-Pressure System- Frequency Response Cory Richardson Dennis To Jamison Linden 6/27/2015, UTC, ENGR-329
Contents Background Description, SSOC, Step Response Frequency Response Experiments Modeling Approach Comparison of Experimental Results with Model Data Conclusions
Background - System Figure 1. Schematic diagram of the Dunlap Plant Spray-Paint Booths
Background - Block Diagram Figure 2. Block diagram of paint booth system
Background - SSOC Operating Range for Output Operating Range for Input
Background – Step Response
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
Frequency Response – Description
Frequency Response - Example c (1.45) T (25.3) m (15) t (-1.8)
Frequency Response – Bode Plots K= 0.1 cm-H 2 O/% 2 nd Order
Frequency Response – Bode Plots f u =0.85 Hz
Frequency Response – Bode Plots fu=0.85 AR=.055
Frequency Response – Bode Plots f u =0.85 Hz
Frequency Response – Bode Plots K= 0.21 cm-H 2 O/% 2 nd Order fu=0.85 AR=.015
Frequency Response – Bode Plots f u =0.85 Hz
Frequency Response – Bode Plots K= 0.35 cm-H 2 O/% 2 nd Orderfu=0.85 AR=.024
Modeling Approach Approximate FOPDT Model Amplitude Ratio Equation: Phase Angle Equation:
Modeling Approach – Bode Plots
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)
Results Comparison Model Results: K = 0.1 – 0.35 (cm-H 2 O/%) t 0 = 0.85 s = 1.7 s
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)