Pressure system
Both dampers open except where noted
Experiment set #1
Set point =2.7 cm-H2O
with R=3 cm-H2O
at time=11 seconds
m-bar = bias = baseline input = 30%
Kc=0 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
First trial
overshoot0%
Kc=1 %/cm-H2O
Kc=0
Decay
ratio0.0
Monotonic
Settling
time ?
Offset3
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
overshoot0%
Kc=1
Decay
ratio0.0
Monotonic
Settling
time 4
Offset2.7
Kc=3 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
overshoot0%
Kc=3
Decay
ratio0.0
Monotonic
Settling
time 5
Offset2.2
Kc=5 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
overshoot0%
Kc=5
Decay
ratio0.0
Monotonic
Settling
time 3
Offset1.9
Kc=10 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
overshoot0%
Kc=10
Decay
ratio0.0
Monotonic
Settling
time 2
Offset1.5
Kc=20 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
overshoot0%
Kc=20
Decay
ratio0.0
Monotonic
Settling
time 2
Offset1.0
Kc=30 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
overshoot0%
Kc=30
Decay
ratio0.0
oscillatory
Settling
time 3
Offset0.7
Notice that the Input, m(t) pegged at 100% when the set-point changed and it
stayed pegged about 1 second. This phenomenon is because of the real
physical nature of the system. Specifically, the fan motor can not exceed an
input of 100%. This phenomenon is not part of our Laplace transform analysis,
so the modeling and the experiments will not be in good agreement for this value
of Kc or any larger value.
Kc=50 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
overshoot20%
Kc=100 %/cm-H2O
Kc=50
Decay
ratio0.1
oscillatory
Settling
time 4
Offset0.5
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
9
10
11
12
13
14
15
16
17
18
19
Tim e (sec)
overshoot33%
Kc=100
Decay
ratio0.22
oscillatory
Settling
time 10
Offset0.2
Kc = 200 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
5
10
15
20
25
30
35
Tim e (sec)
overshoot40%
Kc=200
Decay
ratio0.54
oscillatory
Settling
time NOT
Offset0.1
NOTICE Even though this has a decay ratio less than 1, it does not settle down.
I call this NOT STABLE. So this Kc=200 is either Kcu or larger than Kcu
Kc=150 %/cm-H2O
Engineering
100
7
90
80
6
60
5
50
40
4
Output
Input (%)
70
30
20
3
10
0
2
5
10
15
20
25
30
35
Tim e (sec)
overshoot31%
Kc=150
Decay
ratio0.33
oscillatory
Settling
time 16
Based on these experiments, I’m going to call Kcu=200 %/cm-H2O
JMH
24-March-2005
Offset0.1