Solving the Optimal Power Flow Problem in Power Systems Using the Mountain Gazelle Algorithm †
Abstract
:1. Introduction
2. Problem Formulation
2.1. Equality Constraints
2.2. Inequality Constraints
- (a)
- Power generator constraints
- (b)
- Power transformer constraints
- (c)
- Shunt compensator constraints
- (d)
- Security constraints
2.3. Objectif Functions
3. Application
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Variables | Initial Case | Case 1 | Case 2 | Case 3 |
---|---|---|---|---|
PG.1 (MW) | 99.2220 | 177.0569 | 51.2508 | 175.5896 |
PG.2 (MW) | 80.0000 | 48.6920 | 79.9999 | 48.7895 |
PG.5 (MW) | 50.0000 | 21.3006 | 49.9999 | 21.8117 |
PG.8 (MW) | 20.0000 | 21.0849 | 35.0000 | 22.0798 |
PG.11 (MW) | 20.0000 | 11.8890 | 30.000 | 12.4188 |
PG.13 (MW) | 20.0000 | 12.0000 | 39.9999 | 12.3840 |
VG.1 (p.u.) | 1.0500 | 1.0999 | 1.1000 | 1.0413 |
VG.2 (p.u.) | 1.0400 | 1.0878 | 1.0976 | 1.0239 |
VG.5 (p.u.) | 1.0100 | 1.0617 | 1.0800 | 1.0102 |
VG.8 (p.u.) | 1.0100 | 1.0694 | 1.0869 | 1.0045 |
VG.11 (p.u.) | 1.0500 | 1.0999 | 1.1000 | 1.0612 |
VG.13 (p.u.) | 1.0500 | 1.0999 | 1.0999 | 0.9879 |
Cost ($/h) | 901.9500 | 799.0679 | 999.7273 | 803.3069 |
PLoss (MW) | 5.8225 | 8.6244 | 2.8521 | 9.7722 |
VD (p.u.) | 1.1496 | 1.8576 | 2.0572 | 0.0977 |
Case 1 | Case 2 | Case 3 | ||||||
---|---|---|---|---|---|---|---|---|
Ref. | Optimization Algorithms | Cost ($/h) | Ref. | Optimization Algorithms | PLoss (MW) | Ref. | Optimization Algorithms | VD (p.u.) |
[5] | MSO | 801.5710 | [14] | COA | 3.0952 | [23] | APFPA | 0.1095 |
[6] | MRFO | 801.3908 | [15] | ATLBO | 3.0906 | [24] | MSA | 0.1084 |
[7] | SKH | 800.5141 | [16] | IMFO | 3.0905 | [25] | EMSA | 0.1073 |
[8] | MGOA | 800.4744 | [17] | ACDE | 3.0840 | [13] | IEM | 0.1063 |
[9] | LAPO | 800.0078 | [18] | SSA | 2.9620 | [26] | TSA | 0.1060 |
[10] | TSO | 799.6041 | [19] | SSO | 2.9454 | [27] | GWO | 0.1037 |
[11] | IABC | 799.3210 | [20] | MSCA | 2.9334 | [28] | JOA | 0.1031 |
[12] | IGSA | 799.2817 | [21] | EMVPA | 2.8659 | [20] | MSCA | 0.1030 |
[13] | IEM | 799.1116 | [22] | IAOA | 2.8590 | [29] | ICBO | 0.1014 |
Applied MGO | 799.0679 | Applied MGO | 2.8521 | Applied MGO | 0.0977 |
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Zellagui, M.; Belbachir, N.; El-Sehiemy, R.A. Solving the Optimal Power Flow Problem in Power Systems Using the Mountain Gazelle Algorithm. Eng. Proc. 2023, 56, 176. https://doi.org/10.3390/ASEC2023-16269
Zellagui M, Belbachir N, El-Sehiemy RA. Solving the Optimal Power Flow Problem in Power Systems Using the Mountain Gazelle Algorithm. Engineering Proceedings. 2023; 56(1):176. https://doi.org/10.3390/ASEC2023-16269
Chicago/Turabian StyleZellagui, Mohamed, Nasreddine Belbachir, and Ragab A. El-Sehiemy. 2023. "Solving the Optimal Power Flow Problem in Power Systems Using the Mountain Gazelle Algorithm" Engineering Proceedings 56, no. 1: 176. https://doi.org/10.3390/ASEC2023-16269