JAJSI75A April 2018 – November 2019 TPS57112C-Q1
PRODUCTION DATA.
Figure 31 is a simple small-signal model that one can use to understand how to design the frequency compensation. A voltage-controlled current source (duty-cycle modulator) supplying current to the output capacitor and load resistor approximates the TPS57112C-Q1 power stage. Equation 10 shows the control-to-output transfer function, which consists of a dc gain, one dominant pole, and one ESR zero. The quotient of the change in switch current and the change in COMP pin voltage (node c in Figure 31) is the power-stage transconductance. The gm for the TPS57112C-Q1 device is 14 S. The low-frequency gain of the power-stage frequency response is the product of the transconductance and the load resistance, as shown in Equation 11. As the load current increases and decreases, the low-frequency gain decreases and increases, respectively. This variation with load may seem problematic at first glance, but the dominant pole moves with load current [see Equation 12]. The dashed line in the right half of Figure 32 highlights the combined effect. As the load current decreases, the gain increases and the pole frequency lowers, keeping the 0-dB crossover frequency the same for the varying load conditions, which makes it easier to design the frequency compensation.