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IR3621 Datasheet(PDF) 16 Page - International Rectifier |
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IR3621 Datasheet(HTML) 16 Page - International Rectifier |
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16 / 29 page ![]() 16 IR3621&(PbF) www.irf.com Cross Over Frequency: The stability requirement will be satisfied by placing the poles and zeros of the compensation network according to following design rules. The consideration has been taken to satisfy condition (16) regarding transconduc- tance error amplifier. These design rules will give a crossover frequency ap- proximately one-tenth of the switching frequency. The higher the band width, the potentially faster the load tran- sient response. The DC gain will be large enough to pro- vide high DC-regulation accuracy (typically -5dB to -12dB). The phase margin should be greater than 45 ! for overall stability. Based on the frequency of the zero generated by ESR versus crossover frequency, the compensation type can be different. The table below shows the compensation type and location of crossover frequency. Where: VIN = Maximum Input Voltage VOSC = Oscillator Ramp Voltage Lo = Output Inductor Co = Total Output Capacitors FO = R7 ×C10× × VIN VOSC 1 2 π×Lo×Co ---(17) FP1 = 0 1 2 π×C10×(R6 + R8) FZ2 = ≅ 1 2 π×C10×R6 FZ1 = 1 2 π×R7×C11 FP3 = ≅ 1 2 π×R7× 1 2 π×R7×C12 FP2 = 1 2 π×R8×C10 ( ) C12 ×C11 C12+C11 Details are dicussed in application Note AN-1043 which can be downloaded from the IR Web-Site. Compensator Type Type II (PI) Type III (PID) Method A Type III (PID) Method B Location of Zero Crossover Frequency (FO) FLC < FESR < FO < fS/2 FLC < FO < FESR < fS/2 FLC < FO < fS/2 < FZO Typical Output Capacitor Electrolytic, Tantalum Tantalum, Ceramic Ceramic Table - The compensation type and location of zero crossover frequency. The slave error amplifier is a differential-input transcon- ductance amplifier, in 2-phase configuration the main goal for the slave feed back loop is to control the inductor current to match the master's inductor current as well provides highest bandwidth and adequate phase margin for overall stability. The following analysis is valid for both using external current sense resistor and using DCR of inductors. Where: VIN = Input Voltage L2 = Output Inductor VOSC = Oscillator Peak Voltage G(s) = = ---(18) IL2(s) Ve(s) VIN sL2 × VOSC D(s) = = Ve(s) RS2 × IL2(s) 1 + sC2R2 sC2 ( ) RS1 RS2 ( ) gm× × ---(19) L2 L1 C2 R2 RS2 RS1 Ve IL2 IL1 Fb2 E/A2 Comp2 Vp2 H(s)=[G(s) × D(s) × RS2] 1+sR2C2 sC2 ( ) ( ) gm× RS1 RS2 ( ) VIN sL2 ×VOSC H(s)=RS2 × × × Compensation for Slave Error Amplfier for 2-Phase Configuration The transfer function of power stage is expressed by: As shown the transfer function is a function of inductor current. The transfer function for the compensation network is given by equation (19), when using a series RC circuit as shown in Figure 17: Figure 17 - The PI compensation network for slave channel. The loop gain function is: |
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