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ST1CC40 Datasheet(PDF) 21 Page - STMicroelectronics |
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ST1CC40 Datasheet(HTML) 21 Page - STMicroelectronics |
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21 / 37 page ![]() DocID18279 Rev 5 21/37 ST1CC40 Application information 37 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 19 where the term 8/ 2 represents the main harmonic of the inductor current ripple (which has a triangular shape) and IL is the inductor current ripple. Equation 20 so L value can be calculated as: Equation 21 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 specifications. A general rule to dimension L value is: Equation 22 Finally the required output capacitor value can be calculated equalizing the LED current ripple specification with the module of the Fourier transformer (see Equation 19) calculated at FSW frequency. Equation 23 Example (see Section : Example): VIN = 12 V, ILED = 700 mA, ILED/ILED = 2%, VFW_LED = 3.5 V, nLED = 2 The output capacitor value must be dimensioned according to Equation 23. Finally, given the selected inductor value, a 2.2 µF ceramic capacitor value keeps the LED current ripple ratio lower than 2% of the nominal current. An output ceramic capacitor type (negligible ESR) is suggested to minimize the ripple contribution given a fixed capacitor value. IRIPPLE s 8 2 ------ I L 1 s ESR COUT + 1s RS ESR nLED RLED ++ C OUT + ----------------------------------------------------------------------------------------------------------- = I L VOUT L -------------- TOFF nLED VFW_LED 100mV + L ------------------------------------------------------------------ TOFF == L nLED VFW_LED 100mV + I L ------------------------------------------------------------------ TOFF nLED VFW_LED 100mV + I L ------------------------------------------------------------------ 1 nLED VFW_LED 100mV + VIN ------------------------------------------------------------------ – == I L ILED ----------- 0,5 IRIPPLE s=j IRIPPLE_SPEC = |
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