ZHCSCA8A March 2014 – April 2019 TPS65286
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°. The method presented here ignores the effects of the slope compensation that is internal to the TPS65286. Since 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.
First, the modulator pole, fpmod, and the esr zero, fzmod must be calculated using Equation 23 and Equation 24. For Cout, use a derated value of 22.4 μF. Use Equation 25 and Equation 26 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 12.9 kHz and fzmod is 2730 kHz. Equation 23 is the geometric mean of the modulator pole and the ESR zero and Equation 24 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 23 yields 175 kHz and Equation 24 yields 55.7 kHz. The lower value is 55.7 kHz. A slightly higher frequency of 60.5 kHz is chosen as the intended crossover frequency.
Now the compensation components can be calculated. First calculate the value for Rc which sets the gain of the compensated network at the crossover frequency. Use Equation 27 to determine the value of RC.
Next calculate the value of CC. Together with RC, CC places a compensation zero at the modulator pole frequency. Equation 28 to determine the value of C3.
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 24. Use Equation 29 to calculate the required capacitor value for Cb.