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## TPS40140 Datasheet(PDF) 47 Page - Texas Instruments

 Part No. TPS40140 Description DUAL OR 2-PHASE, STACKABLE CONTROLLER Download 65 Pages Scroll/Zoom 100% Manufacturer TI [Texas Instruments] Direct Link http://www.ti.com Logo

## TPS40140 Datasheet(HTML) 47 Page - Texas Instruments

 47 / 65 pagewww.ti.comVCP1OUTOUT1f== 2.36kHz2 × π × C× R(28)ESROUT1f== 176.8kHz2 × π × C× ESR(29)R2R1C2C1+VREF1s × (R1 + R2) × C1 + 1Gc(s) =×R1× C2s × (s × R2 × C1 + 1)(30)Tv(s) = Gc(s) × Gvc(s)(31)p1f == 176.8kHz2 × π × R2 × C1(32)z1f == 6kHz2 × π × (R1 + R2) × C1(33)T v (j × 2 × π × fc) = 1(34)ACM +1R1C2+ 3.978105(35)TPS40140DUAL OR 2-PHASE, STACKABLE CONTROLLERSLUS660A – SEPTEMBER 2005 – REVISED JULY 2006The ESR zero is calculated by:In this design, a Type II compensator is employed to compensate the loop.Figure 6-1. Type II CompensatorThe compensator transfer function is:The loop gain transfer function is:Assume the desired crossover frequency is 60 kHz, then set the compensator zero about 1/10 of thecrossover frequency and the compensator pole equal to the ESR zero. The compensator gain is thencalculated to achieve the desired bandwidth. In this design, the compensator gain, pole and zero areselected as following:From the above equation, the compensator gain is solved as 3.978×105.where• C1 = 2.6 nF• C2 = 250 pF• R2 = 350Ω• Set R1 equal to 10-kΩ, and then calculate all the other componentsIn the real laboratory practice, the final components are selected as following to increase the phasemargin and reduce PWM jitter.• R1 = 10 kΩ• C2 = 330 pF• R2 = 50Ω• C1 = 2.2 nFSubmit Documentation FeedbackDESIGN EXAMPLES47

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