Switched Inductor Power IC Design by Gabriel Alfonso Rincón-Mora

Author:Gabriel Alfonso Rincón-Mora
Language: eng
Format: epub
ISBN: 9783030958992
Publisher: Springer International Publishing

In discontinuous conduction, iL rises to iL(PK) and falls to zero across tC before tSW ends. The average Ohmic power PR(C) that a switch consumes across tC is a squared RMS translation of the current RE or RD carry across tE or tD, which is a root-three reflection of iL(PK):

(4.94)

The average gate-charge power PG(C) needed across tC is the power vDD supplies when feeding gate charge qG into the gate:

(4.95)

Since RCH and PR(C) fall and qG and PG(C) rise with wider WCH’s, PR(C) and PG(C)’s sum PMOS(C) is minimal with the width that flattens the slope of PMOS(C) to zero. This optimal WCH′ is the square-root ratio of the Ohmic and gate-drive coefficients kRC and kGC:

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