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AN4149 Datasheet(PDF) 35 Page - STMicroelectronics |
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AN4149 Datasheet(HTML) 35 Page - STMicroelectronics |
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35 / 43 page ![]() DocID023523 Rev 2 35/43 AN4149 FOT PFC boost control loop The closed-loop transfer function is the product of the control-to-output transfer function (equation 85) and the E/A transfer function (equation 92): Equation 101 The gain and the phase of the closed-loop transfer function is represented in the Bode plots in Figure 20. Figure 19. Bode plots of the closed-loop transfer function Finally all the parameters describing the actual closed-loop transfer function are calculated. Crossover frequency: Equation 102 Phase margin: Equation 103 E/A gain at 2fL: 2 100 2 3 0 2 ⋅ − Δ ⋅ = C COM P out fL V V V H D 2 100 2 1 2 2 3 2 ⋅ + ⋅ ⋅ ⋅ ⋅ Δ ⋅ = r m in p S out fL K k P k R V H D 286 . 1 2 100 2 27 . 0 1 23 . 0 4 . 380 10 8 011 . 0 2 2 / 81 . 14 011 . 0 3 3 = ⋅ + ⋅ ⋅ ⋅ ⋅ Ω ⋅ ⋅ = − W D AM13319v1 () () f f F root f c , 1 2 − = π Hz f c 9 . 5 = () c f F ⋅ ⋅ Φ + ° = Φ π 2 180 ° = Φ 4 . 56 |
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