An ideal inverting buck-boost converter runs from 15 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 = 15 VD = 0.6
|Vo| = V
2.Easy
An ideal inverting buck-boost converter must produce −112 V from 48 V in continuous conduction. Find the duty cycle D.
Vin = 48 VVo = −112 V
D =
3.Medium
An ideal buck converter turns 36 V into 21.6 V at 200 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 21.6 Vf = 200 kHzL = 22 µH
ΔIL = A
4.Medium
An ideal boost converter turns 15 V into 37.5 V for a 10 Ω load. Find the average inductor current IL.
Vin = 15 VVo = 37.5 VR = 10 Ω
IL = A
5.Hard
An ideal buck converter turns 15 V into 7.5 V for a 10 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 15 VVo = 7.5 Vf = 40 kHzR = 10 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 12 V into 24 V for a 20 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = 24 Vf = 200 kHzR = 20 Ω
Lcrit = µH
Answer key
- 1. |Vo| = 22.5 V
- 2. D = 0.7
- 3. ΔIL = 1.964 A
- 4. IL = 9.375 A
- 5. Lcrit = 62.5 µH
- 6. Lcrit = 6.25 µH
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