Table 2 LFC and AVR system modeling and parameter settings.

From: Enhancement of PID controller performance for a combined LFC and AVR single- and two-area model using exponential distribution optimization technique

Model

Transfer function

Parameters

Description

Amplifier

\(\frac{KA}{ 1+\tau AS}\)

KA [10:400], \(\tau\) A [0.02:0.1s]

Gains and time constants

of amplifier, exciter, generator, and sensor

Exciter

\(\frac{KE}{ 1+\tau ES}\)

KE, \(\tau\) E (Very small)

Generator

\(\frac{KG}{ 1+\tau GS}\)

KG [0.7:1], \(\tau\) G [1.0:2.0s]

Sensor

\(\frac{KR}{ 1+\tau RS}\)

KR, \(\tau\) R [0.01:0.06s]

Governor

\(\frac{Kg}{ 1+\tau gS}\)

\(\tau g,\) Kg

Gains and time constants of governor, turbine, and generator/load

Turbine

\(\frac{KT}{ 1+\tau TS}\)

KT, \(\tau\) T [0.2: 2.0s]

Inertia/Load

\(\frac{Kl}{ 1+\tau lS}\)

Kl,\(\tau l\)

–

–

B

Frequency bias coefficients

–

–

R

Governor speed regulation