Pressure System Frequency Response

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-Pressure
System-Frequency Response

• Cory Richardson
• Dennis To
• Jamison Linden
• 11/18/2009, UTC, ENGR-329

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Contents

• Background
• Description, SSOC, Step Response
• Frequency Response Experiments
• Modeling Approach
• Comparison of Experimental Results with Model
  Data
• Conclusions

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Background - System
                                                
                                                  
                                                  
                             Figure 1. Schematic
diagram of the Dunlap Plant Spray-Paint Booths
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Background - Block Diagram
                                                
                                                  
                                                 
Figure 2. Block diagram of paint booth system

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Background - SSOC
Operating Range for Output
Operating Range for Input
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Background Step Response
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Background Step Response Results

• Experimental results
• K 0.1 0.3 (cm-H2O/)
• t0 0.5 s
• t 1.7 s
• Model results
• K 0.1 0.3 (cm-H2O/)
• t0 0.48 s
• t 1.75 s

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Frequency Response Description
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Frequency Response - Example
T (25.3)
Dc (1.45)
Dm (15)
t (-1.8)
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Frequency Response Bode Plots
K 0.1 cm-H2O/
2nd Order
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Frequency Response Bode Plots
fu0.85 Hz
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Frequency Response Bode Plots
fu0.85
AR.055
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Frequency Response Bode Plots
fu0.85 Hz
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Frequency Response Bode Plots
K 0.21 cm-H2O/
fu0.85
2nd Order
AR.015
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Frequency Response Bode Plots
fu0.85 Hz
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Frequency Response Bode Plots
K 0.35 cm-H2O/
2nd Order
fu0.85
AR.024
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Modeling Approach

• Approximate FOPDT Model
• Amplitude Ratio Equation
• Phase Angle Equation

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Modeling Approach Bode Plots
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Modeling Approach Bode Plots
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Modeling Approach Bode Plots
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Modeling Approach Bode Plots
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Modeling Approach Bode Plots
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Modeling Approach Bode Plots
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Results Comparison

• Experimental Results
• K 0.1 0.35(cm-H20/)
• t0 0.6 s
• t 1.7 s
• 2nd Order system
• Ultimate Frequency 0.85 Hz
• Ultimate Controller
• Gain 18.2 55.6 (/cm-H2O)

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Results Comparison

• Model Results
• K 0.1 0.35 (cm-H2O/)
• t0 0.85 s
• t 1.7 s

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Conclusions - System

• 2nd order system
• fu 0.85 Hz
• From the model
• K 0.1 0.35 (cm-H2O/)
• t0 0.85 s
• t 1.7 s
• Kcu 18.2 55.6 (/cm-H2O)