An ideal inverting buck-boost converter runs from 5 V with a duty cycle D = 0.8 in continuous conduction. Find the magnitude of the output voltage |Vo|.
DC-DC converters worksheet with answers
1.Easy
Vin = 5 VD = 0.8
|Vo| = V
2.Easy
An ideal inverting buck-boost converter must produce −7.5 V from 5 V in continuous conduction. Find the duty cycle D.
Vin = 5 VVo = −7.5 V
D =
3.Medium
An ideal buck converter turns 9 V into 5.4 V at 50 kHz with L = 33 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = 5.4 Vf = 50 kHzL = 33 µH
ΔIL = A
4.Medium
An ideal boost converter turns 15 V into 25 V at 250 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 15 VVo = 25 Vf = 250 kHzL = 22 µH
ΔIL = A
5.Hard
A buck converter turns 24 V into 16.8 V for a 10 Ω load at 200 kHz, with L = 150 µH and C = 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = 16.8 Vf = 200 kHzL = 150 µHC = 10 µF
ΔVo = mV
6.Hard
An ideal inverting buck-boost converter turns 9 V into −9 V for a 50 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = −9 Vf = 25 kHzR = 50 Ω
Lcrit = µH
Answer key
- 1. |Vo| = 20 V
- 2. D = 0.6
- 3. ΔIL = 1.309 A
- 4. ΔIL = 1.091 A
- 5. ΔVo = 10.5 mV
- 6. Lcrit = 250 µH
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