Practical method for estimating the power and energy delivered by photovoltaic modules operating under non‐standard conditions

This work describes a method developed for estimating the energy delivered by building integrated photovoltaics systems operating under non‐standard conditions of irradiance and temperature. The method is based on calculation of the maximum power (P_Gmax) supplied by the modules array as a function of irradiance and ambient temperature, achieved by simulating its I–V and P–V curves using an algorithm which needs only the performance parameters supplied by the manufacturers. The energy generated by the PV system is estimated from monthly average values of P_Gmax calculated for using monthly average values of ambient temperature and irradiance obtained from data measured during 2 years. The method is applied to crystalline Si modules and tested by comparing the simulated I–V and P–V curves with those obtained by outdoor measurements as well as for comparing the energy produced during the years 2009 and 2010 with a 3.6 kWp building integrated photovoltaics system installed at the Universidad Nacional located in the city of Bogotá, Colombia, at 4°35′ latitude and 2.580 m altitude. The contrast of the simulated I–V and P–V curves for two different types of commercial Si‐modules with those experimentally obtained under real conditions indicated that the simulation method is reliably. Copyright © 2012 John Wiley & Sons, Ltd.     

Current‐voltage characteristics of high‐concentration,photovoltaic arrays

The current–voltage ( I–V ) characteristics of photovoltaic (PV) systems have always been a good indicator of the overall performance of a system. The aim of this paper is to give an overview and elucidate the use of the I–V characteristics of concentrator PV (CPV) modules and arrays as an important diagnostic tool to identify factors that lower a system's performance and the types of mismatch that exist between series‐connected single‐junction cells within a module. Possible causes for mismatch between cells include factors such as; misalignment of optical elements and cells, nonuniform cell material parameters, uneven cell illumination due to dew, dust or degradation of the secondary and main optical elements. The different types of mismatch typically found in CPV are categorized and their effects on the resultant module I–V curves are discussed and shown. The effect of bypass diodes on the module's I–V curves is also illustrated. This paper also reports on, and interprets I–V measurements that were recorded for a commercially available point‐focus concentrator module under various real outdoor conditions. Copyright © 2004 John Wiley & Sons, Ltd.     

A 500‐kW PV generator I–V curve

This paper presents the measurement of the I–V curve of a 500‐kW PV generator by means of an own‐made capacitive load. It is shown that I–V curve analysis can also be applied to big PV generators and that when measuring the operation conditions with reference modules and taking some precautions (especially regarding the operation cell temperature), it is still a useful tool for characterizing them and therefore can be incorporated into maintenance procedures. As far as we know, this is the largest I–V curve measured so far. Copyright © 2013 John Wiley & Sons, Ltd.     

Current–voltage curve translation by bilinear interpolation

By means of bilinear interpolation and four reference current–voltage (I–V) curves, an I–V curve of a photovoltaic (PV) module is translated to desired conditions of irradiance and PV module temperature. The four reference I–V curves are measured at two irradiance and two PV module temperature levels and contain all the essential PV module characteristic information for performing the bilinear interpolation. The interpolation is performed first with respect to open‐circuit voltage to account for PV module temperature, and second with respect to short‐circuit current to account for irradiance. The translation results over a wide range of irradiances and PV module temperatures agree closely with measured values for a group of PV modules representing seven different technologies. Root‐mean‐square errors were 1·5% or less for the I–V curve parameters of maximum power, voltage at maximum power, current at maximum power, short‐circuit current, and open‐circuit voltage. The translation is applicable for determining the performance of a PV module for a specified test condition, or for PV system performance modeling. Copyright © 2004 John Wiley & Sons, Ltd.     

Stepwise measurement procedure for the characterization of large‐area photovoltaic modules

In this paper, we present an indoor measurement procedure for characterizing the electrical performance of large aperture photovoltaic modules. Because of the fact that sun simulators, especially for concentrator photovoltaic applications, are strongly limited in the size of the uniformly illuminated area, we developed a measurement procedure that allows characterizing modules with a larger aperture area than the aperture provided by the sun simulator. The procedure is based on the concept of stepwise illumination of the module area and measurement of the corresponding I–V curves—without the need to contact the subunits directly. Using the additionally measured dark I–V curve of the module, the characteristic I–V curve of the full module can be calculated. Copyright © 2015 John Wiley & Sons, Ltd.     

Losses caused by dispersion of optical parameters and misalignments in PV concentrators

One factor greatly affecting the output power of a photovoltaic concentrator system and not found in conventional flat systems is optical mismatch, caused mainly by dispersion in the efficiencies of the optics and misalignments among collectors and modules. In these systems, there are many factors, besides the electrical performance of the PV modules, acting on the overall efficiency and thus on the power output: reflectivity and shape of the optics, cleanliness, misalignments, etc. They are less known than equivalent topics in flat arrays and usually the data come from medium‐sized prototypes. Now we have the opportunity to study such factors on a big plant where components and the installation have been carried out by industry on a final user site. An analysis of the optical mismatch based on Gaussian distributions of the generated photocurrents will be presented in order to evaluate the power losses. A mathematical model is also proposed to calculate the main moments of the distribution from the experimental V–I curve under concentrated light. Besides, a novel study of the transmission curves of a photovoltaic concentrator has been carried out and will be described throughout the paper. The series/parallel connection of the modules can affect the transmission curve in different ways, depending on the array voltage, and thus this effect must be considered for the definition of the acceptance angle of the system. Copyright © 2005 John Wiley & Sons, Ltd.     

Method for photovoltaic parameter extraction according to a modified double‐diode model

The variables presented in the current–voltage equation of a photovoltaic (PV) device are usually called PV parameters. There are several different methods for PV parameter extraction from measured data according to different models. However, many of these methods provide results that do not represent I–V curves of thin films devices correctly. This can occur because either the applied model or the PV parameter extraction methods are not suitable. It is also possible that the extracted parameters provide a good mathematical representation of the curves but without physical meaning (e.g. negative series resistance). This work presents a method for PV parameter extraction based on a modified double‐diode model. In this model, the ideality factor related to the recombination of the charge carriers in the space‐charge region is assumed as a variable. This method has been tested for different I–V curves of different PV module technologies providing very good results and parameters with physical meaning in all the cases. Copyright © 2012 John Wiley & Sons, Ltd.     

Dense array connections for photovoltaic systems in concentration

Two new types of connections for photovoltaic cells in dense array are presented. These connections, making use of dc–dc converter modules, are shown to increase the power transfer to the load with respect to array realized with series o parallel connections for the same number of cells. The present connections are of particular interest in concentration photovoltaic (CPV) systems where the intensity of the incident light on each cell of the array can be very different causing the cells of the same array working with different current–voltage (I–V) curves. The two types of connection and the classical series and parallel connections are compared on a theoretical basis. Applications of the connections in real working scenarios are illustrated and discussed. Copyright © 2010 John Wiley & Sons, Ltd.     

Translating outdoor CPV I–V measurements to a CSTC power rating and the associated uncertainty

A complete procedure is presented for translating outdoor concentrator photovoltaic (CPV) I–V measurements to the Concentrator Standard Test Conditions (CTSC) (1000 W/m² and 25 °C cell temperature). Methods are demonstrated for measuring all the necessary input parameters for the translation, including outdoor thermal transient measurements and indoor dark I–V curves. Four modules are subjected to the translation method based on multiple months of outdoor data, one module measured at National Renewable Energy Laboratory and three at Fraunhofer ISE. The modules are also characterized under a sun simulator to provide a comparison to the translation approach. The results show that translated CSTC efficiencies are in good agreement with the efficiencies from the solar simulator. Two of the modules agreed within 1%, whereas the other two modules agree within approximately 4%. An uncertainty analysis of the input parameters is discussed in the context of the total uncertainty associated with the translation to CSTC. The reference voltage and efficiency temperature coefficient are the key parameters impacting the translation uncertainty, whereas uncertainty in the outdoor data is driven by spectral and meteorological parameters. Copyright © 2015 John Wiley & Sons, Ltd.     

Dark I–V curve measurement of single cells in a photovoltaic module

A simple method of obtaining single cell dark I–V curves in a photovoltaic module was developed. The method does not require disassembling the module and was verified experimentally. From the dark I–V curves, the cell characteristic parameters were obtained. By following the time evolution of the characteristic parameters it is possible to determine the main degradation mechanisms and predict the mean life time of the module before failure. Copyright © 2005 John Wiley & Sons, Ltd.     

Quantitative Analysis of Current–Voltage Characteristics of Semiconducting Nanowires: Decoupling of Contact Effects

A metal‐semiconductor‐metal (M‐S‐M) model for quantitative analysis of current–voltage (I–V) characteristics of semiconducting nanowires is described and applied to fit experimental I–V curves of Bi₂S₃ nanowire transistors. The I–V characteristics of semiconducting nanowires are found to depend sensitively on the contacts, in particular on the Schottky barrier height and contact area, and the M‐S‐M model is shown to be able to reproduce all experimentally observed I–V characteristics using only few fitting variables. A procedure for decoupling contact effects from that of the intrinsic parameters of the semiconducting nanowires, such as conductivity, carrier mobility and doping concentration is proposed, demonstrated using experimental I–V curves obtained from Bi₂S₃ nanowires and compared with the field‐effect based method.     

Performance prediction of concentrator solar cells and modules from dark I–V characteristics

The indoor performance of concentrator solar cells and modules at operating conditions is a complex task, owing to the required illumination and temperature conditions, and even more so during extensive procedures, such as on a production line. The solution proposed throughout this paper consists of predicting the illumination I–V characteristic of the solar cells, with the dark I–V curve and the photogenerated current as the only input data. As well as this, the technology‐dependent components of the series resistance are obtained from the dark characteristics for quality control. Theory and experiments on several types of concentrator cell have been carried out to validate the method. The equipment to be used on a production line has been developed by IES and used by BP Solar to test up to 25 000 cells and 2000 modules for the 480 kW_p power plant using the EUCLIDES^TM concentrator. Copyright © 2003 John Wiley & Sons, Ltd.     

Design of a twin capacitive load and its application to the outdoor rating of photovoltaic modules

This paper describes the design of an original twin capacitive load that is able of tracing simultaneously the I–V characteristics of two photovoltaic modules. Besides, an example of the application of this dual system to the outdoor rating of photovoltaic modules is presented, whose results have shown a good degree of repeatability. Copyright © 2013 John Wiley & Sons, Ltd.     

Multi‐pronged analysis of degradation rates of photovoltaic modules and arrays deployed in Florida

The long‐term performance and reliability of photovoltaic (PV) modules and systems are critical metrics for the economic viability of PV as a power source. In this study, the power degradation rates of two identical PV systems deployed in Florida are quantified using the Performance Ratio analytical technique and the translation of power output to an alternative reporting condition of 1000 W m⁻² irradiance and cell temperature of 50 °C. We introduce a multi‐pronged strategy for quantifying the degradation rates of PV modules and arrays using archived data. This multi‐pronged approach utilizes nearby weather stations to validate and, if needed, correct suspect environmental data that can be a problem when sensor calibrations may have drifted. Recent field measurements, including I‐V curve measurements of the arrays, visual inspection, and infrared imaging, are then used to further investigate the performance of these systems. Finally, the degradation rates and calculated uncertainties are reported for both systems using the methods described previously. Copyright © 2012 John Wiley & Sons, Ltd.     

Toward multiple maximum power point estimation of photovoltaic systems based on semiconductor theory

Environmental conditions, such as temperature, non‐uniform irradiation, and solar shading, deeply affect the characteristics of photovoltaic (PV) modules in PV‐assisted generation systems. Several local maximum power points (MPPs) are found in the power–voltage curve of PV systems constructed by series/parallel‐connected PV modules under partially shaded conditions. The characteristics of PV systems change unpredictably when multiple MPPs occur, so the actual MPP tracking (MPPT) becomes a difficult task. Conventional MPPT methods for the PV systems under partially shaded conditions cannot quickly find the actual MPP such that the optimal utilization of PV systems cannot be achieved. Based on the p–n junction semiconductor theory, we develop a multipoint direct‐estimation (MPDE) method to directly estimate the multiple MPPs of the PV systems under partially shaded conditions and to cope with the mentioned difficulties. Using the proposed MPDE method, the multiple MPPs of the PV systems under partially shaded conditions can be directly determined from their irradiated current–voltage and power–voltage characteristic curves. The performances of the proposed MPDE method are evaluated by examining the characteristics of multiple MPPs of PV systems with respect to different shading strengths and numbers of the shaded PV modules and also tested using the field data. The experimental results demonstrate that the proposed MPDE method can simply and accurately estimate the multiple MPPs of the PV systems under partially shaded conditions. The optimization of MPP control models and the MPPT for PV systems could be achieved promisingly by applying the proposed method. Copyright © 2014 John Wiley & Sons, Ltd.     

CMOS dual output current mode half-wave rectifier

A CMOS dual output current mode half-wave rectifier is presented. The proposed rectifier is composed of three main components: a dual output V–I converter, two half-wave current rectifiers and two I–V converters. A voltage input signal is changed into two current signals by the V–I converter. The current rectifiers rectify these current signals, resulting in positive and negative half-wave current signals that are converted to positive and negative half-wave voltage signals by the I-Vconverters. The theory of operation is described, and the simulated results obtained from the PSPICE program are used to verify the theoretical prediction. Simulated rectifier performance with a 0.5μm MOSFET model using ±1.2V supply voltage demonstrates good rectifier integrity at operating frequencies up to 100MHz.     

Ferroelectricity in Polar Polymer‐Based FETs: A Hysteresis Analysis

There is an increasing number of reports on polar polymer‐based ferroelectric field effect transistors (FeFETs), where the hysteresis of the drain current–gate voltage (I_d–V_g) curve is investigated as the result of the ferroelectric polarization effect. However, separating ferroelectric effect from many of the factors (such as charge injection/trapping and the presence of mobile ions in the polymer) that confound interpretation is still confusing and controversial. This work presents a methodology to reliably identify the confounding factors which obscure the polarization effect in FeFETs. Careful observation of the I_d–V_g curves, as well as monitoring the I_d–V_g hysteresis and flat band voltage shift as a function of temperature and sweep frequency, identifies the dominant mechanism. This methodology is demonstrated by using 15 nm thick high glass transition temperature polar polymer‐based FeFETs. In these devices, room temperature hysteresis is largely a consequence of charge trapping and mobile ions, while ferroelectric polarization is observed at elevated temperatures. This methodology can be used to unambiguously prove the effect of ferroelectric polarization in FeFETs.     

Influence of Hole‐Transport Layers and Donor Materials on Open‐Circuit Voltage and Shape of I–V Curves of Organic Solar Cells

The effect of injection and extraction barriers on flat heterojunction (FHJ) and bulk heterojunction (BHJ) organic solar cells is analyzed. The barriers are realized by a combination of p‐type materials with HOMOs varying between –5.0 and –5.6 eV as hole‐transport layer (HTL) and as donor in vacuum‐evaporated multilayer p‐i‐metal small‐molecule solar cells. The HTL/donor interface can be seen as a model for the influence of contacts in organic solar cells in general. Using drift‐diffusion simulations we are well able to reproduce and explain the experimental I–V curves qualitatively. In FHJ solar cells the open‐circuit voltage (V_oc) is determined by the donor and is independent of the HTL. In BHJ solar cells, however, V_oc decreases if injection barriers are present. This different behavior is caused by a blocking of the charge carriers at a spatially localized donor/acceptor heterojunction, which is only present in the FHJ solar cells. The forward current is dominated by the choice of HTL. An energy mismatch in the HOMOs leads to kinks in the I–V curves in the cases for which V_oc is independent of the HTL.     

Modeling and Control of PV Charger System With SEPIC Converter

The photovoltaic (PV) stand-alone system requires a battery charger for energy storage. This paper presents the modeling and controller design of the PV charger system implemented with the single-ended primary inductance converter (SEPIC). The designed SEPIC employs the peak-current-mode control with the current command generated from the input PV voltage regulating loop, where the voltage command is determined by both the PV module maximum power point tracking (MPPT) control loop and the battery charging loop. The control objective is to balance the power flow from the PV module to the battery and the load such that the PV power is utilized effectively and the battery is charged with three charging stages. This paper gives a detailed modeling of the SEPIC with the PV module input and peak-current-mode control first. Accordingly, the PV voltage controller, as well as the adaptive MPPT controller, is designed. An 80-W prototype system is built. The effectiveness of the proposed methods is proved with some simulation and experimental results.     

Change in I–V characteristics of thin‐film photovoltaic (PV) modules induced by light soaking and thermal annealing effects

The performance of photovoltaic (PV) modules is generally rated under standard test conditions (STC). However, the performance of thin‐film photovoltaic modules is not unique even under STC, because of the “metastability”. The effects of the light soaking and thermal annealing shall be incorporated into an appropriate energy rating standard. In this study, the change in I–V characteristics of thin‐film PV modules caused by the metastability was examined by repeated indoor measurements in addition to round‐robin outdoor measurements. The investigated thin‐film modules were copper indium gallium (di)selenide (CIGS), a‐Si : H, and a‐Si : H/µc‐Si : H (tandem) modules. The increase in the performance of the CIGS module between the initial and final indoor measurements was approximately 8%. Because of light‐induced degradation, the indoor performance of the a‐Si : H and a‐Si : H/µc‐Si : H modules decreased by approximately 35% and 20%, respectively. The performance was improved by about 4–6% under high temperature conditions after the initial degradation. The results suggest that the performance of thin‐film silicon modules can seasonally vary by approximately 4–6% only due to thermal annealing and light soaking effects. The effect of solar spectrum enhanced the outdoor performance of the a‐Si : H module by about 10% under low air mass conditions, although that of the a‐Si : H/µc‐Si : H modules showed a little increase. The currents of these a‐Si : H/µc‐Si : H modules may be limited by the bottom cells. Therefore, it is required to optimize the effect of solar spectrum in addition to the effects of light soaking and thermal annealing, in order to achieve the best performance for thin‐film silicon tandem modules. Copyright © 2013 John Wiley & Sons, Ltd.