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Table 10 Eigenvalue analysis of three scenarios

From: Small signal stability enhancement of a large scale power system using a bio-inspired whale optimization algorithm

 

PSO

DE

WOA

Scenario 1

− .366 ± 0.547i,0.557

− 0.385 ± 0.563i,0.565

− 0.401 ± 0.574i,0.572

− 0.410 ± 0.588i,0.572

− 0.436 ± 0.603i,0.586

− 0.457 ± 0.613i,0.598

− 0.408 ± 0.613i,0.554

− 0.437 ± 0.626i,0.571

− 0.459 ± 0.635i,0.586

− 0.563 ± 0.568i,0.670

− 0.739 ± 0.630i,0.585

− 0.563 ± 0.578i,0.698

− 0.616 ± 0.673i, 0.675

− 0.750 ± 0.653i,0.754

− 0.669 ± 0.663i,0.711

− 0.701 ± 0.640i,0.743

− 0.827 ± 0.670i,0.778

− 1.01 ± 0.623i,0.851

− 0.731 ± 0.663i, 0.741

− 18.2 ± 11.3i,0.850

− 2.29 ± 1.77i,0.792

Scenario 2

− 0.362 ± 0.547i, 0.551

− 0.108 ± 0.122i,0.663

− 0.108 ± 0.122i, 0.663

− 0.407 ± 0.613i, 0.553

− 0.380 ± 0.563i,0.560

− 0.396 ± 0.575i,0.567

− 0.492 ± 0.601i,0.633

− 0.434 ± 0.627i,0.574

− 0.458 ± 0.636i,0.585

− 0.514 ± 0.568i, 0.6714

− 0.520 ± 0.612i,0.648

− 0.544 ± 0.618i,0.661

− 0.673 ± 0.665, 0.711

− 0.542 ± 0.575i,0.686

− 0.564 ± 0.578i,0.698

− 0.686 ± 0.645i, 0.728

− 0.696 ± 0.659i,0.726

− 1.01 ± 0.619i,0.854

− 0.981 ± 0.0051i, 1.000

− 0.719 ± 0.631i,0.752

− 1.13 ± 1.81i,0.538

− 1.01 ± 0.0546i, 0.999

− 0.772 ± 0.649i,0.765

− 1.32 ± 3.30i,0.371

− 1.02 ± 0.0474i, 0.999

− 0.872 ± 0.657i,0.799

− 2.05 ± 2.87i,0.581

− 0.362 ± 0.547i, 0.551

− 0.108 ± 0.122i,0.663

− 0.108 ± 0.122i, 0.663

Scenario 3

− 0.674 ± 0.664i, 0.712

− 0.696 ± 0.659i,0.726

− 0.714 ± 0.653i,0.738

− 0.981 ± 0.0563i, 1.000

− 0.870 ± 0.657i,0.798

− 0.985 ± 0.0173i,1.000

− 0.746 ± 0.666i, 0.746

− 0.960 ± 0.664i,0.822

− 0.790 ± 0.635i,0.779

− 0.835 ± 0.692i, 0.770

− 1.83 ± 0.113i,0.998

− 0.887 ± 0.635i,0.814

− 0.895 ± 0.682i, 0.895

− 1.12 ± 1.83i,0.522

− 1.01 ± 0.619i,0.853

− 1.69 ± 0.150i, 0.996

− 2.36 ± 1.66i,0.818

− 2.06 ± 0.135i,0.998