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Maximal network reliability for a stochastic power transmission network

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  • Lin, Yi-Kuei
  • Yeh, Cheng-Ta

Abstract

Many studies regarded a power transmission network as a binary-state network and constructed it with several arcs and vertices to evaluate network reliability. In practice, the power transmission network should be stochastic because each arc (transmission line) combined with several physical lines is multistate. Network reliability is the probability that the network can transmit d units of electric power from a power plant (source) to a high voltage substation at a specific area (sink). This study focuses on searching for the optimal transmission line assignment to the power transmission network such that network reliability is maximized. A genetic algorithm based method integrating the minimal paths and the Recursive Sum of Disjoint Products is developed to solve this assignment problem. A real power transmission network is adopted to demonstrate the computational efficiency of the proposed method while comparing with the random solution generation approach.

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  • Lin, Yi-Kuei & Yeh, Cheng-Ta, 2011. "Maximal network reliability for a stochastic power transmission network," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1332-1339.
    • Handle: RePEc:eee:reensy:v:96:y:2011:i:10:p:1332-1339
    DOI: 10.1016/j.ress.2011.04.001
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    1. Yeh, Wei-Chang, 2008. "An improved algorithm for searching all minimal cuts in modified networks," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 1018-1024.
    2. Marshall L. Fisher & R. Jaikumar & Luk N. Van Wassenhove, 1986. "A Multiplier Adjustment Method for the Generalized Assignment Problem," Management Science, INFORMS, vol. 32(9), pages 1095-1103, September.
    3. Joseph C. Hudson & Kailash C. Kapur, 1985. "Reliability Bounds for Multistate Systems with Multistate Components," Operations Research, INFORMS, vol. 33(1), pages 153-160, February.
    4. Winkler, James & Dueñas-Osorio, Leonardo & Stein, Robert & Subramanian, Devika, 2010. "Performance assessment of topologically diverse power systems subjected to hurricane events," Reliability Engineering and System Safety, Elsevier, vol. 95(4), pages 323-336.
    5. Crucitti, Paolo & Latora, Vito & Marchiori, Massimo, 2004. "A topological analysis of the Italian electric power grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 92-97.
    6. Lin, Yi-Kuei, 2007. "On a multicommodity stochastic-flow network with unreliable nodes subject to budget constraint," European Journal of Operational Research, Elsevier, vol. 176(1), pages 347-360, January.
    7. Ramirez-Marquez, Jose Emmanuel & Coit, David W., 2007. "Multi-state component criticality analysis for reliability improvement in multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1608-1619.
    8. Zio, Enrico & Piccinelli, Roberta, 2010. "Randomized flow model and centrality measure for electrical power transmission network analysis," Reliability Engineering and System Safety, Elsevier, vol. 95(4), pages 379-385.
    9. Yao, Ming-Jong & Chu, Weng-Ming, 2008. "A genetic algorithm for determining optimal replenishment cycles to minimize maximum warehouse space requirements," Omega, Elsevier, vol. 36(4), pages 619-631, August.
    10. Salehi Fathabadi, H. & Forghani-elahabadi, M., 2009. "A note on “A simple approach to search for all d-MCs of a limited-flow networkâ€," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1878-1880.
    11. Wu, Wei-wei & Ning, Angelika & Ning, Xuan-xi, 2008. "Evaluation of the reliability of transport networks based on the stochastic flow of moving objects," Reliability Engineering and System Safety, Elsevier, vol. 93(6), pages 838-844.
    12. Chassin, David P. & Posse, Christian, 2005. "Evaluating North American electric grid reliability using the Barabási–Albert network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 667-677.
    13. Cadini, F. & Zio, E. & Petrescu, C.A., 2010. "Optimal expansion of an existing electrical power transmission network by multi-objective genetic algorithms," Reliability Engineering and System Safety, Elsevier, vol. 95(3), pages 173-181.
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