Table 5 Optimum control variables for IEEE 30-bus grid for minifying fuel cost.

From: Application of modified artificial hummingbird algorithm in optimal power flow and generation capacity in power networks considering renewable energy sources

Control variables

AHA

HHO

mAHA

RUN

SCA

SMA

TSA

WOA

CGSCE50

\({P}_{G1}\) (MW)

176.906

178.999

177.1779

177.306

172.6857

176.7942

179.9009

175.5387

177.120

\({P}_{G2}\) (MW)

48.051

48.558

48.7003

48.511

49.5774

48.3917

47.2028

47.5454

48.6931

\({P}_{G5}\) (MW)

21.279

20.884

21.4732

21.220

25.9249

21.1671

21.0713

20.6348

21.3708

\({P}_{G8}\) (MW)

21.719

13.578

21.0560

20.643

22.2514

21.2451

18.4862

21.4456

21.2720

\({P}_{G11}\) (MW)

11.990

17.119

11.6398

11.817

10

12.4284

13.9516

14.6936

11.9708

\({P}_{G13}\) (MW)

12.066

13.407

12

12.564

13.0287

12

12

12.1966

12.0011

\({V}_{1}\) (pu)

1.0998

1.1

1.1

1.0997

1.08018

1.1

1.1

1.1

1.0848

\({V}_{2}\) (pu)

1.0876

1.0893

1.08753

1.0854

1.05307

1.08743

1.07431

1.08822

1.0653

\({V}_{5}\) (pu)

1.0617

1.0770

1.05989

1.0593

1.00887

1.06122

1.06045

1.06419

1.0338

\({V}_{8}\) (pu)

1.0670

1.0652

1.06828

1.0656

1.01128

1.06968

1.06601

1.06895

1.0384

\({V}_{11}\) (pu)

1.0945

1.0757

1.09523

1.0986

1.1

1.1

1.06663

1.1

1.0993

\({V}_{13}\) (pu)

1.0994

1.0632

1.09950

1.0993

1.1

1.09995

1.1

1.04947

1.0462

\({T}_{11}\) (6–9)

1.0073

1.0651

1.03251

1.0002

1.1

1.01595

0.99058

1.06601

1.0377

\({T}_{12}\) (6–10)

0.9569

1.0104

0.91963

0.9523

1.1

0.94796

0.9

1.03469

0.9539

\({T}_{15}\) (4–12)

1.0034

1.0272

0.99351

0.9916

0.9

1.00276

1.1

1.03139

0.9687

\({T}_{36}\) (28–27)

0.9739

0.9991

0.96845

0.9681

0.92811

0.96587

0.93863

1.01569

0.9741

\({Q}_{10}\) (MVAR)

4.70492

2.2025

4.99909

4.70924

0

2.817585

2.684852

0.448918

1.5896

\({Q}_{12}\) (MVAR)

4.24528

0.16911

4.98579

4.42300

0

3.946360

1.910281

1.919497

1.1263

\({Q}_{15}\) (MVAR)

3.79860

0.49680

2.70386

4.060068

3.142928

0

3.171857

0.678525

4.2301

\({Q}_{17}\) (MVAR)

3.3856

0.0429

3.61731

4.408631

0.090808

4.52756

0.950972

2.036575

4.9719

\({Q}_{20}\) (MVAR)

4.23117

1.49543

4.99426

4.50550

3.120945

4.041979

4.116303

2.995657

4.0218

\({Q}_{21}\) (MVAR)

4.82997

2.37321

4.81975

4.73517

2.399678

4.949713

3.747557

1.134746

4.9972

\({Q}_{23}\) (MVAR)

4.3502

0.11461

4.99194

4.11112

1.385095

4.843498

2.152461

1.896188

2.9141

\({Q}_{24}\) (MVAR)

3.9253

1.30597

4.9990

4.72998

0.340715

4.954122

0.384783

4.131996

5

\({Q}_{29}\) (MVAR)

2.69775

0.81080

1.11435

2.57926

1.766579

0.412344

0.010386

2.672235

2.4753

Fuel cost ($/h)

799.18

801.60

799.135

799.17

807.179

799.193

800.877

799.962

800.5106

Power losses (MW)

8.6151

9.1477

8.64736

8.6636

10.0683

8.62662

9.21300

8.65502

–

Voltage deviations (pu)

1.6377

0.6024

1.71252

1.7326

0.57608

1.63148

1.36734

0.63584

–

Iterations time (s)

50.8

418

52

91.2

85.097

52.1

53.8

55.2

–

Back to article page