Q 4(a) Consider the circuit shown in Figure 4. It includes a voltage source, e:(t), and a 6 volt battery. Find suitable state-variable equations for the system. Write an output equation for the output voltage eo. 2 H 6 V 1Ω F0.5 F Figure 4 Q 4(b)
Q 4(a) Consider the circuit shown in Figure 4. It includes a voltage source, e:(t), and a 6 volt battery. Find suitable state-variable equations for the system. Write an output equation for the output voltage eo. 2 H 6 V 1Ω F0.5 F Figure 4 Q 4(b)
Delmar's Standard Textbook Of Electricity
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![Q 4(a)
Consider the circuit shown in Figure 4. It includes a voltage source, e:(t), and a
6 volt battery. Find suitable state-variable equations for the system.
Write an output equation for the output voltage e..
2 H
6 V
1Ω
e(6)
0.5 F
Figure 4
Q 4(b)
The state-variable equation for a device with an electrical heater providing heat input
flux, q:(t), and which loses heat through both conduction and radiation, is
where the temperature of the device, 8, and the ambient temperature, 8,, are in
kelvin. The ambient temperature is 300 K. You will create a model of the system to
be used when designing a system to control e. When controlled, e will vary but will
have an average value of 1500 K.
1) If c = 1.0 x 10° J/K, R = 20.0 x 10-3 - K/I, and oA = 1.0 x 10-81/s/K*, find
the operating value of q:(t).
2) Find a linearized incremental state-variable equation for the system given
those parameters. Simplify it.
Q 4(c)
Consider the simplified wind turbine Simulink model shown in Figure 5.
1) Find the state-variable equations for the system. You don't need to specify
what the input function M(t) is. Also, find the output equation for eg. [5 marks]
2) The Simulink model is saved in a file named turbine". Write Matlab code to
run it three times, using a loop, with R = 100, R = 200 and R = 300. For each
run, your code should produce a separate chart containing two subplots: one
of w against t, and one of eg against t. There's no need to include code to
add titles or labels.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F413ec67e-878b-460e-a505-37a914e65723%2Fdcb11f92-84c5-44d8-8b3a-88ec17e46258%2F6xketg9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q 4(a)
Consider the circuit shown in Figure 4. It includes a voltage source, e:(t), and a
6 volt battery. Find suitable state-variable equations for the system.
Write an output equation for the output voltage e..
2 H
6 V
1Ω
e(6)
0.5 F
Figure 4
Q 4(b)
The state-variable equation for a device with an electrical heater providing heat input
flux, q:(t), and which loses heat through both conduction and radiation, is
where the temperature of the device, 8, and the ambient temperature, 8,, are in
kelvin. The ambient temperature is 300 K. You will create a model of the system to
be used when designing a system to control e. When controlled, e will vary but will
have an average value of 1500 K.
1) If c = 1.0 x 10° J/K, R = 20.0 x 10-3 - K/I, and oA = 1.0 x 10-81/s/K*, find
the operating value of q:(t).
2) Find a linearized incremental state-variable equation for the system given
those parameters. Simplify it.
Q 4(c)
Consider the simplified wind turbine Simulink model shown in Figure 5.
1) Find the state-variable equations for the system. You don't need to specify
what the input function M(t) is. Also, find the output equation for eg. [5 marks]
2) The Simulink model is saved in a file named turbine". Write Matlab code to
run it three times, using a loop, with R = 100, R = 200 and R = 300. For each
run, your code should produce a separate chart containing two subplots: one
of w against t, and one of eg against t. There's no need to include code to
add titles or labels.
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