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L5987 Datasheet(PDF) 21 Page - STMicroelectronics |
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L5987 Datasheet(HTML) 21 Page - STMicroelectronics |
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21 / 42 page ![]() L5987 - L5987A Application information 21/42 Figure 9. The error amplifier, the PWM modulation and the LC output filter The transfer function on the LC filter is given by: Equation 17 where: Equation 18 Equation 19 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. 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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