A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints
Today, generation and transmission expansion planning (G&TEP) to meet potential load growth is restricted by reliability constraints and the presence of uncertainties. This study proposes the reliability constrained planning method for integrated renewable energy sources and transmission expansi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/21/2771 |
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| author | Mohamed M. Refaat Shady H. E. Abdel Aleem Yousry Atia Ziad M. Ali Adel El-Shahat Mahmoud M. Sayed |
| author_facet | Mohamed M. Refaat Shady H. E. Abdel Aleem Yousry Atia Ziad M. Ali Adel El-Shahat Mahmoud M. Sayed |
| author_sort | Mohamed M. Refaat |
| collection | DOAJ |
| description | Today, generation and transmission expansion planning (G&TEP) to meet potential load growth is restricted by reliability constraints and the presence of uncertainties. This study proposes the reliability constrained planning method for integrated renewable energy sources and transmission expansion considering fault current limiter (FCL) placement and sizing and N-1 security. Moreover, an approach for dealing with uncertain events is adopted. The proposed planning model translates into a mixed-integer non-linear programming model, which is complex and not easy to solve. The problem was formulated as a tri-level problem, and a hybridization framework between meta-heuristic and mathematical optimization algorithms was introduced to avoid linearization errors and simplify the solution. For this reason, three meta-heuristic techniques were tested. The proposed methodology was conducted on the Egyptian West Delta system. The numerical results demonstrated the efficiency of integrating G&TEP and FCL allocation issues in improving power system reliability. Furthermore, the effectiveness of the hybridization algorithm in solving the suggested problem was validated by comparison with other optimization algorithms. |
| first_indexed | 2024-03-10T05:56:46Z |
| format | Article |
| id | doaj.art-5530093df2f54736ac6fb4830888ac27 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:56:46Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5530093df2f54736ac6fb4830888ac272023-11-22T21:18:37ZengMDPI AGMathematics2227-73902021-11-01921277110.3390/math9212771A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability ConstraintsMohamed M. Refaat0Shady H. E. Abdel Aleem1Yousry Atia2Ziad M. Ali3Adel El-Shahat4Mahmoud M. Sayed5Photovoltaic Cells Department, Electronics Research Institute, Cairo 11843, EgyptElectrical Engineering Department, Valley High Institute of Engineering and Technology, Science Valley Academy, Qalubia 44971, EgyptPhotovoltaic Cells Department, Electronics Research Institute, Cairo 11843, EgyptElectrical Engineering Department, College of Engineering at Wadi Addawaser, Prince Sattam Bin Abdulaziz University, Wadi Addawaser 11991, Saudi ArabiaEnergy Technology Program, School of Engineering Technology, Purdue University, West Lafayette, IN 47907, USAElectrical Power Department, Faculty of Engineering, Cairo University, Giza 12613, EgyptToday, generation and transmission expansion planning (G&TEP) to meet potential load growth is restricted by reliability constraints and the presence of uncertainties. This study proposes the reliability constrained planning method for integrated renewable energy sources and transmission expansion considering fault current limiter (FCL) placement and sizing and N-1 security. Moreover, an approach for dealing with uncertain events is adopted. The proposed planning model translates into a mixed-integer non-linear programming model, which is complex and not easy to solve. The problem was formulated as a tri-level problem, and a hybridization framework between meta-heuristic and mathematical optimization algorithms was introduced to avoid linearization errors and simplify the solution. For this reason, three meta-heuristic techniques were tested. The proposed methodology was conducted on the Egyptian West Delta system. The numerical results demonstrated the efficiency of integrating G&TEP and FCL allocation issues in improving power system reliability. Furthermore, the effectiveness of the hybridization algorithm in solving the suggested problem was validated by comparison with other optimization algorithms.https://www.mdpi.com/2227-7390/9/21/2771generation and transmission expansion planningrenewable energy sourcesfault current limitersN-1 securityoptimization algorithms |
| spellingShingle | Mohamed M. Refaat Shady H. E. Abdel Aleem Yousry Atia Ziad M. Ali Adel El-Shahat Mahmoud M. Sayed A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints Mathematics generation and transmission expansion planning renewable energy sources fault current limiters N-1 security optimization algorithms |
| title | A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints |
| title_full | A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints |
| title_fullStr | A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints |
| title_full_unstemmed | A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints |
| title_short | A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints |
| title_sort | mathematical approach to simultaneously plan generation and transmission expansion based on fault current limiters and reliability constraints |
| topic | generation and transmission expansion planning renewable energy sources fault current limiters N-1 security optimization algorithms |
| url | https://www.mdpi.com/2227-7390/9/21/2771 |
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