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A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints

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Listed:
  • Mohamed M. Refaat

    (Photovoltaic Cells Department, Electronics Research Institute, Cairo 11843, Egypt
    Electrical Power Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt)

  • Shady H. E. Abdel Aleem

    (Electrical Engineering Department, Valley High Institute of Engineering and Technology, Science Valley Academy, Qalubia 44971, Egypt)

  • Yousry Atia

    (Photovoltaic Cells Department, Electronics Research Institute, Cairo 11843, Egypt)

  • Ziad M. Ali

    (Electrical Engineering Department, College of Engineering at Wadi Addawaser, Prince Sattam Bin Abdulaziz University, Wadi Addawaser 11991, Saudi Arabia
    Electrical Engineering Department, Aswan Faculty of Engineering, Aswan University, Aswan 81542, Egypt)

  • Adel El-Shahat

    (Energy Technology Program, School of Engineering Technology, Purdue University, West Lafayette, IN 47907, USA)

  • Mahmoud M. Sayed

    (Electrical Power Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt)

Abstract

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.

Suggested Citation

  • Mohamed M. Refaat & Shady H. E. Abdel Aleem & Yousry Atia & Ziad M. Ali & Adel El-Shahat & Mahmoud M. Sayed, 2021. "A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints," Mathematics, MDPI, vol. 9(21), pages 1-21, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2771-:d:669981
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    References listed on IDEAS

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    2. Yuhong Wang & Xu Zhou & Yunxiang Shi & Zongsheng Zheng & Qi Zeng & Lei Chen & Bo Xiang & Rui Huang, 2021. "Transmission Network Expansion Planning Considering Wind Power and Load Uncertainties Based on Multi-Agent DDQN," Energies, MDPI, vol. 14(19), pages 1-28, September.
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    4. Sun, M. & Teng, F. & Konstantelos, I. & Strbac, G., 2018. "An objective-based scenario selection method for transmission network expansion planning with multivariate stochasticity in load and renewable energy sources," Energy, Elsevier, vol. 145(C), pages 871-885.
    5. Yamchi, Hamid Bakhshi & Safari, Amin & Guerrero, Josep M., 2021. "A multi-objective mixed integer linear programming model for integrated electricity-gas network expansion planning considering the impact of photovoltaic generation," Energy, Elsevier, vol. 222(C).
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    Cited by:

    1. Adel A. Abou El-Ela & Ragab A. El-Sehiemy & Abdullah M. Shaheen & Aya R. Ellien, 2022. "Review on Active Distribution Networks with Fault Current Limiters and Renewable Energy Resources," Energies, MDPI, vol. 15(20), pages 1-30, October.
    2. Muhyaddin Rawa, 2022. "Towards Avoiding Cascading Failures in Transmission Expansion Planning of Modern Active Power Systems Using Hybrid Snake-Sine Cosine Optimization Algorithm," Mathematics, MDPI, vol. 10(8), pages 1-25, April.

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