Answered: Using Table 18-4, determine the proper…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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

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