A Matrix-Based Analytical Approach for Reliability Assessment of Mesh Distribution Networks

Shuitian Li, Lixiang Lin, Ya Chen, Chang Xu, Chenxi Zhang, Yuanliang Zhang, Fengzhang Luo () and Jiacheng Fo ()
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Shuitian Li: Guangzhou Power Supply Bureau of Guangdong Power Grid Co., Ltd., Guangzhou 510620, China
Lixiang Lin: Guangzhou Power Supply Bureau of Guangdong Power Grid Co., Ltd., Guangzhou 510620, China
Ya Chen: Guangzhou Power Supply Bureau of Guangdong Power Grid Co., Ltd., Guangzhou 510620, China
Chang Xu: Guangzhou Power Supply Bureau of Guangdong Power Grid Co., Ltd., Guangzhou 510620, China
Chenxi Zhang: Guangzhou Power Supply Bureau of Guangdong Power Grid Co., Ltd., Guangzhou 510620, China
Yuanliang Zhang: Guangzhou Power Supply Bureau of Guangdong Power Grid Co., Ltd., Guangzhou 510620, China
Fengzhang Luo: Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China
Jiacheng Fo: Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China

Energies, 2025, vol. 18, issue 20, 1-14

Abstract: To address the limitations of conventional reliability assessment methods in handling mesh distribution networks with flexible operation characteristics and complex topologies, namely their poor adaptability and low computational efficiency, this paper proposes a matrix-based analytical approach for reliability assessment of mesh distribution networks. First, a network configuration centered on the soft open points (SOP) is established. Through multi-feeder interconnection and flexible power flow control, a topology capable of fast fault transfer and service restoration is formed. Second, based on the restoration modes of load nodes under fault scenarios, three types of fault incidence matrices (FIM) are proposed. By means of matrix algebra, explicit analytical expressions are derived for the relationships among equipment failure probability, duration, impact range, and reliability indices. This overcomes the drawbacks of iterative search in conventional reliability assessments, significantly improving efficiency while ensuring accuracy. Finally, a modified 44 bus Taiwan test system is used for reliability assessment to verify the effectiveness of the proposed method. The results demonstrate that the proposed matrix-based analytical reliability assessment method enables explicit analytical calculation of both system-level and load-level reliability indices in mesh distribution networks, providing effective support for planning and operational optimization to enhance reliability.

Keywords: matrix-based analytical calculation; mesh distribution network; reliability assessment; fault incidence matrix (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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