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L5986ATR Datasheet(PDF) 18 Page - STMicroelectronics |
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L5986ATR Datasheet(HTML) 18 Page - STMicroelectronics |
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18 / 39 page ![]() Application information L5986 - L5986A 18/39 Figure 8. The error amplifier, the PWM modulation and the LC output filter The transfer function on the LC filter is given by: Equation 13 where: Equation 14 Equation 15 As seen in Chapter 5.3 two different kind of network can compensate the loop. In the two following paragraph the guidelines to select the Type II and Type III compensation network are illustrated. 6.4.1 Type III compensation network The methodology to stabilize the loop consists of placing two zeros to compensate the effect of the LC double pole, so increasing phase margin; then to place one pole in the origin to FB COMP V REF E/A PWM V S OUT V CC C OUT ESR L G PW0 G LC FB COMP V REF E/A PWM V S OUT V CC C OUT ESR L G PW0 G LC G LC s () 1 s 2 π f zESR ⋅ -------------------------- + 1 s 2 π Qf ⋅ LC ⋅ ---------------------------- s 2 π f LC ⋅ ------------------- ⎝⎠ ⎛⎞ 2 ++ ------------------------------------------------------------------------- = f LC 1 2 π LC OUT ⋅ 1 ESR R OUT --------------- + ⋅⋅ ------------------------------------------------------------------------ = f zESR 1 2 π ESR C OUT ⋅⋅ -------------------------------------------- = , Q R OUT LC OUT R OUT ESR + () ⋅⋅ ⋅ LC OUT R OUT ESR ⋅⋅ + ------------------------------------------------------------------------------------------ R OUT V OUT I OUT -------------- = , = |
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