Mathematical analysis of maximum power generated by photovoltaic systems and fitting curves for standard test conditions

The rural electrification is characterized by geographical dispersion of the population, low consumption, high investment by consumers and high cost. Moreover, solar radiation constitutes an inexhaustible source of energy and in its conversion into electricity photovoltaic panels are used. In this study, equations were adjusted to field conditions presented by the manufacturer for current and power of small photovoltaic systems. The mathematical analysis was performed on the photovoltaic rural system I- 100 from ISOFOTON, with power 300 Wp, located at the Experimental Farm Lageado of FCA/UNESP. For the development of such equations, the circuitry of photovoltaic cells has been studied to apply iterative numerical methods for the determination of electrical parameters and possible errors in the appropriate equations in the literature to reality. Therefore, a simulation of a photovoltaic panel was proposed through mathematical equations that were adjusted according to the data of local radiation. The results have presented equations that provide real answers to the user and may assist in the design of these systems, once calculated that the maximum power limit ensures a supply of energy generated. This real sizing helps establishing the possible applications of solar energy to the rural producer and informing the real possibilities of generating electricity from the sun.

Mallipohjainen suunnittelu osana aurinkosähkövaihtosuuntaajan tuotekehitystä

Työssä selvitetään mallipohjaisen suunnittelun ja simulointimallista tuotetun ohjelmakoodin kelpoisuutta tuotekehityskäytössä. Työtapoja tutkitaan, koska halutaan selvittää parantavatko esitetyt toimintatavat aurinkosähkövaihtosuuntaajien ohjelmistokehitystä. Työssä käydään läpi mallipohjaisen suunnittelun työvaiheet, niiden sisältö ja tarkoitus. Aurinkosähköjärjestelmästä muodostetaan simulointimalli, josta tuotetaan maksimitehopisteseuraajan ohjelmakoodi, jonka toiminta testataan aurinkosähkövaihtosuuntaajan ohjausalustan simulaattorissa. Mallipohjainen suunnittelu mahdollistaa ohjelmistotuotekehityksen nopeuttamisen käyttämällä samaa järjestelmää useassa työvaiheessa. Ohjelmakoodin tuottaminen simulointimallista on mahdollista ja hyödyllistä, jos yrityksessä käytetään simulointitestausta säätö- ja ohjausjärjestelmän toiminnan suunnitteluun ja varmentamiseen.

Sistema autônomo de iluminação utilizando energia solar

This work presents a self-sustainable lighting system using ultracapacitor as a storage device, replacing the conventional battery, using solar energy as the only energy supplier. A detailed study of solar panels, switched mode converters and ultracapacitors was made, in order to design a circuit capable of capturing solar energy and transfer it efficiently to a bank of ultracapacitors. Later, at nighttime, this energy is used for lighting in LED luminaires which have high luminous efficiency and high reliability index. This work presents the design of the solar panel, ultracapacitors bank, the development of the voltage converter circuit and charger working at the maximum power point of the solar panel. All subsystems were simulated and it was shown that the use of ultracapacitors is feasible to feed a LED lamp with enough brightness for a person to walk at night, for two night shifts, using a capacitive bank with twenty-four ultracapacitors. Replacing the battery by an ultracapacitor allows a faster recharge, with low maintenance costs, since ultracapacitors have a lifetime bigger than batteries; beyond reducing the environmental impact, as they don't use potentially toxic chemical compounds

Sistema autônomo de iluminação utilizando energia solar

This work presents a self-sustainable lighting system using ultracapacitor as a storage device, replacing the conventional battery, using solar energy as the only energy supplier. A detailed study of solar panels, switched mode converters and ultracapacitors was made, in order to design a circuit capable of capturing solar energy and transfer it efficiently to a bank of ultracapacitors. Later, at nighttime, this energy is used for lighting in LED luminaires which have high luminous efficiency and high reliability index. This work presents the design of the solar panel, ultracapacitors bank, the development of the voltage converter circuit and charger working at the maximum power point of the solar panel. All subsystems were simulated and it was shown that the use of ultracapacitors is feasible to feed a LED lamp with enough brightness for a person to walk at night, for two night shifts, using a capacitive bank with twenty-four ultracapacitors. Replacing the battery by an ultracapacitor allows a faster recharge, with low maintenance costs, since ultracapacitors have a lifetime bigger than batteries; beyond reducing the environmental impact, as they don't use potentially toxic chemical compounds

Convertitori di potenza multi-sorgente per applicazioni di energy harvesting

L’obiettivo di questa tesi è stato lo svilippo di un convertitore di potenza per applicazioni di energy harvesting in grado di convogliare l’energia estratta da diversi tipi di trasduttori di grandezze ambientali in un unico dispositivo di storage, ad es. un condensatore, utilizzabile per alimentare circuiti a basso consumo. L’idea di base è stata quella di ottimizzare il trasferimento di energia, attraverso una rete logica in grado di gestire le priorità di conversione dalle diverse tipologie di sorgenti e grazie ad una implementazione di un algoritmo di Maximum Power Point Tracking. In base alle specifiche di progetto, in una prima fase è stata sviluppata la rete a livello funzionale, poi sono stati scelti i componenti più opportuni ed infine si è verificato il funzionamento attraverso simulazioni circuitali.

On the analytical approach for modeling photovoltaic systems behavior

The 1-diode/2-resistors electric circuit equivalent to a photovoltaic system is analyzed. The equations at particular points of the I–V curve are studied considering the maximum number of terms. The maximum power point as a boundary condition is given special attention. A new analytical method is developed based on a reduced amount of information, consisting in the normal manufacturer data. Results indicate that this new method is faster than numerical methods and has similar (or better) accuracy than other existing methods, numerical or analytical.

Desarrollo de herramienta software para la caracterización de células y módulos de concentración fotovoltaica

La caracterización de módulos fotovoltaicos proporciona las especificaciones eléctricas que se necesitan para conocer los niveles de eficiencia energética que posee un módulo fotovoltaico de concentración. Esta caracterización se consigue a través de medidas de curvas IV, de igual manera que se obtienen para caracterizar los módulos convencionales. Este proyecto se ha realizado para la optimización y ampliación de un programa de medida y caracterización de hasta cuatro módulos fotovoltaicos que se encuentran en el exterior, sobre un seguidor. El programa, desarrollado en LabVIEW, opera sobre el sistema de medida, obteniendo los datos de caracterización del módulo que se está midiendo. Para ello en primer lugar se ha tomado como base una aplicación ya implementada y se ha analizado su funcionamiento para poder optimizarla y ampliarla para introducir nuevas prestaciones. La nueva prestación más relevante para la medida de los módulos, busca evitar que el módulo entre medida y medida, se encuentre disipando toda la energía que absorbe y se esté calentando. Esto se ha conseguido introduciendo una carga electrónica dentro del sistema de medida, que mantenga polarizado el módulo siempre y cuando, no se esté produciendo una medida sobre él. En este documento se describen los dispositivos que forman todo el sistema de medida, así como también se describe el software del programa. Además, se incluye un manual de usuario para un fácil manejo del programa. ABSTRACT. The aim of the characterization of concentrator photovoltaic modules (CPV) is to provide the electrical specifications to know the energy efficiency at operating conditions. This characterization is achieved through IV curves measures, the same way that they are obtained to characterize conventional silicon modules. The objective of this project is the optimization and improvement of a measurement and characterization system for CPV modules. A software has been developed in LabVIEW for the operation of the measurement system and data acquisition of the IV curves of the modules. At first, an already deployed application was taken as the basis and its operation was analyzed in order to optimize and extend to introduce new features. The more relevant update seeks to prevent the situation in which the module is dissipating all the energy between measurements. This has been achieved by introducing an electronic load into the measuring system. This load maintains the module biased at its maximum power point between measurement periods. This work describes the devices that take part in the measurement system, as well as the software program developed. In addition, a user manual is included for an easy handling of the program.

Improved modeling of photoluminescent and electroluminescent coupling in multijunction solar cells

The performance of tandem stacks of Group III?V multijunction solar cells continues to improve rapidly, both through improved performance of the individual cells in the stack and throughi ncrease in the number of stacked cells. As the radiative efficiency of these individual cells increases, radiative coupling between the stacked cells becomes an increasingly important factor not only in cell design, but also in accurate efficiency measurement and in determining performance of cells and systems under varying spectral conditions in the field. Past modeling has concentrated on electroluminescent coupling between the cells, although photoluminescent coupling is shown to be important for cells operating near their maximum power point voltage or below or when junction defect recombination is significant. Extension of earlier models i sproposed to allow this non-negligible component of luminescent coupling to be included. Therefined model is validated by measurement of the closely related external emission from both single and double junction cells.

A greenhouse integrating desalination, water saving and rainwater harvesting for use in salt-affected inland regions

This study proposes a new type of greenhouse for water re-use and energy saving for agriculture in arid and semi-arid inland regions affected by groundwater salinity. It combines desalination using reverse osmosis (RO), re-use of saline concentrate rejected by RO for cooling, and rainwater harvesting. Experimental work was carried at GBPUAT, Pantnagar, India. Saline concentrate was fed to evaporative cooling pads of greenhouse and found to evaporate at similar rates as conventional freshwater. Two enhancements to the system are described: i) A jet pump, designed and tested to use pressurized reject stream to re-circulate cooling water and thus maintain uniform wetness in cooling pads, was found capable of multiplying flow of cooling water by a factor of 2.5 to 4 while lifting water to a head of 1.55 m; and ii) Use of solar power to drive ventilation fans of greenhouse, for which an electronic circuit has been produced that uses maximum power-point tracking to maximize energy efficiency. Re-use of RO rejected concentrate for cooling saves water (6 l d-1 m-2) of greenhouse floor area and the improved fan could reduce electricity consumption by a factor 8.

Modelling and control of a floating oscillating water column

A novel numerical model of a Bent Backwards Duct Buoy (BBDB) Oscillating Water Column (OWC) Wave Energy Converter was created based on existing isolated numerical models of the different energy conversion systems utilised by an OWC. The novel aspect of this numerical model is that it incorporates the interdependencies of the different power conversion systems rather than modelling each system individually. This was achieved by accounting for the dynamic aerodynamic damping caused by the changing turbine rotational velocity by recalculating the turbine damping for each simulation sample and applying it via a feedback loop. The accuracy of the model was validated using experimental data collected during the Components for Ocean Renewable Energy Systems (CORES) EU FP-7 project that was tested in Galway Bay, Ireland. During the verification process, it was discovered that the model could also be applied as a valuable tool when troubleshooting device performance. A new turbine was developed and added to a full scale model after being investigated using Computational Fluid Dynamics. The energy storage capacity of the impulse turbine was investigated by modelling the turbine with both high and low inertia and applying three turbine control theories to the turbine using the full scale model. A single Maximum Power Point Tracking algorithm was applied to the low-inertia turbine, while both a fixed and dynamic control algorithm was applied to the high-inertia turbine. These results suggest that the highinertia turbine could be used as a flywheel energy storage device that could help minimize output power variation despite the low operating speed of the impulse turbine. This research identified the importance of applying dynamic turbine damping to a BBDB OWC numerical model, revealed additional value of the model as a device troubleshooting tool, and found that an impulse turbine could be applied as an energy storage system.

Use of Photovoltaic on an E-bike? : A Feasibility Study

In recent years the number of bicycles with e-motors has been increased steadily. Within the pedelec – bikes where an e-motor supports the pedaling – a special group of transportation bikes has developed. These bikes have storage boxes in addition to the basic parts of a bike. Due to the space available on top of those boxes it is possible to install a PV system to generate electricity which could be used to recharge the battery of the pedelec. Such a system would lead to grid independent charging of the battery and to the possibility of an increased range of motor support. The feasibility of such a PV system is investigated for a three wheeled pedelec delivered by the company BABBOE NORDIC.The measured data of the electricity generation of this mobile system is compared to the possible electricity generation of a stationary system.To measure the consumption of the pedelec different tracks are covered, and the energy which is necessary to recharge the bike battery is measured using an energy logger. This recharge energy is used as an indirect measure of the electricity consumption. A PV prototype system is installed on the bike. It is a simple PV stand alone system consisting of PV panel, charge controller with MPP tracker and a solar battery. This system has the task to generate as much electricity as possible. The produced PV current and voltage aremeasured and documented using a data logger. Afterwards the average PV power is calculated. To compare the produced electricity of the on-bike system to that of a stationary system, the irradiance on the latter is measured simultaneously. Due to partial shadings on the on-bike PV panel, which are caused by the driver and some other bike parts, the average power output during riding the bike is very low. It is too low to support the motor directly. In case of a similar installation as the PV prototype system and the intention always to park the bike on a sunny spot an on-bike system could generate electricity to at least partly recharge a bike battery during one day. The stationary PV system using the same PV panel could have produced between 1.25 and 8.1 times as much as the on-bike PV system. Even though the investigation is done for a very specific case it can be concluded that anon-bike PV system, using similar components as in the investigation, is not feasible to recharge the battery of a pedelec in an appropriate manner. The biggest barrier is that partial shadings on the PV panel, which can be hardly avoided during operation and parking, result in a significant reduction of generated electricity. Also the installation of the on-bike PV system would lead to increased weight of the whole bike and the need for space which is reducing the storage capacity. To use solar energy for recharging a bike battery an indirect way is giving better results. In this case a stationary PV stand alone system is used which is located in a sunny spot without shadings and adjusted to use the maximum available solar energy. The battery of the bike is charged using the corresponding charger and an inverter which provides AC power using the captured solar energy.

A geometric interpretation for transmission real losses minimization through the optimal power flow and its influence on voltage collapse

This work presents an approach for geometric solution of an optimal power flow (OPF) problem for a two bus system (a slack and a PV busses). Additionally, the geometric relationship between the losses minimization and the increase of the reactive margin and, therefore, the maximum loading point, is shown. The algebraic equations for the calculation of the Lagrange multipliers and for the minimum losses value are obtained. These equations are used to validate the results obtained using an OPF program. (C) 2002 Elsevier B.V. B.V. All rights reserved.

Continuation fast decoupled power flow with secant predictor

The conventional Newton and fast decoupled power flow methods are considered inadequate for obtaining the maximum loading point of power systems due to ill-conditioning problems at and near this critical point. At this point, the Jacobian matrix of the Newton method becomes singular. In addition, it is widely accepted that the P-V and Q-theta decoupling assumptions made for the fast decoupled power flow formulation no longer hold. However, in this paper, it is presented a new fast decoupled power flow that becomes adequate for the computation of the maximum loading point by simply using the reactive power injection of a selected PV bus as a continuation parameter. Besides, fast decoupled methods using V and 0 as parameters and a secant predictor are also presented. These new versions are compared to each other with the purpose of pointing out their features, as well as the influence of reactive power and transformer tap limits. The results obtained for the IEEE systems (14 and 118 buses) show that the characteristics of the conventional method are enhanced and the region of convergence around the singular solution is enlarged.

Study of alternative schemes for the parameterization step of the continuation power flow method based on physical parameters, part I: Mathematical modeling

The conventional power flow method is considered to be inadequate to obtain the maximum loading point because of the singularity of Jacobian matrix. Continuation methods are efficient tools for solving this kind of problem since different parameterization schemes can be used to avoid such ill-conditioning problems. This paper presents the details of new schemes for the parameterization step of the continuation power flow method. The new parameterization options are based on physical parameters, namely, the total power losses (real and reactive), the power at the slack bus (real or reactive), the reactive power at generation buses, and transmission line power losses (real and reactive). The simulation results obtained with the new approach for the IEEE test systems (14, 30, 57, and 118 buses) are presented and discussed in the companion paper. The results show that the characteristics of the conventional method are not only preserved but also improved.

Study of alternative schemes for the parameterization step of the continuation power flow method based on physical parameters, part II: Performance evaluation

New parameterization schemes have been proposed by the authors in Part I of this paper. In this part these new options for the parameterization of power flow equations are tested, namely, the total power losses (real and reactive), the power at the slack bus (real or reactive), the reactive power at generation buses, and the transmission line power losses (real and reactive). These different parameterization schemes can be used to obtain the maximum loading point without ill-conditioning problems, once the singularity of Jacobian matrix is avoided. The results obtained with the new approach for the IEEE test systems (14, 30, 57, and 118 buses) show that the characteristics of the conventional method are not only preserved but also improved. In addition, it is shown that the proposed method and the conventional one can be switched during the tracing of PV curves to determine, with few iterations, all points of the PV curve. Several tests were also carried out to compare the performance of the proposed parameterization schemes for the continuation power flow method with the use of both the secant and tangent predictors.