7.3.19 Small Signal Model for Frequency Compensation

The device uses a transconductance amplifier for the error amplifier and readily supports two of the commonly used Type II compensation circuits and a Type III frequency compensation circuit, as shown in Figure 31. In Type 2A, one additional high-frequency pole, C6, is added to attenuate high frequency noise. In Type III, one additional capacitor, C11, is added to provide a phase boost at the crossover frequency. See Designing Type III Compensation for Current Mode Step-Down Converters (SLVA352) for a complete explanation of Type III compensation.

The design guidelines below are provided for advanced users who prefer to compensate using the general method. The following equations only apply to designs which have ESR zero above the bandwidth of the control loop. This is usually true with ceramic output capacitors.

The general design guidelines for device loop compensation are as follows:

1. Determine the crossover frequency, ƒ_c. A good starting point is 1/10 of the switching frequency, ƒsw.
2. R4 can be determined by:
Equation 13.
where
• gm_ea is the GM amplifier gain (1300 μA/V).
• gm_ps is the power stage gain (12 A/V).
• Vref is the reference voltage (0.8 V).
3. Place a compensation zero at the dominant pole:
   C4 can be determined by:
Equation 14.
4. C6 is optional. It can be used to cancel the zero from the ESR of the output capacitor, C_O.
Equation 15.
5. Type III compensation can be implemented with the addition of one capacitor, C11. This allows for slightly higher loop bandwidths and higher phase margins. If used, C11 is calculated from Equation 16.
Equation 16.