Figure 12-2a Use the graph in Figure 12-2a and Table 12-2b to answer the following questions using the Ziegler-Nichols Reaction Curve tuning method.a. What is the reaction rate of the process shown on the graph?b. What is the unit reaction rate of the process shown on the graph?c. What is the effective delay?Determine the following settings for a two-mode controller.d. proportional settinge. integral setting
Controller ModeProportional Gain Kc
Proportional Band PB
Reset Time Ti (Minutes per Repeat)
Reset Rate Tr (Repeats per Minute)
Derivative Time Td
P
Kc = 1/R1D
PB = 100R1D
N/A
N/A
N/A
PI
Kc = 0.9/R1D
PB = 110R1D
3.33D
0.3/D
N/A
PID
Kc = 1.2/R1D
PB = 83R1D
2D
0.5/D
0.5D
Table 12-2b
What will be an ideal response?
a. Reaction Rate(R) = B/A = 20%/1 minute = 20%
b. Unit Reaction Rate(R1) = Reaction Rate (R)/Step Change (X) = 20%/5% = 4
c. D = 2 minutes - 1 minute = 1 minute
d. P = 110R1D = 110 ´ 4 ´ 1 = 440
e. Ti = 3.33D = 3.33 ´ 1 = 3.33 Or .3 repeats/min
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