Determine an expression for C in terms of R and U for the situation when both set point change and load change occur simultaneously.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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a) Determine an expression for C in terms of R and U for the situation when both set point change and load change occur simultaneously.

b) Construct the routh array for the control system shown in Fig.1. İs the system stable for Kc=1.

c) The set point of the control system shown in Fig.1 is given a unit-step change. The load has not changed from its steady-state value (U=0). Determine the offset.

d) Determine the offset for the case of a unit-load change. The set point has not changed from its steady-state value (R=0).

1
R.
Kc
7²s² + 23ts +1
Where,
5 = 1
1
T = 0.85 min
Tms + 1
Im = 0.1 min
Ke =1
Figure 1. Block diagram of the control system
a- Determine an expression for C in terms of R and U for the situation when both set point change and
load change occur simultaneously.
b- Construct the Routh array for the control system shown in Fig. 1. Is the system stable for K=1.
c- The set point of the control system shown in Fig.1 is given a unit-step change. The load has not
changed from its steady-state value (U=0). Determine the offset.
d- Determine the offset for the case of a unit-load change. The set point has not changed from its
steady-state value (R=0).
Transcribed Image Text:1 R. Kc 7²s² + 23ts +1 Where, 5 = 1 1 T = 0.85 min Tms + 1 Im = 0.1 min Ke =1 Figure 1. Block diagram of the control system a- Determine an expression for C in terms of R and U for the situation when both set point change and load change occur simultaneously. b- Construct the Routh array for the control system shown in Fig. 1. Is the system stable for K=1. c- The set point of the control system shown in Fig.1 is given a unit-step change. The load has not changed from its steady-state value (U=0). Determine the offset. d- Determine the offset for the case of a unit-load change. The set point has not changed from its steady-state value (R=0).
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