One student is working on the following converter. The gating signals sent to S1 and S4 are shown below (S1 and S3 are operating in a complimentary way, and S2 and S4 are operating in a complimentary way). Va= 100V, R = 1002, and switches are assumed to be ideal that conduction voltage is zero. P 2V Si S2 L i, A + İL R V В Va S3 Sa N Vs1 Ton=0.07ms Tof=0.03ms 15 V Тоn Tof Vs4. 15 V 1. Express V. using Va and the duty cycle (D, the duty cycle of S1) under above gating signals assuming a continuous-mode operation. 2. Determine the inductance (L) enabling the converter to operate under the boundary point (the boundary between continuous and discontinuous modes) using the given switching scheme. 3. Determine the output voltage ripple AV, under the condition of 1-2), that is under a boundary operation point. 4. To reduce the output voltage ripple (AV.) to 21V, a capacitor was connected in parallel with the load resistor R. Determine the capacitance C.

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One student is working on the following converter. The gating signals sent to S1 and S4 are shown
below (S1 and S3 are operating in a complimentary way, and S2 and S4 are operating in a
complimentary way). Va= 100V, R= 1002, and switches are assumed to be ideal that conduction
voltage is zero.
P
2V Si
S2
L
A
iL
R V.
B
Va
S3
S4
N
Vs1
Ton=0.07ms Tof=0.03ms
15 V
Ton
Tof
Vsa A
15 V
1. Express Vo using Va and the duty cycle (D, the duty cycle of S1) under above gating signals
assuming a continuous-mode operation.
2. Determine the inductance (L) enabling the converter to operate under the boundary point
(the boundary between continuous and discontinuous modes) using the given switching
scheme.
3. Determine the output voltage ripple AV, under the condition of 1-2), that is under a
boundary operation point.
4. To reduce the output voltage ripple (AV.) to 21V, a capacitor was connected in parallel
with the load resistor R. Determine the capacitance C.
+
Transcribed Image Text:One student is working on the following converter. The gating signals sent to S1 and S4 are shown below (S1 and S3 are operating in a complimentary way, and S2 and S4 are operating in a complimentary way). Va= 100V, R= 1002, and switches are assumed to be ideal that conduction voltage is zero. P 2V Si S2 L A iL R V. B Va S3 S4 N Vs1 Ton=0.07ms Tof=0.03ms 15 V Ton Tof Vsa A 15 V 1. Express Vo using Va and the duty cycle (D, the duty cycle of S1) under above gating signals assuming a continuous-mode operation. 2. Determine the inductance (L) enabling the converter to operate under the boundary point (the boundary between continuous and discontinuous modes) using the given switching scheme. 3. Determine the output voltage ripple AV, under the condition of 1-2), that is under a boundary operation point. 4. To reduce the output voltage ripple (AV.) to 21V, a capacitor was connected in parallel with the load resistor R. Determine the capacitance C. +
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