An ideal inverting buck-boost converter must produce −18 V from 12 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 12 VVo = −18 V
D =
2.Easy
An ideal boost converter must produce 30 V from 9 V in continuous conduction. Find the duty cycle D.
Vin = 9 VVo = 30 V
D =
3.Medium
An ideal boost converter turns 12 V into 16 V at 25 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = 16 Vf = 25 kHzL = 220 µH
ΔIL = A
4.Medium
A buck converter turns 48 V into 33.6 V for a 4 Ω load. It switches at 40 kHz with L = 150 µH. Find the peak inductor current Imax.
Vin = 48 VVo = 33.6 Vf = 40 kHzL = 150 µHR = 4 Ω
Imax = A
5.Hard
An ideal buck converter turns 48 V into 14.4 V for an 8 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 48 VVo = 14.4 Vf = 500 kHzR = 8 Ω
Lcrit = µH
6.Hard
An ideal buck-boost converter turns 15 V into −45 V for a 12 Ω load at 25 kHz. The output capacitor is 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 15 VVo = −45 Vf = 25 kHzC = 100 µFR = 12 Ω
ΔVo = mV
Answer key
- 1. D = 0.6
- 2. D = 0.7
- 3. ΔIL = 0.5455 A
- 4. Imax = 9.24 A
- 5. Lcrit = 5.6 µH
- 6. ΔVo = 1125 mV
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