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MAX15053_1107 データシート(PDF) 16 Page - Maxim Integrated Products |
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MAX15053_1107 データシート(HTML) 16 Page - Maxim Integrated Products |
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16 / 21 page  High-Efficiency, 2A, Current-Mode Synchronous, Step-Down Switching Regulator 16 _____________________________________________________________________________________ As previously mentioned, the power modulator’s domi- nant pole is a function of the parallel effects of the load resistance and the current-loop gain’s equivalent imped- ance: ( ) PMOD 1 S OUT LOAD SW 1 f K 1 D 0.5 1 2 C ESR R f L − = × − − π × × + + × And knowing that the ESR is typically much smaller than the parallel combination of the load and the current loop: ( ) 1 S LOAD SW K 1 D 0.5 1 ESR R f L − × − − << + × ( ) PMOD 1 S OUT LOAD SW 1 f K 1 D 0.5 1 2 C R f L − ≈ × − − π × × + × which can be expressed as: ( ) S PMOD OUT LOAD SW OUT K 1 D 0.5 1 f 2 C R 2 f L C × − − ≈ + π × × π × × × Note: Depending on the application’s specifics, the amplitude of the slope compensation ramp could have a significant impact on the modulator’s dominate pole. For low duty-cycle applications, it provides additional damping (phase lag) at/near the crossover frequency (see the Closing the Loop: Designing the Compensation Circuitry section). There is no equivalent effect on the power modulator zero, fZMOD. ZMOD ZESR OUT 1 f f 2 C ESR = = π × × GAIN 1ST ASYMPTOTE R2 × (R1 + R2)-1 × 10AVEA(dB)/20 × gMC × RLOAD × {1 + RLOAD × [KS × (1 - D) - 0.5] × (L × fSW)-1}-1 2ND ASYMPTOTE R2 × (R1 + R2)-1 × gMV × (2GCC)-1 × gMC × RLOAD × {1 + RLOAD × [KS × (1 - D) - 0.5] × (L × fSW)-1}-1 3RD ASYMPTOTE R2 × (R1 + R2)-1 × gMV × (2GCC)-1 × gMC × RLOAD × {1 + RLOAD × [KS × (1 - D) - 0.5] × (L × fSW)-1}-1 × (2GCOUT × {RLOAD-1 + [KS × (1 - D) - 0.5] × (L × fSW)-1}-1)-1 4TH ASYMPTOTE R2 × (R1 + R2)-1 × gMV × RC × gMC × RLOAD × {1 + RLOAD × [KS × (1 - D) - 0.5] × (L × fSW)-1}-1 × (2πCOUT × {RLOAD-1 + [KS × (1 - D) - 0.5] × (L × fSW)-1}-1)-1 5TH ASYMPTOTE R2 × (R1 + R2)-1 × gMV × RC × gMC × RLOAD × {1 + RLOAD × [KS × (1 - D) - 0.5] × (L × fSW)-1}-1 × (2GCOUT × {RLOAD-1 + [KS × (1 - D) - 0.5] × (L × fSW)-1}-1)-1 × (0.5 × fSW)2 × (2Gf)-2 6TH ASYMPTOTE R2 × (R1 + R2)-1 × gMV × RC × gMC × RLOAD × {1 + RLOAD × [KS × (1 - D) - 0.5] × (L × fSW)-1}-1 × ESR × {RLOAD-1 + [KS × (1 - D) - 0.5] × (L × fSW)-1}-1 × (0.5 × fSW)2 × (2Gf)-2 UNITY 1ST POLE [2GCC × (10AVEA(dB)/20 - gMV-1)]-1 2ND POLE fPMOD* 3RD POLE (DBL) 0.5 × fSW 2ND ZERO (2GCOUTESR)-1 FREQUENCY fCO 1ST ZERO (2GCCRC)-1 NOTE: ROUT = 10AVEA(dB)/20 × gMV-1 fPMOD = [2GCOUT × (ESR + {RLOAD-1 + [KS × (1 - D) - 0.5] × (L × fSW)-1}-1)]-1 WHICH FOR ESR << {RLOAD-1 + [KS × (1 - D) - 0.5] × (L × fSW)-1}-1 BECOMES fPMOD = [2GCOUT × {RLOAD-1 + [KS × (1 - D) - 0.5] × (L × fSW)-1}-1]-1 fPMOD = (2GCOUT × RLOAD)-1 + [KS × (1 - D) - 0.5] × (2GCOUT × L × fSW)-1 Figure 3. Asymptotic Loop Response of Current-Mode Regulator |
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