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AN4501 数据表(PDF) 21 Page - STMicroelectronics |
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AN4501 数据表(HTML) 21 Page - STMicroelectronics |
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21 / 48 page  DocID026394 Rev 1 21/48 AN4501 Selection of the inductor 47 Equation 10: Using the expression of IL,PP from Equation 5 gives: Equation 11: As we will see, in most of the cases, the variation of IL,PEAK with the duty cycle is dictated by the term IOUT/(1 - D) if the IL,PP is lower than IL. Therefore, in general IL,PEAK MAX is reached at the DMAX (and VINMIN). This property can be verified by calculating the derived function of IL,PEAK: Equation 12: In general the ratio between the inductor current peak-to-peak current and the inductor average current is kept below 1. Therefore: Equation 13: Therefore: Under these conditions, therefore the peak current is a monotonically increasing function which reaches its maximum at DMAX (and VIN,MIN): Equation 14: I L,PEAK I L I LPP , 2 -------------- + = I L,PEAK I OUT 1D – ------------- V OUT D1 D – () × × 2L F SW ×η × × --------------------------------------------------- + = dI L,PEAK dD ----------------------- I OU T 1D – () 2 --------------------- V OUT 12D – () × 2L F SW ×η × -------------------------------------------- + = V OU T D1 D – () × × LF SW ×η × --------------------------------------------------- I OU T 1D – ------------- ≤ V OUT D × LF SW ×η × -------------------------------- I OUT 1D – () 2 --------------------- ≤ dI L,PEAK dD ----------------------- I OU T 1D – () 2 --------------------- V OU T D × LF SW ×η × -------------------------------- – V OUT 2L F SW × ×η × ----------------------------------------- V OU T 2LF SW × ×η × ----------------------------------------- ≥ + = dI L,PEAK dD ----------------------- 0 > I L,PEAK,MAX I OU T 1D MAX – ------------------------- V OU T D MAX 1D MAX – () × × 2L F SW ×η × × --------------------------------------------------------------------------- + = |
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