Table 6 Optimally tuned parameters of different controllers with different optimization for case study II.

From: A novel TID + IDN controller tuned with coatis optimization algorithm under deregulated hybrid power system

Bilateral contract

Controller

Kp1

Ki1

Kd1

N

Ki2

Kd2

N

PSO drivenTID + IDNControllers

Controller-1

1.1761

1.7525

0.4075

2.898

2.9439

1.1569

20.2353

Controller-2

1.0224

0.2345

0.4651

2.5451

0.4075

0.1192

104.392

Controller-3

2.7133

1.7141

0.6765

2.0353

4.462

0.1769

83.9216

Controller-4

1.1184

3.2514

2.8671

2.6275

1.5796

3.8663

197.647

Controller-5

1.9447

0.2537

1.2722

2.9961

2.0984

1.791

52.0784

Squirrel search algorithm (SSA) driven TID + IDNControllers

Controller-1

0.2827

1.46

0.1428

2.765

1.2149

0.8996

263.984

Controller-2

2

0.6827

0.315

3

0.1333

0.256

300

Controller-3

0.9106

1.2364

0.3435

3

1.6915

1.4392

61.8545

Controller-4

2

0.9736

0.8819

3

1.0441

1.8874

63.2948

Controller-5

0.3046

0.921

0.2492

2.068

1.4815

0.4641

244.881

ImprovedSquirrel search algorithm (SSA) drivenTID + IDNControllers

Controller-1

1.7615

3.8164

0.6165

1.6726

0.1

1.5331

17.7003

Controller-2

0.1

0.4929

0.1

2.2082

0.4237

0.1

17.7003

Controller-3

0.7039

0.1

0.8941

1.7208

0.1

0.1

17.7003

Controller-4

0.1

0.6203

0.1

1

1.0633

0.4456

17.7003

Controller-5

0.678

0.1

1.0676

1.6181

0.1

0.6621

17.713

(COA) drivenTID + IDN

Controller-1

1.662

0.1

3.176

2.031

1.946

0.424

10.013

Controller-2

2.006

0.100

0.1

2.005

0.1

0.1

10.108

Controller-3

3.352

2.438

3.216

2.013

1.728

0.1

42.163

Controller-4

2.739

3.127

1.482

2.007

1.934

0.337

109.7

Controller-5

1.628

1.325

0.1

2.001

0.1

3.256

145.06

COA driven TID

Controller-1

5

1.7629

2.4362

2.1123

   

Controller-2

0.1

0.9781

0.89

2

   

Controller-3

5

0.7894

3.644

3

   

Controller-4

1.4791

4.5735

5

2.076

   

Controller-5

4.998

0.1

4.4125

2

   

COA driven IDN

Controller-1

    

1.5553

0.2378

27.7181

Controller-2

    

1.2116

0.345

18.1584

Controller-3

    

0.7606

0.3215

18.1849

Controller-4

    

1.221

0.334

18.1741

Controller-5

    

0.4759

0.2811

59.7174

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