Using Table 18-4, determine the proper proportional, integral, and derivative controller settings by using the Ziegler-Nichols reaction-curve method, which provides the following process-identification information on a graph:     Effective Delay (D): 0.5 minutes Step Change (X): 8% Slope of the Reaction Curve: 12% Process Reaction Rate =  Unit Reaction Rate =  Proportional Gain Setting =    Integral Setting (Reset Time)=  Derivative Time Setting =

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
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Using Table 18-4, determine the proper proportional, integral, and derivative controller settings by using the Ziegler-Nichols reaction-curve method, which provides the following process-identification information on a graph:

 

 

Effective Delay (D): 0.5 minutes
Step Change (X): 8%
Slope of the Reaction Curve: 12%


Process Reaction Rate = 
Unit Reaction Rate = 
Proportional Gain Setting =   
Integral Setting (Reset Time)= 
Derivative Time Setting = 

TABLE 18-4 Ziegler-Nichols Reaction-Curve Formulas
Proportional Proportional (Minutes per
Gain K.
Reset Time T; Reset Rate T,
(Repeats per
Minute)
Controller
Derivative
Mode
Band PB
Repeat)
Time Td
K. = 1/R,D
K. = 0.9/R,D
K. = 1.2/R,D
PB = 100R¡D
N/A
N/A
N/A
PI
PB = 110R¡D
3.33D
0.3/D
N/A
PID
PB = 83R¡D
2D
0.5/D
0.5D
Transcribed Image Text:TABLE 18-4 Ziegler-Nichols Reaction-Curve Formulas Proportional Proportional (Minutes per Gain K. Reset Time T; Reset Rate T, (Repeats per Minute) Controller Derivative Mode Band PB Repeat) Time Td K. = 1/R,D K. = 0.9/R,D K. = 1.2/R,D PB = 100R¡D N/A N/A N/A PI PB = 110R¡D 3.33D 0.3/D N/A PID PB = 83R¡D 2D 0.5/D 0.5D
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