Flow Control System

Steady State Operation & Step

Response

February 1st, 2006U.T.C.

ENGR 329

Team Yellow

• Jimy George• Jeff

Lawrence• Taylor

Murphy• Jennifer

Potter

Outline

Flow System Setup SSOC Background Theory

Outline

Step Response Curve Results Summary

Flow System Setup

Schematic Diagram: Flow System

Flow System

Block diagram of Filter Wash System

SSOC

90% Input

0

5

10

15

20

25

0 5 10 15 20 25 30 35 40

Time (sec)

Flowlb/min

Avg. SS Flow = 21.19 lb/minSD = 0.29 lb/min

Steady State Region

Sample

Observation

TEAM STEADY STATE OPERATING CURVE

0

5

10

15

20

25

30

0 10 20 30 40 50 60 70 80 90 100

m, Input Pump Speed (%)

c, Output Flow Rate (lb/min)

Operating Range for Input

Operating Range for Output

Theory

Transfer Function:

1

0

s

Ke st

Theory

Parameters: K – gain t0 – dead time – 1st order time

constant

Step Up Response for Flow System (40-55% )

40

42

44

46

48

50

52

54

19 19.5 20 20.5 21 21.5 22

Time (sec)

Input (% )

8

9

10

11

12

13

14

Output ( lb/ min)

Dc =3.7 lb/ min Dm=15%

to=0.45s

t=0.5 (sec)

K=3.7(lb/min)/15% K=0.25 (lb/min)/%

t0=0.45sectau=0.50sec

63.2% Dc=2.34lb/ min

ResultsTEAM STEADY STATE OPERATING CURVE

0

5

10

15

20

25

30

0 10 20 30 40 50 60 70 80 90 100

m, Input Pump Speed (%)

c, Output Flow Rate (lb/min)

Lower(1&2)

Lower-M id(3&4)

M id-Upper(5&6)

Upper(7&8)

ResultsStep response for Gain

0.00

0.05

0.10

0.15

0.20

0.25

0.30

1 2 3 4 5 6 7 8

Operating Range

Gain Klb/min/%

ResultsStep response for t0

0.00

0.05

0.10

0.15

0.20

0.25

0.30

0.35

0.40

0.45

0.50

1 2 3 4 5 6 7 8

Operating Range

dead time, t0(sec)

Results

Step response for Tau

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

1 2 3 4 5 6 7 8

Operating Range

1st order Time constant

tau(sec)

Results

 K

(lb/min/%)t0

(sec)Tau (sec)

Average 0.25 0.39 0.51

S.D. 0.01 0.03 0.08

Summary

40%-100% Operating Range

K = 0.25 lb/min/% t0 = 0.39s Tau = 0.51s

THE END