3. III. An unregulated dc input voltage Vg varies from36V to 72V. A converter shown in figure, the output voltage is controlled to be 24V. The load power varies from 10W to 500W. The element values are: L=120 H, C= 680 μF, fs=50kHz. Losses may be ignored. (a) Find the critical value of load Rent when Vg-48V. (b) Find the maximum and minimum values of the steady-state duty ratio D. (DCM: M(D,K)=- 2 1+√1+4K/D² 2₁ T D₁ * L orr C R V

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3.
III. An unregulated dc input voltage Vg varies from36V to 72V. A converter shown in figure,
the output voltage is controlled to be 24V. The load power varies from 10W to 500W. The
element values are: L=120 H, C= 680 μF, fs=50kHz. Losses may be ignored.
(a) Find the critical value of load Rent when Vg-48V.
(b) Find the maximum and minimum values of the steady-state duty ratio D.
(DCM: M(D,K)=·
2
1+√1+4K/D²
V₂
2₁
T
D₁
+
L
C
RS V
1
Transcribed Image Text:3. III. An unregulated dc input voltage Vg varies from36V to 72V. A converter shown in figure, the output voltage is controlled to be 24V. The load power varies from 10W to 500W. The element values are: L=120 H, C= 680 μF, fs=50kHz. Losses may be ignored. (a) Find the critical value of load Rent when Vg-48V. (b) Find the maximum and minimum values of the steady-state duty ratio D. (DCM: M(D,K)=· 2 1+√1+4K/D² V₂ 2₁ T D₁ + L C RS V 1
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