An ideal inverting buck-boost converter runs from 12 V with a duty cycle D = 0.6 in continuous conduction. Find the magnitude of the output voltage |Vo|.
DC-DC converters worksheet with answers
1.Easy
Vin = 12 VD = 0.6
|Vo| = V
2.Easy
An ideal buck converter must produce 2.5 V from 5 V in continuous conduction. Find the duty cycle D.
Vin = 5 VVo = 2.5 V
D =
3.Medium
An ideal boost converter turns 48 V into 160 V for a 4 Ω load. Find the average inductor current IL.
Vin = 48 VVo = 160 VR = 4 Ω
IL = A
4.Medium
An ideal inverting buck-boost converter turns 9 V into −13.5 V at 500 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = −13.5 Vf = 500 kHzL = 150 µH
ΔIL = A
5.Hard
An ideal buck-boost converter turns 24 V into −72 V for a 50 Ω load at 250 kHz. The output capacitor is 47 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = −72 Vf = 250 kHzC = 47 µFR = 50 Ω
ΔVo = mV
6.Hard
An ideal inverting buck-boost converter turns 48 V into −48 V for a 2 Ω load at 50 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 48 VVo = −48 Vf = 50 kHzR = 2 Ω
Lcrit = µH
Answer key
- 1. |Vo| = 18 V
- 2. D = 0.5
- 3. IL = 133.3 A
- 4. ΔIL = 0.072 A
- 5. ΔVo = 91.91 mV
- 6. Lcrit = 5 µH
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