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Green Team
Dustin FraleyDeAndre Strong
Stephanie Wilson
September 14, 2005UTC
ENGR 329
Speed System
Presentation will include…
Background on the speed system Theory of experimental analysis Steady-state and step tests Results of tests Conclusions on the usefulness of our
findings
Background: what is the speed system?
In other words…
SRC
1
ST
1
Motor /
Generator
SCZ
1
Theory
Speed Constant
0
10
20
30
40
50
60
70
80
90
100
0 2 4 6 8 10 12
Time(sec)
Input (%)
0
120
240
360
480
600
720
840
960
1080
1200
Output(RPM)
Input Value(%) Output(RPM)
REGION FOR AVERAGE AND STANDARD DEVIATIONAVERAGE=1030.28 RPM S.D.=2.40 RPM
DLF9-1-05
Transients start at t=0 s and end at t=1.75 s.
Steady State Operating Curve For Speed
0
200
400
600
800
1000
1200
1400
1600
1800
0 10 20 30 40 50 60 70 80 90 100
Input(%)
Output(RPM)
Results Cont.
Steady-state Function
C = 17.28 m – 9.66
Input Range
20% - 90%
Time Response of the SystemBase 30%, Step 20%
25
30
35
40
45
50
0 2 4 6 8 10 12 14 16 18 20
Time (sec)
Input (%)
400
500
600
700
800
900
Output (RPM)
Input Value(%) Output(RPM)
Steady State
Steady State
Time
Response
Base 50%, Step 20%
45
50
55
60
65
70
75
3 5 7 9 11 13 15 17 19
Time (sec)
Input (%)
800
875
950
1025
1100
1175
1250
Output (RPM)
Input Value(%) Output(RPM)
τ=0.4st0=0.2s
0.632∆Cs=224RPM
∆Cs=355RPM∆m=20%
K = ∆Cs / ∆m =17.7 (RPM / %)
Using the Fit 2 Method
Base 50%, Step 20%
45
50
55
60
65
70
75
3 5 7 9 11 13 15 17 19
Time (sec)
Input (%)
800
875
950
1025
1100
1175
1250
Output (RPM)
Input Value(%) Output(RPM)
τ=0.4st0=0.2s
0.632∆Cs=224RPM
∆Cs=355RPM∆m=20%
K = ∆Cs / ∆m =17.7 (RPM / %)
Base 50%, Step -20%
20
25
30
35
40
45
50
55
Input (%)
500
557
614
671
729
786
843
900
5 7 9 11 13 15 17 19
Time (sec)
Output (RPM)
Input (%) Output (RPM)
∆Cs=345 ∆m=20%
k=∆Cs/∆m=17.2 RPM/%
t0=0.5
0.632∆Cs=218 RPM
τ=0.4 s
Step Response - K (gain)
14.500
15.000
15.500
16.000
16.500
17.000
17.500
18.000
18.500
1
Parameters (RPM/%)70%-90% 50%-70% 30%-50%
Lower - UpMiddle - UpUpper - Up
Step Response - K (gain)
16.400
16.600
16.800
17.000
17.200
17.400
17.600
17.800
18.000
Average
Parameter (sec)
90%-70%
70%-50%
50%-30%
Middle - DownUpper - Down Lower - Down
Step Response - T0
-0.300
-0.200
-0.100
0.000
0.100
0.200
0.300
0.400
0.500
0.600
1
Parameters (sec) 70%-90% 50%-70% 30%-50%
Lower - UpMiddle - UpUpper - Up
Step Response - t0
0.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
Average
Parameter (sec)
90%-70%
70%-50%
50%-30%
Lower - DownMiddle - DownUpper - Down
Step Response - Tau
0.000
0.050
0.100
0.150
0.200
0.250
0.300
0.350
0.400
1
Parameters (sec) 70%-90% 50%-70% 30%-50%
Lower - UpMiddle - UpUpper - Up
Step Response - Tau
0.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
Average
Parameter (sec)
90%-70%
70%-50%
50%-30%
Lower - DownMiddle - DownUpper - Down
Conclusions
The SSOC accurately predicts the output of the motor (input 20%-90%)
Tau, K, and t0 are approximately the same for input upsteps and downsteps.
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