.26 Tau (sec) =0.46 t0 (sec) =0.42

10. Step Results; K

11. Step Results; Tau

12. Step Results; t 0

13. Frequency Response Experiment Operate with alternating frequencies Amplitude equal to 5% or 7.5% Base Power equal to center of region. Starting Frequency of 1/(tau*2*pi) Vary frequency up and down to the limits - when output is in phase with input or there is no perceptible oscillation

14. Sample Sine Plot

16. Example Experimental Bode Plots

17. Modeling Approach Output Function Used Excel to Model

18. Model Bode Plots 45%-55%

19. Model Bode Plots 55%-70%

20. Model Bode Plots 70%-85%

21. Model Bode Plots 85%-100%

22. Comparison of Results: Gain

23. Comparison of Results: Time Constant

24. Comparison of Results: Dead Time

25. Comparison of Results: Ultimate Frequency

26. Comparison of Results: Ultimate Controller Gain

27. Comparison of Results: Order

28. Conclusion FOPDT parameters from the model: K = 0.22 lbs/min/% Tau = 0.3 sec to = 0.37 sec Other values from experiment: Kcu = 10 %/(lbs/min) fu = 0.87 Hz Order = 1