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

Amir Abdel Menaem, Rustam Valiev, Vladislav Oboskalov, Taher S. Hassan, Hegazy Rezk and Mohamed N. Ibrahim
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Amir Abdel Menaem: Electrical Engineering Department, Mansoura University, Mansoura 35516, Egypt
Rustam Valiev: Department of Automated Electric Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia
Vladislav Oboskalov: Department of Automated Electric Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia
Taher S. Hassan: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Hegazy Rezk: College of Engineering at Wadi Addawaser, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Mohamed N. Ibrahim: Electrical Engineering Department, Kafrelshiekh University, Kafr El-Sheikh 33511, Egypt

Mathematics, 2020, vol. 8, issue 11, 1-21

Abstract: 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.

Keywords: cross entropy method; importance sampling technique; power system adequacy; rare events simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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