SLVSCM8C May 2015 – February 2019 TPS61088

PRODUCTION DATA.

- 1 Features
- 2 Applications
- 3 Description
- 4 Revision History
- 5 Pin Configuration and Functions
- 6 Specifications
- 7 Detailed Description
- 8 Application and Implementation
- 9 Power Supply Recommendations
- 10Layout
- 11Device and Documentation Support
- 12Mechanical, Packaging, and Orderable Information

- RHL|20

- RHL|20

The TPS61088 requires external compensation, which allows the loop response to be optimized for each application. The COMP pin is the output of the internal error amplifier. An external compensation network comprised of resistor R5, ceramic capacitors C5 and C8 is connected to the COMP pin.

The power stage small signal loop response of constant off time (COT) with peak current control can be modeled by Equation 13.

Equation 13.

where

- D is the switching duty cycle.
- R
_{O}is the output load resistance. - R
_{sense}is the equivalent internal current sense resistor, which is 0.08 Ω.

Equation 14.

where

- C
_{O}is output capacitor.

Equation 15.

where

- R
_{ESR}is the equivalent series resistance of the output capacitor.

Equation 16.

The COMP pin is the output of the internal transconductance amplifier. Equation 17 shows the small signal transfer function of compensation network.

Equation 17.

where

- G
_{EA}is the amplifier’s transconductance - R
_{EA}is the amplifier’s output resistance - V
_{REF}is the reference voltage at the FB pin - V
_{OUT}is the output voltage - ƒ
_{COMP1}, ƒ_{COMP2}are the poles' frequency of the compensation network. - ƒ
_{COMZ}is the zero's frequency of the compensation network.

The next step is to choose the loop crossover frequency, ƒ_{C}. The higher in frequency that the loop gain stays above zero before crossing over, the faster the loop response is. It is generally accepted that the loop gain cross over no higher than the lower of either 1/10 of the switching frequency, ƒ_{SW}, or 1/5 of the RHPZ frequency, ƒ_{RHPZ}.

Then set the value of R5, C5, and C8 (in Figure 12) by following these equations.

Equation 18.

where

- ƒ
_{C}is the selected crossover frequency.

The value of C5 can be set by Equation 19.

Equation 19.

The value of C8 can be set by Equation 20.

Equation 20.

If the calculated value of C8 is less than 10 pF, it can be left open.

Designing the loop for greater than 45° of phase margin and greater than 10-dB gain margin eliminates output voltage ringing during the line and load transient.