An ideal boost converter must produce 45 V from 9 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 9 VVo = 45 V
D =
2.Easy
An ideal inverting buck-boost converter must produce −9 V from 9 V in continuous conduction. Find the duty cycle D.
Vin = 9 VVo = −9 V
D =
3.Medium
An ideal buck converter turns 36 V into 14.4 V at 50 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 14.4 Vf = 50 kHzL = 330 µH
ΔIL = A
4.Medium
An ideal boost converter turns 48 V into 192 V at 250 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 48 VVo = 192 Vf = 250 kHzL = 330 µH
ΔIL = A
5.Hard
An ideal inverting buck-boost converter turns 48 V into −32 V for a 5 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 48 VVo = −32 Vf = 20 kHzR = 5 Ω
Lcrit = µH
6.Hard
A buck converter turns 36 V into 14.4 V at 500 kHz with L = 47 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 10 mV.
Vin = 36 VVo = 14.4 Vf = 500 kHzL = 47 µHΔVo = 10 mV
C = µF
Answer key
- 1. D = 0.8
- 2. D = 0.5
- 3. ΔIL = 0.5236 A
- 4. ΔIL = 0.4364 A
- 5. Lcrit = 45 µH
- 6. C = 9.191 µF
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