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AN938 Datasheet(PDF) 23 Page - STMicroelectronics |
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AN938 Datasheet(HTML) 23 Page - STMicroelectronics |
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23 / 33 page ![]() AN938 Typical application Doc ID 5410 Rev 10 23/33 3.9 PWM gain Equation 15 where Vct is the peak-to-peak sawtooth oscillator. Pole and zero values are as follows: Equation 16 Equation 17 Equation 18 Equation 19 Equation 20 The compensation is found by choosing Focomp close to the frequency of the double pole introduced by the LC filter. Using a compensation network with R1 = 15 k Ω, C6 = 22 nF and C5 = 150 pF, the gain and phase bode plots are shown in Figure 32-34. The cutoff frequency Fc is 22 KHz and the phase margin is 52°C. V CC V ct ----------- V CC 6 ⋅ V CC 1 – -------------------- 6 ≈ = F o 1 2 πR esr C out ⋅ ⋅ --------------------------------------- 1 2 π 0.065 300 10 6 – ⋅⋅ ⋅ ⋅ ------------------------------------------------------------- 8.162KHz == = F p 1 2 π LC out ⋅ ⋅⋅ --------------------------------------- 1 2 π 68 10 6 – 300 10 6 – ⋅⋅ ⋅ ⋅⋅ -------------------------------------------------------------------------- 1.087kHz == = F ocomp 1 2 π R c C c ⋅⋅ ⋅ --------------------------------- 1 2 π 15 10 3 22 10 9 – ⋅⋅ ⋅ ⋅ ⋅ ---------------------------------------------------------------- 492Hz == = F p1 1 2 π R o C c ⋅⋅ ⋅ ---------------------------------- 1 2 π 1.2 10 6 22 10 9 – ⋅⋅ ⋅ ⋅ ⋅ ----------------------------------------------------------------- 6.029Hz == = F p2 1 2 π R c C o ⋅⋅ ⋅ ---------------------------------- 1 2 π 15 10 3 150 10 12 – ⋅⋅ ⋅ ⋅ ⋅ --------------------------------------------------------------------- 70KHz == = |
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