An ideal inverting buck-boost converter runs from 5 V with a duty cycle D = 0.75 in continuous conduction. Find the magnitude of the output voltage |Vo|.
DC-DC converters worksheet with answers
1.Easy
Vin = 5 VD = 0.75
|Vo| = V
2.Easy
An ideal buck converter turns 12 V into 6 V and delivers 4 A to its load. Find the average input current Iin.
Vin = 12 VVo = 6 VIo = 4 A
Iin = A
3.Medium
An ideal buck converter turns 48 V into 33.6 V at 25 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 48 VVo = 33.6 Vf = 25 kHzL = 150 µH
ΔIL = A
4.Medium
An ideal boost converter turns 48 V into 160 V for a 12 Ω load. Find the average inductor current IL.
Vin = 48 VVo = 160 VR = 12 Ω
IL = A
5.Hard
An ideal inverting buck-boost converter turns 24 V into −72 V for a 25 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = −72 Vf = 20 kHzR = 25 Ω
Lcrit = µH
6.Hard
An ideal buck-boost converter turns 24 V into −72 V for a 20 Ω load at 250 kHz. The output capacitor is 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 24 VVo = −72 Vf = 250 kHzC = 22 µFR = 20 Ω
ΔVo = mV
Answer key
- 1. |Vo| = 15 V
- 2. Iin = 2 A
- 3. ΔIL = 2.688 A
- 4. IL = 44.44 A
- 5. Lcrit = 39.06 µH
- 6. ΔVo = 490.9 mV
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