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AN4501 数据表(PDF) 31 Page - STMicroelectronics |
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AN4501 数据表(HTML) 31 Page - STMicroelectronics |
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31 / 48 page ![]() DocID026394 Rev 1 31/48 AN4501 Selection of the input capacitor 47 The substitution tON + tOFF by 1/FSW gives: Equation 23: Figure 14. Current waveforms of the input capacitor for a boost converter in CCM Similarly to IL,PP, VCIN,PP reaches its maximum when the duty cycle is 50%. 7.1.2 Contribution of the capacitor ESR to the input voltage ripple As the peak-to-peak current ripple of the input capacitor is equal to IL,PP, the input voltage ripple caused by the ESRCIN is given by: Here again, the worst case corresponds to a duty cycle of 50%. Therefore: 7.2 Maximum input voltage ripple The max input voltage ripple is the sum of ΔVCIN,MAX and ΔVESR,CIN,MAX: Equation 24: i CI N t d t ON 2 --------- t ON t OFF + 2 ---------------------------- 1 2 --- I LPP , 2 -------------- t ON t OFF + 2 ----------------------------- × × = V CIN PP , I LPP , 8F SW × C IN × -------------------------------------- = V ESR,CIN,PP ESR CIN I LPP , × = V ESR,CIN,PP,MAX ESR CIN I LPP MAX , , × = V IN,PP,MAX I L,PP,MAX 8F SW × C IN × -------------------------------------- ESR CIN I LPP MAX , , × + = |
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