Table 8 Optimal gain parameters of controllers of TARTPSN with RESs optimized by FBI and QOFBI techniques.

From: A quasi-oppositional FBI algorithm driven fuzzy cascaded fractional-order controller for enhancing transient stability in hybrid power systems

Controllers

Optimal gain parameters

KP

KI

KD

λ

µ

KPP

KII

λs

QOFBI FFOPID(1 + FOPI)

 Area-1

0.8508

1.2967

1.5109

0.5403

0.2624

0.1759

0.9517

0.5323

 Area-2

16,402

0.9971

0.4823

0.7802

1.2042

1.6271

0.7258

0.4888

FBI FFOPID(1 + FOPI)

 Area-1

1.2023

1.9314

1.9538

0.6095

0.1634

0.2349

0.6931

0.4876

 Area-2

1.5068

0.7717

0.3096

0.8328

1.3730

1.6149

0.8787

0.5253

FBI FPID(1 + PI)

 Area-1

0.0010

2.0000

1.9918

  

1.9892

0.0011

 

 Area-2

0.0015

0.2092

0.0025

  

0.0012

0.0011