SLVS500D DECEMBER 2003 – June 2019 TPS54110
PRODUCTION DATA.
Refer to the PDF data sheet for device specific package drawings
The external compensation used with the TPS54110 allows for a wide range of output-filter configurations. A large range of capacitor values and dielectric types are supported. The design example uses type 3 compensation consisting of R1, R3, R5, C6, C7 and C8. Additionally, R2 and R1 form a voltage-divider network that sets the output voltage. These component reference designators are the same as those used in the SWIFT Designer Software.
There are a number of different ways to design a compensation network. This procedure outlines a relatively simple procedure that produces good results with most output filter combinations. Use the SWIFT Designer Software for designs with unusually high closed-loop crossover frequencies; with low-value, low-ESR output capacitors such as ceramics; or if you are unsure about the design procedure.
A number of considerations apply when designing compensation networks for the TPS54110. The compensated error-amplifier gain must not be limited by the open-loop amplifier gain characteristics and must not produce excessive gain at the switching frequency. Also, the closed-loop crossover frequency must be set less than one fifth of the switching frequency, and the phase margin at crossover must be greater than 45 degrees. The general procedure outlined here meets these requirements without going into great detail about the theory of loop compensation.
First, calculate the output filter LC corner frequency using Equation 13:
For the design example, ƒLC = 6103 Hz.
Choose a closed-loop crossover frequency greater than fLC and less than one fifth of the switching frequency. Also, keep the crossover frequency below 100 kHz, as the error amplifier may not provide the desired gain at higher frequencies. The 60-kHz crossover frequency chosen for this design provides comparatively wide loop bandwidth while still allowing adequate phase boost to ensure stability.
Next, the values for the compensation components that set the poles and zeros of the compensation network are calculated. Assuming an R1 value > than R5 and a C6 value > C7, the pole and zero locations are given by Equation 14 through Equation 17:
Additionally there is a pole at the origin, which has unity gain at a frequency:
This pole is used to set the overall gain of the compensated error amplifier and determines the closed loop crossover frequency. Since R1 is given as 10 kΩ and the crossover frequency is selected as 60 kHz, the desired fINT is calculated from Equation 19:
And the value for C6 is given by Equation 20:
Since C6 is calculated to be 2900 pF, and the location of the integrator crossover frequency is important in setting the overall loop crossover, adjust the value of R1 so that C6 is a standard value of 2700 pF, using Equation 21:
The value for R1 is 10.7 KΩ
The first zero, fZ1 is located at one half the output filter LC corner frequency, so R3 is calculated from:
The second zero, fZ2 is located at the output filter LC corner frequency, so C8 is calculated from:
The first pole, fP1 is located to coincide with output filter ESR zero frequency. This frequency is given by:
where
In this case, the ESR zero frequency is 35.4 kHz, and R5 is calculated from:
The final pole is placed at a frequency high enough above the closed-loop crossover frequency to avoid causing an excessive phase decrease at the crossover frequency while still providing enough attenuation so that there is little or no gain at the switching frequency. The fP2 pole location for this circuit is set to 4 times the closed-loop crossover frequency and the last compensation component value C7 is derived:
Finally, calculate the R2 resistor value for the output voltage of 3.3 V using Equation 27:
For this TPS54110 design, use R1 = 10.7 kΩ instead of 10.0 kΩ. R2 is then 3.92 kΩ.
Since capacitors are only available in a limited range of standard values, the nearest standard value was chosen for each capacitor. The measured closed-loop response for this design is shown in Figure 18.