Voltage (V) 9 8 7 6 3 2 1 0 0 50 100 150 Open Loop Time (s) -Vq Vh 200 250 300 350 h qin dout Vm Va Vn A Cq Km Ка Kn Figure 4 - Open loop system is the height of the water in the tank is the flow rate into the tank (proportional to the voltage applied to the pump, Vm) is the flow rate out of the tank (dependent on the manual valve position) is the voltage delivered to the motorised variable speed pump is the voltage returned by the flow rate sensor (proportional to the flow rate in, qin) is the voltage returned by the water level sensor (proportional to the water height, h) is the cross sectional area of the tank = 9.35 × 10-³ m² -3 is the linearised flow constant of the manual valve (flow is assumed proportional to h and the characteristic of the valve is linearised) = ?? (cm³/min)/m is the constant of proportionality for the pump = 500 (cm³/min)/V is the constant of proportionality for the flow rate sensor = 0.00227 V/(cm³/min) is the constant of proportionality for the water level sensor = 40 V/m
Voltage (V) 9 8 7 6 3 2 1 0 0 50 100 150 Open Loop Time (s) -Vq Vh 200 250 300 350 h qin dout Vm Va Vn A Cq Km Ка Kn Figure 4 - Open loop system is the height of the water in the tank is the flow rate into the tank (proportional to the voltage applied to the pump, Vm) is the flow rate out of the tank (dependent on the manual valve position) is the voltage delivered to the motorised variable speed pump is the voltage returned by the flow rate sensor (proportional to the flow rate in, qin) is the voltage returned by the water level sensor (proportional to the water height, h) is the cross sectional area of the tank = 9.35 × 10-³ m² -3 is the linearised flow constant of the manual valve (flow is assumed proportional to h and the characteristic of the valve is linearised) = ?? (cm³/min)/m is the constant of proportionality for the pump = 500 (cm³/min)/V is the constant of proportionality for the flow rate sensor = 0.00227 V/(cm³/min) is the constant of proportionality for the water level sensor = 40 V/m
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
a)If the system has a transfer function of the form G_P (s)=H(s)/(V_m (s) )=μ/(1+Ts) where µ is the gain and T is the time constant, calculate values for µ and T for the case where the valve is at position 3.
Hints: Use the constants and information in table 1. The dynamics of the water tank can be found by applying the continuity equation: qin - qout = rate of change in water tank

Transcribed Image Text:Voltage (V)
9
8
7
6
3
2
1
0
0
50
100
150
Open Loop
Time (s)
-Vq
Vh
200
250
300
350

Transcribed Image Text:h
qin
dout
Vm
Va
Vn
A
Cq
Km
Ка
Kn
Figure 4 - Open loop system
is the height of the water in the tank
is the flow rate into the tank (proportional to the voltage applied to the pump, Vm)
is the flow rate out of the tank (dependent on the manual valve position)
is the voltage delivered to the motorised variable speed pump
is the voltage returned by the flow rate sensor (proportional to the flow rate in, qin)
is the voltage returned by the water level sensor (proportional to the water height, h)
is the cross sectional area of the tank = 9.35 × 10-³ m²
-3
is the linearised flow constant of the manual valve (flow is assumed proportional to h
and the characteristic of the valve is linearised) = ?? (cm³/min)/m
is the constant of proportionality for the pump = 500 (cm³/min)/V
is the constant of proportionality for the flow rate sensor = 0.00227 V/(cm³/min)
is the constant of proportionality for the water level sensor = 40 V/m
Expert Solution

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

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY