Team Green

1. Speed Control System Team Green Steady State and Step Response Performance John Barker John Beverly Keith Skiles UTC ENGR329-001 2-15-06

2. Outline • System Background • Description, SSOC, Step Response • FOPDT Model • Model Theory • Results • Conclusions

3. Aerator Mixer Speed Control System

4. Block Diagram of System

8. Time Response (Gain)

9. Time Response (Dead Time)

10. Time Response (Time Constant)

11. Step Response Values and Errors

12. Laplace Domain FOPDT Model • System Transfer Function • G(s) = Ke /τs+1 • Parameters t0=Dead Time K = System Gain τ = Time Constant -t0s

13. FOPDT Model • Model Equation in Time Domain • C(t) = A*u(t-td-t0)*K*(1-e ) -(t-td-t0)

14. Results

16. Time Response (Gain)

17. Time Response (Dead Time)

18. Time Response (Time Constant)

19. Overall Results Experimental Results: Steady State Gain : K= 17.1RPM/% ± 0.10 Dead Time : t0= 0.06s ± 0.012 Time Constant : τ = 0.19s ± 0.034 Model Results: Steady State Gain : K= 17.4RPM/% Dead Time : t0= 0.1s Time Constant : τ = 0.23s

20. Conclusions • Operating Range 150-1700RPM • K = 17.4 RPM/% • t0= 0.1s • τ= 0.23s

21. Red Team -Pressure-Steady State Operating And Step Response Dennis To Cory Richardson Jamison Linden 10/3/2014, UTC, ENGR-329

22. Contents • Background • Description, SSOC, Step Response • FOPDT Model • Model Theory • Results • Conclusions

23. Background • System • Input • Output • SSOC • Operating Range

24. System Figure 1. Schematic diagram of the Dunlap Plant Spray-Paint Booths

25. Block Diagram Figure 2. Block diagram of paint Booth System

26. SSOC Operating Range for Output Operating Range for Input

27. Operating Range • Input operating range (45%-90%) • Output operating range (0.5-10 cm-H2O)

28. Theory • Transfer Function • Parameters

29. m(s) Input c(s) Output Transfer Function - t s Ke 0 t + s 1 Transfer Function K=Gain=∆c/∆m=(cm-H2O)/% to=Dead Time τ=Time Constant (use 0.632∆c) Uncertainties (max-min)*(t/n)

30. Parameters Middle Lower Upper

31. Results • Experimental (Step-up, Step-down) • Time Response (Gain) • Time Response (Dead Time) • Time Response (Time Constant)

32. Experimental (Step-up)

33. Experimental (Step-down)

34. Time Response (Gain)

35. Time Response (Dead Time)

36. Time Response (Time Constant)

37. FOPDT Model • Model Equation • C(t) = A*u(t-td-t0)*K*(1-e-((t-td-t0)/tau)) • Parameters • td = 15 sec. • A = 15 % • K = .21 cm-H2O /% • t0 = 0.52 sec. • tau = 1.8 sec. • inbl= 60% • outbl=2 cm-H2O

40. Model Time Response (Gain)

41. Model Time Response (Dead Time)

42. Model Time Response (Time Constant)

43. Results • EXPERIMENTAL PARAMETERS INCREASING • STEADY STATE GAIN K 0.1-0.35 cm-H2O/% DEAD TIME to 0.5 s • TIME CONSTANT t 1.7 s • EXPERIMENTAL PARAMETERS DECREASING • STEADY STATE GAIN K 0.1-0.35 cm-H2O /% • DEAD TIME to 0.5 s • TIME CONSTANT t 1.7 s

44. Conclusions • Input operating range • Output operating range • (K) goes up as the input % is increased (0.1-0.35cm-H2O/%) • (to) stays constant (0.5sec) • ( ) stays constant (1.7sec)

45. Flow Rate Control System “Step Response Modeling” February 15, 2006 U.T.C. Engineering 329

46. Yellow Team • Jimy George • Jeff Lawrence • Taylor Murphy • Jennifer Potter

47. Outline • System Background • Description, SSOC, Step Response • FOPDT Theory • Model Theory • Results • Conclusions

48. Flow System Setup

49. Block Diagram

50. Steady State Operation