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SC2620 датащи(PDF) 18 Page - Semtech Corporation |
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SC2620 датащи(HTML) 18 Page - Semtech Corporation |
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18 / 26 page ![]() 18 2006 Semtech Corp. www.semtech.com SC2620 POWER MANAGEMENT Applications Information If C 1 is ceramic, then its ESR zero can be neglected as it situates well beyond half the switching frequency. The low frequency gain of the control-to-output transfer function is simply the product of power stage transconductance and the equivalent load resistance (Figure 12). The transfer functions of the feedback network and the error amplifier are: () + + + = 11 2 1 1 11 2 1 2 OUT FB C R R s 1 R sC 1 R R R v v (9) and () () ( ) 5 6 O 5 5 5 O MA FB COMP R sC 1 R sC 1 R sC 1 R G v v + ⋅ + + ≈ (10) provided that 6 5 C C >> and 5 O R R >> . In Equation (10), C 5 forms a low frequency pole p1 with the output resistance R O of the error amplifier and C6 forms a high frequency pole p 3 with R5: Ω = Ω µ = = − M 6 . 1 280 dB 53 ce tan c Transcondu Gain Loop Open Amplifier R 1 O 5 O 1 p C R 1 − = ω 6 5 3 p C R 1 − = ω In addition C 5 and R5 form a zero with angular frequency: 5 5 1 Z C R 1 − = ω The output-to-control transfer function OUT FB FB COMP OUT COMP v v v v v v ⋅ = is also shown in Figure 12. Its mid- band gain (between z 1 and p3) is + 2 1 2 5 MA R R R R G . The overall loop gain T(s) is the product of the control-to-output and the output-to-control transfer functions. To simplify ) j ( T ω Bode plot, the feedback network is assumed to be resistive. If the overall loop gain is to cross 0dB at one tenth of the switching frequency ( 5 f 10 S C π = ω = ω ) at –20dB/ decade, then its mid-band gain (between z 1 and p2) will be n 10 R C R C n 10 OUT 1 S OUT 1 S 2 p C ω = ω = ω ω POWER STAGE GMP = 8 Ω REFERENCE VOLTAGE 1V + - R5 C5 C6 RO R2 R1 FB C11 ESR C1 ROUT VOUT VIN I OUT -1 GMA = 280 µΩ -1 COMP V 1.6M Ω Figure 11. Simplified Control Loop Equivalent Circuit |
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