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L6911E Datasheet(PDF) 22 Page - STMicroelectronics |
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L6911E Datasheet(HTML) 22 Page - STMicroelectronics |
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22 / 34 page  Device description L6911E 22/34 Equation 18 Where: τ 1 = R4 × C20, τ2 = (R4+R3) × C20 and τd = Rd × C25. The regulator transfer function became now: Equation 19 Figure 10 on page 21 shows a method to select the regulator components (please note that the frequencies fEC and fCC corresponds to the singularities introduced by additional ceramic capacitors in parallel to the output main electrolytic capacitor). ● To obtain a flat frequency response of the output impedance, the droop time constant τ d has to be equal to the inductor time constant (see the note at the end of the section): Equation 20 ● To obtain a constant -20dB/dec Gloop(s) shape the singularity f1 and f2 are placed in proximity of fCE and fLC respectively. This implies that: Equation 21 ● To obtain a Gloop bandwidth of fC, results: Equation 22 Rd 1 s --- C25 ⋅⋅ Rd 1 s --- + C25 ⋅ --------------------------------- R4 1 s --- C20 ⋅ + ⎝⎠ ⎛⎞ R3 ⋅ R4 1 s --- C20 ⋅ + ⎝⎠ ⎛⎞ R3 + ----------------------------------------------------- + Rd 1 s τ 1 τ d + () s 2 R3 R d -------- τ 1 τ d ⋅⋅ ⋅ + ⋅ + ⎝⎠ ⎛⎞ 1s τ 2 ⋅ + () 1s τ d ⋅ + () ⋅ -------------------------------------------------------------------------------------------------- Rd 1s R3 R d -------- τ d ⋅ + ⎝⎠ ⎛⎞ 1 ( ⋅ 1s τ 2 ⋅ + () 1 + ( ⋅ ---------------------------------------------- = = Rs () 1s τ 2 ⋅ + () 1s τ d ⋅ + () ⋅ sC18 R d 1s R3 R d -------- τ d ⋅ + ⎝⎠ ⎛⎞ 1s τ 1 ⋅ + () ⋅⋅ ⋅ ⋅ ------------------------------------------------------------------------------------------------------- ≈ τ d R d C25 ⋅ L R L ------- τ L C25 ⇒ L R L R d ⋅ () ----------------------- == = = f 2 f 1 ---- f LC f CE -------- R4 ⇒ R3 f LC f CE -------- 1 – ⎝⎠ ⎛⎞ ⋅ == f1 f CE C20 1 2 --- π R4 f CE ⋅ ⋅⋅ = ⇒ = f LC 1f C G 0 ⇒ ⋅ A 0 R 0 ⋅ VIN Vosc ∆ ------------------ C20 // C25 C18 ----------------------------- ⋅ f C f LC -------- C18 ⇒ VIN Vosc ∆ ------------------ C20 C25 ⋅ C20 C25 + ----------------------------- ⋅ == = = = |
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