Table 3 Selected minimum and maximum values of FOPID controller parameters during simulation.

From: Real time frequency and voltage stabilization in multi area hybrid power systems using hybrid MGOAO optimized PID and FOPID controllers

Controller

Parameter

Minimum value

Maximum value

LFC—Area 1

\(\:{K}_{p}\)

2.5

4.5

\(\:{K}_{i}\)

2.0

3.5

\(\:{K}_{d}\)

1.5

3.5

\(\:\lambda\:\)

0.1

0.9

\(\:\mu\:\)

0.1

0.9

LFC—Area 2

\(\:{K}_{p}\)

3.0

5.0

\(\:{K}_{i}\)

2.0

4.5

\(\:{K}_{d}\)

1.5

3.5

\(\:\lambda\:\)

0.1

0.9

\(\:\mu\:\)

0.1

0.9

AVR—Area 1

\(\:{K}_{p}\)

2.0

4.0

\(\:{K}_{i}\)

1.0

3.0

\(\:{K}_{d}\)

0.5

2.0

\(\:\lambda\:\)

0.1

0.9

\(\:\mu\:\)

0.1

0.9

AVR—Area 2

\(\:{K}_{p}\)

1.0

3.5

\(\:{K}_{i}\)

1.0

3.0

\(\:{K}_{d}\)

0.5

2.5

\(\:\lambda\:\)

0.1

0,9

\(\:\mu\:\)

0.1

0.9