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MCR03EZPFX1002 Datasheet(PDF) 25 Page - International Rectifier |
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MCR03EZPFX1002 Datasheet(HTML) 25 Page - International Rectifier |
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25 / 36 page ![]() 25 IR3837MPbF Rev 1.31 Again, the transfer function is given by: By replacing Z in and Zf according to figure 20, the transfer function can be expressed as: The compensation network has three poles and two zeros and they are expressed as follows: Cross over frequency is expressed as: Based on the frequency of the zero generated by the output capacitor and its ESR, relative to crossover frequency, the compensation type can be different. Table 3 shows the compensation types for relative locations of the crossover frequency. (31) .......... .....(30) .......... .......... .......... .......... (29) ..... .......... ) .......(28 .......... .......... .......... .......... ......(27) .......... .......... .......... .......... .......... .......... 8 7 10 8 7 2 4 3 1 3 3 3 4 3 4 3 3 7 10 2 1 2 1 2 1 2 1 2 1 2 1 2 1 0 R * C * π ) R R ( * C * π F C * R * π F C * R * π C C C * C R * π F C * R * π F F Z Z P P P (32) .. .......... .......... .......... o o osc in o C * L * π * V V * C * R F 2 1 7 3 The higher the crossover frequency is, the potentially faster the load transient response will be. However, the crossover frequency should be low enough to allow attenuation of switching noise. Typically, the control loop bandwidth or crossover frequency (F o) is selected such that The DC gain should be large enough to provide high DC-regulation accuracy. The phase margin should be greater than 45o for overall stability. For this design we have: V in=12V V o=1.8V V osc=1.8V V ref=0.6V L o=0.51uH C o=7x47uF, ESR≈3mΩ each It must be noted here that the value of the capacitance used in the compensator design must be the small signal value. For instance, the small signal capacitance of the 47uF capacitor used in this design is 26uF at 1.8 V DC bias and 600 kHz frequency. It is this value that must be used for all computations related to the compensation. The small signal value may be obtained from the manufacturer’s datasheets, design tools or SPICE models. Alternatively, they may also be inferred from measuring the power stage transfer function of the converter and measuring the double pole frequency F LC and using equation (16) to compute the small signal C o. These result to: F LC=16.5 kHz F ESR=2.04 MHz F s/2=300 kHz s o F F * 1/10 ~ 1/5 Table 3. Different types of compensators Compensator Type F ESR vs F 0 Typical Output Capacitor Type II F LC < F ESR < F 0 < F S /2 Electrolytic Type III F LC < F 0 < F ESR SP-Cap, Ceramic IN f out e Z Z ) s ( H V V (26) .... ) C sR ( C C C * C sR ) C C ( sR R R sC ) C sR ( ) s ( H 7 10 3 4 3 4 3 3 4 8 10 8 7 4 3 1 1 1 1 |
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