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SC411 датащи(PDF) 15 Page - Semtech Corporation |
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SC411 датащи(HTML) 15 Page - Semtech Corporation |
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15 / 27 page ![]() 15 © 2007 Semtech Corp. www.semtech.com SC411 POWER MANAGEMENT Where TOL TR is the transient tolerance. For our example: POSLIM TR = 1.296V The minimum output capacitance is calculated as follows: This calculation assumes the absolute worst case condi- tion of a full-load to no load step transient occurring when the inductor current is at its highest. The capacitance required for smaller transient steps may be calculated by substituting the desired current for the I OUT term. For our example: C OUT(MIN) = 626μF. We will select 440μF, using two 220μF, 25mΩ capacitors in parallel. For smaller load release overshoot, 660μF may be used. Alternatively, one 15mΩ or 12mΩ, 220μF, 330μF or 470μF capacitor may be used (with the appro- priate change to the calculation for C TOP), depending upon the load transient requirements. Next we calculate the RMS input ripple current, which is largest at the minimum battery voltage: () RMS MIN _ BAT OUT OUT ) MIN ( BAT OUT ) RMS ( IN A V I V V V I • − • = For our example: I IN(RMS) = 2.14ARMS Input capacitors should be selected with sufficient ripple current rating for this RMS current, for example a 10μF, 1210 size, 25V ceramic capacitor can handle approxi- mately 3A RMS. Refer to manufacturer’s data sheets and derate appropriately. Finally, we calculate the current limit resistor value. As described in the current limit section, the current limit looks at the “valley current”, which is the average output current minus half the ripple current. We use the maxi- mum room temperature specification for MOSFET R DS(ON) at V GS = 4.5V for purposes of this calculation: The ripple at low battery voltage is used because we want to make sure that current limit does not occur under nor- mal operating conditions. For our example: I VALLEY = 5.13A, RDS(ON) = 9mΩ and RILIM = 7.76kΩ We select the next lowest 1% resistor value: 7.68kΩ Thermal Considerations The junction temperature of the device may be calculated as follows: Where: T A = ambient temperature (°C) P D = power dissipation in (W) θ JA = thermal impedance junction to ambient from absolute maximum ratings (°C/W) The power dissipation may be calculated as follows: Where: VCCA = chip supply voltage (V) I VCCA = operating current (A) VDDP = gate drive supply voltage (V) Application Information (Cont.) CCOUT(MIN) = L F IRIPPLE_VBAT(MAX) IOUT + 2 POSLIMTR2 VOUT_ST_POS2 2 A 2 I I I ) MIN ( VBAT _ RIPPLE OUT VALLEY − = () Ohms 10 10 4 . 1 R 2 . 1 I R 6 ) ON ( DS VALLEY ILIM − • • • • = C P T T JA D A J ° θ • + = W D mA 1 VBST f Q V I VDDP I VCCA P g g VDDP VCCA D • • + • • + • + • = |
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