1. -Pressure System- Frequency Response Cory Richardson Dennis To Jamison Linden 6/27/2015, UTC, ENGR-329

2. Contents  Background Description, SSOC, Step Response  Frequency Response Experiments  Modeling Approach  Comparison of Experimental Results with Model Data  Conclusions

3. Background - System Figure 1. Schematic diagram of the Dunlap Plant Spray-Paint Booths

4. Background - Block Diagram Figure 2. Block diagram of paint booth system

5. Background - SSOC Operating Range for Output Operating Range for Input

6. Background – Step Response

7. Background – Step Response Results  Experimental results K = 0.1 – 0.3 (cm-H 2 O/%) t 0 = 0.5 s  = 1.7 s  Model results K = 0.1 – 0.3 (cm-H 2 O/%) t 0 = 0.48 s  = 1.75 s

8. Frequency Response – Description

9. Frequency Response - Example c (1.45) T (25.3) m (15) t (-1.8)

10. Frequency Response – Bode Plots K= 0.1 cm-H 2 O/% 2 nd Order

11. Frequency Response – Bode Plots f u =0.85 Hz

12. Frequency Response – Bode Plots fu=0.85 AR=.055

13. Frequency Response – Bode Plots f u =0.85 Hz

14. Frequency Response – Bode Plots K= 0.21 cm-H 2 O/% 2 nd Order fu=0.85 AR=.015

15. Frequency Response – Bode Plots f u =0.85 Hz

16. Frequency Response – Bode Plots K= 0.35 cm-H 2 O/% 2 nd Orderfu=0.85 AR=.024

22. Modeling Approach  Approximate FOPDT Model Amplitude Ratio Equation: Phase Angle Equation:

23. Modeling Approach – Bode Plots

32. Results Comparison  Experimental Results: K = 0.1 – 0.35(cm-H 2 0/%) t 0 = 0.6 s  = 1.7 s 2 nd Order system Ultimate Frequency = 0.85 Hz Ultimate Controller Gain = 18.2 – 55.6 (%/cm-H 2 O)

33. Results Comparison  Model Results: K = 0.1 – 0.35 (cm-H 2 O/%) t 0 = 0.85 s  = 1.7 s

34. Conclusions - System  2 nd order system  f u = 0.85 Hz  From the model: K = 0.1 – 0.35 (cm-H 2 O/%) t 0 = 0.85 s  = 1.7 s  K cu = 18.2 – 55.6 (%/cm-H 2 O)