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TPS40040 Datasheet(PDF) 21 Page - Texas Instruments |
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TPS40040 Datasheet(HTML) 21 Page - Texas Instruments |
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21 / 36 page ![]() www.ti.com Peak Current Rating of Inductor I CHARGE * V OUT C OUT T SS (9) L L(peak) * IOUT(max) 1 2 I RIPPLEt I CHARGE (10) Input Capacitor Selection (C1 & C2) C IN(min) * I LOAD V OUT V RIPPLE(cap) V IN F SW (11) ESR MAX * V RIPPLE(ESR) I LOAD 1 2 I RIPPLEt (12) I RMS(cin) t IIN(rms) I IN(avg) t I OUT * 1 12 I RIPPLE V OUT V IN V OUT I OUT V IN (13) TPS40040, TPS40041 SLUS700B – MARCH 2006 – REVISED MARCH 2006 With output capacitance known, it is now possible to calculate the charging current during start-up and determine the minimum saturation current rating for the inductor. The start-up charging current is approximated by: Using the TPS40041’s fixed 4.5-ms soft-start time, COUT = 200 µF and VOUT = 1.8 V, ICHARGE is found to be 80 mA. The peak current rating of the inductor is now found by: The inductor requirements are summarized in the table below. Inductor Requirements PARAMETER SYMBOL VALUE UNITS Inductance L 1.0 µH RMS current (thermal rating) IL(rms) 6.15 A Peak current (saturation rating) IL(peak) 7.08 A PG0083.102, 1.0 µH is selected for its small size, low DCR and high current handling capability. The input voltage ripple is divided between capacitance and ESR. For this design, VRIPPLE(CAP) = 50 mV and VRIPPLE(ESR) = 25 mV. The minimum capacitance and maximum ESR are estimated by: For this design, CIN > 120 µF and ESR < 3.5 mΩ. The RMS current in the input capacitors is estimated by: With VIN = VIN(max), the input capacitors must support a ripple current of 1.56 ARMS. Two 1206, 100-µF, X5R ceramic capacitors with about 5-m Ω ESR and a 2-A RMS current rating are selected. It is important to check the dc bias voltage derating curves to ensure the capacitors provide sufficient capacitance at the working voltage. 21 |
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