(i) A DC/DC boost converter is operated in continuous conduction mode (CCM). Assume the input voltage (Vin) is (30+X) V, the output voltage (Vout) is 120 V, and the output resistance (R) is 102, the ESR of the inductor (R₁) is (0.04+0.001*Y) N. Calculate the duty cycle D and efficiency of the boost converter. Note that XY are the last two digits of your student number. For example, if your student number is C1700123, then X=2, Y=3; 30+X=32, 0.04+0.001*Y=0.043.

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X = 5

Y = 4

b) (i)
A DC/DC boost converter is operated in continuous conduction mode
(CCM). Assume the input voltage (Vin) is (30+X) V, the output voltage
(Vout) is 120 V, and the output resistance (R) is 10 , the ESR of the
inductor (R₁) is (0.04+0.001*Y) Q. Calculate the duty cycle D and
efficiency of the boost converter.
Note that XY are the last two digits of your student number. For
example, if your student number is C1700123, then X=2, Y=3;
30+X=32, 0.04+0.001*Y=0.043.
(ii) A DC/DC buck-boost converter is operated in discontinuous
conduction mode (DCM). Derive the voltage transfer function Vout/Vin
in terms of the duty cycle D.
(iii) A DC/DC buck-boost converter is operated in DCM. Assume the input
voltage is 15 V, output voltage is 10 V, inductance is (40+Y) µH,
switching frequency is 20 kHz, the output resistance is 15 Q. Calculate
the average current of the diode.
Note that Y is the last digit of your student number. For example, if
your number is C1700123, then Y=3; 40+Y=43.
Transcribed Image Text:b) (i) A DC/DC boost converter is operated in continuous conduction mode (CCM). Assume the input voltage (Vin) is (30+X) V, the output voltage (Vout) is 120 V, and the output resistance (R) is 10 , the ESR of the inductor (R₁) is (0.04+0.001*Y) Q. Calculate the duty cycle D and efficiency of the boost converter. Note that XY are the last two digits of your student number. For example, if your student number is C1700123, then X=2, Y=3; 30+X=32, 0.04+0.001*Y=0.043. (ii) A DC/DC buck-boost converter is operated in discontinuous conduction mode (DCM). Derive the voltage transfer function Vout/Vin in terms of the duty cycle D. (iii) A DC/DC buck-boost converter is operated in DCM. Assume the input voltage is 15 V, output voltage is 10 V, inductance is (40+Y) µH, switching frequency is 20 kHz, the output resistance is 15 Q. Calculate the average current of the diode. Note that Y is the last digit of your student number. For example, if your number is C1700123, then Y=3; 40+Y=43.
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