An ideal inverting buck-boost converter runs from 15 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 = 15 VD = 0.8
|Vo| = V
2.Easy
An ideal buck converter runs from 36 V with a duty cycle D = 0.75 in continuous conduction. Find the output voltage Vo.
Vin = 36 VD = 0.75
Vo = V
3.Medium
An ideal boost converter turns 12 V into 24 V for a 10 Ω load. Find the average inductor current IL.
Vin = 12 VVo = 24 VR = 10 Ω
IL = A
4.Medium
A buck converter turns 24 V into 7.2 V for a 2 Ω load. It switches at 40 kHz with L = 68 µH. Find the peak inductor current Imax.
Vin = 24 VVo = 7.2 Vf = 40 kHzL = 68 µHR = 2 Ω
Imax = A
5.Hard
An ideal inverting buck-boost converter turns 15 V into −5 V for a 25 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 15 VVo = −5 Vf = 250 kHzR = 25 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 9 V into 22.5 V for a 5 Ω load at 25 kHz. The output capacitor is 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 9 VVo = 22.5 Vf = 25 kHzC = 100 µFR = 5 Ω
ΔVo = mV
Answer key
- 1. |Vo| = 60 V
- 2. Vo = 27 V
- 3. IL = 4.8 A
- 4. Imax = 4.526 A
- 5. Lcrit = 28.13 µH
- 6. ΔVo = 1080 mV
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