Least Square Parallel Extreme Learning Machine for Modeling NO<sub>x</sub> Emission of a 300MW Circulating Fluidized Bed Boiler

It is very important to establish an accurate combustion characteristics model of a boiler to reduce NOx emission. In this paper, a novel least square parallel extreme learning machine (LSPELM) is firstly proposed, all of whose weights and thresholds are determined by using least square method twice...

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Main Authors: Xia Li, Jianping Liu, Peifeng Niu
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9078777/
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spelling doaj-ffe6141093524141b744abcb89a56fe62021-03-30T02:41:27ZengIEEEIEEE Access2169-35362020-01-018796197963610.1109/ACCESS.2020.29904409078777Least Square Parallel Extreme Learning Machine for Modeling NO<sub>x</sub> Emission of a 300MW Circulating Fluidized Bed BoilerXia Li0Jianping Liu1https://orcid.org/0000-0002-1151-4475Peifeng Niu2College of Mathematics and Information Technology, Hebei Normal University of Science and Technology, Qinhuangdao, ChinaCollege of Mathematics and Information Technology, Hebei Normal University of Science and Technology, Qinhuangdao, ChinaSchool of Electrical Engineering, Yanshan University, Qinhuangdao, ChinaIt is very important to establish an accurate combustion characteristics model of a boiler to reduce NOx emission. In this paper, a novel least square parallel extreme learning machine (LSPELM) is firstly proposed, all of whose weights and thresholds are determined by using least square method twice. Then, LSPELM is applied to 11 classical regression problems to test the validity. The experimental results show that, compared with other methods, LSPELM with a few hidden neurons can achieve good generalization and stability. Next, using Moore-Penrose generalized inverse theory and Woodbury formula, an online learning way of LSPELM (OLSPELM) based on sample increment is also proposed. If the samples of the current time are the same as those of the last time, the weights and thresholds of OLSPELM remain unchanged and are not updated. Only when the input samples of two times are different, can the weights and thresholds of OLSPELM be updated adaptively. Finally, LSPELM and OLSPELM are employed to successfully establish offline and online models of NOx emission concentration for a 300WM circulating fluidized bed boiler. The simulation results also show that LSPELM and OLSPELM have better nonlinear generalization ability and stability performance than some other state-of-the-art models. So, the proposed LSPELM and OLSPELM have good application value.https://ieeexplore.ieee.org/document/9078777/Artificial neural networkleast square parallel extreme learning machine (LSPELM)nOx emission modelonline LSPELM (OLSPELM)woodbury formula
collection DOAJ
language English
format Article
sources DOAJ
author Xia Li
Jianping Liu
Peifeng Niu
spellingShingle Xia Li
Jianping Liu
Peifeng Niu
Least Square Parallel Extreme Learning Machine for Modeling NO<sub>x</sub> Emission of a 300MW Circulating Fluidized Bed Boiler
IEEE Access
Artificial neural network
least square parallel extreme learning machine (LSPELM)
nOx emission model
online LSPELM (OLSPELM)
woodbury formula
author_facet Xia Li
Jianping Liu
Peifeng Niu
author_sort Xia Li
title Least Square Parallel Extreme Learning Machine for Modeling NO<sub>x</sub> Emission of a 300MW Circulating Fluidized Bed Boiler
title_short Least Square Parallel Extreme Learning Machine for Modeling NO<sub>x</sub> Emission of a 300MW Circulating Fluidized Bed Boiler
title_full Least Square Parallel Extreme Learning Machine for Modeling NO<sub>x</sub> Emission of a 300MW Circulating Fluidized Bed Boiler
title_fullStr Least Square Parallel Extreme Learning Machine for Modeling NO<sub>x</sub> Emission of a 300MW Circulating Fluidized Bed Boiler
title_full_unstemmed Least Square Parallel Extreme Learning Machine for Modeling NO<sub>x</sub> Emission of a 300MW Circulating Fluidized Bed Boiler
title_sort least square parallel extreme learning machine for modeling no<sub>x</sub> emission of a 300mw circulating fluidized bed boiler
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2020-01-01
description It is very important to establish an accurate combustion characteristics model of a boiler to reduce NOx emission. In this paper, a novel least square parallel extreme learning machine (LSPELM) is firstly proposed, all of whose weights and thresholds are determined by using least square method twice. Then, LSPELM is applied to 11 classical regression problems to test the validity. The experimental results show that, compared with other methods, LSPELM with a few hidden neurons can achieve good generalization and stability. Next, using Moore-Penrose generalized inverse theory and Woodbury formula, an online learning way of LSPELM (OLSPELM) based on sample increment is also proposed. If the samples of the current time are the same as those of the last time, the weights and thresholds of OLSPELM remain unchanged and are not updated. Only when the input samples of two times are different, can the weights and thresholds of OLSPELM be updated adaptively. Finally, LSPELM and OLSPELM are employed to successfully establish offline and online models of NOx emission concentration for a 300WM circulating fluidized bed boiler. The simulation results also show that LSPELM and OLSPELM have better nonlinear generalization ability and stability performance than some other state-of-the-art models. So, the proposed LSPELM and OLSPELM have good application value.
topic Artificial neural network
least square parallel extreme learning machine (LSPELM)
nOx emission model
online LSPELM (OLSPELM)
woodbury formula
url https://ieeexplore.ieee.org/document/9078777/
work_keys_str_mv AT xiali leastsquareparallelextremelearningmachineformodelingnosubxsubemissionofa300mwcirculatingfluidizedbedboiler
AT jianpingliu leastsquareparallelextremelearningmachineformodelingnosubxsubemissionofa300mwcirculatingfluidizedbedboiler
AT peifengniu leastsquareparallelextremelearningmachineformodelingnosubxsubemissionofa300mwcirculatingfluidizedbedboiler
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