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On the experimental validation of an improved five-parameter model for silicon photovoltaic modules

SOLAR ENERGY MATERIALS AND SOLAR CELLS 2012年 105卷 27-39页

作者： Lo Brano, Valerio Orioli, Aldo Ciulla, Giuseppina Univ Palermo DDE Dipartimento Energia I-90133 Palermo Italy

This paper presents the experimental validation of a new five-parameter model capable of analytically describing the I-V characteristic of a silicon photovoltaic module for each generic condition of operative temperature and solar irradiance. The operating current calculated with the model was validated on the basis of a series of experimental measurements performed in the field on two commercial silicon photovoltaic panels connected to a set of nine constant values of the electrical load. In order to examine the panels working in almost steady-state conditions only the data-sets of the sunniest days from sunrise to sunset were used. Unfortunately the production spread of photovoltaic panels did not permit the consistent comparison between the measurements and the data calculated by the model on the basis of the electrical characteristics provided by the manufactures. To surmount such an obstacle the determination of the particular current-voltage characteristic of the tested photovoltaic panel specimens was successfully attempted by filtering the collected data. The results of comparison have shown that the model defined by the new electrical characteristics is able to evaluate the operating current with a high degree of accuracy, even during days perturbed by very variable conditions of solar irradiance. (c) 2012 Elsevier B.V. All rights reserved.

关键词： Silicon photovoltaic modules five-parameter model I-V characteristics Experimental validation Solar energy

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A procedure to calculate the five-parameter model of crystalline silicon photovoltaic modules on the basis of the tabular performance data

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APPLIED ENERGY 2013年第Feb.期102卷 1160-1177页

作者： Orioli, Aldo Di Gangi, Alessandra Univ Palermo DdE Dipartimento Energia I-90128 Palermo Italy

Only few manufactures provide the wide set of graphical data that are necessary to use high performance predictive tools for PV systems. On the other hand, reliable graphical data require accurate laboratory measurements that increase manufacturing costs. For this reason PV system designers have to choose between the use of cheap PV modules, lacking in technical data, and the reliable energy predictions that are possible only if the current-voltage characteristics are provided by the PV module manufacturers. This paper describes the procedure to evaluate the parameters of a one-diode equivalent circuit able to accurately represent the electrical behaviour of a PV panel by means of the minimum set of technical data that are usually provided by all manufacturers. To reach the purpose some correlations based on the survey of more than one hundred PV module characteristics were defined to make up for the lack of technical information. The computer routines used to evaluate the values of the model parameters are listed;the routines are written in BASIC and can be easily implemented, even like VBA macros in Microsoft Excel. The capability of the new model to calculate the current-voltage characteristics was tested by comparing the results with data measured by four different manufacturers. The results of the application of the new model confirm the reliability of the proposed procedure. The differences between the calculated and the measured data are always less than the data tolerance usually declared by the manufacturers. (c) 2012 Elsevier Ltd. All rights reserved.

关键词： Photovoltaic modules five-parameter model I-V characteristics Solar energy

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An improved five-parameter model for photovoltaic modules

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SOLAR ENERGY MATERIALS AND SOLAR CELLS 2010年第8期94卷 1358-1370页

作者： Lo Brano, Valerio Orioli, Aldo Ciulla, Giuseppina Di Gangi, Alessandra Univ Palermo DREAM I-90128 Palermo Italy

This paper presents a new five-parameter model capable of analytically describing the I-V characteristic of a photovoltaic module for each generic condition of operative temperature and solar irradiance. The parameters of the equivalent electrical circuit are extracted by solving a system of equations based on data commonly issued by manufacturers in standard rating conditions with a trial and error process. The procedure, which does not require any special equations solver, can be easily coded into a short software routine using simple languages and finds the solution of the system of equations with the desired accuracy without needing to be guided towards solutions starting from fitted initial values of the searched parameters. In particular, as implemented in VBA macros in Microsoft Excel, the model provides the most accurate results with a rapid convergence. To verify the capability of the new model to fit PV panel characteristics, the procedure was tested on two different panels. Results were compared with the data issued by manufacturers and with the results obtained using five-parameter models proposed by other authors. (C) 2010 Elsevier B.V. All rights reserved.

关键词： Photovoltaic modules five-parameter model I-V characteristics Solar energy One-diode equivalent circuit Operating photovoltaic current

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A simple but accurate procedure for solving the five-parameter model

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ENERGY CONVERSION AND MANAGEMENT 2015年 105卷 139-148页

作者： Mares, Oana Paulescu, Marius Badescu, Viorel West Univ Timisoara Dept Phys Timisoara 300223 Romania Univ Politehn Bucuresti Candida Oancea Inst Bucharest 060042 Romania

The current-voltage characteristic of a photovoltaic module is typically evaluated by using a model based on the solar cell equivalent circuit. The complexity of the procedure applied for extracting the model parameters depends on data available in manufacture's datasheet. Since the datasheet is not detailed enough, simplified models have to be used in many cases. This paper proposes a new procedure for extracting the parameters of the one-diode model in standard test conditions, using only the basic data listed by all manufactures in datasheet (short circuit current, open circuit voltage and maximum power point). The procedure is validated by using manufacturers' data for six commercially crystalline silicon photovoltaic modules. Comparing the computed and measured current-voltage characteristics the determination coefficient is in the range 0.976-0.998. Thus, the proposed procedure represents a feasible tool for solving the five-parameter model applied to crystalline silicon photovoltaic modules. The procedure is described in detail, to guide potential users to derive similar models for other types of photovoltaic modules. (C) 2015 Elsevier Ltd. All rights reserved.

关键词： PV module five-parameter model I-V characteristic modeling STC

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The Shockley five-parameter model of a solar cell: A short note

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AFRICAN JOURNAL OF SCIENCE TECHNOLOGY INNOVATION & DEVELOPMENT 2015年第6期7卷 491-494页

作者： Koffi, H. A. Kuditcher, A. Kakane, V. C. K. Armah, E. A. Yankson, A. A. Amuzu, J. K. A. Univ Ghana Dept Phys Legon Ghana

This paper is concerned with an alternative formulation of the Shockley five-parameter model of a solar cell. This formulation leads to an explicit relationship between the short-circuit current and the light-generated current and the direct determination of the light-generated current from a knowledge of the series and shunt resistances.

关键词： Solar cell light-generated current shunt resistance short-circuit current five-parameter model

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One-step MPPT method based on five-parameter model of PV panel

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The Journal of Engineering 2017年第13期2017卷 917-921页

作者： Jierong Miao Da Xie Ruixiang Fan School of Electronic Information and Electrical Engineering Shanghai Jiao Tong University Minhang District Shanghai 200240 People's Republic of China Institute of Electric Power Research State Grid Jiangxi Electric Power Company NanChang Jiangxi 330096 People's Republic of China

Traditionally, maximum power point tracking control (MPPT) methods are independent of the mathematical model and require multi-step adjusting of the inverter, resulting in multiple disturbances of the photovoltaic (PV) system. Actually, the PV cell has a definite U – I curve at a certain degree of illuminance and temperature, which can be described in a mathematical model. This study proposes a one-step MPPT method based on five-parameter model. Utilising voltage and current measurements, the DC/DC inverter of each PV panel obtains equations for five parameters and solves them via Newton iteration method. According to P – U curve, the derivative of P to U is zero. Thus, an implicit equation of the maximum power can be given along with a constraint. Considering the bimodal characteristics of P – U curve under cloud shade condition, the constraint prevents the result to converge to the low peak point. Then the DC/DC inverter can adjust the PV system to MPP by one step. Furthermore, since the five parameters vary at different illuminance and temperature, the database can be established based on the correspondence between condition and parameters, which can give back to DC/DC inverter to improve the tracking efficiency.

关键词： maximum power point trackers photovoltaic power systems electric current measurement voltage measurement Newton method cloud shade condition P-U curve Newton iteration method DC/DC inverter voltage measurement current measurement maximum power point tracking control methods PV panel five-parameter model one-step MPPT method

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Optimization of five-parameter BRDF model based on hybrid GA-PSO algorithm

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OPTIK 2020年 219卷 164978-164978页

作者： Liu, Yuying Dai, Jingjing Zhao, Sisi Zhang, Jinghao Shang, Weidong Li, Tong Zheng, Yongchao Lan, Tian Wang, Zhiyong Beijing Univ Technol Inst Adv Technol Semicond Opt & Elect Inst Laser Engn Beijing 100020 Peoples R China Beijing Inst Space Mech & Elect Beijing 100094 Peoples R China

The bidirectional reflection distribution function is usually used to analyze the reflection characteristics of materials. In many cases, the BRDF models are optimized by fitting parameters. We introduced a hybrid particle swarm algorithm (GA-PSO) combining genetic algorithm and particle swarm algorithm to optimize the parameters of the five-parameter model. In order to verify the performance of the hybrid particle swarm optimization algorithm, we measured two different materials of space targets to get the experimental BRDF values. Then we simulated the parameters by using the genetic algorithm, particle swarm algorithm, and hybrid particle swarm algorithm respectively. The fitting results show that the hybrid particle swarm algorithm is better than genetic algorithm and particle swarm algorithm in accuracy and convergence speed under the same condition.

关键词： BRDF five-parameter model Hybrid GA-PSO algorithm Space targets

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Electrical modeling of Bifacial PV Modules

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IEEE JOURNAL OF PHOTOVOLTAICS 2025年第1期15卷 117-125页

作者： Sahu, Preeti Kumari Batzelis, Efstratios I. Chakraborty, Chandan Roy, J. N. Indian Inst Technol Kharagpur Sch Energy Sci & Engn Kharagpur 721302 India Univ Southampton Elect & Elect Engn Org Southampton SO17 1BJ England Indian Inst Technol Kharagpur Elect Engn Kharagpur 721302 India

-Although the bifacial photovoltaic (PV) module is now a mature technology, there still exists a gap in the literature on its electrical modeling and equivalent circuit representation. Most published studies have mainly focused on the photocurrent while overlooking other crucial parameters for the electrical response of the module. Even so, the photocurrent of the bifacial module is simplistically treated as the sum of individual currents of the front and rear sides, a hypothesis challenged in this study. Notably, our research has uncovered a discrepancy that can exceed 15%, and we address this issue by introducing a correction factor in this article. This article introduces a comprehensive electrical model that effectively integrates bifacial PV modules' front and rear sides into a single - circuit representation. This novel model adopts the single - diode equivalent circuit, formulating each of the five parameters as a function of the individual side's parameters. Indoor and outdoor measurements validate the accuracy improvement brought by this model, which can benefit energy yield studies and our theoretical understanding of bifacial PV systems.

关键词： Bifacial five-parameter model photovoltaic (PV) photovoltaic (PV) single-diode model single-diode model single-diode model

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A model for residence time distribution of solids in a rotary kiln

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CANADIAN JOURNAL OF CHEMICAL ENGINEERING 2004年第2期82卷 392-398页

作者： Dinesh, LV Sai, PST Indian Inst Technol Dept Chem Engn Madras 600036 Tamil Nadu India

A five-parameter model for residence time distribution of low-density particles in a bed of high-density particles in a rotary kiln is derived based on combinations of flow regimes in several sub-regions. The parameters of the model are the number of turnover stages, the cascade volume fraction, the Peclet number, the dead volume fraction in cascade region, and the cross-flow ratio. The effect of feed rate of solids, rotational speed and inclination of the kiln on the model parameters is evaluated.

关键词： rotary kiln residence time distribution five-parameter model

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High performing extraction procedure for the one-diode model of a photovoltaic panel from experimental I-V curves by using reduced forms

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SOLAR ENERGY 2014年 103卷 316-326页

作者： Laudani, Antonino Fulginei, Francesco Riganti Salvini, Alessandro Roma Tre Univ Dept Engn I-00146 Rome Italy

In the last years, several numerical techniques were proposed in literature for the identification of the one diode model of photovoltaic (PV) panels from manufacturers' data sheets or experimental data. In this paper we present a fast and accurate method for obtaining the five parameters of the one diode model by starting from the experimental I-V curve of the PV panel. In particular we exploit the adoption of the reduced forms of the original five-parameter model. These reduced forms take advantage of important mathematical considerations through which the five parameters of the model are splitted in independent and dependent unknowns, in order to reduce the dimensions of the search space. Thus, the fitting of experimental data can be performed by using a restricted number of unknowns (namely two) and this provides strong benefits in terms of convergence, computational costs and execution times. In this way, the approach allows to characterize a PV panel from its measured I-V curve with an accuracy never obtained before in literature, employing few steps and execution times of few milliseconds on a simple notebook computer. Suitable validations on two important case studies are presented for comparing our procedure with the most recent and effective techniques proposed in literature. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： Photovoltaic panel five-parameter model Experimental data I-V characteristic

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