Table 18 Optimal controllers’ settings for the AVR loop in Area-1 and Area-2.

From: A hybrid fuzzy-PIDD² control strategy for coordinated LFC and AVR in renewable-integrated multi-area power systems

Controller

Optim Algorithm

\(\:{AVR|}_{Area1}\)

\(\:AVR{|}_{Area2}\)

KP

KI

KD1

N1

KD2

N2

KE

KCE

KP

KI

KD1

N1

KD2

N2

KE

KCE

PID

PSO

1.5

1.0

1.9

1.3

-

-

-

-

1.1

2.0

0.8

1.1

-

-

-

-

PID

GTO

0.2

0.1

0.1

0.1

-

-

-

-

0.1

0.1

0.1

0.1

-

-

-

-

PID

MPA

0.1

0.5

0.1

0.2

-

-

-

-

0.1

0.6

0.1

0.1

-

-

-

-

PIDD²

PSO

2.0

2.0

1.5

2.0

2.0

100.0

-

-

2.0

2.0

1.7

2.0

2.0

100.0

-

-

PIDD²

GTO

1.2

2.0

2.0

1.9

1.2

65.5

-

-

0.8

1.6

0.6

2.0

2.0

98.4

-

-

PIDD²

MPA

2.0

2.0

0.8

2.0

2.0

100.0

-

-

2.0

2.0

2.0

2.0

1.7

95.1

-

-

FPIDD²+PIDD²

PSO

2.0

2.0

1.5

1.6

2.0

100.0

-

-

2.0

1.8

1.2

1.7

2.0

100.0

-

-

FPIDD²+PIDD²

GTO

2.0

2.0

2.0

2.0

1.1

96.2

-

-

0.1

0.1

2.0

1.3

1.7

100.0

-

-

FPIDD²+PIDD²

MPA

0.7

2.0

2.0

0.2

1.4

0.1

-

-

2.0

2.0

0.9

1.5

1.0

60.5

-

-