An ideal boost converter must produce 45 V from 36 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 36 VVo = 45 V
D =
2.Easy
An ideal buck converter turns 15 V into 9 V and delivers 1 A to its load. Find the average input current Iin.
Vin = 15 VVo = 9 VIo = 1 A
Iin = A
3.Medium
An ideal boost converter turns 9 V into 22.5 V at 50 kHz with L = 68 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = 22.5 Vf = 50 kHzL = 68 µH
ΔIL = A
4.Medium
An ideal buck converter turns 9 V into 6.3 V at 200 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 9 VVo = 6.3 Vf = 200 kHzL = 47 µH
ΔIL = A
5.Hard
An ideal inverting buck-boost converter turns 12 V into −4 V for a 2 Ω load at 50 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = −4 Vf = 50 kHzR = 2 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 9 V into 12 V for an 8 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = 12 Vf = 20 kHzR = 8 Ω
Lcrit = µH
Answer key
- 1. D = 0.2
- 2. Iin = 0.6 A
- 3. ΔIL = 1.588 A
- 4. ΔIL = 0.2011 A
- 5. Lcrit = 11.25 µH
- 6. Lcrit = 28.13 µH
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