SLVSGT5 December 2023 TPS55289-Q1
PRODUCTION DATA
The TPS55289-Q1 uses average current control scheme. The inner current loop uses internal compensation and requires the inductor value must be larger than 1.2/fSW. The outer voltage loop requires an external compensation. The COMP pin is the output of the internal voltage error amplifier. An external compensation network comprised of resistor and ceramic capacitors is connected to the COMP pin.
The TPS55289-Q1 operates in buck mode or boost mode. Therefore, both buck and boost operating modes require loop compensations. The restrictive one of both compensations is selected as the overall compensation from a loop stability point of view. Typically for a converter designed either work in buck mode or boost mode, the boost mode compensation design is more restrictive due to the presence of a right half plane zero (RHPZ).
The power stage in boost mode can be modeled by Equation 19.
where
The power stage has two zeros and one pole generated by the output capacitor and load resistance. Use Equation 20 to Equation 22 to calculate them.
The internal transconductance amplifier together with the compensation network at the COMP pin constitutes the control portion of the loop. The transfer function of the control portion is shown by Equation 23.
where
The total open-loop gain is the product of GPS(s) and GC(s). The next step is to choose the loop crossover frequency, fC, at which the total open-loop gain is 1, namely 0dB. The higher in frequency that the loop gain stays above 0 dB before crossing over, the faster the loop response. It is generally accepted that the loop gain cross over 0dB at the frequency no higher than the lower of either 1/10 of the switching frequency, fSW or 1/5 of the RHPZ frequency, fRHPZ.
Then, set the value of RC, CC, and CP by Equation 24 to Equation 26.
where
If the calculated CP is less than 10pF, it can be left open.
Designing the loop for greater than 45° of phase margin and greater than 10dB gain margin eliminates output voltage ringing during the line and load transient.