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## TPS40140 Datasheet(PDF) 43 Page - Texas Instruments

 Part No. TPS40140 Description DUAL OR 2-PHASE, STACKABLE CONTROLLER Download 65 Pages Scroll/Zoom 100% Manufacturer TI [Texas Instruments] Direct Link http://www.ti.com Logo

## TPS40140 Datasheet(HTML) 43 Page - Texas Instruments

 43 / 65 pagewww.ti.com6.1.2Step 2: Output Capacitor Selection()2I× LTRAN(MAX)C=OUT(MIN)V- V× VIN(min)OUTUNDER(2)2I× LTRAN(MAX)C=OUT(MIN)V× VOUTOVER(3)æöç÷èøRIPPLERIPPLE(TotOUT)RIPPLE(TotOUT)RIPPLE(COUT)OUTSWCoRIPPLERIPPLEIV-V- V8 × C× fESR==II(4)6.1.3Step 3: Input Capacitor SelectionI× VOUTOUTC=IN(min)V× V× fRIPPLE(CIN)INSW(5)VRIPPLE(CinESR)ESR=Cin1I+IOUTRIPPLE2(6)RM S_CINO UTI=D × (1 - D) × I(7)TPS40140DUAL OR 2-PHASE, STACKABLE CONTROLLERSLUS660A – SEPTEMBER 2005 – REVISED JULY 2006The output capacitor is typically selected by the output load transient response requirement. Equation 2estimates the minimum capacitor to reach the undervoltage requirement with load step up. Equation 3estimates the minimum capacitor for overvoltage requirement with load step down. When VIN(min) < 2×VOUT, the minimum output capacitance can be calculated using Equation 2. Otherwise, Equation 3 isused.when VIN(min) < 2 × VOUTwhen VIN(min) > 2×VOUTIn this design, VIN(min) is much larger than 2 × VOUT, so Equation 3 is used to determine the minimumcapacitance. Based on a 10-A load transient with a maximum of 80-mV deviation, a minimum 833-µFoutput capacitor is required. In the design, four 220-µF, 4-V, SP capacitor are selected to meet thisrequirement. Each capacitor has an ESR of 5 mΩ.Another criterion for capacitor selection is the output ripple voltage. The output ripple is determined mainlyby the capacitance and the ESR.With 880-µF output capacitance, the ripple voltage at the capacitor is calculated to be 863-µV. In thespecification, the output ripple voltage should be less than 30 mV, so based on Equation 4, the requiredmaximum ESR is 9.5 mΩ. The selected capacitors can meet this requirement.The input voltage ripple depends on the input capacitance and the ESR. The minimum capacitor and themaximum ESR can be estimated by:For this design, assume VRIPPLE(CIN) is 100 mV and VRIPPLE(CinESR) is 50 mV, so the calculated minimumcapacitance is 50µF and the maximum ESR is 2.3 mΩ. Choosing four 22-µF, 16-V, 2-mΩ ESR ceramiccapacitors meets this requirement.Another important consideration for the input capacitor is the RMS ripple current rating. The RMS currentin the input capacitor is estimated by:D is the duty cycle. The calculated RMS current is 6.6 A. Each selected ceramic capacitor has a RMScurrent rating of 4.3 A, so it is sufficient to reach this requirement.Submit Documentation FeedbackDESIGN EXAMPLES43

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