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MAX20002CATPA/V+ датащи(PDF) 16 Page - Maxim Integrated Products |
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MAX20002CATPA/V+ датащи(HTML) 16 Page - Maxim Integrated Products |
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16 / 19 page ![]() A dominant pole (fdpEA) is set by the compensation 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: zEA CC 1 f 2C R = π× × pdEA C OUT,EA C 1 f 2 C (R R ) = π× × + pEA F C 1 f 2C R = π× × The loop-gain crossover frequency (fC) should be set below 1/10 of the switching frequency and much higher than the power-modulator pole (fpMOD) SW pMOD C f ff 10 << ≤ 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: EA(fC) m,EA C GAIN g R = × 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 2f 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 2f 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 Vf R g V GAIN f × = ×× × Set the error-amplifier compensation zero formed by RC and CC at the fpMOD (fzEA = fpMOD). C pMOD C 1 C 2f R = π× × If fzMOD is less than 5 × fC, add a second capacitor CF from COMP to ground. Set fpEA = fzMOD and calculate CF as follows: F zMOD C 1 C 2f R = π× × It is always recommended to verify the loop stability and the calculated compensation network components using the bode plot analyzer. Then adjust the compensation network components as needed to the desired crossover frequency and gain/phase margins. www.maximintegrated.com Maxim Integrated │ 16 MAX20002/MAX20003 36V, 220kHz to 2.2MHz, 2A/3A Fully Integrated Step-Down Converters with 15μA Operating Current |
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