Converter loop compensation

How it calculates

Compensator: HC(s) = K/s × (1+s/ωz1)/(1+s/ωp1) × [Type III: (1+s/ωz2)/(1+s/ωp2)]

Assumptions

• Op-amp network: Zfeedback = (R2 + 1/sC1) || 1/sC3; input is R1, or R1 || (R3 + 1/sC2) for Type III. Op-amp sign is included in the negative-feedback convention.
• OTA Type III adds R3 in series with C2 across the upper divider resistor R1; R4 is the lower divider. Its second pole/zero ratio must be below 1/beta. The exact loaded divider is recalculated after component rounding.
• OTA Type II uses feedback-divider ratio × gm × Zfeedback. Op-amp mode includes the upper divider resistor directly and does not multiply by the OTA divider ratio.
• Current-mode plants use an ideal inner current loop and user-entered control-to-current gain; current-sampling poles, slope compensation, delays and finite error-amplifier bandwidth are omitted.
• Margins are computed from the actual rounded network below fs/2. A Bode result from this reduced model does not replace injection measurement.

Worked example

These are the calculator's default inputs. Change any input above to recalculate.

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