State estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniques

Abstract The increasing integration of solar and wind energy into modern power grids introduces challenges in maintaining voltage and frequency stability due to their intermittent and uncertain nature. This study evaluates the performance of three advanced state observers: extended Kalman filter (EK...

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Main Author: Abdulelah Alharbi
Format: Article
Language:English
Published: Nature Portfolio 2025-08-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-10171-2
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author Abdulelah Alharbi
author_facet Abdulelah Alharbi
author_sort Abdulelah Alharbi
collection DOAJ
description Abstract The increasing integration of solar and wind energy into modern power grids introduces challenges in maintaining voltage and frequency stability due to their intermittent and uncertain nature. This study evaluates the performance of three advanced state observers: extended Kalman filter (EKF), unscented Kalman filter (UKF), and cubature Kalman filter (CKF) for real-time monitoring and stability assessment in solar and wind-integrated grids (SAWIG). The analysis focuses on estimation accuracy, convergence speed, and classification performance under varying phasor measurement unit (PMU) sampling rates. Simulation results reveal that the CKF achieves the lowest root mean square error (RMSE) of 0.005 at a 10 Hz sampling rate, outperforming the UKF (0.007) and EKF (0.010). In terms of dynamic performance, CKF stabilizes within 0.1 s, while UKF and EKF require 0.2 and 0.4 s, respectively. Classification evaluation shows that CKF achieves the highest accuracy of 99.5%, with precision, recall, and F1-score of 99.2, 99.3, and 99.4%, respectively. In contrast, UKF reports values of 98.8, 98.5, 98.7, and 98.6%, while EKF records 97.6, 96.9, 97.1, and 97.3%. Confusion matrix analysis further confirms a classification accuracy of 95% for CKF. These results demonstrate its robustness, speed, and precision in ensuring reliable state estimation for voltage and frequency stability in renewable-integrated smart grids.
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spelling doaj-art-e76c6905e0e64d59a3e9d2055be63fed2025-08-20T03:42:48ZengNature PortfolioScientific Reports2045-23222025-08-0115112010.1038/s41598-025-10171-2State estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniquesAbdulelah Alharbi0Department of Electrical Engineering, College of Engineering, Qassim UniversityAbstract The increasing integration of solar and wind energy into modern power grids introduces challenges in maintaining voltage and frequency stability due to their intermittent and uncertain nature. This study evaluates the performance of three advanced state observers: extended Kalman filter (EKF), unscented Kalman filter (UKF), and cubature Kalman filter (CKF) for real-time monitoring and stability assessment in solar and wind-integrated grids (SAWIG). The analysis focuses on estimation accuracy, convergence speed, and classification performance under varying phasor measurement unit (PMU) sampling rates. Simulation results reveal that the CKF achieves the lowest root mean square error (RMSE) of 0.005 at a 10 Hz sampling rate, outperforming the UKF (0.007) and EKF (0.010). In terms of dynamic performance, CKF stabilizes within 0.1 s, while UKF and EKF require 0.2 and 0.4 s, respectively. Classification evaluation shows that CKF achieves the highest accuracy of 99.5%, with precision, recall, and F1-score of 99.2, 99.3, and 99.4%, respectively. In contrast, UKF reports values of 98.8, 98.5, 98.7, and 98.6%, while EKF records 97.6, 96.9, 97.1, and 97.3%. Confusion matrix analysis further confirms a classification accuracy of 95% for CKF. These results demonstrate its robustness, speed, and precision in ensuring reliable state estimation for voltage and frequency stability in renewable-integrated smart grids.https://doi.org/10.1038/s41598-025-10171-2Cubature Kalman filterExtended Kalman filterSolar and wind energySolar and wind integrated power gridsState estimationUnscented Kalman filter
spellingShingle Abdulelah Alharbi
State estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniques
Scientific Reports
Cubature Kalman filter
Extended Kalman filter
Solar and wind energy
Solar and wind integrated power grids
State estimation
Unscented Kalman filter
title State estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniques
title_full State estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniques
title_fullStr State estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniques
title_full_unstemmed State estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniques
title_short State estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniques
title_sort state estimation of voltage and frequency stability in solar wind integrated grids using multiple filtering techniques
topic Cubature Kalman filter
Extended Kalman filter
Solar and wind energy
Solar and wind integrated power grids
State estimation
Unscented Kalman filter
url https://doi.org/10.1038/s41598-025-10171-2
work_keys_str_mv AT abdulelahalharbi stateestimationofvoltageandfrequencystabilityinsolarwindintegratedgridsusingmultiplefilteringtechniques