6.3.2.11 Loop Compensation
The integrated buck DCDC converter in TPS65286 incorporates a peak current mode. The error amplifier is a trans-conductance amplifier with a gain of 1000 µA/V. A typical type II compensation circuit adequately delivers a phase margin between 60° and 90°. Cb adds a high frequency pole to attenuate high frequency noise when needed. To calculate the external compensation components, follow these steps:
- Select switching frequency, fSW, that is appropriate for application depending on L and C sizes, output ripple, and EMI. Switching frequency between 500 kHz to 1 MHz gives the best trade off between performance and cost. To optimize efficiency, lower switching frequency is desired.
- Set up cross over frequency, fc, which is typically between 1/5 and 1/20 of fSW.
- RC can be determined by:
Equation 7.
where gM is the error amplifier gain (1000 µA/V), gmps is the power stage voltage to current conversion gain (10 A/V).
- Calculate CC by placing a compensation zero at or before the dominant pole (fp = 1 / CO x RL x 2π).
Equation 8.
- Optional Cb can be used to cancel the zero from the ESR associated with CO.
Equation 9.
- Type III compensation can be implemented with the addition of one capacitor, C1. This allows for slightly higher loop bandwidths and higher phase margins. If used, C1 is calculated from Equation 10.
Equation 10.