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<p>Motivated by practical engineering systems, this paper studies an assessment method for dynamic reliability of a discrete time multi-state star configuration power grid system with performance sharing. The proposed star configuration power grid system consists of n power generation subsystems fixed in star-terminal and one central collection and redistribution subsystem. The star-terminal subsystems with sufficient electric power can first transmit the surplus electric power to the central subsystem, and then the collected electric power in central subsystem is further redistributed to the star-terminal subsystems which are experiencing electric power deficiency through the corresponded transmission links. An algorithm based on the universal generating function (UGF) technique is presented to evaluate the dynamic reliability of the proposed power grid system with performance sharing. Finally, a numerical example and a case study are used to illustrate the accuracy of the proposed model and method. Studies indicate that the steady reliability of the proposed power grid system is improved by 9.41% and 37.28% for the numerical example when comparing the calculation results between performance sharing, unlimited performance sharing and no performance sharing. In the case study, the dynamic reliability of the proposed power grid system increased by 11.5% when comparing the calculation results between with performance sharing and no performance sharing when <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="500_2025_10478_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="TEX">\(k\to \infty \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo stretchy="false">→</mo> <mi>∞</mi> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Reliability analysis of discrete-time multi-state star configuration power grid systems with performance sharing

  • 期刊论文

  • 发表日期：

    2025年2月28日

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  • Peng Su,
  • Keyong Zhang,
  • Honghua Shi

摘要

Motivated by practical engineering systems, this paper studies an assessment method for dynamic reliability of a discrete time multi-state star configuration power grid system with performance sharing. The proposed star configuration power grid system consists of n power generation subsystems fixed in star-terminal and one central collection and redistribution subsystem. The star-terminal subsystems with sufficient electric power can first transmit the surplus electric power to the central subsystem, and then the collected electric power in central subsystem is further redistributed to the star-terminal subsystems which are experiencing electric power deficiency through the corresponded transmission links. An algorithm based on the universal generating function (UGF) technique is presented to evaluate the dynamic reliability of the proposed power grid system with performance sharing. Finally, a numerical example and a case study are used to illustrate the accuracy of the proposed model and method. Studies indicate that the steady reliability of the proposed power grid system is improved by 9.41% and 37.28% for the numerical example when comparing the calculation results between performance sharing, unlimited performance sharing and no performance sharing. In the case study, the dynamic reliability of the proposed power grid system increased by 11.5% when comparing the calculation results between with performance sharing and no performance sharing when \(k\to \infty \) k → ∞ .