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LED2001PHR Datasheet(PDF) 23 Page - STMicroelectronics |
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LED2001PHR Datasheet(HTML) 23 Page - STMicroelectronics |
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23 / 42 page ![]() DocID024346 Rev 1 23/42 LED2001 Application information Figure 15. Equivalent circuit The LED ripple current can be calculated as the inductor ripple current ratio flowing into the output impedance using the Laplace transform (see Figure 11): Equation 23 where the term 8/ π2 represents the main harmonic of the inductor current ripple (which has a triangular shape) and ΔI L is the inductor current ripple. Equation 24 so L value can be calculated as: Equation 25 where TOFF is the OFF-time of the embedded high switch, given by 1-D. As a consequence, the lower the inductor value (so the higher the current ripple), the higher the COUT value would be to meet the specification. A general rule to dimension L value is: Equation 26 Finally, the required output capacitor value can be calculated equalizing the LED current ripple specification with the module of the Fourier transformer (see Equation 23) calculated at fSW frequency. I RIPPLE s () Δ 8 π 2 ------ ΔI L 1 s ESR C OUT ⋅⋅ + () ⋅⋅ 1s R S ESR n LED R LED ⋅ ++ () C OUT ⋅⋅ + ----------------------------------------------------------------------------------------------------------- = ΔI L V OUT L -------------- T OFF ⋅ n LED V FW_LED 100mV + ⋅ L ------------------------------------------------------------------ T OFF ⋅ == L n LED V FW_LED 100mV + ⋅ ΔI L ------------------------------------------------------------------ TOFF ⋅ n LED V FW_LED 100mV + ⋅ ΔI L ------------------------------------------------------------------ 1 n LED V FW_LED 100mV + ⋅ V IN ------------------------------------------------------------------ – ⋅ == ΔI L I LED ----------- 0.5 ≤ |
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