An Efficient Framework for Adequacy Evaluation through Extraction of Rare Load Curtailment Events in Composite Power Systems

With the growing robustness of modern power systems, the occurrence of load curtailment events is becoming lower. Hence, the simulation of these events constitutes a challenge in adequacy indices assessment. Due to the rarity of the load curtailment events, the standard Monte Carlo simulation (MCS)...

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Bibliographic Details
Published in:Mathematics (Basel) 2020-11, Vol.8 (11), p.2021
Main Authors: Abdel Menaem, Amir, Valiev, Rustam, Oboskalov, Vladislav, Hassan, Taher S., Rezk, Hegazy, Ibrahim, Mohamed N.
Format: Article
Language:English
Subjects:
Accuracy
Adequacy
cross entropy method
Electric power
Entropy (Information theory)
Food science
Importance sampling
importance sampling technique
Load
Methods
Monte Carlo simulation
power system adequacy
Probability
Random variables
rare events simulation
Sampling techniques
Simulation
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Summary:With the growing robustness of modern power systems, the occurrence of load curtailment events is becoming lower. Hence, the simulation of these events constitutes a challenge in adequacy indices assessment. Due to the rarity of the load curtailment events, the standard Monte Carlo simulation (MCS) estimator of adequacy indices is not practical. Therefore, a framework based on the enhanced cross-entropy-based importance sampling (ECE-IS) method is introduced in this paper for computing the adequacy indices. The framework comprises two stages. Using the proposed ECE-IS method, the first stage’s purpose is to identify the samples or states of the nodal generation and load that are greatly significant to the adequacy indices estimators. In the second stage, the density of the input variables’ conditional on the load curtailment domain obtained by the first stage are used to compute the nodal and system adequacy indices. The performance of the ECE-IS method is verified through a comparison with the standard MCS method and the recent techniques of rare events simulation in literature. The results confirm that the proposed method develops an accurate estimation for the nodal and system adequacy indices (loss of load probability (LOLP), expected power not supplied (EPNS)) with appropriate convergence value and low computation time.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8112021