An ideal boost converter must produce 25 V from 15 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 15 VVo = 25 V
D =
2.Easy
An ideal buck converter turns 15 V into 7.5 V and delivers 4 A to its load. Find the average input current Iin.
Vin = 15 VVo = 7.5 VIo = 4 A
Iin = A
3.Medium
An ideal boost converter turns 48 V into 96 V at 50 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 48 VVo = 96 Vf = 50 kHzL = 220 µH
ΔIL = A
4.Medium
An ideal buck converter turns 48 V into 33.6 V at 250 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 48 VVo = 33.6 Vf = 250 kHzL = 100 µH
ΔIL = A
5.Hard
A buck converter turns 9 V into 4.5 V for a 10 Ω load at 20 kHz, with L = 220 µH and C = 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 9 VVo = 4.5 Vf = 20 kHzL = 220 µHC = 220 µF
ΔVo = mV
6.Hard
An ideal inverting buck-boost converter turns 36 V into −24 V for an 8 Ω load at 50 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 36 VVo = −24 Vf = 50 kHzR = 8 Ω
Lcrit = µH
Answer key
- 1. D = 0.4
- 2. Iin = 2 A
- 3. ΔIL = 2.182 A
- 4. ΔIL = 0.4032 A
- 5. ΔVo = 14.53 mV
- 6. Lcrit = 28.8 µH
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