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Optimal configuration of a power grid system with a dynamic performance sharing mechanism

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  • Yan, Xiangbin
  • Qiu, Hui
  • Peng, Rui
  • Wu, Shaomin

Abstract

Performance sharing is an effective policy for a power grid system to satisfy the power demand of different districts to greatest extent. Through transmission lines, the districts with sufficient power can share the redundant power with the districts with power deficit. The existing research has incorporated the performance sharing mechanism into systems with simple structures such as parallel systems and series-parallel systems. However, little concentration has been spent on more complex structures. This necessitates the need of this paper that models a power distribution with a more complex reliability structure. We assume that the system is composed of generators and nodes. Both the performance of each generator and the demand of each node in the network are assumed to be random variables. This paper first proposes a dynamic performance sharing policy to minimize the unsupplied demand for a given system with fixed capacity and demand. The optimal allocation of generators, which minimizes the expected system unsupplied demand, is then studied. Numerical examples are proposed to illustrate the applications of the proposed procedures.

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  • Yan, Xiangbin & Qiu, Hui & Peng, Rui & Wu, Shaomin, 2020. "Optimal configuration of a power grid system with a dynamic performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:reensy:v:193:y:2020:i:c:s0951832019304727
    DOI: 10.1016/j.ress.2019.106613
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    as
    1. X Wang & L Tang, 2011. "Scheduling a single machine with multiple job processing ability to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(8), pages 1555-1565, August.
    2. Stephen Frank & Steffen Rebennack, 2016. "An introduction to optimal power flow: Theory, formulation, and examples," IISE Transactions, Taylor & Francis Journals, vol. 48(12), pages 1172-1197, December.
    3. Wu, Di & Chi, Yuanying & Peng, Rui & Sun, Mengyao, 2019. "Reliability of capacitated systems with performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 335-344.
    4. Xiao, Hui & Shi, Daimin & Ding, Yi & Peng, Rui, 2016. "Optimal loading and protection of multi-state systems considering performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 88-95.
    5. Zhai, Qingqing & Xing, Liudong & Peng, Rui & Yang, Jun, 2018. "Aggregated combinatorial reliability model for non-repairable parallel phased-mission systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 242-250.
    6. Lisnianski, Anatoly, 2007. "Extended block diagram method for a multi-state system reliability assessment," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1601-1607.
    7. Rodgers, Mark & Coit, David & Felder, Frank & Carlton, Annmarie, 2019. "Assessing the effects of power grid expansion on human health externalities," Socio-Economic Planning Sciences, Elsevier, vol. 66(C), pages 92-104.
    8. Zhang, Jingrui & Tang, Qinghui & Chen, Yalin & Lin, Shuang, 2016. "A hybrid particle swarm optimization with small population size to solve the optimal short-term hydro-thermal unit commitment problem," Energy, Elsevier, vol. 109(C), pages 765-780.
    9. Li, Yan-Fu & Zio, Enrico, 2012. "A multi-state model for the reliability assessment of a distributed generation system via universal generating function," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 28-36.
    10. Lisnianski, Anatoly & Ding, Yi, 2009. "Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1788-1795.
    11. Rui Peng, 2019. "Optimal component allocation in a multi-state system with hierarchical performance sharing groups," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(4), pages 581-587, April.
    12. Gregory Levitin, 2011. "Reliability of multi-state systems with common bus performance sharing," IISE Transactions, Taylor & Francis Journals, vol. 43(7), pages 518-524.
    13. Ye, Zhi-Sheng & Peng, Rui & Wang, Wenbin, 2017. "Defense and attack of performance-sharing common bus systemsAuthor-Name: Zhai, Qingqing," European Journal of Operational Research, Elsevier, vol. 256(3), pages 962-975.
    14. Lisnianski, Anatoly & Ding, Yi, 2016. "Using inverse Lz-transform for obtaining compact stochastic model of complex power station for short-term risk evaluation," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 19-27.
    15. Wheyming T. Song & Bruce W. Schmeiser, 2009. "Omitting Meaningless Digits in Point Estimates: The Probability Guarantee of Leading-Digit Rules," Operations Research, INFORMS, vol. 57(1), pages 109-117, February.
    16. Weidong Chen & Pengfei Zhai & Heng Zhu & Yongbo Zhang, 2014. "Hybrid algorithm for the two-dimensional rectangular layer-packing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(7), pages 1068-1077, July.
    17. Peng, Rui & Xiao, Hui & Liu, Hanlin, 2017. "Reliability of multi-state systems with a performance sharing group of limited size," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 164-170.
    18. Yu, Huan & Yang, Jun & Mo, Huadong, 2014. "Reliability analysis of repairable multi-state system with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 90-96.
    19. Faza, Ayman, 2018. "A probabilistic model for estimating the effects of photovoltaic sources on the power systems reliability," Reliability Engineering and System Safety, Elsevier, vol. 171(C), pages 67-77.
    20. Rui Peng & Min Xie & Szu Ng & Gregory Levitin, 2012. "Element maintenance and allocation for linear consecutively connected systems," IISE Transactions, Taylor & Francis Journals, vol. 44(11), pages 964-973.
    21. Qiang Liu & Hailin Zhang & Wei Su & Yanbo Ma, 2017. "Reliability evaluation for wireless sensor network with clustering structure based on universal generating function," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 11(1/2), pages 97-115.
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