Research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topology

Abstract The rapid expansion of natural gas pipeline networks in China necessitates robust reliability assessment and optimization frameworks, particularly for large-scale looped configurations where traditional tree-based models fall short. This study proposes an integrated framework combining conn...

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Main Authors: Xiuxuan Yang, Kun Chen, Minghui Liu
Format: Article
Language:English
Published: Nature Portfolio 2025-04-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-98749-8
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author Xiuxuan Yang
Kun Chen
Minghui Liu
author_facet Xiuxuan Yang
Kun Chen
Minghui Liu
author_sort Xiuxuan Yang
collection DOAJ
description Abstract The rapid expansion of natural gas pipeline networks in China necessitates robust reliability assessment and optimization frameworks, particularly for large-scale looped configurations where traditional tree-based models fall short. This study proposes an integrated framework combining connectivity reliability evaluation with adaptive topology optimization. First, a minimum path set-based reliability model is developed, leveraging an enhanced depth-first search (DFS) algorithm for efficient path identification and binary decision diagrams (BDD) to eliminate 92% of redundant terms in reliability formulas, reducing computational complexity by 40% compared to Monte Carlo simulations. Second, an adaptive genetic algorithm (AGA) is designed to optimize network topology, dynamically adjusting crossover and mutation rates (0.8≤ $$\:{p}_{c}$$ ≤0.01, 0.01≤ $$\:{p}_{m}$$ ≤ 0.8) based on population diversity, while enforcing constraints through penalty functions (node degree $$\:{k}_{max}$$ =4, pipeline length $$\:{l}_{max}$$ =120 km). Case studies on a regional pipeline network (89 nodes, 98 segments) demonstrate that loop structures exhibit 25.7% higher average reliability ( $$\:{R}_{j}$$ = 0.87792) than branch nodes (v79: $$\:{R}_{j}$$ =0.60933). The AGA-driven optimization increases system-wide connectivity reliability ( $$\:{R}_{SU}$$ ) from 0.03 to 0.247 by strategically adding redundant pipelines (v71–v77), outperforming particle swarm optimization (PSO) by 65%. Key findings reveal that centralized gas source layouts and looped configurations significantly enhance redundancy, with critical segments showing 34% higher D-connectivity importance post-optimization. This work provides a scalable, training-free solution for pipeline network design, balancing computational efficiency (68.7s for 200-node networks) with engineering constraints, and offers actionable insights for infrastructure resilience enhancement.
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spelling doaj-art-6b6622b76a7e4e748af0be801a387a342025-08-20T02:27:53ZengNature PortfolioScientific Reports2045-23222025-04-0115112110.1038/s41598-025-98749-8Research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topologyXiuxuan Yang0Kun Chen1Minghui Liu2College of safety engineering, Chongqing University of Science and TechnologyCollege of safety engineering, Chongqing University of Science and TechnologyQingzhan Technology Co., Ltd.Abstract The rapid expansion of natural gas pipeline networks in China necessitates robust reliability assessment and optimization frameworks, particularly for large-scale looped configurations where traditional tree-based models fall short. This study proposes an integrated framework combining connectivity reliability evaluation with adaptive topology optimization. First, a minimum path set-based reliability model is developed, leveraging an enhanced depth-first search (DFS) algorithm for efficient path identification and binary decision diagrams (BDD) to eliminate 92% of redundant terms in reliability formulas, reducing computational complexity by 40% compared to Monte Carlo simulations. Second, an adaptive genetic algorithm (AGA) is designed to optimize network topology, dynamically adjusting crossover and mutation rates (0.8≤ $$\:{p}_{c}$$ ≤0.01, 0.01≤ $$\:{p}_{m}$$ ≤ 0.8) based on population diversity, while enforcing constraints through penalty functions (node degree $$\:{k}_{max}$$ =4, pipeline length $$\:{l}_{max}$$ =120 km). Case studies on a regional pipeline network (89 nodes, 98 segments) demonstrate that loop structures exhibit 25.7% higher average reliability ( $$\:{R}_{j}$$ = 0.87792) than branch nodes (v79: $$\:{R}_{j}$$ =0.60933). The AGA-driven optimization increases system-wide connectivity reliability ( $$\:{R}_{SU}$$ ) from 0.03 to 0.247 by strategically adding redundant pipelines (v71–v77), outperforming particle swarm optimization (PSO) by 65%. Key findings reveal that centralized gas source layouts and looped configurations significantly enhance redundancy, with critical segments showing 34% higher D-connectivity importance post-optimization. This work provides a scalable, training-free solution for pipeline network design, balancing computational efficiency (68.7s for 200-node networks) with engineering constraints, and offers actionable insights for infrastructure resilience enhancement.https://doi.org/10.1038/s41598-025-98749-8Natural gas pipeline networkConnectivity reliabilityMinimal pathTopology optimizationAdaptive genetic algorithm
spellingShingle Xiuxuan Yang
Kun Chen
Minghui Liu
Research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topology
Scientific Reports
Natural gas pipeline network
Connectivity reliability
Minimal path
Topology optimization
Adaptive genetic algorithm
title Research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topology
title_full Research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topology
title_fullStr Research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topology
title_full_unstemmed Research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topology
title_short Research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topology
title_sort research on the connectivity reliability analysis and optimization of natural gas pipeline network based on topology
topic Natural gas pipeline network
Connectivity reliability
Minimal path
Topology optimization
Adaptive genetic algorithm
url https://doi.org/10.1038/s41598-025-98749-8
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AT kunchen researchontheconnectivityreliabilityanalysisandoptimizationofnaturalgaspipelinenetworkbasedontopology
AT minghuiliu researchontheconnectivityreliabilityanalysisandoptimizationofnaturalgaspipelinenetworkbasedontopology