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Abstract

The multicriteria decision process consists of five main steps: definition of the optimisation problem, determination of the weight structure of the decision criteria, design of the evaluation matrix, selection of the optimal evaluation method and ranking of solutions. It is often difficult to obtain the optimal solution to a multicriterion problem. The main reason is the subjective element of the model – the weight functions of the decision criteria. Expert opinions are usually taken into account in their determination. The aim of this article is to present a novel method of minimizing the uncertainty of the weights of the decision criteria using Monte Carlo simulation and method of data reconciliation. The proposed method is illustrated by the example of multicriterion social effectiveness evaluation for electric power supply to a building using renewable energy sources.
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Authors and Affiliations

Barbara Mendecka
Joachim Kozioł
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Abstract

This article introduces a laboratory-scale concept and research on photovoltaic (PV) modules designed for building integrated photovoltaics (BIPV) market, with enhanced architectural aesthetics and no protective glass. The proposed concept involves replacing a typical glass protective and load-bearing element of PV modules with an ethylene tetrafluoroethylene (ETFE) foil while using an aluminium sheet as a load-bearing element in the system. To further enhance the visual appeal of the solution, special modifications were proposed to the geometry of the front security foil. To confirm the feasibility of the proposed concept for mass production, critical tests were conducted on the material system and the process of modifying the surface of the ETFE foil. These tests included evaluating adhesion strength between layers, optical transmission coefficients, and electrical parameters of the developed PV modules. Additionally, the effect of the ETFE film modification on the formation of micro-cracks in solar cells was also investigated.
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Authors and Affiliations

Kazimierz Drabczyk
1
ORCID: ORCID
Grażyna Kulesza-Matlak
1
ORCID: ORCID
Piotr Sobik
2
ORCID: ORCID
Olgierd Jeremiasz
2
ORCID: ORCID

  1. Institute of Metallurgy and Materials Science, Polish Academy of Sciences, ul. Reymonta 25, 30-059 Kraków, Poland
  2. Helioenergia Sp. z o.o., ul. Rybnicka 68, 44-238 Czerwionka-Leszczyny, Poland
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Abstract

This paper presents the results of measurements of the operation of a photovoltaic system, connected to the power grid. The intensity of solar radiation and the ambient temperature in the location of the installation were simultaneously recorded in different weather conditions on selected days throughout the year. For the combined results the analysis of correlation in terms of efficiency of individual exemplary photovoltaic installation was conducted.
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Authors and Affiliations

Mariusz Sarniak
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Abstract

The article presents a water-cooling system for photovoltaic (PV) modules using a two-axis tracking system that tracks the apparent position of the Sun on the celestial sphere. The cooling system consists of 150 adjustable spray nozzles that cool the bottom layer of PV modules. The refrigerant is water taken from a tank with a capacity of 7 m 3. A water recovery system reduces its consumption with efficiency of approximately 90%. The experimental setup consists of a full-size photovoltaic installation made of 10 modules with an output power of 3.5 kWp combined with a tracking system. The article presents an analysis of the cooling system efficiency in various meteorological conditions. Measurements of energy production were performed in the annual cycle using three different types of photovoltaic installations: stationary, two-axis tracking system and two-axis tracking system combined with the cooling system.
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Authors and Affiliations

Kamil Płachta
1
Janusz Mroczka
1
Mariusz Ostrowski
1
ORCID: ORCID

  1. Wroclaw University of Technology, Faculty of Microsystem Electronics and Photonics, Chair of Electronic and Photonic Metrology, Bolesława Prusa 53/55, 50-317 Wrocław, Poland
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Abstract

This article considers designing of a renewable electrical power generation system for self-contained homes away from conventional grids. A model based on a technique for the analysis and evaluation of two solar and wind energy sources, electrochemical storage and charging of a housing area is introduced into a simulation and calculation program that aims to decide, based on the optimized results, on electrical energy production system coupled or separated from the two sources mentioned above that must be able to ensure a continuous energy balance at any time of the day. Such system is the most cost-effective among the systems found. The wind system adopted in the study is of the low starting speed that meets the criteria of low winds in the selected region under study unlike the adequate solar resource, which will lead to an examination of its feasibility and profitability to compensate for the inactivity of photovoltaic panels in periods of no sunlight. That is a system with fewer photovoltaic panels and storage batteries whereby these should return a full day of autonomy. Two configurations are selected and discussed. The first is composed of photovoltaic panels and storage batteries and the other includes the addition of a wind system in combination with the photovoltaic system with storage but at a higher investment cost than the first. Consequently, this result proves that is preferable to opt for a purely photovoltaic system supported by the storage in this type of site and invalidates the interest of adding micro wind turbines adapted to sites with low wind resources.

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Authors and Affiliations

Mohammed Salim Hadjidj
Nacereddine Bibi-Triki
Faouzi Didi
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Abstract

This article presents an investigation of solar power plants’ economic efficiency in the case of energy prosumers. The economic effect of the development of solar energy, the environmental effect of the transition to green energy and the social effect due to lower electricity costs and investment growth from the use of photovoltaic installations (PVI) have been proven. The level of annual savings in PVI due to changes in production and own consumption of electricity are determined. Through use of factor analysis, the grouping method, the method of generalizing indicators, quantitative data collection for solar PV systems and the matrix method, the two main hypotheses were proven: (i) solar energy production should be stimulated by a sound state tariff policy; (ii) prosumers as players of the electricity market should be considered in the tariff policy. It is revealed that at current interest rates, PVI operational activity is subject to more complex factors, and the main one becomes economic, namely considering the economy of consumers, the level of taxation or grants of PVI activities, as well as productivity and the real state of technical condition of devices. The provided research develops the theoretical and empirical basis for the state policy of solar electricity usage with consideration to the peculiarities of its production and consumption. The process of production and consumption of electricity in PVI is not characterized by uniformity, which is derived from a number of factors, primarily from natural and climatic conditions. It also depends on the technical characteristics of the devices.
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Authors and Affiliations

Piotr Olczak
1
ORCID: ORCID
Dominika Matuszewska
2
ORCID: ORCID
Andrii Lishchenko
3
ORCID: ORCID
Iryna Zhydyk
4
ORCID: ORCID
Viktor Koval
5
ORCID: ORCID
Olga Iermakova
5
ORCID: ORCID

  1. Mineral and Energy Economy Research Institute, Polish Academy of Sciences, Kraków, Poland
  2. Faculty of Energy and Fuels, AGH University of Science and Technology, Kraków, Poland
  3. Interregional Academy of Personnel Management, Ukraine
  4. National University of Water and Environmental Engineering, Ukraine
  5. National Academy of Sciences of Ukraine, Ukraine
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Abstract

Perovskite solar cells represent the biggest breakthrough in photovoltaics in decades, bringing a chance for affordable and widely available green energy. They are suitable in areas where silicon cells have fallen short.
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Authors and Affiliations

Olaf Szewczyk
1

  1. Saule Technologies in Warsaw
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Abstract

In this work, two thermal- and air-stable, hole transporting materials (HTM) in perovskite solar cells are analyzed. Those obtained and investigated materials were two polyazomethines: the first one with three thiophene rings and 3,3′-dimethoxybenzidine moieties (S9) and the second one with three thiophene rings and fluorene moieties (S7). Furthermore, presented polyazomethines were characterized by Fourier transform infrared spectroscopy (FTIR), UV–vis spectroscopy, atomic force microscopy (AFM) and thermogravimetric analysis (TGA) experiments. Both polyazomethines (S7 and S9) possessed good thermal stability with a 5% weight loss at 406 and 377°C, respectively. The conductivity of S7 was two orders of magnitude higher than for S9 polymer (2.7 × 10−8 S/cm, and 2.6 × 10−10 S/cm, respectively). Moreover, polyazomethine S9 exhibited 31 nm bathochromic shift of the absorption band maximum compared to S7.

Obtained perovskite was investigated by UV–vis and XRD. Electrical parameters of perovskite solar cells (PSC) were investigated at Standard Test Conditions (STC). It was found that both polyazomethines protect perovskite which is confirmed by ageing test where Voc did not decrease significantly for solar cells with HTM in contrast to solar cell without hole conductor, where Voc decrease was substantial. The best photoconversion efficiency (PCE = 6.9%), among two investigated in this work polyazomethines, was obtained for device with the following architectures FTO/TiO2/TiO2 + perovskite/S7/Au. Stability test proved the procreative effects of polyazomethines on perovskite absorber.

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Authors and Affiliations

K. Gawlinska
A. Iwan
Zbigniew Starowicz
ORCID: ORCID
G. Kulesza-Matla
K. Stan-Glowinska
M. Janusz
M. Lipinski
B. Boharewicz
I. Tazbir
A. Sikora
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Abstract

Effects of temperature variation on the performance of silicon heterojunction solar cells are studied using opto-electrical simulations. It is shown that the low-temperature cell efficiency is determined by the fill factor, while at high temperatures it depends on the open-circuit voltage. Simulations revealed that the low-temperature drop in the fill factor is caused by poor tunnelling, in particular at the ITO/p-a-Si:H heterojunction. The authors link this drop in fill factor to a low maximum-power-point voltage and show how poor tunnelling is reflected in the charge redistribution determining the device voltage. The effect of the contact work function on temperature behaviour of efficiency by varying the electron affinity of ITO layers has been demonstrated. It was also demonstrated that increasing the electron affinity of ITO on the p-side minimises the work function mismatch, leading to significant improvements in efficiency, especially at low temperatures, while optimisation on the n-side results in marginal improvements over the entire temperature range. In addition to the cumulative effects of the temperature-dependent parameters, their individual contributions to the efficiency were also investigated. Moreover, it was presented that the thermal energy (kT) determines the efficiency temperature behaviour, while other parameters play only a minor role. This paper shows how temperature variations affect device performance parameters.
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Bibliography

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Authors and Affiliations

Jošt Balent
1
ORCID: ORCID
Marko Topič
1
ORCID: ORCID
Janez Krč
1
ORCID: ORCID

  1. University of Ljubljana, Faculty of Electrical Engineering, Tržaška cesta 25, 1000 Ljubljana, Slovenia
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Abstract

The ethylene vinyl acetate (EVA) is widely used for solar modules encapsulation. During lamination process EVA melts and chemical bonds between polymer chains are created. Its number is tightly related to cross-linking degree and it is consider as a major quality reference for module encapsulation. The lamination can be described as a process with two stages: melting and curing where the typical temperature for curing is in the range from 145 to 175°C. In the present study, for the first time, comparison of three commercial available EVA foils with low curing temperature EVA (EVA LOW). For this reason, the temperature of following lamination processes was set from a range from 115 to 175°C. The behavior of cured EVA films under investigation EVA was determined with two approaches: with extraction and with optical methods. The results indicate the applicability of these methods for the EVA cross-linking characterization. Finally, the extraordinary behavior of EVA LOW foil was noticed.
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Authors and Affiliations

K. Gawlińska
K. Drabczyk
Z. Starowicz
P. Sobik
B. Drabczyk
P. Zięba
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Abstract

This paper presents maps of spatial distributions of the short circuit current Isc(x,y) and the open circuit voltage Uoc(x,y) of the investigated low cost solar cells. Visible differences in values of these parameters were explained by differences in the serial and shunt resistances determined for different points of solar cells from measurements of I–V characteristics. The spectral dependence of the photo voltage of solar cell is also shown, discussed and interpreted in the model of amorphous and crystal silicon.
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Authors and Affiliations

Łukasz Bartłomiej Chrobak
Wiesław Ryszard Madej
Mirosław Andrzej Maliński
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Abstract

The presented article is a report on progress in photovoltaic devices and material processing. A cadmium telluride solar cell as one of the most attractive option for thin-film polycrystalline cell constructions is presented. All typical manufacturing steps of this device, including recrystalisation and junction activation are explained. A new potential field of application for this kind of device - the BIPV (Building Integrated Photovoltaic) is named and discussed. All possible configuration options for this application, according to material properties and exploitation demands are considered. The experimental part of the presented paper is focused on practical implementation of the high- temperature polymer foil as the substrate of the newly designed device by the help of ICSVT (Isothermal Close Space Vapour Transport) technique. The evaluation of the polyester and polyamide foils according to the ICSVT/CSS manufacturing process parameters is described and discussed. A final conclusion on practical verification of these materials is also given.

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Authors and Affiliations

M. Sibińksi
Z. Lisik
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Abstract

The energy efficiency of photovoltaic modules is one of the most important aspects in energetic and economic aspects of the project related to system installations. The efficiency of modules and the electricity produced by photovoltaic conversion in solar modules is affected by many factors, both internal, related to the module structure itself and its technical and external factors related to the energy infrastructure, which includes: cabling, inverters, climate conditions prevailing at the micro-installation location and the orientation and angle of inclination of the solar modules. The installation of photovoltaic modules should be preceded by an energy efficiency analysis, which will help to indicate the optimal solution adapted to the given conditions. The article presents a comparative analysis of the amount of energy produced under real and simulated conditions. Analyzes were made on the basis of research carried out in the Wind and Solar Energy Laboratory located at the AGH University of Science and Technology, data from solar irradiation data-bases and computer software for estimating energy resources. The study examined the correlation of the solar irradiation on the modules and the amount of electricity generated in the photovoltaic module. The electricity produced by the module was compared under real conditions and simulated based on two sources of data. The comparison and analysis of the amount of energy of the module were also made, taking simulated different angles of the module’s inclination into account.

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Authors and Affiliations

Bartosz Soliński
Monika Stopa
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Abstract

The paper presents the results of the energy analysis of the conversion of solar radiation energy into electrical energy in Polish weather conditions. The effect of sunlight and working temperature on the photovoltaic module on its power curve P = f(U) is shown. STC and NOCT conditions are described for which the manufacturers specify the parameters of the photovoltaic modules. The manufacturers of photovoltaic panels should give the PPV = f(E) characteristic for the different values of the operating temperature of the modules. An analysis of the economic efficiency of a photovoltaic power plant investment of 1 MWp taking the current legal regulations for the three variants into account was presented. Variant I – the investor benefits from the support of public aid of operational only, Variant II – the investor benefits from the support of public aid for investment in the amount of PLN 1 million, Variant III – the investor benefits from the support of public aid for investment in the amount of PLN 2 million. For all variants, indicators for assessing the economic effectiveness of the investment and the value of the auction price from the maximum price to the price at which the project loses its profitability are determined.

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Authors and Affiliations

Bartosz Ceran
Radosław Szczerbowski
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Abstract

The energy sector, particularly that related to renewable energy, is growing rapidly. The analysis of factors influencing the production of electricity from solar radiation is important in terms of the ever-increasing number of photovoltaic (PV) installations. In Poland, the vast majority of installed PV capacity belongs to prosumers, so a comparative analysis was conducted for two domestic installations, one in southern Poland and the other located in central Poland. Operating conditions were compared, specifically with regard to irradiance, outdoor temperature and the calculated temperature of photovoltaic cells. The specific yield was then compared in daily, monthly and annual statements. The effects of the previously mentioned parameters on the energy yields of the two installations were considered. The installation in southern Poland in 2022 produced 5,136.6 kWh, which corresponds to a specific yield of 1,019.17 kWh/kWp, while the energy production of the installation in central Poland was 4,248.9 kWh, which corresponds to a specific yield of 965.67 kWh/kWp.
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Authors and Affiliations

Emilia Kazanecka
1
Piotr Olczak
2
ORCID: ORCID

  1. Mineral and Energy Economy Research Institute, Polish Academy of Sciences; AGH University of Science andTechnology, Kraków, Poland
  2. Mineral and Energy Economy Research Institute, Polish Academy of Sciences, Poland
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Abstract

Photovoltaic (PV) technologies which play a role in PV market are divided into basic two types: wafer-based (1st generation PV) and thin-film cell (2nd generation PV). To the first category belong mainly crystalline silicon (c-Si) cells (both mono- and multi-crystalline). In 2015 around 90% of the solar market belonged to crystalline silicon. To the 2nd generation solar cells belongs thin film amorphous silicon (a-Si) or a combination of amorphous and microcrystalline silicon (a-Si/μc-Si), compound semiconductor cadmium telluride (CdTe), compound semiconductor made of copper, indium, gallium and selenium (CIS or CIGS) and III–V materials. The PV market for thin film technology is dominated by CdTe and CIGS solar cells. Thin film solar cells’ share for all thin film technologies was only 10% in 2015. New emerging technologies, called 3rd generation solar cells, remain the subject of extensive R&D studies but have not been used in the PV market, so far.

In this review the best laboratory 1st and 2nd generation solar cells that were recently achieved are described. The scheme of the layer structure and energy band diagrams will be analyzed in order to explain the boost of their efficiency with reference to the earlier standard designs.

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Authors and Affiliations

E. Płaczek-Popko
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Abstract

The presented distributed photovoltaic system is made of divided into individual modules photovoltaic panel, consisting of several photovoltaic cells properly connected and coupling them with low-power DC / DC converters. The essence of the research is to increase the reliability of the system and the resultant efficiency of the entire system, so that it is possible to convert solar radiation energy into electricity with the greatest efficiency. The article focuses on the presentation of the implementation and tests of the overriding control algorithm, the task of which is to provide full functionality for a distributed photovoltaic system. The control is designed to minimize the negative effects of shadows on the operation of the photovoltaic system and conduct self-diagnostics. The conclusion for the carried out work is the formulation of hardware and interface requirements for the further development of the project.
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Authors and Affiliations

Mariusz Świderski
1
Amadeusz Gąsiorek
1

  1. Faculty of Control, Robotics and Electrical Engineering, Poznan University of Technology, Poland
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Abstract

Research related to photovoltaic panels comprises different topics starting with modelling solar cells, finding new maximum power point tracking (MPPT) algorithms, testing existing ones or designing of DC/DC converters for MPPT systems and microgrids that incorporate photovoltaic energy sources. In each of the examples above a deep knowledge of photovoltaic panels is required, as well as a reliable measurement system that can deliver continuous, stable light with enough power to meet standard test conditions (STC) and that can ensure repeatable results. Therefore this paper presents a low-cost solar simulator with a microcontroller-based measurement system, that can be used for various measurements of low-power photovoltaic panels.
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Authors and Affiliations

Marcin Walczak
1
Leszek Bychto
1
Jarosław Kraśniewski
1
ORCID: ORCID
Stanisław Duer
2

  1. Koszalin University of Technology, Department of Electronics and Computer Science, Faculty of Electronics, 2 Śniadeckich St., 75-453 Koszalin, Poland
  2. Koszalin University of Technology, Department of Energy, Faculty of Mechanical Engineering, 15–17 Racławicka St., 75-620 Koszalin, Poland
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Abstract

In less than a decade, the photovoltaic sector has transformed into a global business. The dynamics of its development vary depending on the country. According to estimates, the value of the photovoltaic micro-installations market in Poland at the end of 2019 exceeded PLN 2.8 billion. In the first half of 2020, the PV sector recorded dynamic growth with a total capacity of the micro-installations of 2.5 GWp. Government subsidies were among the factors contributing to the expansion of the PV sector. In Poland, there are many financial ways to intensify the construction of new renewable energy source installations, among others: feed-in tariff, grants, and loans. An example of photovoltaic grant support in Poland is the “Mój Prąd” [My Electricity] program created in 2019 with a budget of PLN 1.1 billion. The interest in the “My Electricity” program in individual provinces may vary, depending on socio-economic factors, technological and environmental resources, and the level of innovation. The research motivation of this article is a comparison of provinces in Poland according to selected energy, environmental, innovation, and socio-economic indicators and to show how these factors affect individual interest in the “My Electricity” photovoltaic development program in provinces. The highest correlation is for the total installation power under the “My Electricity” program and Gross Domestic Product and Human Developed Index. The highest correlation coefficient from RIS indicators and photovoltaic data programs was achieved for “R&D expenditure in the business sector”. The population was closely correlated with the total installation power and the grant value of the “My Electricity” program.
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Authors and Affiliations

Justyna Cader
1 2
ORCID: ORCID
Piotr Olczak
1
ORCID: ORCID
Renata Koneczna
1
ORCID: ORCID

  1. Mineral and Energy Economy Research Institute of the Polish Academy of Sciences, Kraków, Poland
  2. Faculty of Geology, University of Warsaw, Poland
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Abstract

The large variability and unpredictability of energy production from photovoltaic power microinstallations results from the dependence on the current weather conditions. These conditions depend on a number of factors and are variable over the time. Despite this specificity, photovoltaic micro-installations are becoming more and more popular in the world and in Poland. This is mainly due to the fact that the generation of energy from renewable sources has numerous advantages, the energy is free, renewable in time and ecological, and its production on its own gives partial independence from energy supplies from the power grid. In addition, the observed significant prices decrease of solar modules has further accelerated the development of the use of this energy source. Concern for this method of energy production among households has increased significantly in Poland after introducing the prosumer in the legal framework and the use of administrative and financial support. The implemented prosumer mechanisms allowed, for example, the net balancing of the energy consumed and produced by the micro-installation through storage in the power grid. The article describes the problem of balancing sources using solar energy, based on micro-installation used in the household (the so-called prosumer installation). The conducted analyses compared the load profile of a typical household and the energy generation profile from a photovoltaic installation, determining the real balancing formation level of such a system.

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Authors and Affiliations

Bartosz Soliński
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Abstract

Recently, the search for new effective energy production solutions has been focused on the production of electricity using renewable and environmentally friendly carriers. This resulted in an increased interest in PV cells and cogeneration systems. The article looks at the main factors affecting their operational parameters against the background of the development history of subsequent generations of PV cells. Average daily solar radiation and wind velocity in Lodz were characterized. The research was done on a static and tracking system with a total peak power of 15 kWp and a 30 kW microturbine. PV panels are installed on the building of the Institute of Electrical Power Engineering of the Lodz University of Technology and they work as part of DERLab. A microturbine is inside the building. Energy measurements were carried out in 2016 giving grounds for the analysis of energy efficiency and financial analysis of the energy supply in buildings. Energy yields in the static and tracking system as well as percentage coverage of electricity from PV cells and microturbines were assessed. The distribution of monthly savings, annual savings of energy costs and the payback time of the investment costs of the systems subject to the test were determined. The research we have done allows us to say that the energy produced by follow-up modules is about 3 times greater than that generated in stationary modules. On the other hand, the annual savings of energy costs using gas micro-turbines are about 10 times higher than those of lagging panels. The analysis shows that it is possible to determine the profitability of the microturbine and photovoltaic panels use despite large financial outlays. The payback period of investment outlays is about 12 years when using the installation throughout the year.

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Authors and Affiliations

Paulina Sawicka-Chudy
Elżbieta Rybak-Wilusz
Maciej Sibiński
Marian Cholewa
Ryszard Pawełek
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Abstract

The overriding objective of the National Electric Power System (KSE) is to ensure the security of electricity supply. In summer, the upward trend in the demand for electric energy is caused by, among others, the proliferation of air conditioners. Therefore, the upward trend in summer’s on-peak demand is expected to be maintained. Examples from 2015, 2016 or 2018 indicate that National Electric Power System needs a summer’s on-peak source that will be able to produce electricity regardless of the hydrological conditions. Photovoltaics is a source of energy that can cover the peak demand during sweltering heat. This article briefly characterizes the problem of increasing demand for electricity in summer and uses examples that have taken place in recent years. The main conclusion is the postulate for the extension of photovoltaic power in the National Electric Power System, the purpose of which will be the production of electricity during sweltering heat, covering the peak load in the system. This article presented both the advantages and disadvantages of such a solution. Unfavorable weather conditions (high air temperature, low water level, lack of wind) limit the production of electricity from wind farms or conventional power plants, and also increase transmission losses, which is why photovoltaics is a desirable source from the National Electric Power System’s point of view. The article refers to examples from the Czech Republic and Germany, where a significant installed capacity of photovoltaics enables the stable operation of the power system during sweltering heat. It was also pointed out that the role of photovoltaics in the National Electric Power System is growing, which is consistent with the assumptions of the Polish Energy Policy Project until 2040.

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Authors and Affiliations

Bartosz Sobik
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Abstract

This paper discusses the idea of combining a photovoltaic system with a heating film system to heat residential buildings. The analysis was performed for a newly built single-family house in Warsaw or its vicinity. The authors have selected the size of the photovoltaic installation, calculated the costs incurred by the user for the installation of a hybrid system, which were additionally compared to the cost of installing a gas installation (gas boiler) used for heating the building. The calculations were made for a single-family house with a usable area of 120 m2, the demand for utility energy for heating purposes in the newly built house was in the range of 10–50 kWh/m2/year. Based on the adopted parameters, the authors evaluated the economic efficiency of both investments (solutions) determining their net present values (NPV). The analysis takes the energy needed only for heating purposes into account.
NPV for a heating system with a gas boiler with an investment outlay EUR 8,000 for buildings purchased for utility energy in the amount of 20 kWh/m2/year and the price for natural gas EUR 0.04 /kWh will be EUR –10,500 (for 15 years, discount rate r = 3%). For the same thermal needs (energy required) of the building, NPV for heating films + photovoltaic (HF + PV) will amount to – EUR 8,100. Comparing the variants will get a EUR 2,400 higher NPV for HF + PV. With a utility energy demand for heating purpose of 50 kWh/m2/year and gas heating installation investment cost of EUR 7,000, the NPV for both variants will be equal for natural gas price = EUR 0.035/kWh.
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Authors and Affiliations

Krystian Majchrzak
1 2
Monika Pepłowska
3
ORCID: ORCID
Piotr Olczak
1
ORCID: ORCID

  1. Mineral and Energy Economy Research Institute of the Polish Academy of Sciences, Kraków, Poland
  2. Instaway Institute, Warszawa, Poland
  3. Mineral and Energy Economy Research Institute, Polish Academy of Sciences, Kraków, Poland

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