SLVSFN6 December 2020 TPS54622-EP
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 from 60 to 90 degrees. The method presented here ignores the effects of the slope compensation that is internal to the TPS54622-EP. Since the slope compensation is ignored, the actual crossover frequency is usually lower than the crossover frequency used in the calculations.
First, the modulator pole, fpmod, and the ESR zero, fzmod, must be calculated using Equation 31 and Equation 32. For Cout, use a derated value of 75 µF. Use Equation 33 and Equation 34 to estimate a starting point for the closed loop crossover frequency, fco. Then the required compensation components may be derived. For this design example, fpmod is 3.86 kHz and fzmod is 707.4 kHz. Equation 33 is the geometric mean of the modulator pole and the ESR zero and Equation 34 is the geometric mean of the modulator pole and one half the switching frequency. Use a frequency near the lower of these two values as the intended crossover frequency, fco. In this case Equation 33 yields 52.2 kHz and Equation 34 yields 30.4 kHz. The lower value is 30.4 kHz. A slightly higher frequency of 30 kHz is chosen as the intended crossover frequency.
Now the compensation components can be calculated. First calculate the value for R2 which sets the gain of the compensated network at the crossover frequency. Use Equation 35 to determine the value of R2.
Next calculate the value of C3. Together with R2, C3 places a compensation zero at the modulator pole frequency. Equation 36 to determine the value of C3.
Using Equation 35 and Equation 36 the standard values for R4 and C4 are 3.74 kΩ and 0.01 µF.
An additional high-frequency pole can be used if necessary by adding a capacitor in parallel with the series combination of R4 and C4. The pole frequency can be placed at the ESR zero frequency of the output capacitor as given by Equation 8. Use Equation 37 to calculate the required capacitor value for C5.