LAPSE:2023.7022
Published Article

LAPSE:2023.7022
A Wind Power Probabilistic Model Using the Reflection Method and Multi-Kernel Function Kernel Density Estimation
February 24, 2023
Abstract
This paper proposes a wind power probabilistic model (WPPM) using the reflection method and multi-kernel function kernel density estimation (KDE). With the increasing penetration of renewable energy sources (RESs) into power systems, several probabilistic approaches have been introduced to assess the impact of RESs on the power system. A probabilistic approach requires a wind power scenario (WPS), and the WPS is generated from the WPPM. Previously, WPPM was generated using a parametric density estimation, and it had limitations in reflecting the characteristics of wind power data (WPD) due to a boundary bias problem. The paper proposes a WPPM generated using the KDE, which is a non-parametric method. Additionally, the paper proposes a reflection method correcting for the boundary bias problem caused by the double-bounded characteristic of the WPD and the multi-kernel function KDE minimizing the effect of tied values. Six bandwidth selectors are used to calculate the bandwidth for the KDE, and one is selected by analyzing the correlation between the normalized WPD and the calculated bandwidth. The results were validated by generating WPPMs with WPDs in six regions of the Republic of Korea, and it was confirmed that the accuracy and goodness-of-fit are improved when the proposed method is used.
This paper proposes a wind power probabilistic model (WPPM) using the reflection method and multi-kernel function kernel density estimation (KDE). With the increasing penetration of renewable energy sources (RESs) into power systems, several probabilistic approaches have been introduced to assess the impact of RESs on the power system. A probabilistic approach requires a wind power scenario (WPS), and the WPS is generated from the WPPM. Previously, WPPM was generated using a parametric density estimation, and it had limitations in reflecting the characteristics of wind power data (WPD) due to a boundary bias problem. The paper proposes a WPPM generated using the KDE, which is a non-parametric method. Additionally, the paper proposes a reflection method correcting for the boundary bias problem caused by the double-bounded characteristic of the WPD and the multi-kernel function KDE minimizing the effect of tied values. Six bandwidth selectors are used to calculate the bandwidth for the KDE, and one is selected by analyzing the correlation between the normalized WPD and the calculated bandwidth. The results were validated by generating WPPMs with WPDs in six regions of the Republic of Korea, and it was confirmed that the accuracy and goodness-of-fit are improved when the proposed method is used.
Record ID
Keywords
bandwidth selection, kernel density estimation, probabilistic model, sampling-based method, scenario generation, wind power output
Subject
Suggested Citation
Choi J, Eom H, Baek SM. A Wind Power Probabilistic Model Using the Reflection Method and Multi-Kernel Function Kernel Density Estimation. (2023). LAPSE:2023.7022
Author Affiliations
Choi J: Department of Electrical, Electronic, and Control Engineering, Institute of IT Convergence Technology, Kongju National University, Cheonan 31080, Republic of Korea
Eom H: Department of Electrical, Electronic, and Control Engineering, Institute of IT Convergence Technology, Kongju National University, Cheonan 31080, Republic of Korea [ORCID]
Baek SM: Department of Electrical, Electronic, and Control Engineering, Institute of IT Convergence Technology, Kongju National University, Cheonan 31080, Republic of Korea [ORCID]
Eom H: Department of Electrical, Electronic, and Control Engineering, Institute of IT Convergence Technology, Kongju National University, Cheonan 31080, Republic of Korea [ORCID]
Baek SM: Department of Electrical, Electronic, and Control Engineering, Institute of IT Convergence Technology, Kongju National University, Cheonan 31080, Republic of Korea [ORCID]
Journal Name
Energies
Volume
15
Issue
24
First Page
9436
Year
2022
Publication Date
2022-12-13
ISSN
1996-1073
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Original Submission
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PII: en15249436, Publication Type: Journal Article
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LAPSE:2023.7022
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https://doi.org/10.3390/en15249436
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Feb 24, 2023
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