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Flow Rate Control System

Flow Rate Control System. “Frequency Response” By: Taylor Murphy March 1, 2006 U.T.C. Engineering 329. Yellow Team. Jimy George Jeff Lawrence Taylor Murphy Jennifer Potter. Outline. System Background Description, SSOC, Step Response Frequency Response Experiment

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Flow Rate Control System

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  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

  10. Step Results; K

  11. Step Results; Tau

  12. Step Results; t0

  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

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

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