HOC Based Blind Identification of Hydroturbine Shaft Volterra System

In order to identify the quadratic Volterra system simplified from the hydroturbine shaft system, a blind identification method based on the third-order cumulants and a reversely recursive method are proposed. The input sequence of the system under consideration is an unobservable independent identi...

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Main Authors: Bing Bai, Lixiang Zhang
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2017/6732704
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author Bing Bai
Lixiang Zhang
author_facet Bing Bai
Lixiang Zhang
author_sort Bing Bai
collection DOAJ
description In order to identify the quadratic Volterra system simplified from the hydroturbine shaft system, a blind identification method based on the third-order cumulants and a reversely recursive method are proposed. The input sequence of the system under consideration is an unobservable independent identically distributed (i.i.d.), zero-mean and non-Gaussian stationary signal, and the observed signals are the superposition of the system output signal and Gaussian noise. To calculate the third-order moment of the output signal, a computer loop judgment method is put forward to determine the coefficient. When using optimization method to identify the time domain kernels, we combined the traditional optimization algorithm (direct search method) with genetic algorithm (GA) and constituted the hybrid genetic algorithm (HGA). Finally, according to the prototype observation signal and the time domain kernel parameters obtained from identification, the input signal of the system can be gained recursively. To test the proposed method, three numerical experiments and engineering application have been carried out. The results show that the method is applicable to the blind identification of the hydroturbine shaft system and has strong universality; the input signal obtained by the reversely recursive method can be approximately taken as the random excitation acted on the runner of the hydroturbine shaft system.
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spelling doaj-art-fb24488892604bf6a4284f0e28dde93b2025-02-03T01:27:11ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/67327046732704HOC Based Blind Identification of Hydroturbine Shaft Volterra SystemBing Bai0Lixiang Zhang1School of Civil Engineering and Communication, North China University of Water Resources & Electric Power, Beihuan Road No. 36, Zhengzhou, Henan 450045, ChinaDepartment of Engineering Mechanics, Kunming University of Science and Technology, South Jingming Road No. 727, Kunming, Yunnan 650500, ChinaIn order to identify the quadratic Volterra system simplified from the hydroturbine shaft system, a blind identification method based on the third-order cumulants and a reversely recursive method are proposed. The input sequence of the system under consideration is an unobservable independent identically distributed (i.i.d.), zero-mean and non-Gaussian stationary signal, and the observed signals are the superposition of the system output signal and Gaussian noise. To calculate the third-order moment of the output signal, a computer loop judgment method is put forward to determine the coefficient. When using optimization method to identify the time domain kernels, we combined the traditional optimization algorithm (direct search method) with genetic algorithm (GA) and constituted the hybrid genetic algorithm (HGA). Finally, according to the prototype observation signal and the time domain kernel parameters obtained from identification, the input signal of the system can be gained recursively. To test the proposed method, three numerical experiments and engineering application have been carried out. The results show that the method is applicable to the blind identification of the hydroturbine shaft system and has strong universality; the input signal obtained by the reversely recursive method can be approximately taken as the random excitation acted on the runner of the hydroturbine shaft system.http://dx.doi.org/10.1155/2017/6732704
spellingShingle Bing Bai
Lixiang Zhang
HOC Based Blind Identification of Hydroturbine Shaft Volterra System
Shock and Vibration
title HOC Based Blind Identification of Hydroturbine Shaft Volterra System
title_full HOC Based Blind Identification of Hydroturbine Shaft Volterra System
title_fullStr HOC Based Blind Identification of Hydroturbine Shaft Volterra System
title_full_unstemmed HOC Based Blind Identification of Hydroturbine Shaft Volterra System
title_short HOC Based Blind Identification of Hydroturbine Shaft Volterra System
title_sort hoc based blind identification of hydroturbine shaft volterra system
url http://dx.doi.org/10.1155/2017/6732704
work_keys_str_mv AT bingbai hocbasedblindidentificationofhydroturbineshaftvolterrasystem
AT lixiangzhang hocbasedblindidentificationofhydroturbineshaftvolterrasystem