ZHCSI26C August 2010 – April 2018 TPS54320
PRODUCTION DATA.
Figure 29 is a simple small signal model that can be used to understand how to design the frequency compensation. The device's power stage can be approximated to a voltage controlled current source (duty cycle modulator) supplying current to the output capacitor and load resistor. The control to output transfer function is shown in Equation 9 and consists of a dc gain, one dominant pole, and one equivalent series resistance (ESR) zero. The quotient of the change in switch current and the change in COMP pin voltage (node c in Figure 28) is the power stage transconductance (gmps), which is 12 A/V for the device. The DC gain of the power stage is the product of gmps and the load resistance (RL), as shown in Equation 10 with resistive loads. As the load current increases, the DC gain decreases. This variation with load may seem problematic at first glance, but fortunately the dominant pole moves with load current (see Equation 11). The combined effect is highlighted by the dashed line in Figure 30. 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.
where