Team Green

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Team Green
Speed Control System
Steady State and Step Response Performance

• John Barker
• John Beverly
• Keith Skiles
• UTC ENGR329-001
• 2-15-06

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Outline

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

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Aerator Mixer Speed Control System
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Block Diagram of System
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Time Response (Gain)
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Time Response (Dead Time)
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Time Response (Time Constant)
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Step Response Values and Errors
K (RPM/) t0 (s) t (s)
Average 17.4 0.11 0.25
Std. Dev 0.05 0.006 0.017
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Laplace Domain FOPDT Model

• System Transfer Function
• G(s) Ke /ts1
• Parameters
• t0Dead Time
• K System Gain
• t Time Constant

-t0s
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FOPDT Model

• Model Equation in Time Domain
• C(t) Au(t-td-t0)K(1-e )

-(t-td-t0)
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Results
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Time Response (Gain)
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Time Response (Dead Time)
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Time Response (Time Constant)
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Overall Results

• Experimental Results
• Steady State Gain K 17.1RPM/ 0.10
• Dead Time t0 0.06s 0.012
• Time Constant t 0.19s 0.034
• Model Results
• Steady State Gain K 17.4RPM/
• Dead Time t0 0.1s
• Time Constant t 0.23s

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Conclusions

• Operating Range 150-1700RPM
• K 17.4 RPM/
• t0 0.1s
• t 0.23s

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Red Team -Pressure-Steady State Operating And
Step Response

• Dennis To
• Cory Richardson
• Jamison Linden
• 10/4/2014, UTC, ENGR-329

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Contents

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

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Background

• System
• Input
• Output
• SSOC
• Operating Range

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System
                                                
                                                  
                                                  
                             Figure 1. Schematic
diagram of the Dunlap Plant Spray-Paint Booths
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Block Diagram
                                                
                                                  
                                                 
Figure 2. Block diagram of paint Booth System
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SSOC
Operating Range for Output
Operating Range for Input
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Operating Range

• Input operating range (45-90)
• Output operating range (0.5-10 cm-H2O)

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Theory

• Transfer Function
• Parameters

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Transfer Function
KGain?c/?m(cm-H2O)/ toDead Time tTime
Constant (use 0.632?c) Uncertainties
(max-min)(t/n)
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Parameters
Middle
Lower
Upper
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Results

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

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Experimental (Step-up)
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Experimental (Step-down)
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Time Response (Gain)
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Time Response (Dead Time)
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Time Response (Time Constant)
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FOPDT Model

• Model Equation
• C(t) Au(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
• outbl2 cm-H2O

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Model Time Response (Gain)
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Model Time Response (Dead Time)
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Model Time Response (Time Constant)
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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

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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)

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Flow Rate Control System

• Step Response Modeling
• February 15, 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
• FOPDT Theory
• Model Theory
• 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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Step Response 70-85
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FOPDT Model

• Transfer Function

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FOPDT Model

• Model Equation
• Excel Parameters
• td Time step occurs
• A Height of Step
• inbl Initial Input
• outbl Initial Steady Value

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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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Experimental and Model Resultscont
K (lb/min/) 0.27
Tau (sec) 0.47
t0 (sec) 0.47
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Results
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Results cont
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Results cont
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OVERALL RESULTS
OVERALL RESULTS
EXPERIMENTAL PARAMETERS DECREASING STEADY STATE
GAIN K 2.5 V/ DEAD TIME to 0 s TIME
CONSTANT t 0.2 s
EXPERIMENTAL PARAMETERS STEADY STATE GAIN, K
0.25 lb/min/ DEAD TIME, to 0.39 s TIME
CONSTANT, t 0.51 s
MODEL PARAMETERS DECREASING STEADY STATE
GAIN K 2.5 V/ DEAD TIME to 0 s TIME
CONSTANT t 0.6 s / 1.2 s / 2.4 s
MODEL PARAMETERS STEADY STATE GAIN, K 0.25
lb/min/ DEAD TIME, to 0.45 s TIME
CONSTANT, t 0.48 s
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b
OVERALL RESULTS
Experimental Error Standard Deviations STEADY
STATE GAIN, K 0.01(lb/min/) DEAD
TIME, to 0.08 (sec) TIME
CONSTANT, t 0.03 (sec)
MODEL Error Standard Deviation STEADY STATE
GAIN, K 0.01 (lb/min/) DEAD
TIME, to 0.02 (sec) TIME
CONSTANT, t 0.04 (sec)