A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids

Abstract Although detailed analytical models for droop-controlled microgrids are available, they are computationally complex and do not consider real-time variations in microgrid parameters and operating conditions. This paper proposes Kurtosis-Estimation of Signal Parameters via Rotational Invarian...

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Main Authors: Adham Osama, Abdallah F. El-Hamalawy, Mohammed E. Ammar, Amr M. AbdelAty, Hatem H. Zeineldin, Tarek H. M. EL-Fouly, Ehab F. El-Saadany
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-84675-8
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author Adham Osama
Abdallah F. El-Hamalawy
Mohammed E. Ammar
Amr M. AbdelAty
Hatem H. Zeineldin
Tarek H. M. EL-Fouly
Ehab F. El-Saadany
author_facet Adham Osama
Abdallah F. El-Hamalawy
Mohammed E. Ammar
Amr M. AbdelAty
Hatem H. Zeineldin
Tarek H. M. EL-Fouly
Ehab F. El-Saadany
author_sort Adham Osama
collection DOAJ
description Abstract Although detailed analytical models for droop-controlled microgrids are available, they are computationally complex and do not consider real-time variations in microgrid parameters and operating conditions. This paper proposes Kurtosis-Estimation of Signal Parameters via Rotational Invariance Technique (ESPRIT) to identify the dominant modes in droop-controlled inverter-based microgrids (IBMGs) using local real-time measurements. In the proposed approach, a short-duration small disturbance is applied to the selected DG’s active power droop gain, and then, the system’s dominant modes are estimated from its local measurements. Additionally, a kurtosis measure is proposed as a quick measure to assess the estimation signal’s characteristics and evaluate the presence and prominence of significant modes within the signal. The effectiveness of the developed approach is validated via MATLAB/SIMULINK simulations. Four case studies were conducted to verify the robustness of the proposed algorithm as follows: under different values of active power droop gains, several variations of lines’ X/R ratios, various levels of noise, and under large load changes and topological disturbances. Besides, a controller-in-the-loop (CIL) experiment was conducted using OPAL-RT to provide a real-time validation of the results. The modes obtained from the proposed algorithm are validated against the analytically derived modes and the estimation accuracy is compared to the recent methods: Prony, Matrix Pencil, and Subspace Identification techniques. Results show higher estimation accuracy for the proposed approach with a robust performance in noisy environments, across varying load conditions, and under different network configurations.
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spelling doaj-art-3666ae6f0c124b45b60991b0dd0493172025-01-19T12:17:52ZengNature PortfolioScientific Reports2045-23222025-01-0115112010.1038/s41598-024-84675-8A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgridsAdham Osama0Abdallah F. El-Hamalawy1Mohammed E. Ammar2Amr M. AbdelAty3Hatem H. Zeineldin4Tarek H. M. EL-Fouly5Ehab F. El-Saadany6Advanced Power and Energy Center (APEC), Electrical Engineering Department, Khalifa UniversityElectrical Power Engineering Department, Faculty of Engineering, Cairo UniversityElectrical Power Engineering Department, Faculty of Engineering, Cairo UniversityAdvanced Power and Energy Center (APEC), Electrical Engineering Department, Khalifa UniversityAdvanced Power and Energy Center (APEC), Electrical Engineering Department, Khalifa UniversityAdvanced Power and Energy Center (APEC), Electrical Engineering Department, Khalifa UniversityAdvanced Power and Energy Center (APEC), Electrical Engineering Department, Khalifa UniversityAbstract Although detailed analytical models for droop-controlled microgrids are available, they are computationally complex and do not consider real-time variations in microgrid parameters and operating conditions. This paper proposes Kurtosis-Estimation of Signal Parameters via Rotational Invariance Technique (ESPRIT) to identify the dominant modes in droop-controlled inverter-based microgrids (IBMGs) using local real-time measurements. In the proposed approach, a short-duration small disturbance is applied to the selected DG’s active power droop gain, and then, the system’s dominant modes are estimated from its local measurements. Additionally, a kurtosis measure is proposed as a quick measure to assess the estimation signal’s characteristics and evaluate the presence and prominence of significant modes within the signal. The effectiveness of the developed approach is validated via MATLAB/SIMULINK simulations. Four case studies were conducted to verify the robustness of the proposed algorithm as follows: under different values of active power droop gains, several variations of lines’ X/R ratios, various levels of noise, and under large load changes and topological disturbances. Besides, a controller-in-the-loop (CIL) experiment was conducted using OPAL-RT to provide a real-time validation of the results. The modes obtained from the proposed algorithm are validated against the analytically derived modes and the estimation accuracy is compared to the recent methods: Prony, Matrix Pencil, and Subspace Identification techniques. Results show higher estimation accuracy for the proposed approach with a robust performance in noisy environments, across varying load conditions, and under different network configurations.https://doi.org/10.1038/s41598-024-84675-8Distributed generationDroop controlESPRIT techniqueKurtosis measureLow-frequency oscillationsMicrogrids
spellingShingle Adham Osama
Abdallah F. El-Hamalawy
Mohammed E. Ammar
Amr M. AbdelAty
Hatem H. Zeineldin
Tarek H. M. EL-Fouly
Ehab F. El-Saadany
A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids
Scientific Reports
Distributed generation
Droop control
ESPRIT technique
Kurtosis measure
Low-frequency oscillations
Microgrids
title A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids
title_full A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids
title_fullStr A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids
title_full_unstemmed A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids
title_short A kurtosis-ESPRIT algorithm for RealTime stability assessment in droop controlled microgrids
title_sort kurtosis esprit algorithm for realtime stability assessment in droop controlled microgrids
topic Distributed generation
Droop control
ESPRIT technique
Kurtosis measure
Low-frequency oscillations
Microgrids
url https://doi.org/10.1038/s41598-024-84675-8
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