Traceless Kalman filter threshold estimation for distributed power loads

Load forecasting is an important part of smart grid construction, energy management, and sustainable design of power systems, and has a great impact on the reliable operation of power grids, facility planning and other decisions. In this paper, we utilize the traceless transform of the UKF algorithm...

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Main Authors: Bao Chengjia, Zhang Tianyi, Hu Zhixi
Format: Article
Language:English
Published: Sciendo 2024-01-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2023.2.01681
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author Bao Chengjia
Zhang Tianyi
Hu Zhixi
author_facet Bao Chengjia
Zhang Tianyi
Hu Zhixi
author_sort Bao Chengjia
collection DOAJ
description Load forecasting is an important part of smart grid construction, energy management, and sustainable design of power systems, and has a great impact on the reliable operation of power grids, facility planning and other decisions. In this paper, we utilize the traceless transform of the UKF algorithm to obtain the sigma feature points generated by the mean value of the high-frequency wavelet components of the power signals and combine them with the EKF algorithm. We put forward a novel neural network hybrid Kalman TUKF algorithm, which will be used to carry out simulation experiments on the distributed electric loads and to estimate the threshold value of the loads in the numerical experiments. The results show that in comparison with the actual measurements, the TUKF algorithm improves by 34.7% in the RMSE metrics, 38.7% in the MAE metrics, and 40.6% in the MAPE metrics compared to the PFWNN. The TUKF algorithm is closer to the real curves and has the best prediction performance for all the time intervals of the prediction. The change of the threshold value has a more obvious effect on the prediction accuracy, and the best effect is in the scale δ = 0.5, i.e., the threshold frequency is selected as the middle value of the intermediate frequency.
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spelling doaj.art-8e34237091a74394bdc2e6b84de207ab2024-01-29T08:52:45ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562024-01-019110.2478/amns.2023.2.01681Traceless Kalman filter threshold estimation for distributed power loadsBao Chengjia0Zhang Tianyi1Hu Zhixi21State Grid Gansu Electric Power Company, Lanzhou, Gansu, 730030, China.2State Grid Lanzhou Electric Power Supply Company, Lanzhou, Gansu, 730070, China.2State Grid Lanzhou Electric Power Supply Company, Lanzhou, Gansu, 730070, China.Load forecasting is an important part of smart grid construction, energy management, and sustainable design of power systems, and has a great impact on the reliable operation of power grids, facility planning and other decisions. In this paper, we utilize the traceless transform of the UKF algorithm to obtain the sigma feature points generated by the mean value of the high-frequency wavelet components of the power signals and combine them with the EKF algorithm. We put forward a novel neural network hybrid Kalman TUKF algorithm, which will be used to carry out simulation experiments on the distributed electric loads and to estimate the threshold value of the loads in the numerical experiments. The results show that in comparison with the actual measurements, the TUKF algorithm improves by 34.7% in the RMSE metrics, 38.7% in the MAE metrics, and 40.6% in the MAPE metrics compared to the PFWNN. The TUKF algorithm is closer to the real curves and has the best prediction performance for all the time intervals of the prediction. The change of the threshold value has a more obvious effect on the prediction accuracy, and the best effect is in the scale δ = 0.5, i.e., the threshold frequency is selected as the middle value of the intermediate frequency.https://doi.org/10.2478/amns.2023.2.01681power loadukf algorithmwavelet neural networkthresholdtukf algorithm11l07
spellingShingle Bao Chengjia
Zhang Tianyi
Hu Zhixi
Traceless Kalman filter threshold estimation for distributed power loads
Applied Mathematics and Nonlinear Sciences
power load
ukf algorithm
wavelet neural network
threshold
tukf algorithm
11l07
title Traceless Kalman filter threshold estimation for distributed power loads
title_full Traceless Kalman filter threshold estimation for distributed power loads
title_fullStr Traceless Kalman filter threshold estimation for distributed power loads
title_full_unstemmed Traceless Kalman filter threshold estimation for distributed power loads
title_short Traceless Kalman filter threshold estimation for distributed power loads
title_sort traceless kalman filter threshold estimation for distributed power loads
topic power load
ukf algorithm
wavelet neural network
threshold
tukf algorithm
11l07
url https://doi.org/10.2478/amns.2023.2.01681
work_keys_str_mv AT baochengjia tracelesskalmanfilterthresholdestimationfordistributedpowerloads
AT zhangtianyi tracelesskalmanfilterthresholdestimationfordistributedpowerloads
AT huzhixi tracelesskalmanfilterthresholdestimationfordistributedpowerloads