P4.11 One important objective of the paper-making process is to maintain uniform consistency of the stock output as it progresses to drying and rolling. A diagram of the thick stock consistency dilution control system is shown in Figure P4.11(a). The amount of water added determines the consistency. The block diagram of the system is shown in Figure P4.11(b). Let H(s) = 1 and Ge(s) = gure P4.11 per-making control. Pulp mixing Determine (a) the closed-loop transfer function T(s) = Y(s)/R(s), (b) the sensitivity S, and (c) the steady-state error for a step change in the desired consistency R(s) = A/s. (d) Calculate the value of K required for an allowable steady-state error of 4%. Water Valve R(s) K 20s + 1¹ Desired consistency = R(s) U(s) Controller (a) G(s) M(s) G (s) = (b) U(s) M(s) G(s) 1 3s + 1 H(s) Consistency measurement Y(s) To paper making

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.9MCQ
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P4.11 One important objective of the paper-making process is to
maintain uniform consistency of the stock output as it progresses to
drying and rolling. A diagram of the thick stock consistency dilution
control system is shown in Figure P4.11(a). The amount of water added
determines the consistency. The block diagram of the system is shown in
Figure P4.11(b). Let H(s) = 1 and
Ge(s) =
Figure P4.11
Paper-making control.
Pulp
mixing
Determine (a) the closed-loop transfer function T(s) = Y(s)/R(s), (b)
the sensitivity S, and (c) the steady-state error for a step change in the
desired consistency R(s) = A/s. (d) Calculate the value of K required
for an allowable steady-state error of 4%.
Water
Valve
R(s)
K
20s + 1¹
Desired consistency = R(s)
U(s)
Controller
(a)
G,(s)
M(s)
G (s) =
(b)
U(s)
M(s)
G(s)
1
3s +1
H(s)
Consistency
measurement
Y(s)
To
paper
making
Transcribed Image Text:P4.11 One important objective of the paper-making process is to maintain uniform consistency of the stock output as it progresses to drying and rolling. A diagram of the thick stock consistency dilution control system is shown in Figure P4.11(a). The amount of water added determines the consistency. The block diagram of the system is shown in Figure P4.11(b). Let H(s) = 1 and Ge(s) = Figure P4.11 Paper-making control. Pulp mixing Determine (a) the closed-loop transfer function T(s) = Y(s)/R(s), (b) the sensitivity S, and (c) the steady-state error for a step change in the desired consistency R(s) = A/s. (d) Calculate the value of K required for an allowable steady-state error of 4%. Water Valve R(s) K 20s + 1¹ Desired consistency = R(s) U(s) Controller (a) G,(s) M(s) G (s) = (b) U(s) M(s) G(s) 1 3s +1 H(s) Consistency measurement Y(s) To paper making
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