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Advanced Flow Rate Control System Analysis through Frequency Response Techniques

This document presents a detailed analysis of a flow rate control system, focusing on frequency response characteristics. We outline the system background and experimental setup, followed by results from frequency response experiments using alternating frequencies. Key findings include amplitude variations, gain comparisons, time constant evaluations, and insights into system behavior under different conditions. The modeling approach utilizing Excel for Bode plots is also discussed, providing a comprehensive understanding of flow dynamics and control strategy effectiveness.

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Advanced Flow Rate Control System Analysis through Frequency Response Techniques

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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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