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.