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Flow Rate Control System “Frequency Response” By: Taylor Murphy March 1, 2006 U.T.C. Engineering 329
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Yellow Team Jimy George Jeff Lawrence Taylor Murphy Jennifer Potter
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Outline System Background –Description, SSOC, Step Response Frequency Response Experiment Frequency Response Model Results Conclusions
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Flow System Setup
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Block Diagram
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Steady State Operation
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SSOC
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SSOC with Step Ranges
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Experimental and Model Results K (lb/min/%) =0.26 Tau (sec) =0.46 t0 (sec) =0.42
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Step Results; K
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Step Results; Tau
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Step Results; t 0
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Frequency Response Experiment Operate with alternating frequencies Amplitude equal to 5% or 7.5% Base Power equal to center of region. Starting Frequency of 1/(tau*2*pi) Vary frequency up and down to the limits - when output is in phase with input or there is no perceptible oscillation
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Sample Sine Plot
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Example Experimental Bode Plots
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Modeling Approach Output Function Used Excel to Model
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Model Bode Plots 45%-55%
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Model Bode Plots 55%-70%
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Model Bode Plots 70%-85%
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Model Bode Plots 85%-100%
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Comparison of Results: Gain
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Comparison of Results: Time Constant
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Comparison of Results: Dead Time
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Comparison of Results: Ultimate Frequency
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Comparison of Results: Ultimate Controller Gain
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Comparison of Results: Order
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Conclusion FOPDT parameters from the model: K = 0.22 lbs/min/% Tau = 0.3 sec to = 0.37 sec Other values from experiment: Kcu = 10 %/(lbs/min) fu = 0.87 Hz Order = 1
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