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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2021
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oai:doaj.org-article:5530093df2f54736ac6fb4830888ac272021-11-11T18:18:48ZA Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints10.3390/math92127712227-7390https://doaj.org/article/5530093df2f54736ac6fb4830888ac272021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2771https://doaj.org/toc/2227-7390Today, 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.Mohamed M. RefaatShady H. E. Abdel AleemYousry AtiaZiad M. AliAdel El-ShahatMahmoud M. SayedMDPI AGarticlegeneration and transmission expansion planningrenewable energy sourcesfault current limitersN-1 securityoptimization algorithmsMathematicsQA1-939ENMathematics, Vol 9, Iss 2771, p 2771 (2021) |
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generation and transmission expansion planning renewable energy sources fault current limiters N-1 security optimization algorithms Mathematics QA1-939 |
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generation and transmission expansion planning renewable energy sources fault current limiters N-1 security optimization algorithms Mathematics QA1-939 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 |
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. |
format |
article |
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 |
title |
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_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_sort |
mathematical approach to simultaneously plan generation and transmission expansion based on fault current limiters and reliability constraints |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/5530093df2f54736ac6fb4830888ac27 |
work_keys_str_mv |
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