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ADP1828YRQZ-R7 データシート(PDF) 22 Page - Analog Devices |
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ADP1828YRQZ-R7 データシート(HTML) 22 Page - Analog Devices |
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22 / 32 page ![]() ADP1828 Rev. 0 | Page 22 of 32 Use the following guidelines for selecting between Type II and Type III compensators: If 2 CO ESRZ f f ≤ , use Type II compensation. If 2 CO ESRZ f f > , use Type III compensation. GAIN FREQUENCY PHASE PHASE CONTRIBUTION AT CROSSOVER OF VARIOUS ESR ZERO CORNERS fSW fCO fESR3 fESR2 fESR1 0dB fLC –40dB/dec –20dB/dec 0° –90° –180° Φ1 Φ2 Φ3 Figure 37. LC Filter Bode Plot The following equations are used for the calculation of the compensation components as shown in Figure 38 and Figure 39: I Z Z1 C R f π = 2 1 (24) ) ( 2 1 FF TOP FF Z2 R R C f + π = (25) HF I HF I Z P1 C C C C R f + π = 2 1 (26) FF FF P2 C R f π = 2 1 (27) where: fZ1 is the zero produced in the Type II compensation. fZ2 is the zero produced in the Type III compensation. fP1 is the pole produced in the Type II compensation. fP2 in the pole produced in the Type III compensation. Type II Compensator fZ fP CHF CI FB RZ RBOT RTOP VOUT INTERNAL VREF EA COMP –1 SLO PE –1 SLO PE PHASE –180° –270° G (dB) Figure 38. Type II Compensation If the output capacitor ESR zero frequency is sufficiently low (≤½ of the crossover frequency), use the ESR to stabilize the regulator. In this case, use the circuit shown in Figure 38. Calculate the compensation resistor, RZ, with the following equation: 2 LC IN CO ESR RAMP TOP Z f V f f V R R = (28) where: fCO is chosen to be 1/10 of fSW. VRAMP is 1.0 V. Next, choose the compensation capacitor to set the compensa- tion zero, fZ1, to the lesser of ¼ of the crossover frequency or ½ of the LC resonant frequency I Z SW CO Z1 C R f f f π = = = 2 1 40 4 (29) or I Z LC Z1 C R f f π = = 2 1 2 (30) Solving for CI in Equation 29 yields SW Z I f R C π = 20 (31) Solving for CI in Equation 30 yields LC Z I f R C π = 1 (32) |
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