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Type-III (PID) Analog Op-Amp Feedback Compensator Poles & Zeros Calculator

Easily calculate and compute type-iii (pid) analog op-amp feedback compensator poles & zeros calculator with accurate equations, live formulas, and expert guidance.

First upper voltage divider resistor.

Series resistor in high-frequency feedforward branch.

Feedback network resistor in series with C₁.

Main feedback integrator capacitor.

Feedback capacitor placed across R₃-C₁.

Feedforward lead capacitor placed across R₁.

Calculated Result
1.5 kHz

First Zero (f_z1)

First Zero (f_z1)

1.5 kHz

First Zero Fz1 K Hz

1.5

Second Zero Fz2 K Hz

4.3

First High Freq Pole Fp1 K Hz

33.9

Second High Freq Pole Fp2 K Hz

40.2

1.5 — kHz

Calculation Breakdown

  1. Applied FormulaExtracts the 3 poles and 2 zeros of a classic active Type-III analog op-amp PID compensation network used to stabilize voltage-mode buck converters with ceramic output capacitors.G_c(s) = -\frac{(1 + s R_3 C_1)(1 + s(R_1 + R_2)C_3)}{s R_1(C_1 + C_2)(1 + s R_3 \frac{C_1 C_2}{C_1 + C_2})(1 + s R_2 C_3)}

Type-III Loop Compensator Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.40.81.11.5First Zero (f_z1)

What Is the Type-III (PID) Analog Op-Amp Feedback Compensator Poles & Zeros Calculator?

This tool computes type-iii (pid) analog op-amp feedback compensator poles & zeros calculator with high precision arithmetic.

How Does the Type-III (PID) Analog Op-Amp Feedback Compensator Poles & Zeros Calculator Work?

Extracts the 3 poles and 2 zeros of a classic active Type-III analog op-amp PID compensation network used to stabilize voltage-mode buck converters with ceramic output capacitors.

Type-III (PID) Analog Op-Amp Feedback Compensator Poles & Zeros Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Gc(s)=−(1+sR3C1)(1+s(R1+R2)C3)sR1(C1+C2)(1+sR3C1C2C1+C2)(1+sR2C3)G_c(s) = -\frac{(1 + s R_3 C_1)(1 + s(R_1 + R_2)C_3)}{s R_1(C_1 + C_2)(1 + s R_3 \frac{C_1 C_2}{C_1 + C_2})(1 + s R_2 C_3)}

Extracts the 3 poles and 2 zeros of a classic active Type-III analog op-amp PID compensation network used to stabilize voltage-mode buck converters with ceramic output capacitors.

How to Use the Type-III (PID) Analog Op-Amp Feedback Compensator Poles & Zeros Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Type-III (PID) Analog Op-Amp Feedback Compensator Poles & Zeros Calculator Example

Input Values:

resistorR1KOhm:10
resistorR2KOhm:1.2
resistorR3KOhm:47
capacitorC1Nf:2.2
capacitorC2Pf:100
capacitorC3Nf:3.3
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required kHz.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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