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TPS40140RHHT Datasheet(PDF) 45 Page - Texas Instruments |
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TPS40140RHHT Datasheet(HTML) 45 Page - Texas Instruments |
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45 / 68 page  CM 1 A 400 R1 C2 = = ´ T v (j × 2 × π × fc) = 1 z 1 f = = 5.91kHz 2 × π × (R1+ R2) × C1 p 1 f = = 174.9 kHz 2 × π × R2 × C1 Tv(s) = Gc(s) × Gvc(s) 1 s × (R1+ R2) × C1+ 1 Gc(s) = × R1× C2 s × (s × R2 × C1+ 1) R2 R1 C2 C1 + VREF ESR OUT 1 f = = 144.7 kHz 2 × π × C × ESR ) VCP1 OUT OUT 1 f = = 2.36 kHz 2 × π × C × (ESR +R S OUT RAMP IN OUT OUT RAMP t t V V DCR Ac t L ln V V 2 V V DCR Ac DCR Ac t L L = æ ö æ ö æ ö æ ö - ´ ´ ç ÷ ç ÷ ç ÷ ç ÷ è ø è ø ç ÷ è ø ç ÷ - ´ æ ö æ ö ç ÷ - ´ ´ - ´ ´ ç ÷ ç ÷ ç ÷ è ø è ø è ø TPS40140 www.ti.com SLUS660I – SEPTEMBER 2005 – REVISED JANUARY 2015 (47) The low-frequency pole is calculated by: (48) The ESR zero is calculated by: (49) In this design, a Type II compensator is employed to compensate the loop. Figure 41. Type II Compensator The compensator transfer function is: (50) The loop gain transfer function is: (51) Assume the desired crossover frequency is 60 kHz, then set the compensator zero about 1/10 of the crossover frequency and the compensator pole equal to the ESR zero. The compensator gain is then calculated to achieve the desired bandwidth. In this design, the compensator gain, pole and zero are selected as following: (52) (53) (54) The compensator gain is solved as 400. where • C1 = 2.6 nF • C2 = 250 pF • R2 = 350 Ω • Set R1 equal to 10-k Ω, and then calculate all the other components (55) Copyright © 2005–2015, Texas Instruments Incorporated Submit Documentation Feedback 45 Product Folder Links: TPS40140 |
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