An ideal inverting buck-boost converter must produce −20 V from 5 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 5 VVo = −20 V
D =
2.Easy
An ideal buck converter turns 36 V into 21.6 V and delivers 3 A to its load. Find the average input current Iin.
Vin = 36 VVo = 21.6 VIo = 3 A
Iin = A
3.Medium
An ideal inverting buck-boost converter turns 36 V into −54 V at 25 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = −54 Vf = 25 kHzL = 220 µH
ΔIL = A
4.Medium
An ideal buck converter turns 48 V into 24 V at 500 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 48 VVo = 24 Vf = 500 kHzL = 47 µH
ΔIL = A
5.Hard
An ideal inverting buck-boost converter turns 24 V into −56 V for an 8 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 24 VVo = −56 Vf = 20 kHzR = 8 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 36 V into 48 V for a 10 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 36 VVo = 48 Vf = 500 kHzR = 10 Ω
Lcrit = µH
Answer key
- 1. D = 0.8
- 2. Iin = 1.8 A
- 3. ΔIL = 3.927 A
- 4. ΔIL = 0.5106 A
- 5. Lcrit = 18 µH
- 6. Lcrit = 1.406 µH
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