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FLOW RATE CONTROL SYSTEM

FLOW RATE CONTROL SYSTEM. SECOND ORDER PLUS DEAD TIME MODEL April 20, 2006 U.T.C Engineering 329. Yellow Team. Jimy George Jeff Lawrence Taylor Murphy Jennifer Potter. Outline. Flow System Background SOPDT System Theory Model Results. Outline. Proportional Controller

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FLOW RATE CONTROL SYSTEM

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  1. FLOW RATE CONTROL SYSTEM SECOND ORDER PLUS DEAD TIME MODEL April 20, 2006 U.T.C Engineering 329

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

  3. Outline • Flow System Background • SOPDT System Theory • Model Results

  4. Outline • Proportional Controller • Comparison of FOPDT & SOPDT results • Conclusion

  5. Flow System Setup

  6. Block Diagram

  7. R(s) C(s) Laplace Domain

  8. Time Domain

  9. Modeling Observations

  10. Parameters involved

  11. Modeling Observations Recap

  12. Negative Feedback Loop

  13. Closed Loop Transfer Function

  14. Characteristic Equation

  15. Characteristic Equation For

  16. Solving CE for Kc Direct Substitution Set s = iωU Set like terms equal to zero Imaginary part: [0.0079 ωU3-(0.6 +0.048Kcu) ωU]i=0i

  17. Direct Substitution (cont’d) Real part: 0.24Kcu - 0.12 ωU2 + 1 = 0 ωU = 5 => fu = 0.8 Kcu = 8.3 %/(lb/min)

  18. Corresponding Frequency Experiment

  19. Observations • Phase Angle = -1800 • Amplitude Ratio = 0.12 • Kcu calculated = 8.3

  20. Comparison of fu

  21. Comparison of Kc

  22. Conclusion • Kc = 8.3 %/(lb/min) • SOPDT more accurate than FOPDT • Always scope for improved results

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