An ideal boost converter must produce 80 V from 48 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VVo = 80 V
D =
2.Easy
An ideal buck-boost converter turns 15 V into 10 V and delivers 1.5 A to its load. Find the average input current Iin.
Vin = 15 VVo = 10 VIo = 1.5 A
Iin = A
3.Medium
An ideal buck converter turns 36 V into 14.4 V at 50 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 14.4 Vf = 50 kHzL = 100 µH
ΔIL = A
4.Medium
An ideal buck converter turns 36 V into 18 V at 25 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 18 Vf = 25 kHzL = 220 µH
ΔIL = A
5.Hard
A buck converter turns 24 V into 18 V for a 20 Ω load at 250 kHz, with L = 22 µH and C = 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = 18 Vf = 250 kHzL = 22 µHC = 100 µF
ΔVo = mV
6.Hard
An ideal buck converter turns 9 V into 6.3 V for a 4 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = 6.3 Vf = 25 kHzR = 4 Ω
Lcrit = µH
Answer key
- 1. D = 0.4
- 2. Iin = 1 A
- 3. ΔIL = 1.728 A
- 4. ΔIL = 1.636 A
- 5. ΔVo = 4.091 mV
- 6. Lcrit = 24 µH
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