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Table 3 Optimum parameters of PID controller for test system-2

From: Impact of communication time delays on combined LFC and AVR of a multi-area hybrid system with IPFC-RFBs coordinated control strategy

Parameters

Optimization algorithms

DE-AEFA

hFA-PS [21]

AEFA

IMC [4]

ICA [20]

DE

ABC [18]

KP1

3.9957

3.9875

3.4898

4.2105

2.9105

2.7060

2.8147

KP2

4.0138

3.9085

3.4387

4.2105

2.7925

2.8903

2.6324

KI1

2.7416

2.9134

2.0357

7.5328

2.6676

1.9767

1.9134

KI2

2.9292

2.6432

2.1419

7.5328

1.9936

1.7630

1.8003

KD1

2.0935

2.1712

1.1270

1.2936

0.0524

0.9157

0.6160

KD2

1.9569

2.0975

1.2697

1.2936

0.0753

1.0136

0.6551

ISE

0.0344

0.0632

0.0972

0.2769

0.9649

1.0540

1.1299

Settling time:∆f1

2.506

2.930

3.985

4.758

7.788

17.91

23.64

Settling time:∆PTie

2.335

4.107

4.587

6.323

9.113

15.72

21.79

Settling time:∆f2

2.237

3.657

4.522

8.009

9.059

12.64

22.69