JAJSBF8B June 2011 – April 2018 TPS54478
PRODUCTION DATA.
Figure 31 is a simple small signal model that can be used to understand how to design the frequency compensation without slope compensation effect. The TPS54478 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 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 TPS54478 is 14 A/V. The low frequency gain of the power stage frequency response is the product of the transconductance and the load resistance as shown in Equation 10. 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 11). The combined effect is highlighted by the dashed line in the right half of Figure 32. 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.
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