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SC2441AEVB Arkusz danych(PDF) 28 Page - Semtech Corporation |
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SC2441AEVB Arkusz danych(HTML) 28 Page - Semtech Corporation |
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28 / 37 page ![]() 28 2006 Semtech Corp. www.semtech.com POWER MANAGEMENT SC2441A 2 b 1 a 1 2 b 1 2 a 1 2 2 b 1 a 1 2 a 1 a 1 2 b 1 b 1 2 b 1 2 a 1 2 b 1 a 1 b 1 a 1 eq ) C C ( C C ) R R ( ) C R C R ( C C ) R R ( R R : ) ( R + + w + + + w + = w where R 1a and C1a are the ESR and capacitance of electrolytic capacitors, and R 1b and C1b are the ESR and capacitance of the ceramic capacitors respectively (Figure 17). C1a R1a C1b R1b Ceq Req Figure 17. Equivalent RC branch. R eq and Ceq are both functions of frequency. For rigorous design, the equivalent ESR should be evaluated at the ripple frequency for voltage ripple calculation when both ceramic and electrolytic capacitors are used. If R 1a = R1b = R 1 and C1a = C1b = C1, then Req and Ceq will be frequency- independent and R eq = 1/2 R1 and Ceq = 2C1. Input Capacitor (C in) in Step-down Sections The input supply to the converter usually comes from a pre-regulator. Since the input supply is not ideal, input capacitors are needed to filter the current pulses at the switching frequency. A simple buck converter is shown in Figure 18. Figure 18. Buck converter input model As shown in Fig. 18, the internal DC input voltage source Applications Information . 3 2 I o d Usually it is necessary to have several capacitors of the same type in parallel to satisfy the ESR requirement. The voltage ripple cause by the capacitor charge/ discharge should be an order of magnitude smaller than the voltage ripple caused by the ESR. To guarantee this, the capacitance should satisfy . R f 2 10 C esr s o p > In many application circuits, several low ESR ceramic capacitors are added in parallel with the aluminum capacitors to further reduce ESR and improve high frequency decoupling. Since the capacitances and the ESR’s of ceramic and aluminum capacitors are different, the following remarks are made to clarify some practical issues. Remark 1: High frequency ceramic capacitors may not carry most of the ripple current. It also depends on the capacitor value. Only when the capacitor value is set properly, the effect of ceramic capacitor low ESR starts to be significant. For example, if a 10 µF, 4mΩ ceramic capacitor is connected in parallel with 2x1500 µF, 90mΩ electrolytic capacitors, the ripple current in the ceramic capacitor is only about 42% of the current in the electrolytic capacitors at the ripple frequency. If a 100 µF, 2mΩ ceramic capacitor is used, the ripple current in the ceramic capacitor will be about 4.2 times of that in the electrolytic capacitors. When two 100 µF, 2mΩ ceramic capacitors are used, the current ratio increases to 8.3. In this case most of the ripple current flows in the ceramic decoupling capacitor. The ESR of the ceramic capacitors will then determine the output ripple-voltage. Remark 2: The total equivalent capacitance of the filter bank is not simply the sum of all the paralleled capacitors. The total equivalent ESR is not simply the parallel combination of all the individual ESR’s either. Instead they should be calculated using the following formulae. ) C C ( C C ) C R C R ( ) C C ( C C ) R R ( : ) ( C b 1 a 1 b 1 a 1 2 b 1 2 b 1 a 1 2 a 1 2 b 1 a 1 2 b 1 2 a 1 2 2 b 1 a 1 eq + + w + + + w + = w |
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