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MAX16909 Folha de dados(PDF) 15 Page - Maxim Integrated Products |
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MAX16909 Folha de dados(HTML) 15 Page - Maxim Integrated Products |
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15 / 18 page ![]() ���������������������������������������������������������������� Maxim Integrated Products 15 MAX16909 36V, 220kHz to 1MHz Step-Down Converter with Low Operating Current The feedback voltage-divider has a gain of GAINFB = VFB/VOUT, where VFB is 1V (typ). The transconductance error amplifier has a DC gain of GAINEA(DC) = gm,EA x ROUT,EA, where gm,EA is the error- amplifier transconductance, which is 900FS (typ), and ROUT,EA is the output resistance of the error amplifier. A dominant pole (fdpEA) is set by the compensa- tion capacitor (CC) and the amplifier output resistance (ROUT,EA). A zero (fzEA) is set by the compensation resistor (RC) and the compensation capacitor (CC). There is an optional pole (fpEA) set by CF and RC to cancel the output capacitor ESR zero if it occurs near the crossover frequency (fC, where the loop gain equals 1 (0dB)). Thus: dpEA C OUT,EA C 1 f 2 C (R R ) = π × × + zEA C C 1 f 2 C R = π × × pEA F C 1 f 2 C R = π × × The loop-gain crossover frequency (fC) should be set below 1/5th of the switching frequency and much higher than the power-modulator pole (fpMOD): SW pMOD C f f f 5 << ≤ The total loop gain as the product of the modulator gain, the feedback voltage-divider gain, and the error-amplifier gain at fC should be equal to 1. So: FB MOD(fC) EA(fC) OUT V GAIN GAIN 1 V × × = For the case where fzMOD is greater than fC: GAINEA(fC) = gm,EA × RC pMOD MOD(fC) MOD(dc) C f GAIN GAIN f = × Therefore: FB MOD(fC) m,EA C OUT V GAIN g R 1 V × × × = Solving for RC: OUT C m,EA FB MOD(fC) V R g V GAIN = × × Set the error-amplifier compensation zero formed by RC and CC (fzEA) at the fpMOD. Calculate the value of CC a follows: C pMOD C 1 C 2 f R = π × × If fzMOD is less than 5 x fC, add a second capacitor, CF, from COMP to GND and set the compensation pole formed by RC and CF (fpEA) at the fzMOD. Calculate the value of CF as follows: F zMOD C 1 C 2 f R = π × × As the load current decreases, the modulator pole also decreases; however, the modulator gain increases accordingly and the crossover frequency remains the same. For the case where fzMOD is less than fC: The power-modulator gain at fC is: pMOD MOD(fC) MOD(dc) zMOD f GAIN GAIN f = × The error-amplifier gain at fC is: zMOD EA(fC) m,EA C C f GAIN g R f = × × Therefore: zMOD FB MOD(fC) m,EA C OUT C f V GAIN g R 1 V f × × × × = Solving for RC: OUT C C m,EA FB MOD(fC) zMOD V f R g V GAIN f × = × × × Set the error-amplifier compensation zero formed by RC and CC at the fpMOD (fzEA = fpMOD) as follows: C pMOD C 1 C 2 f R = π × × If fzMOD is less than 5 x fC, add a second capacitor CF from COMP to GND. Set fpEA = fzMOD and calculate CF as follows: F zMOD C 1 C 2 f R = π × × |
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