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APW7158 Datasheet(PDF) 16 Page - Anpec Electronics Coropration |
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APW7158 Datasheet(HTML) 16 Page - Anpec Electronics Coropration |
16 / 24 page Copyright © ANPEC Electronics Corp. Rev. A.2 - Aug., 2009 APW7158 www.anpec.com.tw 16 Application Information PWM Compensation The output LC filter of a step down converter introduces a double pole, which contributes with –40dB/decade gain slope and 180 degrees phase shift in the control loop. A compensation network between V COMP, VFB and VOUT should be added. The compensation network is shown in Fig. 8. The out- put LC filter consists of the output inductor and output capacitors. The transfer function of the LC filter is given by: 1 C ESR s C L s C ESR s 1 GAIN OUT OUT 2 OUT LC + × × + × × × × + = The poles and zero of this transfer function are: OUT LC C L 2 1 F × × π × = OUT ESR C ESR 2 1 F × × π × = The FLC is the double poles of the LC filter, and FESR is the zero introduced by the ESR of the output capacitor. V PHASE VOUT L COUT ESR Figure 5. The Output LC Filter Gain FESR FLC Frequency -40dB/dec -20dB/dec Figure 6. The LC Filter Gain & Frequency The PWM modulator is shown in Figure. 7. The input is the output of the error amplifier and the output is the PHASE node. The transfer function of the PWM modula- tor is given by: OSC IN PWM V V GAIN ∆ = VOSC PWM Comparator Driver Driver Output of Error Amplifier VIN V PHASE Figure 7. The PWM Modulator The compensation circuit is shown in Figure 8. It pro- vides a close loop transfer function with the highest zero crossover frequency and sufficient phase margin. The transfer function of error amplifier is given by: + + = = 3 sC 1 3 R // 1 R 2 sC 1 2 R // 1 sC 1 V V GAIN OUT COMP AMP × + × × × + + × + + × × + × × × + = 3 C 3 R 1 s 2 C 1 C 2 R 2 C 1 C s s 3 C ) 3 R 1 R ( 1 s 2 C 2 R 1 s 1 C 3 R 1 R 3 R 1 R The poles and zeros of the transfer function are: 2 C 2 R 2 1 F 1 Z × × π × = 3 C ) 3 R 1 R ( 2 1 F 2 Z × + × π × = + × × × π × = 2 C 1 C 2 C 1 C 2 R 2 1 F 1 P 3 C 3 R 2 1 F 2 P × × π × = |
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