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Explore the SOPDT system theory, model results, proportional controller, and comparison with FOPDT results. Analyze the setup, Laplace domain, time domain, and observations of a flow system.
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FLOW RATE CONTROL SYSTEM SECOND ORDER PLUS DEAD TIME MODEL April 20, 2006 U.T.C Engineering 329
Yellow Team • Jimy George • Jeff Lawrence • Taylor Murphy • Jennifer Potter
Outline • Flow System Background • SOPDT System Theory • Model Results
Outline • Proportional Controller • Comparison of FOPDT & SOPDT results • Conclusion
R(s) C(s) Laplace Domain
Solving CE for Kc Direct Substitution Set s = iωU Set like terms equal to zero Imaginary part: [0.0079 ωU3-(0.6 +0.048Kcu) ωU]i=0i
Direct Substitution (cont’d) Real part: 0.24Kcu - 0.12 ωU2 + 1 = 0 ωU = 5 => fu = 0.8 Kcu = 8.3 %/(lb/min)
Observations • Phase Angle = -1800 • Amplitude Ratio = 0.12 • Kcu calculated = 8.3
Conclusion • Kc = 8.3 %/(lb/min) • SOPDT more accurate than FOPDT • Always scope for improved results