Optimal coordination of directional overcurrent relays: A fast and precise quadratically constrained quadratic programming solution methodology
Abstract Nowadays, power system protection is increasingly important because of the growing number of customers and the pressing need for timely fault resolution and relay operations. This paper addresses the non‐linear nature of the objective function in the optimal coordination of directional over...
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| Format: | Article |
| Language: | English |
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Wiley
2024-12-01
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| Series: | IET Generation, Transmission & Distribution |
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| Online Access: | https://doi.org/10.1049/gtd2.13329 |
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| author | Amir Hossein Poursaeed Meysam Doostizadeh Sina Hossein Beigi Fard Amir Hossein Baharvand Farhad Namdari |
| author_facet | Amir Hossein Poursaeed Meysam Doostizadeh Sina Hossein Beigi Fard Amir Hossein Baharvand Farhad Namdari |
| author_sort | Amir Hossein Poursaeed |
| collection | DOAJ |
| description | Abstract Nowadays, power system protection is increasingly important because of the growing number of customers and the pressing need for timely fault resolution and relay operations. This paper addresses the non‐linear nature of the objective function in the optimal coordination of directional overcurrent relays (DOCRs) by employing a quadratic Taylor series expansion around an operating point, converting the problem into a quadratically constrained quadratic programming problem, ensuring a global optimal solution with increased computational efficiency. Additionally, the quadratic constraints are converted into second‐order cone constraints for compatibility with the CPLEX solver. Using the least square method, the operating point values are determined and further fine‐tuned using iterations with the DOCR operation times. The IEEE 3‐bus, IEEE 8‐bus, and IEEE 14‐bus test systems are used to test the method, which shows higher improvement rates in reducing DOCR operation times and enhancing cooperation than conventional and metaheuristic methods. The simulation results verify the numerical superiority of the method in optimizing the protection system's efficiency while obtaining rapid and accurate solutions. The proposed method was tested on IEEE 3‐bus, 8‐bus, and 14‐bus systems, optimizing relay operating times to 0.87, 2.96, and 7.05 s, respectively, demonstrating the method's efficiency over conventional approaches. |
| format | Article |
| id | doaj-art-81a19863d69c412e984e24347e2f3760 |
| institution | DOAJ |
| issn | 1751-8687 1751-8695 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Generation, Transmission & Distribution |
| spelling | doaj-art-81a19863d69c412e984e24347e2f37602025-08-20T02:48:17ZengWileyIET Generation, Transmission & Distribution1751-86871751-86952024-12-0118244342435710.1049/gtd2.13329Optimal coordination of directional overcurrent relays: A fast and precise quadratically constrained quadratic programming solution methodologyAmir Hossein Poursaeed0Meysam Doostizadeh1Sina Hossein Beigi Fard2Amir Hossein Baharvand3Farhad Namdari4Faculty of Engineering Department of Electrical Engineering Lorestan University Khorram Abad IranFaculty of Engineering Department of Electrical Engineering Lorestan University Khorram Abad IranFaculty of Engineering Department of Electrical Engineering Lorestan University Khorram Abad IranFaculty of Engineering Department of Electrical Engineering Lorestan University Khorram Abad IranFaculty of Environment, Science, and Economy Department of Engineering, University of Exeter Exeter UKAbstract Nowadays, power system protection is increasingly important because of the growing number of customers and the pressing need for timely fault resolution and relay operations. This paper addresses the non‐linear nature of the objective function in the optimal coordination of directional overcurrent relays (DOCRs) by employing a quadratic Taylor series expansion around an operating point, converting the problem into a quadratically constrained quadratic programming problem, ensuring a global optimal solution with increased computational efficiency. Additionally, the quadratic constraints are converted into second‐order cone constraints for compatibility with the CPLEX solver. Using the least square method, the operating point values are determined and further fine‐tuned using iterations with the DOCR operation times. The IEEE 3‐bus, IEEE 8‐bus, and IEEE 14‐bus test systems are used to test the method, which shows higher improvement rates in reducing DOCR operation times and enhancing cooperation than conventional and metaheuristic methods. The simulation results verify the numerical superiority of the method in optimizing the protection system's efficiency while obtaining rapid and accurate solutions. The proposed method was tested on IEEE 3‐bus, 8‐bus, and 14‐bus systems, optimizing relay operating times to 0.87, 2.96, and 7.05 s, respectively, demonstrating the method's efficiency over conventional approaches.https://doi.org/10.1049/gtd2.13329optimisationovercurrent protectionpower system protectionpower system relaying |
| spellingShingle | Amir Hossein Poursaeed Meysam Doostizadeh Sina Hossein Beigi Fard Amir Hossein Baharvand Farhad Namdari Optimal coordination of directional overcurrent relays: A fast and precise quadratically constrained quadratic programming solution methodology IET Generation, Transmission & Distribution optimisation overcurrent protection power system protection power system relaying |
| title | Optimal coordination of directional overcurrent relays: A fast and precise quadratically constrained quadratic programming solution methodology |
| title_full | Optimal coordination of directional overcurrent relays: A fast and precise quadratically constrained quadratic programming solution methodology |
| title_fullStr | Optimal coordination of directional overcurrent relays: A fast and precise quadratically constrained quadratic programming solution methodology |
| title_full_unstemmed | Optimal coordination of directional overcurrent relays: A fast and precise quadratically constrained quadratic programming solution methodology |
| title_short | Optimal coordination of directional overcurrent relays: A fast and precise quadratically constrained quadratic programming solution methodology |
| title_sort | optimal coordination of directional overcurrent relays a fast and precise quadratically constrained quadratic programming solution methodology |
| topic | optimisation overcurrent protection power system protection power system relaying |
| url | https://doi.org/10.1049/gtd2.13329 |
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