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
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
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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
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
0
10
20
What is the transfer function
30
40
What is a feasible time delay, in minutes, for the system?
(s)
What is the DC gain of the system,
P(s)
e(s)?
P(s)
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.
50
(in C°/kW)?
60
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