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SC2441AEVB датащи(PDF) 34 Page - Semtech Corporation |
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SC2441AEVB датащи(HTML) 34 Page - Semtech Corporation |
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34 / 37 page ![]() 34 2006 Semtech Corp. www.semtech.com POWER MANAGEMENT SC2441A P 2 is a pole for suppressing high-frequency switching noise. So P 2 >> Z2. To simplify design, one usually assumes that C 3<<C2, Roesr<<Ro, Sp1=Sz2 and specifies the loop crossover frequency f c. The loop crossover frequency determines the converter dynamic response. With these assumptions, the controller parameters are determined as follows , f 2 hkR g C c o m 2 p = 2 o o 2 C C R R = and . R C R C 2 o oesr 3 = For example, if V in=3.3V, Vo=1.2V, Io=4A, fs=500kHz, C o=390µF, Roesr=16mΩ, one can calculate that , m 300 I V R o o o W = = 42 . 0 V 5 . 0 h o = = and . 60 . 2 V I k c o = D D = If the converter crossover frequency is set around 1/10 of the switching frequency, f c=50kHz, the controller parameters then can be calculated. , nF 326 . 0 f 2 hkR g C c o m 2 » p = use C 2=0.33nF. , k 5 . 354 C C R R 2 o o 2 W » = use R 2=357kΩ. It is further calculated that , pF 48 . 17 R C R C 2 o oesr 3 » = use C 3=22pF. The Bode plots of the loop transfer function (magnitude and phase) are shown in Fig. 25. Applications Information function from the voltage error amplifier output v c to the converter output v o can be derived from Figure 24. , s s 1 s s 1 kR ) s ( G : ) s ( V ) s ( V 1 p 1 z o vc c o + + = = where the single dominant-pole is o oesr o 1 p C ) R R ( 1 s + = and the zero associated with the output capacitor ESR is . C R 1 s o oesr 1 z = The dominant-pole changes with the converter output load. The controller transfer function (from the converter output v o to the voltage error amplifier output vc) is , s s 1 s s 1 ) C C ( s h g ) s ( C 2 p 2 z 3 2 m + + + = where 2 2 2 z C R 1 s = and . C C C C R 1 s 3 2 3 2 2 2 p + = The loop transfer function is then T(s)=G vc(s)C(s). |
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