ZHCSAK8J December 2003 – June 2022 TPS40054 , TPS40055 , TPS40057
PRODUCTION DATA
The output capacitance depends on the output ripple voltage requirement, output ripple current, as well as any output voltage deviation requirement during a load transient.
The output ripple voltage is a function of both the output capacitance and capacitor ESR. The worst-case output ripple is described in Equation 25.
where
The output ripple voltage is typically between 90% and 95% due to the ESR component.
The output capacitance requirement typically increases in the presence of a load transient requirement. During a step load, the output capacitance must provide energy to the load (light to heavy load step) or absorb excess inductor energy (heavy to light load step) while maintaining the output voltage within acceptable limits. The amount of capacitance depends on the magnitude of the load step, the speed of the loop, and the size of the inductor.
Stepping the load from a heavy load to a light load results in an output overshoot. Excess energy stored in the inductor must be absorbed by the output capacitance. The energy stored in the inductor is described in Equation 26.
where
Energy in the capacitor is described in Equation 28.
where
where
Substituting Equation 27 into Equation 26, then substituting Equation 29 into Equation 28, then setting Equation 28 equal to Equation 26, and then solving for CO yields the capacitance described in Equation 30.