# Robust Design of Dual-Input Power System Stabilizer Using Chaotic JAYA Algorithm

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## Abstract

**:**

## 1. Introduction

- To investigate the performance of C-JAYA in designing PSS.
- To demonstrate the robustness of a dual-input PSS structure.
- To study the potential benefit of C-JAYA compared to the original JAYA, PSO and cuckoo search techniques.
- To show the efficacy of the suggested C-JAYAPSS controller over an extended range of loading conditions.

## 2. Mathematical Model

#### 2.1. Generator

#### 2.2. Excitation System and Stabilize Models

## 3. Classical JAYA

_{i}

_{,j}and $\lfloor {X}_{i,j}\rfloor $ is its absolute value. Besides, the previous equation include two, random numbers $ran{d}_{1}$ and $ran{d}_{2}$. $ran{d}_{1}\left({X}_{bestj}-\lfloor {X}_{i,j}\rfloor \right)$ expresses the tendency toward the best solution, whereas the term $ran{d}_{2}\left({X}_{worstj}-\lfloor {X}_{i,j}\rfloor \right)$ represents the avoidance of the worst solution. At this level, we will only accept ${x}_{new,i}$ if it gives better values of the objective function.

## 4. Proposed Chaotic JAYA

#### 4.1. Chaotic Map

#### 4.2. Chaotic JAYA Algorithm

## 5. Design Approach

#### 5.1. Design Method

#### 5.2. Appling of C-JAYA to Problem Stability

## 6. Simulations

## 7. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## Appendix A

**Generator**: M = 9.26; D = 0; ${x}_{d}$ = 0.973 p.u.

**Exciter**: ${K}_{A}$ = 50; ${T}_{A}$ = 0.05 s.

**Transmission line**: R = −0.034 p.u, X = 0.997 p.u.

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Method | ${\mathit{K}}_{\mathit{s}1}$ | ${\mathit{K}}_{\mathit{s}2}$ | ${\mathit{T}}_{1}$ | ${\mathit{T}}_{2}$ | ${\mathit{T}}_{3}$ | ${\mathit{T}}_{4}$ |
---|---|---|---|---|---|---|

C-JAYA | −47.0458 | 95.0377 | 1.9750 | 0.1059 | 0.3624 | 1.8487 |

JAYA | −12.1393 | 33.1568 | 1.8413 | 0.2951 | 1.4674 | 1.9591 |

PSO | −18.3154 | 87.0993 | 1.8328 | 0.4180 | 1.9986 | 0.0111 |

CS | −16.9978 | 74.6285 | 1.7516 | 0.1885 | 0.4841 | 1.7070 |

Loading | P(pu) | Q(pu) |
---|---|---|

Case 1 | 1 | 0.015 |

Case 2 | 1 | −0.1 |

Case 3 | 0.8 | 0.5 |

Case 4 | 0.95 | 0.3 |

Method | ITAE | FD | ||||||
---|---|---|---|---|---|---|---|---|

Case 1 | Case 2 | Case 3 | Case 4 | Case 1 | Case 2 | Case 3 | Case 4 | |

C-JAYAPSS | 0.87 | 0.94 | 0.92 | 1.03 | 16.21 | 19.38 | 21.04 | 24.12 |

JAYAPSS | 0.93 | 1.04 | 1.14 | 1.11 | 21.36 | 25.14 | 27.77 | 28.65 |

PSOPSS | 1.01 | 1.13 | 1.38 | 1.45 | 28.74 | 32.88 | 39.15 | 52.09 |

CPSS | 1.17 | 1.31 | 1.05 | 1.21 | 44.51 | 56.71 | 23.19 | 33.67 |

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**MDPI and ACS Style**

Alshammari, B.M.; Farah, A.; Alqunun, K.; Guesmi, T.
Robust Design of Dual-Input Power System Stabilizer Using Chaotic JAYA Algorithm. *Energies* **2021**, *14*, 5294.
https://doi.org/10.3390/en14175294

**AMA Style**

Alshammari BM, Farah A, Alqunun K, Guesmi T.
Robust Design of Dual-Input Power System Stabilizer Using Chaotic JAYA Algorithm. *Energies*. 2021; 14(17):5294.
https://doi.org/10.3390/en14175294

**Chicago/Turabian Style**

Alshammari, Badr M., Anouar Farah, Khalid Alqunun, and Tawfik Guesmi.
2021. "Robust Design of Dual-Input Power System Stabilizer Using Chaotic JAYA Algorithm" *Energies* 14, no. 17: 5294.
https://doi.org/10.3390/en14175294