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AN4164 Fiches technique(PDF) 23 Page - STMicroelectronics |
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AN4164 Fiches technique(HTML) 23 Page - STMicroelectronics |
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23 / 38 page ![]() AN4164 Feedback loop calculation guidelines Doc ID 023660 Rev 1 23/38 7 Feedback loop calculation guidelines 7.1 Transfer function The set PWM modulator + power stage is indicated with G1(f), while C(f) is the “controller”, i.e. the network which is in charge to ensure the stability of the system. The mathematical expression of the power plant G1(f) is the following: Equation 2 where VOUT is the output voltage, Ipkp is the primary peak current, fp is the frequency of the pole due to the output load and fz the frequency of the zero due to the ESR of the output capacitor: Equation 3 Equation 4 Figure 38. Control loop block diagram AM11582v1 ) fp j (1 ) , ( ) fz (1 V ) p 2 j (1 ) , ( ) z 2 (1 V = I V (f) G OUT OUT pk OUT 1 f Vdc fsw Ipkp f j f Vdc fsw Ipkp f j ⋅ + ⋅ ⋅ + ⋅ = ⋅ ⋅ ⋅ + ⋅ ⋅ ⋅ ⋅ + ⋅ Δ Δ = π π 2ESR) + ·(R C 1 fp OUT OUT ⋅ = π ·ESR C 2 1 fz OUT ⋅ ⋅ = π |
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