Table 10 Optimal gain parameters of controllers of TARTPSN with RESs and PHES 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

1.2161

1.9938

1.9511

0.6605

0.2200

0.3147

0.7545

0.4389

 Area-2

1.4379

0.8269

0.3311

0.8287

1.3869

1.6299

0.9865

0.5086

FBI FFOPID(1 + FOPI)

 Area-1

0.6239

0.6232

1.2907

0.0284

0.3920

1.2151

1.1057

0.98889

 Area-2

1.3730

1.3953

1.3133

0.7597

1.3413

1.2120

0.7776

0.2511

FBI FPID(1 + PI)

 Area-1

0.0010

1.9900

2.0000

  

1.9855

0.0010

 

 Area-2

0.0021

0.1346

0.0009

  

0.0080

0.0017

 
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