Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding

Aimed at the problem of high dimension and nonlinearity of variable data in chemical process, a process fault detection algorithm based on neighborhood preserving embedding(NPE )-principal polynomial analysis (PPA) is proposed in this paper. The NPE algorithm is used to extract low dimensional subma...

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Main Author: LI Yuan, YAO Zongyu
Format: Article
Language:zho
Published: Editorial Office of Journal of Shanghai Jiao Tong University 2021-08-01
Series:Shanghai Jiaotong Daxue xuebao
Subjects:
Online Access:http://xuebao.sjtu.edu.cn/article/2021/1006-2467/1006-2467-55-8-1001.shtml
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author LI Yuan, YAO Zongyu
author_facet LI Yuan, YAO Zongyu
author_sort LI Yuan, YAO Zongyu
collection DOAJ
description Aimed at the problem of high dimension and nonlinearity of variable data in chemical process, a process fault detection algorithm based on neighborhood preserving embedding(NPE )-principal polynomial analysis (PPA) is proposed in this paper. The NPE algorithm is used to extract low dimensional submanifolds of high dimensional data, which overcomes the problem that the traditional linear dimensionality reduction algorithm cannot extract local structure information, so as to reduce the dimensions. The PPA method is used to describe data by a set of flexible principal polynomial components, which can effectively capture the inherent nonlinear structure of process data. The principal polynomial analysis is conducted in the reduced manifold space, and Hotelling’s T2 and square prediction error statistical models are established to determine the control limit for fault detection. Finally, compared with the traditional kernel principal component analysis and the PPA method, a group of nonlinear numerical examples and Tennessee Eastman chemical process data experiments are performed to verify the effectiveness and superiority of the NPE-PPA algorithm.
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spelling doaj.art-b788fe2257ba48c587542277a82390a02022-12-21T21:45:57ZzhoEditorial Office of Journal of Shanghai Jiao Tong UniversityShanghai Jiaotong Daxue xuebao1006-24672021-08-015581001100810.16183/j.cnki.jsjtu.2020.295Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving EmbeddingLI Yuan, YAO Zongyu0College of Information Engineering, Shenyang University of Chemical Technology, Shenyang 110142, ChinaAimed at the problem of high dimension and nonlinearity of variable data in chemical process, a process fault detection algorithm based on neighborhood preserving embedding(NPE )-principal polynomial analysis (PPA) is proposed in this paper. The NPE algorithm is used to extract low dimensional submanifolds of high dimensional data, which overcomes the problem that the traditional linear dimensionality reduction algorithm cannot extract local structure information, so as to reduce the dimensions. The PPA method is used to describe data by a set of flexible principal polynomial components, which can effectively capture the inherent nonlinear structure of process data. The principal polynomial analysis is conducted in the reduced manifold space, and Hotelling’s T2 and square prediction error statistical models are established to determine the control limit for fault detection. Finally, compared with the traditional kernel principal component analysis and the PPA method, a group of nonlinear numerical examples and Tennessee Eastman chemical process data experiments are performed to verify the effectiveness and superiority of the NPE-PPA algorithm.http://xuebao.sjtu.edu.cn/article/2021/1006-2467/1006-2467-55-8-1001.shtmlneighborhood preserving embedding (npe)principal polynomial analysis (ppa)nonlinear processfault detection
spellingShingle LI Yuan, YAO Zongyu
Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding
Shanghai Jiaotong Daxue xuebao
neighborhood preserving embedding (npe)
principal polynomial analysis (ppa)
nonlinear process
fault detection
title Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding
title_full Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding
title_fullStr Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding
title_full_unstemmed Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding
title_short Principal Polynomial Nonlinear Process Fault Detection Based on Neighborhood Preserving Embedding
title_sort principal polynomial nonlinear process fault detection based on neighborhood preserving embedding
topic neighborhood preserving embedding (npe)
principal polynomial analysis (ppa)
nonlinear process
fault detection
url http://xuebao.sjtu.edu.cn/article/2021/1006-2467/1006-2467-55-8-1001.shtml
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