At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the fluid inside to 100 °C. The initial temperature of the fluid is 25 °C. Temperature is taken every 2 minutes, starting at t = 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The system may be assumed to be of first order.
At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the fluid inside to 100 °C. The initial temperature of the fluid is 25 °C. Temperature is taken every 2 minutes, starting at t = 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The system may be assumed to be of first order.
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter29: Dc Generators
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Question
![At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the
fluid inside to 100 °C. The initial temperature of the fluid is 25 °C. Temperature is taken every 2 minutes, starting at t
= 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The
system may be assumed to be of first order.
110.00
100.00
90.00
80.00
70.00
60.00
50.00
40.00
30.00
20.00
Answer:
0
0.75
3
10
What is the DC gain of the system,
O 1
1.333
20
Let 8(t) be the function describing the temperature increase, i.e. 8(t) = T(t) - 25, where T is the actual temperature.
The input power is p(t) = 100 u(t) kW.
What is a feasible time delay, in minutes, for the system?
What is the transfer function
e(s) =
P(s)
30
e(s)
P(s)
40
50
(in C°/kW)?
60
e(s)
-? Provide at least 6 significant digits for the numerical coefficients.
P(s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7aef8961-0d40-4e97-aef0-545395cc6194%2Fab1fbfaa-de50-47cd-9c48-7b85b0023e0d%2Fou4vnf_processed.png&w=3840&q=75)
Transcribed Image Text:At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the
fluid inside to 100 °C. The initial temperature of the fluid is 25 °C. Temperature is taken every 2 minutes, starting at t
= 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The
system may be assumed to be of first order.
110.00
100.00
90.00
80.00
70.00
60.00
50.00
40.00
30.00
20.00
Answer:
0
0.75
3
10
What is the DC gain of the system,
O 1
1.333
20
Let 8(t) be the function describing the temperature increase, i.e. 8(t) = T(t) - 25, where T is the actual temperature.
The input power is p(t) = 100 u(t) kW.
What is a feasible time delay, in minutes, for the system?
What is the transfer function
e(s) =
P(s)
30
e(s)
P(s)
40
50
(in C°/kW)?
60
e(s)
-? Provide at least 6 significant digits for the numerical coefficients.
P(s)
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