Table 4 Controller parameter values.

From: Enhancing load frequency control and automatic voltage regulation in Interconnected power systems using the Walrus optimization algorithm

Tech.

Control loop

Control area

\({K_P}\)

\({K_I}\)

\({K_D}\)

\(\lambda\)

\(\mu\)

SSA

LFC

1

0.4490

0.4406

0.5104

0.6149

0.4404

2

0.5018

0.5308

0.5355

0.6145

0.5561

AVR

1

0.5969

0.5942

0.6018

0.7304

0.6043

2

0.5170

0.5209

0.4453

0.5135

0.6303

WAO

LFC

1

0.9996

0.9996

0.9996

0.9996

0.9963

2

0.9996

0.9949

0.9403

0.9996

0.9193

AVR

1

0.9888

0.2239

0.9971

0.9996

0.9996

2

0.9996

0.1915

0.9996

0.9996

0.9996

COA

LFC

1

0.9053

0.6806

0.8469

0.7439

0.8954

2

0.9138

0.1621

0.7622

0.6392

0.9534

AVR

1

0.0628

0.3387

0.6519

0.5314

0.8461

2

0.0563

0.3650

0.5378

1

0.9454

SBOA

LFC

1

0.5231

0.9987

0.8662

\(1.2 \times {10^{ - 6}}\)

0.9326

2

0.7640

0.7853

0.9562

0.2065

0.8362

AVR

1

0.5244

0.5925

0.8105

0.8542

0.7808

2

0.6523

0.5914

0.9252

0.8963

0.8869

HOA

LFC

1

1

0.9544

0.9649

0.9534

0.9154

2

0.9987

0.9810

0.9803

0.9155

0.9504

AVR

1

0.9507

0.9964

1

0.9850

1

2

0.9971

0.9824

1

0.9867

0.9735

BBOA

LFC

1

0.4166

0.2979

0.2852

0.2949

0.4360

2

0.4360

0.2957

0.3386

0.3465

0.4319

AVR

1

0.3467

0.4232

0.2692

0.1936

0.3317

2

0.4212

0.2576

0.2275

0.2019

0.2241

TL

LFC

1

1

0.9030

0.9911

0.9193

0.7901

2

0.8945

1

0.9518

1

0.8537

AVR

1

0.0597

0.2515

0.3724

0.6157

0.9853

2

0.2058

0.1488

0.2897

0.8723

0.9339

GTO

LFC

1

0.9997

0.9716

1

0.9681

0.8608

2

0.9999

1

0.9972

1

0.9269

AVR

1

0.9997

1

1

0.8475

0.9996

2

0.7191

0.5383

0.9939

0.9999

0.9999

WHO

LFC

1

0.7519

0.2287

0.7673

0.0642

0.6712

2

0.7152

0.6421

0.3908

0.4190

0.8161

AVR

1

0.3174

0.8145

0.8523

0.7891

0.5056

2

0.6357

0.9509

0.0600

0.4440

0.8667

WaOA

LFC

1

0.1

0.1

0.1

0.1

0.1

2

0.1

0.1

0.1

0.1

0.1

AVR

1

0.1

0.1

0.1

0.1

0.1

2

0.1

0.1

0.1

0.1

0.1