An ideal boost converter must produce 144 V from 36 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 36 VVo = 144 V
D =
2.Easy
An ideal inverting buck-boost converter runs from 36 V with a duty cycle D = 0.25 in continuous conduction. Find the magnitude of the output voltage |Vo|.
Vin = 36 VD = 0.25
|Vo| = V
3.Medium
An ideal boost converter turns 48 V into 160 V for a 25 Ω load. Find the average inductor current IL.
Vin = 48 VVo = 160 VR = 25 Ω
IL = A
4.Medium
A buck converter turns 9 V into 6.3 V for a 4 Ω load. It switches at 25 kHz with L = 220 µH. Find the peak inductor current Imax.
Vin = 9 VVo = 6.3 Vf = 25 kHzL = 220 µHR = 4 Ω
Imax = A
5.Hard
A buck converter turns 15 V into 10.5 V at 250 kHz with L = 100 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 15 VVo = 10.5 Vf = 250 kHzL = 100 µH
Io,min = A
6.Hard
A buck converter turns 24 V into 6 V at 250 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 24 VVo = 6 Vf = 250 kHzL = 47 µH
Io,min = A
Answer key
- 1. D = 0.75
- 2. |Vo| = 12 V
- 3. IL = 21.33 A
- 4. Imax = 1.747 A
- 5. Io,min = 0.063 A
- 6. Io,min = 0.1915 A
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