The minimum inductance (Lmin) for continuous current for a boost converter is given by (where D is duty ratio):

1
Lmin = \(\rm\frac{D(1−D)^2 R}{2 f}\)
2
Lmin = \(\rm\frac{D(1+D)^2 R}{2f}\)
3
Lmin = \(\rm\frac{D(1−D) R}{2 f}\)
4
Lmin = \(\rm\frac{D(1+D) R}{2 f}\)

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