Red Team

Amanda Newman Ankit Patel Bryan Cuervo

UTC ENGR 329Sept. 14, 2005

Outline

Process Control Theory Background Steady State/Step Response

Results Conclusions

Systems Identification

M(t) vs. C(t)

The SSOC Operation range

The FOPDT Steady-state gain, response time, dead time

Background – System Parameters

Input M(t) % power to blower motor (%)

Output C(t) Pressure (cm-H2O)

Block Diagram – Pressure System

Pressure System Schematic

TAP TUBING

OUTLETBLOWERMOTOR

VARIABLE SPEEDDRIVE

CIRCUIT CONNECTOR

PRESSURERECORDING

CONTROLLER

DAMPERS

TRANS-DUCER

SSOC Calculations Steady-state response curves Trials at 10% input intervals Sample range taken from steady-

state region (12-15 seconds)

Results – Pressure SystemSteady-State Operation at 90% Input

0

1

2

3

4

5

6

7

8

9

10

0 2 4 6 8 10 12 14 16

Time (s)

Pre

ssu

re (

cm-H

2O)

BJC9-11-05

Sample Range

SSOC - Pressure System

0

2

4

6

8

10

0 20 40 60 80 100

M(t), Input Power(%)

C(t

), P

res

su

re(c

m-H

2O

)

BJC9/7/05

Operational Output

Operational Input

FOPDT PARAMETER CALCULATIONS

Input ranges 10-40%, 40-70%, 70-100%

All “UP” Steps 4 trials per input step range t0 ,T and K

Ave 95% confidence level – Student’s t

Results – Step Response10% Base, 30% Step

0

5

10

15

20

25

30

35

40

45

0 5 10 15 20 25

Time (s)

Inp

ut,

mo

tor

po

we

r (%

)

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

Ou

tpu

t, p

res

su

re (

cm

-H2

O)

Input Output

Step Response - 10% Base, 30% Step

0

5

10

15

20

25

30

35

40

45

0 5 10 15 20 25

Time (s)

Inp

ut,

mo

tor

po

wer

(%

)

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

Ou

tpu

t, p

ress

ure

(cm

-H2O

)

Input Output

ΔM

ΔC

63.2% of ΔC

to

Τ

K=ΔC/ΔM

Parameter Results –Data Sample

K to T(cm-H2O)/% (sec) (sec)

AVE 0.0037 0.65 2.1Student's T ± 0.00006 ± 0.072 ± 0.06

10 - 40% Input Range

Parameter ResultsAverage Steady-State Gain

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

10%-40% 40%-70% 70%-100%

Parameter ResultsAverage Response Time

0

0.5

1

1.5

2

2.5

3

10%-40% 40%-70% 70%-100%

Parameter ResultsAverage Dead Time

0

0.2

0.4

0.6

0.8

10%-40% 40%-70%

Summary and Conclusions

The C(t), M(t) relation SSOC

Non-linear 1-10 cm-H2O Operational output range

30%-100% Operational input range

Summary and Conclusions

FOPDT Step Response Parameters Gain – Increases from lower to upper

ranges. Response Time – Significant variance

between ranges. Dead Time – Decreases from lower to

upper ranges.