SNVSCF0 October 2024 LM65680-Q1
ADVANCE INFORMATION
The value of the CFF capacitor is calculated so that the resulting phase margin of the overall system is improved. The addition of the CFF capacitor does not change the response of the system at the DC level or at lower frequencies. At higher frequencies, the capacitor helps reduce the impedance from VOUT to FB. This action helps propagate any high frequency change due to a fast load transient at the output to the feedback, and allows the error amplifier to correct for this.
In the frequency domain, the addition of the CFF capacitor creates an additional zero and a pole. The zero is caused by the interaction of CFF with the upper feedback resistor RFBT. This action helps increase the gain by 20dB/decade and gives the necessary phase boost. The zero frequency is given in Equation 39:
The pole is caused by the interaction of CFF with the parallel combination of the upper feedback resistors RFBT and the lower feedback resistor RFBB. The pole decreases the gain by 20dB/dec, and helps to roll off the gain after the system crossover. Gain margin is also increased. The pole frequency is given in Equation 32:
From Equation 39 and Equation 32, if the CFF increases, the zero moves to lower frequencies. The pole also moves to lower frequencies, and if the value of CFF is not optimized, the actions of the zero and the pole nearly cancel each other out. This event is exacerbated at relatively lower outputs, where the pole and zero frequencies are very close. To obtain the best performance from the CFF capacitor, the value of CFF must be optimized.
The CFF capacitor optimization relies on the idea that if the zero and pole frequencies are aligned so that the system crossover frequency without the use of CFF (fNO_CFF) is exactly between the pole and zero frequencies caused by the CFF, then the most optimum phase boost is obtained at the crossover frequency. The CFF pole follows after the crossover frequency and assists the gain roll off for better gain margin. The equation is as follows:
Substituting Equation 39 and Equation 32 into Equation 33 results in Equation 34, which is now a function of RFBT, RFBB, and fNO_CFF.
Where,