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Table 2 Optimum parameters of PID controller for test system-1

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

HGA-PSO [3]

AEFA

GWO [2]

BSA [19]

DE

PSO [17]

KP1

1.9757

1.6476

1.5447

1.2278

0.9160

0.9296

0.7579

KP2

1.8296

1.7762

1.6413

1.2467

0.9398

1.0021

0.8779

KI1

0.0098

0.0445

0.0358

0.0050

0.0550

0.0209

0.3016

KI2

0.0137

0.0412

0.0091

0.0196

0.0012

0.0190

0.3016

KD1

1.0621

0.7210

0.9074

0.9149

0.7291

0.5860

0.1263

KD2

1.1428

0.7635

1.0911

0.8536

0.6922

0.5747

0.1372

ISE

0.1043

0.4109

0.6097

0.8725

1.0857

1.0943

1.7010

Settling time:∆f1

2.724

4.141

4.890

7.485

7.981

8.962

9.752

Settling time:∆PTie

5.126

6.207

8.470

8.573

8.738

9.323

9.693

Settling time:∆f2

3.214

4.276

4.991

5.184

8.275

8.708

9.752