Table 8 Efforts implementing the proposed scheme in comparison with the GA, and PSO technique.

From: A grey wolf optimization-based modified SPWM control scheme for a three-phase half bridge cascaded multilevel inverter

Method

\({m}_{a}\)

Sector1

Sector2

Sector3

Sector4

Sector5

Sector6

\(TH{D}_{v, ph}\)

\(TH{D}_{v, line}\)

\(TH{D}_{i,L}\)

GWO

0.1

0.04827

0.14313

0.27297

0.37072

0.51721

0.67958

8.13747

7.48505

0.9888

0.2

0.02843

0.14895

0.24599

0.38337

0.52231

0.69577

9.38548

8.02109

1.12657

0.3

0.07453

0.14770

0.23988

0.34416

0.50525

0.66701

10.22370

8.5257

1.31917

0.4

0.05733

0.14081

0.23280

0.37535

0.52540

0.66417

10.58343

9.39443

1.45787

0.5

0.05813

0.14356

0.28291

0.35118

0.48279

0.64597

10.72515

9.78066

1.73621

0.6

0.0508

0.15024

0.28134

0.38887

0.53276

0.64414

10.85153

9.81647

1.23572

0.7

0.05080

0.15581

0.27726

0.36078

0.52262

0.64616

10.65534

9.64516

1.22551

0.8

0.05540

0.15443

0.26357

0.36587

0.51653

0.68797

10.20113

8.96454

1.44671

0.9

0.07115

0.14794

0.25821

0.36855

0.50735

0.62881

9.80255

8.42908

1.53238

1

0.07626

0.14667

0.26431

0.35873

0.49071

0.67475

9.04738

6.87201

0.98657

GA

0.1

0.03364

0.20571

0.28641

0.37463

0.50903

0.61397

9.46602

8.98308

2.36093

0.2

0.07614

0.15654

0.24507

0.40722

0.53645

0.70121

9.65298

8.86025

0.89539

0.3

0.04224

0.18068

0.23961

0.38201

0.52281

0.64828

10.1495

9.27096

1.23981

0.4

0.04287

0.16226

0.17969

0.31049

0.57870

0.66047

13.1891

10.54464

3.33606

0.5

0.06535

0.17958

0.18569

0.36781

0.55926

0.60262

12.3781

11.05821

2.04748

0.6

0.05061

0.14101

0.26183

0.40334

0.50108

0.64293

10.6561

9.79779

1.34021

0.7

0.03539

0.15264

0.26982

0.40533

0.50365

0.65836

10.6541

9.97481

1.15497

0.8

0.04447

0.14150

0.26336

0.38537

0.50676

0.66681

9.87649

8.89192

1.10066

0.9

0.06128

0.14617

0.26364

0.38496

0.50631

0.66776

9.32887

8.05727

1.0318

1

0.06134

0.14250

0.26432

0.38525

0.50691

0.66849

8.59569

6.99409

1.03085

PSO

0.1

0.05762

0.14958

0.26943

0.38223

0.51006

0.63877

8.25298

7.81054

1.39223

0.2

0.05066

0.18333

0.25429

0.36184

0.53129

0.66923

9.49119

8.18291

1.11489

0.3

0.05612

0.17666

0.25039

0.37994

0.48696

0.70501

10.24987

9.70097

1.23413

0.4

0.02919

0.13801

0.27271

0.37551

0.51982

0.69104

10.65221

10.27922

0.99982

0.5

0.01661

0.15838

0.25394

0.32273

0.44673

0.55068

10.83528

10.06921

3.81101

0.6

0.03563

0.17298

0.20342

0.31806

0.40419

0.69261

10.93693

10.04216

4.27878

0.7

0.05224

0.13625

0.21328

0.30297

0.52538

0.91361

10.83384

10.25981

5.71903

0.8

0.00862

0.15347

0.20701

0.33011

0.46088

0.75321

10.74942

9.88894

3.69939

0.9

0.06319

0.13281

0.24608

0.31634

0.53762

0.70336

10.52709

8.50726

2.28451

1

0.02911

0.09992

0.27626

0.30164

0.43151

0.72215

9.42193

8.30455

3.77656

  1. Significant values are in [bold].