2013
DOI: 10.1109/tpwrs.2012.2213618
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Simplified Cross-Entropy Based Approach for Generating Capacity Reliability Assessment

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Cited by 34 publications
(20 citation statements)
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“…5, which shows that the proposed method is more efficient than the CSMC method. Also, there is a plot hereafter showing the estimate of LOLE with respect to the number of simulation runs, which clearly illustrates the increased convergence speed of the proposed method (see Figs 6,8,10 and 12). It is worth mentioning that as the system failure event is rare in such a short T L , reliability metrics as LOLE obtained by the CSMC method need a huge number of simulation runs, for example, 100 000 in our numerical studies, to converge (Fig.…”
Section: Efficient Gain Studiesmentioning
confidence: 81%
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“…5, which shows that the proposed method is more efficient than the CSMC method. Also, there is a plot hereafter showing the estimate of LOLE with respect to the number of simulation runs, which clearly illustrates the increased convergence speed of the proposed method (see Figs 6,8,10 and 12). It is worth mentioning that as the system failure event is rare in such a short T L , reliability metrics as LOLE obtained by the CSMC method need a huge number of simulation runs, for example, 100 000 in our numerical studies, to converge (Fig.…”
Section: Efficient Gain Studiesmentioning
confidence: 81%
“…It can be noted that, in order to solve (11) in the two stages, two stop criteria are defined to assist in simulating the needed system state transition paths, respectively: Criterion (1) hitting any system failure state, and Criterion (2) reaching the end of a specific lead time. For the sake of clarity, in the first simulation stage under Criterion (1), the duration of Γ k , T G k , should replace T L in (8) to update the relevant parameters. Thus, the resulting likelihood can be expressed as followŝ…”
Section: Ideas Underlining the Proposed Methodsmentioning
confidence: 99%
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“…Large amount of following studies have successively introduced the concepts of the expansion of Hartley entropy and Shannon entropy [16], relative entropy [17], cumulative residual entropy [18][19][20][21], joint entropy [22,23], conditional entropy [24][25][26], mutual information [27][28][29][30][31][32], cross entropy [33][34][35][36][37][38], fuzzy entropy [15,39], maximum entropy principle [40,41] and minimum cross-entropy principle [42,43], and a series of achievements have been made in these aspects. Zhong makes use of general information functions to unify the methods of describing information metrics with Entropy formulas [4].…”
Section: About the Metrics Of Informationmentioning
confidence: 99%
“…Therefore, probabilistic methods, which are able to capture the random behaviour of units and load fluctuations, have replaced deterministic approaches and are widely being used to evaluate the system adequacy [48].…”
Section: Total System Generationmentioning
confidence: 99%