An ideal inverting buck-boost converter must produce −28 V from 12 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 12 VVo = −28 V
D =
2.Easy
An ideal buck converter must produce 6 V from 24 V in continuous conduction. Find the duty cycle D.
Vin = 24 VVo = 6 V
D =
3.Medium
An ideal boost converter turns 36 V into 48 V for a 2.5 Ω load. Find the average inductor current IL.
Vin = 36 VVo = 48 VR = 2.5 Ω
IL = A
4.Medium
An ideal buck converter turns 12 V into 6 V at a switching frequency of 250 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.4 A.
Vin = 12 VVo = 6 Vf = 250 kHzΔIL = 0.4 A
L = µH
5.Hard
An ideal inverting buck-boost converter turns 9 V into −27 V for a 2 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = −27 Vf = 200 kHzR = 2 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 24 V into 80 V for a 2 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = 80 Vf = 20 kHzR = 2 Ω
Lcrit = µH
Answer key
- 1. D = 0.7
- 2. D = 0.25
- 3. IL = 25.6 A
- 4. L = 30 µH
- 5. Lcrit = 0.3125 µH
- 6. Lcrit = 3.15 µH
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