Improved Particle Filter for Non-Gaussian Forecasting-aided State Estimation

Gaussian assumptions of non-Gaussian noises hinder the improvement of state estimation accuracy. In this paper, an asymmetric generalized Gaussian distribution (AGGD), as a unified representation of various unimodal distributions, is applied to formulate the non-Gaussian forecasting-aided state esti...

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Main Authors: Lyuzerui Yuan, Jie Gu, Honglin Wen, Zhijian Jin
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:Journal of Modern Power Systems and Clean Energy
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9808354/
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author Lyuzerui Yuan
Jie Gu
Honglin Wen
Zhijian Jin
author_facet Lyuzerui Yuan
Jie Gu
Honglin Wen
Zhijian Jin
author_sort Lyuzerui Yuan
collection DOAJ
description Gaussian assumptions of non-Gaussian noises hinder the improvement of state estimation accuracy. In this paper, an asymmetric generalized Gaussian distribution (AGGD), as a unified representation of various unimodal distributions, is applied to formulate the non-Gaussian forecasting-aided state estimation problem. To address the problem, an improved particle filter is proposed, which integrates a near-optimal AGGD proposal function and an AGGD sampling method into the typical particle filter. The AGGD proposal function can approximate the target distribution of state variables to greatly alleviate particle degeneracy and promote precise estimation, through considering both state transitions and latest measurements. For rapid particle generation from the AGGD proposal function, an efficient inverse cumulative distribution function (CDF) sampling method is employed based on the derived approximation of inverse CDF of AGGD. Numerical simulations are carried out on a modified balanced IEEE 123-bus test system. The results validate that the proposed method outperforms other popular state estimation methods in terms of accuracy and robustness, whether in Gaussian, non-Gaussian, or abnormal measurement errors.
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spelling doaj.art-b126adde1cbf4b478523c2be8b72edd62023-07-27T23:00:23ZengIEEEJournal of Modern Power Systems and Clean Energy2196-54202023-01-011141075108510.35833/MPCE.2021.0008059808354Improved Particle Filter for Non-Gaussian Forecasting-aided State EstimationLyuzerui Yuan0Jie Gu1Honglin Wen2Zhijian Jin3Shanghai Jiao Tong University,School of Electronic Information and Electrical Engineering,Shanghai,China,200240Shanghai Jiao Tong University,School of Electronic Information and Electrical Engineering,Shanghai,China,200240Shanghai Jiao Tong University,School of Electronic Information and Electrical Engineering,Shanghai,China,200240Shanghai Jiao Tong University,School of Electronic Information and Electrical Engineering,Shanghai,China,200240Gaussian assumptions of non-Gaussian noises hinder the improvement of state estimation accuracy. In this paper, an asymmetric generalized Gaussian distribution (AGGD), as a unified representation of various unimodal distributions, is applied to formulate the non-Gaussian forecasting-aided state estimation problem. To address the problem, an improved particle filter is proposed, which integrates a near-optimal AGGD proposal function and an AGGD sampling method into the typical particle filter. The AGGD proposal function can approximate the target distribution of state variables to greatly alleviate particle degeneracy and promote precise estimation, through considering both state transitions and latest measurements. For rapid particle generation from the AGGD proposal function, an efficient inverse cumulative distribution function (CDF) sampling method is employed based on the derived approximation of inverse CDF of AGGD. Numerical simulations are carried out on a modified balanced IEEE 123-bus test system. The results validate that the proposed method outperforms other popular state estimation methods in terms of accuracy and robustness, whether in Gaussian, non-Gaussian, or abnormal measurement errors.https://ieeexplore.ieee.org/document/9808354/State estimationparticle filterasymmetric generalized Gaussian distributionnon-Gaussian noise
spellingShingle Lyuzerui Yuan
Jie Gu
Honglin Wen
Zhijian Jin
Improved Particle Filter for Non-Gaussian Forecasting-aided State Estimation
Journal of Modern Power Systems and Clean Energy
State estimation
particle filter
asymmetric generalized Gaussian distribution
non-Gaussian noise
title Improved Particle Filter for Non-Gaussian Forecasting-aided State Estimation
title_full Improved Particle Filter for Non-Gaussian Forecasting-aided State Estimation
title_fullStr Improved Particle Filter for Non-Gaussian Forecasting-aided State Estimation
title_full_unstemmed Improved Particle Filter for Non-Gaussian Forecasting-aided State Estimation
title_short Improved Particle Filter for Non-Gaussian Forecasting-aided State Estimation
title_sort improved particle filter for non gaussian forecasting aided state estimation
topic State estimation
particle filter
asymmetric generalized Gaussian distribution
non-Gaussian noise
url https://ieeexplore.ieee.org/document/9808354/
work_keys_str_mv AT lyuzeruiyuan improvedparticlefilterfornongaussianforecastingaidedstateestimation
AT jiegu improvedparticlefilterfornongaussianforecastingaidedstateestimation
AT honglinwen improvedparticlefilterfornongaussianforecastingaidedstateestimation
AT zhijianjin improvedparticlefilterfornongaussianforecastingaidedstateestimation