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AN4106 Datasheet(PDF) 25 Page - STMicroelectronics |
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AN4106 Datasheet(HTML) 25 Page - STMicroelectronics |
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25 / 39 page ![]() AN4106 Feedback loop calculation guidelines Doc ID 023156 Rev 1 25/39 11 Feedback loop calculation guidelines 11.1 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. Figure 34. Control loop block diagram 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: Equation 3 and fz the frequency of the zero due to the ESR of the output capacitor: Equation 4 The mathematical expression of the compensator C(f) is: 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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