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Yellow Team Spray-Booth Pressure Station Steady, Step Behavior and Step Modeling

Yellow Team Spray-Booth Pressure Station Steady, Step Behavior and Step Modeling. Jamie West Jay Baker Joel Wood 10/10/11 UTC ENGR 3280L. Schematic of the system Results of Steady State Operating Curve Results of Step Function FOPDT Theory Model Theory FOPDT Results Frequency Response

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Yellow Team Spray-Booth Pressure Station Steady, Step Behavior and Step Modeling

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

  2. 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 Overview

  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)

  9. Model Equation C(t)= A*u(t-td-t0)*K*(1-e-(t-td-to/tau)) For the given output range of 15-30 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

  10. 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

  11. 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

  12. 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

  13. Experimental Decreasing Step Function Data Steady State Gain K= .74 +/- .015 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

  14. Sine Wave at .2 Frequency

  15. Lissajous @ .2 Frequency

  16. Bode Plot for range 2

  17. Phase angle vs. Frequency

  18. What we find with Bode

  19. Modeling – Frequency vs. AR

  20. Modeling – Frequency vs. PA

  21. 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

  22. 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

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