SLVSET0E May 2020 – October 2024 TPS61378-Q1
PRODUCTION DATA
With the small signal models coming out, the next step is to calculate the compensation network parameters with the given inductor and output capacitance.
The first step is to set the loop crossover frequency, ƒC. The higher the crossover frequency, the faster the loop response is. It is generally accepted that the loop gain crosses over no higher than the lower of either 1/10 of the switching frequency, ƒSW, or 1/5 of the RHPZ frequency, ƒRHPZ. Then, calculate the loop compensation network values of RC, CC, and CP by the following equations.
By placing ƒZ below ƒC, for frequencies above ƒC, RC | | REA ~ = RC, so RC × GEA sets the compensation gain. Setting the compensation gain, KCOMP-dB, at ƒZ results in the total loop gain, T(s) = KPS(s) × HEA(s), being zero at ƒC.
Therefore, to approximate a single-pole rolloff up to fP2, rearrange Equation 20 to solve for RC so that the compensation gain, KEA, at fC is the negative of the gain, KPS. Read at frequency fC for the power stage bode plot or more simply:
where
Place the compensation zero at the power stage ROUT ,COUT pole’s position to get:
Place the compensation pole at the zero produced by RESR and COUT. It is useful for canceling unhelpful effects of the ESR zero.
Set ƒP2 = ƒESR, and get: