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## TPS65321A-Q1 Datasheet(PDF) 17 Page - Texas Instruments

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 Part # TPS65321A-Q1 Description 36-V Step-Down Converter With Eco-mode and LDO Regulator Download 43 Pages Scroll/Zoom 100% Manufacturer TI1 [Texas Instruments] Direct Link http://www.ti.com Logo

## TPS65321A-Q1 Datasheet(HTML) 17 Page - Texas Instruments

 17 / 43 pageVOVref = 0.8 VCOMPFB1ErrorAmplifiergmea310 µA/V+±SWPower Stagegmps = 10.5 A/VcR3RO_eaR1R1RESRRLabC2C1CO_eaCO17TPS65321A-Q1www.ti.comSLVSE55 – NOVEMBER 2017Product Folder Links: TPS65321A-Q1Submit Documentation FeedbackCopyright © 2017, Texas Instruments IncorporatedFeature Description (continued)Figure 11. Small-Signal Model for Loop Response7.3.1.17 Simple Small-Signal Model for Peak-Current Mode ControlFigure 12 shows a simple small-signal model that can be used to understand how to design the frequencycompensation. A voltage-controlled current source (duty cycle modulator) supplying current to the outputcapacitor and load resistor can approximate the TPS65321A-Q1 buck regulator power stage. Equation 6 showsthe control-to-output transfer function, which consists of a DC gain, one dominant pole, and one ESR zero. Thequotient of the change in switch current divided by the change in COMP pin voltage (node c in Figure 11) is thepower-stage transconductance. The gmps for the TPS65321A-Q1 buck regulator power-stage is 10.5 A/V. UseEquation 7 to calculate the low-frequency gain of the power stage which is the product of the transconductanceand the load resistance.As the load current increases and decreases, the low-frequency gain decreases and increases, respectively. Thisvariation with the load seems problematic at first, but the dominant pole moves with the load current (seeEquation 8). The dashed line in the right half of Figure 12 highlights the combined effect. As the load currentdecreases, the gain increases and the pole frequency lowers, keeping the 0-dB crossover frequency the samefor the varying load conditions, which makes designing the frequency compensation easier. The type of outputcapacitor chosen determines whether the ESR zero has a profound effect on the frequency compensationdesign. Using high-ESR aluminum-electrolytic capacitors can reduce the number of frequency-compensationcomponents required to stabilize the overall loop because the phase margin increases from the ESR zero at thelower frequencies (see Equation 9).

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