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Sepic no. 32
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32. The SEPIC circuit of Fig. 6-14a has Vs = 5 V, VO = 12 V, C1 = C2 = 50 μF, L1 = 10 µH, and L2 = 20 µH. The load resistor is 4Ω. Sketch the currents in L1 and L2, indicating average, maximum, and minimum values. The switching frequency is 100 kHz.
Solution:
12=5 ( D1−D )
D=0.71
∆ i l1=5 (0.71)
10×10−6(100KHz )
∆ i l1=3.55 A
∆ i l2=5 (0.71)
20×10−6(100KHz)
∆ i l2=1.78 A
I o=124
=3 A
I l1=12(3)5
=7.2 A
Il1Max=7.2+3.552
=9 A
Il1Min=7.2−3.552
=5.43 A
Il2Max=3+3.552
=4.78 A
Il2Min=3−3.552
=1.23 A
IL1
Category 1 Category 2 Category 3 Category 40
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2
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Series 1Series 2Series 3
IL2
Category 1 Category 2 Category 3 Category 40
1
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Series 1Series 2Series 3
