SLVSAE9F November 2010 – May 2019 TPS54618
PRODUCTION DATA.
There are several industry techniques used to compensate DC–DC regulators. The method presented here is easy to calculate and yields high phase margins. For most conditions, the regulator has a phase margin between 60 and 90 degrees. The method presented here ignores the effects of the slope compensation that is internal to the TPS54618. Because the slope compensation is ignored, the actual cross over frequency is usually lower than the cross over frequency used in the calculations. Use SwitcherPro software for a more accurate design.
To get started, the modulator pole, fpmod, and the esr zero, fz1 must be calculated using Equation 36 and Equation 37. For COUT, the derated capacitance value is 82.5 µF. Use Equation 38 and Equation 39 to estimate a starting point for the crossover frequency, fc. For the example design, fpmod is 6.43 kHz and fzmod is 643 kHz. Equation 38 is the geometric mean of the modulator pole and the esr zero and Equation 39 is the mean of modulator pole and the switching frequency. Equation 38 yields 64.3 kHz and Equation 39 gives 56.7 kHz. The lower value of Equation 38 or Equation 39 is the maximum recommended crossover frequency. For this example, a lower fc value of 40 kHz is specified. Next, the compensation components are calculated. A resistor in series with a capacitor is used to create a compensating zero. A capacitor in parallel to these two components forms the compensating pole (if needed).
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The compensation design takes the following steps:
From the previously listed procedures, the compensation network includes a 7.50-kΩ resistor and a
3300-pF capacitor.