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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
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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