Use of Wiener- Hammerstein (WH) Model Optimized with Genetic ‎Algorithm in Identification of Photovoltaic System

<p><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">System identification is a method of identification or measuring a mathematical model of a system by measuring the inputs and outputs of the system. In this paper we apply the Genetic Algorit...

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Main Authors: Iman Sohrabi Moghadam Chafjiri, Alireza Azadbar, Abbas Ghadimi, Seyed Javad Mousavi
Format: Article
Language:fas
Published: Islamic Azad University Bushehr Branch 2025-01-01
Series:مهندسی مخابرات جنوب
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Online Access:https://sanad.iau.ir/journal/jce/Article/870043
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author Iman Sohrabi Moghadam Chafjiri
Alireza Azadbar
Abbas Ghadimi
Seyed Javad Mousavi
author_facet Iman Sohrabi Moghadam Chafjiri
Alireza Azadbar
Abbas Ghadimi
Seyed Javad Mousavi
author_sort Iman Sohrabi Moghadam Chafjiri
collection DOAJ
description <p><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">System identification is a method of identification or measuring a mathematical model of a system by measuring the inputs and outputs of the system. In this paper we apply the Genetic Algorithm (GA) approach to model a photovoltaic (PV) </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">systems with a Wiener-Hammerstein structure. Non-linear dynamic systems have both </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">dynamic elements (energy storage elements) and in these types of systems there are non-linear </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">relationships between some variables. If in such systems it can be assumed that dynamic parts </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">and non-linear parts are separable, they can be modeled with the structures of block-oriented </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">models. These types of models are composed of a combination of linear dynamic block(s) and </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">static nonlinear block(s). This approach is concerned with the </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">estimation of a photovoltaic </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">(PV) system based on observed data. The nonlinear input and output </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">are taken from the </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">irradiance and DC output current data of the real system, respectively. The </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">simulation results </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">revealed the effectiveness and robustness of the proposed </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">model using a genetic algorithm. </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">The simulation results show an MSE value of </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">0.000774</span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;"> for </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">normal operation of the PV </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">system</span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;"> and </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">0.009863</span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;"> for the shading effect</span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;"> between the estimated </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">and reference information </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">rates.&nbsp;</span></p>
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spelling doaj-art-9e91e6529168458baf262009c499fac22025-01-11T05:06:07ZfasIslamic Azad University Bushehr Branchمهندسی مخابرات جنوب2980-92312025-01-0114543546Use of Wiener- Hammerstein (WH) Model Optimized with Genetic &lrm;Algorithm in Identification of Photovoltaic SystemIman Sohrabi Moghadam Chafjiri0Alireza Azadbar1Abbas Ghadimi2Seyed Javad Mousavi3Department of Electrical Engineering, Rasht Branch, Islamic Azad university, Rasht, IranDepartment of Nuclear Engineering, Lahijan Branch, Islamic Azad university, Lahijan, IranDepartment of Electrical Engineering, Lahijan Branch, Islamic Azad university, Lahijan, IranDepartment of Physics, Rasht Branch, Islamic Azad university, Rasht, Iran<p><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">System identification is a method of identification or measuring a mathematical model of a system by measuring the inputs and outputs of the system. In this paper we apply the Genetic Algorithm (GA) approach to model a photovoltaic (PV) </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">systems with a Wiener-Hammerstein structure. Non-linear dynamic systems have both </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">dynamic elements (energy storage elements) and in these types of systems there are non-linear </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">relationships between some variables. If in such systems it can be assumed that dynamic parts </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">and non-linear parts are separable, they can be modeled with the structures of block-oriented </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">models. These types of models are composed of a combination of linear dynamic block(s) and </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">static nonlinear block(s). This approach is concerned with the </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">estimation of a photovoltaic </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">(PV) system based on observed data. The nonlinear input and output </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">are taken from the </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">irradiance and DC output current data of the real system, respectively. The </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">simulation results </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">revealed the effectiveness and robustness of the proposed </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">model using a genetic algorithm. </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">The simulation results show an MSE value of </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">0.000774</span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;"> for </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">normal operation of the PV </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">system</span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;"> and </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">0.009863</span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;"> for the shading effect</span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;"> between the estimated </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">and reference information </span><strong><span lang="AR-SA" style="font-size: 10pt; line-height: 125%; font-family: Calibri, sans-serif;">&lrm;</span></strong><span style="font-size: 11pt; line-height: 125%; font-family: Calibri, sans-serif;">rates.&nbsp;</span></p>https://sanad.iau.ir/journal/jce/Article/870043stem identification wiener-hammerstein model photovoltaic (pv) system genetic algorithm.
spellingShingle Iman Sohrabi Moghadam Chafjiri
Alireza Azadbar
Abbas Ghadimi
Seyed Javad Mousavi
Use of Wiener- Hammerstein (WH) Model Optimized with Genetic &lrm;Algorithm in Identification of Photovoltaic System
مهندسی مخابرات جنوب
stem identification
wiener-hammerstein model
photovoltaic (pv) system
genetic algorithm.
title Use of Wiener- Hammerstein (WH) Model Optimized with Genetic &lrm;Algorithm in Identification of Photovoltaic System
title_full Use of Wiener- Hammerstein (WH) Model Optimized with Genetic &lrm;Algorithm in Identification of Photovoltaic System
title_fullStr Use of Wiener- Hammerstein (WH) Model Optimized with Genetic &lrm;Algorithm in Identification of Photovoltaic System
title_full_unstemmed Use of Wiener- Hammerstein (WH) Model Optimized with Genetic &lrm;Algorithm in Identification of Photovoltaic System
title_short Use of Wiener- Hammerstein (WH) Model Optimized with Genetic &lrm;Algorithm in Identification of Photovoltaic System
title_sort use of wiener hammerstein wh model optimized with genetic lrm algorithm in identification of photovoltaic system
topic stem identification
wiener-hammerstein model
photovoltaic (pv) system
genetic algorithm.
url https://sanad.iau.ir/journal/jce/Article/870043
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AT abbasghadimi useofwienerhammersteinwhmodeloptimizedwithgeneticlrmalgorithminidentificationofphotovoltaicsystem
AT seyedjavadmousavi useofwienerhammersteinwhmodeloptimizedwithgeneticlrmalgorithminidentificationofphotovoltaicsystem