SLVSA86D March 2010 – October 2018 TPS54260
PRODUCTION DATA.
There are several methods used to compensate DC - DC regulators. The method presented here is easy to calculate and ignores the effects of the slope compensation that is internal to the device. Since the slope compensation is ignored, the actual crossover frequency will usually be lower than the crossover frequency used in the calculations. This method assumes the crossover frequency is between the modulator pole and the esr zero and the esr zero is at least 10 times greater the modulator pole. 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 41 and Equation 42. For Cout, use a derated value of 40 μF. Use equations Equation 43 and Equation 44, to estimate a starting point for the crossover frequency, fco, to design the compensation. For the example design, fpmod is 1206 Hz and fzmod is 530.5 kHz. Equation 43 is the geometric mean of the modulator pole and the esr zero and Equation 44 is the mean of modulator pole and the switching frequency. Equation 43 yields 25.3 kHz and Equation 44 gives 13.4 kHz. Use the lower value of Equation 43 or Equation 44 for an initial crossover frequency. For this example, a higher fco is desired to improve transient response. the target fco is 35.0 kHz. 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.
To determine the compensation resistor, R4, use Equation 45. Assume the power stage transconductance, gmps, is 10.5S. The output voltage, Vo, reference voltage, VREF, and amplifier transconductance, gmea, are 3.3V, 0.8V and 310 μS, respectively. R4 is calculated to be 20.2 kΩ, use the nearest standard value of 20.0 kΩ. Use Equation 46 to set the compensation zero to the modulator pole frequency. Equation 46 yields 4740 pF for compensating capacitor C5, a 4700-pF is used for this design.
A compensation pole can be implemented if desired using an additional capacitor C8 in parallel with the series combination of R4 and C5. Use the larger value of Equation 47 and Equation 48 to calculate the C8, to set the compensation pole. C8 is not used for this design example.