B-4-10. Consider the liquid-level control system shown in Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state inflow rate is and steady-state outflow rate is also Q, the steady-state head is H, steady-state pilot valve displacement is X = 0, and steady-state valve position is Y. We assume that the set point R corresponds to the steady-state head H. The set point is fixed. Assume also that the disturbance inflow rate 94, which is a small quantity, is applied to the water tank at = 0. This disturbance causes the head to change from to H+h. This change results in a change in the outflow rate by qo. Through the hydraulic controller, the change in head causes a change in the inflow rate from 0 to + q. (The integral controller tends to keep the head constant as much as possible in the presence of disturbances.) We assume that all changes are of small quantities.
B-4-10. Consider the liquid-level control system shown in Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state inflow rate is and steady-state outflow rate is also Q, the steady-state head is H, steady-state pilot valve displacement is X = 0, and steady-state valve position is Y. We assume that the set point R corresponds to the steady-state head H. The set point is fixed. Assume also that the disturbance inflow rate 94, which is a small quantity, is applied to the water tank at = 0. This disturbance causes the head to change from to H+h. This change results in a change in the outflow rate by qo. Through the hydraulic controller, the change in head causes a change in the inflow rate from 0 to + q. (The integral controller tends to keep the head constant as much as possible in the presence of disturbances.) We assume that all changes are of small quantities.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question

Transcribed Image Text:B-4-10. Consider the liquid-level control system shown in
We assume that the velocity of the power piston (valve)
dy
dt
Figure 4-52. The inlet valve is controlled by a hydraulic is proportional to pilot-valve displacement x. or
integral controller. Assume that the steady-state inflow rate
is and steady-state outflow rate is also, the steady-state
head is , steady-state pilot valve displacement is X = 0,
and steady-state valve position is Y. We assume that the set
point R corresponds to the steady-state head H. The set
point is fixed. Assume also that the disturbance inflow rate
94, which is a small quantity, is applied to the water tank at
t = 0. This disturbance causes the head to change from H to
H+h. This change results in a change in the outflow rate
by qo. Through the hydraulic controller, the change in head
causes a change in the inflow rate from Q to Q + q. (The
integral controller tends to keep the head constant as much
as possible in the presence of disturbances.) We assume that
all changes are of small quantities.
=
K₁.x
where K, is a positive constant. We also assume that the
change in the inflow rate q; is negatively proportional to the
change in the valve opening y, or
9i= -Kry
where K, is a positive constant.
Assuming the following numerical values for the system,
C = 2m², R = 0.5 sec/m²,
1 m²/sec
=
a = 0.25 m.
b = 0.75 m.
obtain the transfer function H(s)/Q(s)|
K₂
K₁
=
4 sec¹
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Recommended textbooks for you

Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON

Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science

Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning

Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON

Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science

Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning

Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning

Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education

Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY