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Abstract

Photovoltaic cells have been used for a long time to supply the electrical devices of small power in areas without access to the electricity networks (or other sources of electric energy). The ecological aspect of the use of the renewable energy sources, together with the technology development and increasingly lower costs of production the photovoltaic cells, cause the increase of their application. The solar power plants are built in several places in the world, not necessarily in the areas of high light intensity. Nowadays, such developments mostly depend on the wealth of a particular country. The largest photovoltaic power stations have power of a several dozen of MW. The major disadvantage of the photovoltaic cells is that the energy production is possible only during the day. This causes a necessity of energy accumulation in large photovoltaic systems. One possibility of storing large amounts of energy gives a hydrogen fuel, generated in the electrolysers powered directly from photovoltaic cells. Hydrogen, stored in pressure tanks or in tanks with synthetic porous materials, can be again used to produce electricity in fuel cells. This paper introduces selected issues and test results associated with the use of photovoltaic cells to power the hydrogen generators. The possible connections of photovoltaic modules integrated with electrolysers were analyzed. In this article the results of the electricity daily production by polycrystalline photovoltaic cells, collected in the course of the entire year were also presented.
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Authors and Affiliations

Daniel Węcel
Włodzimierz Ogulewicz
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Abstract

This paper presents the possibility of reducing the demand for nonrenewable primary energy for buildings using a new conceptual adsorption system of cooling and heating supplied by solar energy. Moreover, the aim of this study is to shorten the payback time of investment in the standard adsorption cooling system through its integration with the heating system. Research has been carried out for an energy-efficient medium-sized single-family building with a floor area of 140 m2 and a heat load of 4.2 kW and cold load of 4.41 kW. It has been shown that the use of an adsorption system of cooling and heating supplied by solar energy decreased the demand for nonrenewable primary energy by about 66% compared to the standard building that meets the current requirements.

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Authors and Affiliations

Michał Turski
Robert Sekret
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Abstract

The paper contains the economic analysis of the carried out modernisation of the facilities of a water-park consisting in fitting solar collectors for heating of tap hot water and central heating system. The article presents the data showing investment outlays, operating costs and the calculations concerning the payback time.
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Authors and Affiliations

Karol Tucki
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Abstract

The paper contains the technical analysis of the carried out modernisation of the facilities of a water-park consisting in fitting solar collectors for the heating of tap hot water and central heating system. The article includes information on the modernisation carried out with a particular emphasis on analysing the way in which the equipment has been selected and technical solutions employed.
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Authors and Affiliations

Karol Tucki
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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 shows the proposed solution of the objective function for the seasonal thermal energy storage system. In order to develop this function the technological and economic assumptions were used. In order to select the optimal system configuration mathematical models of the main elements of the system were built. Using these models, and based on the selected design point, the simulation of the entire system for randomly generated outside temperatures was made. The proposed methodology and obtained relationships can be readily used for control purposes, constituting model predicted control (MPC).
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Authors and Affiliations

Jarosław Milewski
Łukasz Szabłowski
Wojciech Bujalski
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Abstract

The efficacy of solar heat in the control of bacterial soft rot of potato tubers was investigated in Maiduguri, semi-arid region of Northeastern Nigeria. Artificially contaminated tubers were exposed to solar heat for duration of 0, 30, 60, 120 and 180 minutes. The results showed that exposures for 120 and 180 minutes gave the highest control of the disease, although during the hot dry season (mean temperature at exposure was 54.6°C) exposure even for 30 minutes gave satisfactory control of the disease. Solar heat can therefore be used to control of bacterial soft rot of potato tubers.

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Authors and Affiliations

Bulus Shapshi Bdliya
Humphrey Umaru Haruna
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Abstract

Solar radiation (Rs) is an essential input for estimating reference crop evapotranspiration, ETo. An accurate estimate of ETo is the first step involved in determining water demand of field crops. The objective of this study was to assess the ac-curacy of fifteen empirical solar radiations (Rs) models and determine its effects on ETo estimates for three sites in humid tropical environment (Abakaliki, Nsukka, and Awka). Meteorological data from the archives of NASA (from 1983 to 2005) was used to derive empirical constants (calibration) for the different models at each location while data from 2006 to 2015 was used for validation. The results showed an overall improvement when comparing measured Rs with Rs determined us-ing original constants and Rs using the new constants. After calibration, the Swartman–Ogunlade (R2 = 0.97) and Chen 2 models (RMSE = 0.665 MJ∙m–2∙day–1) performed best while Chen 1 (R2 = 0.66) and Bristow–Campbell models (RMSE = 1.58 MJ∙m–2∙day–1) performed least in estimating Rs in Abakaliki. At the Nsukka station, Swartman–Ogunlade (R2 = 0.96) and Adeala models (RMSE = 0.785 MJ∙m–2∙day–1) performed best while Hargreaves–Samani (R2 = 0.64) and Chen 1 mod-els (RMSE = 1.96 MJ∙m–2∙day–1) performed least in estimating Rs. Chen 2 (R2 = 0.98) and Swartman–Ogunlade models (RMSE = 0.43 MJ∙m–2∙day–1) performed best while Hargreaves–Samani (R2 = 0.68) and Chen 1 models (RMSE = 1.64 MJ∙m–2∙day–1) performed least in estimating Rs in Awka. For estimating ETo, Adeala (R2 =0.98) and Swartman–Ogunlade models (RMSE = 0.064 MJ∙m–2∙day–1) performed best at the Awka station and Swartman–Ogunlade (R2 = 0.98) and Chen 2 models (RMSE = 0.43 MJ∙m–2∙day–1) performed best at Abakaliki while Angstrom–Prescott–Page (R2 = 0.96) and El-Sebaii models (RMSE = 0.0908 mm∙day–1) performed best at the Nsukka station.

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Authors and Affiliations

Emeka Ndulue
Ikenna Onyekwelu
Kingsley Nnaemeka Ogbu
Vintus Ogwo
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Abstract

Thin film solar cells based on multinary compound Cu(In,Ga)Se2 show record photovoltaic conversion efficiency approaching 20%. Investigation on defect physics in this compound is crucial for making further progress in the technology. In this work we present the results on photocapacitance (PC) and deep level optical spectroscopy (DLOS) for two types of cells – high efficiency Cu(In,Ga)Se2 cell with about 20% of gallium and pure gallium CuGaSe2 device. We show that PC and DLOS, employed as the techniques complimentary to deep level transient spectroscopy DLTS and admittance spectroscopy, are useful methods in providing information on defect levels in solar cells. In particular they are helpful in diffierentiating between levels belonging to the bulk of absorber and to the interface states. We tentatively assign some of the observed deep levels to InCu or GaCu antisites and Cu interstitials.

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Authors and Affiliations

M. Igalson
A. Urbaniak
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Abstract

The proper designing of PV systems requires the use of advanced building energy simulation techniques. It allows to design the best position of the PV array, as well as the right quantity of produced energy in different cases. On the other hand the PV efficiency is not only a constant value but changes according to temperature and solar radiation. This paper is devoted to estimate the simultaneous effect of both weather factors on PV efficiency. The task was achieved by numerical simulation and ESP-r software. Computer simulations have been carried out with the use of the Typical Meteorological Year data for Warsaw (52°N 21°E). The greatest influence of temperature on the efficiency of solar energy conversion was observed for crystalline silicon cells. The influence of the boundary conditions assumed in the study is ignored for amorphous silicon cells in the summer period and regardless of the material type in the winter period.

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Authors and Affiliations

D. Heim
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Abstract

This paper presents the first results of measurements of global solar radiation, albedo, ground surface and 2−m air temperature, relative humidity, and wind speed and direction carried out in the central part of Spitsbergen Island in the period 2008–2010. The study site was located on the coastal ice−free zone of Petuniabukta (north−western branch of Billefjorden), which was strongly affected by local topography, character of the ground surface, and sea ice extent. Temporal analysis of the selected meteorological parameters shows both strong seasonal and inter−diurnal variation affected by synoptic−scale weather systems, channelling and drainage effects of the fjords and surrounding glaciers. The prevailing pattern of atmospheric circulation primarily determined the variation in global solar radiation, wind speed, ground surface and 2−m air temperatures. Furthermore, it was found that thermal differences between Petuniabukta and the nearest meteorological station (Svalbard Lufthavn) differ significantly due to differences in sea ice concentrations and ice types in the fjords during the winter and spring months.
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Authors and Affiliations

Kamil Láska
Denisa Witoszová
Pavel Prošek
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Abstract

This article presents the results of observations of selected fluxes of the radiation balance in north-western Spitsbergen in the years from 2010 to 2014. Measurements were taken in Ny-Ålesund and in the area of Kaffiøyra, on different surface types occurring in the Polar zone: moraine, tundra, snow and ice. Substantial differences in the radiation balance among the various types of surface were observed. The observations carried out in the summer seasons of 2010-2014 in the area of Kaffiøyra demonstrated that the considerable reflection of solar radiation on the Waldemar Glacier (albedo 55%) resulted in a smaller solar energy net income. During the polar day, a diurnal course of the components of the radiation balance was apparently related to the solar elevation angle. When the sun was low over the horizon, the radiation balance became negative, especially on the glacier. Diurnal, annual and multi-annual variations in the radiation balance have a significant influence on the functioning of the environment in polar conditions.
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Authors and Affiliations

Marek Kejna
Marion Maturilli
Andrzej Araźny
Ireneusz Sobota
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Abstract

The development of solar generation is an integral part of evaluating renewable “green” energy in accordance with the concept of sustainable development. This study focuses on the specifics of the implementation of solar energy in the context of the USA, the EU and China, taken as an object in connection with the specifics of the geographical-territorial and climatic-natural situation. The originality of the research lies in the approach of modelling the implementation of solar power generation with consideration to the main economic, technological, and resource factors. This study aims to assess trends in the development and implementation of regional solar power generation. Solar energy development is performed exclusively at the expense of private investment and state support is minimal. Therefore, the power of installed solar power plants relative to the amount of invested investments shows a high correlation. From the perspective of economic activity, solar energy in the analyzed regions is used by households in small amounts. The highest use of solar energy by households is in the USA, where this indicator is 8.3%, and the lowest is in China (0.13%). The analysis indicates that currently, solar energy is not a priority for developing the energy sector but is only a supplement. Further solar energy development is possible owing to technological innovations that will increase the efficiency of solar radiation use. The analysis also revealed the conclusion that the most powerful use of solar energy appears in China, with a figure of 19.6%, while the US has only 4.04% and the EU has almost 9%. According to the criterion of economic and technological influence on solar energy development, China occupies a leading position (9.89%), whereas the EU has only 0.03%. Thus, solar energy is currently not an attractive area for business and needs to prioritize the development of the EU economy, which is confirmed by insignificant investment flows compared to China and the USA.
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Authors and Affiliations

Viktor Koval
1
ORCID: ORCID
Yevheniia Sribna
2
ORCID: ORCID
Vira Brednyova
3
ORCID: ORCID
Lyudmila Kosharska
4
ORCID: ORCID
Mykhailo Halushchak
5
ORCID: ORCID
Michał Kopacz
6
ORCID: ORCID

  1. Izmail State University of Humanities, Izmail, Ukraine
  2. National University of Water and Environmental Engineering, Ukraine
  3. Odessa State Academy of Civil Engineering and Architecture, Odesa, Ukraine
  4. Odessa National Maritime University, Odesa, Ukraine
  5. Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
  6. Mineral and Energy Economy Research Institute of the Polish Academy of Sciences, Poland
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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

Studies conducted between December 20. 1978 and February 20. 1979 on Arctowski Station show that daily sums of total radiation ranged from 165.5 to 834.5 mWhr x cm2. Maximal mean hourly radiations were recorded from 12 to 14 hours (39.7—72.4 mWhr x cm2).

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Authors and Affiliations

Adam Krężel
Kazimierz Pęcherzewski
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Abstract

The analysis and assessment of the development of solar energy were carried out and it was noted that the production of solar electricity in the world has increased by more than 15% over the last year. In 2020 there are more than 37 countries with a total photovoltaic capacity of more than one GW, and the share of solar energy in total world electricity production was 8.15%. In the regional context, the largest production of electricity by solar energy sources is in Asia (at the expense of India and China) and North America (USA). The study assesses the main factors in the development of solar energy from the standpoint of environmental friendliness and stability of the electricity supply. The problem of the utilization of solar station equipment in the EU and the US is considered. According to the IPCC, IEA, Solar Power Europe, forecasting the development of solar energy in the world is considered. It is proved that the main factor in assessing the economic efficiency of solar energy production is a regional feature due to natural and climatic conditions (intensity of solar radiation). The use of solar generation is auxiliary for the operation of modern electrical networks as long as the efficiency of photovoltaic cells increases by at least 60–65%. Marginal costs of solar energy are minimal in those countries where active state support is provided. The competitiveness of solar energy is relatively low. However, from the standpoint of replacing energy fuel at a cost of USD 10 per 1 Gcal of solar energy saves 10–20 million tons of conventional fuel. Industrial production of solar electricity at modern solar power plants forms a price at the level of USD 250–450 for 1 MWh.
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Authors and Affiliations

Yevheniia Sribna
1
ORCID: ORCID
Viktor Koval
2
ORCID: ORCID
Piotr Olczak
3
ORCID: ORCID
Dmytro Bizonych
4
Dominika Matuszewska
5
ORCID: ORCID
Oleksandr Shtyrov
6

  1. National University of Water Management and Environmental Engineering, Rivne, Ukraine
  2. National Academy of Sciences of Ukraine, Kyiv, Ukraine
  3. Mineral and Energy Economy Research Institute of the Polish Academy of Sciences, Kraków, Poland
  4. Etalontechservice LLC, Kharkiv, Ukraine
  5. AGH University of Science and Technology, Kraków, Poland
  6. Petro Mohyla Black Sea National University, Mykolaiv
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Abstract

In Poland an increase in the of number solar thermal collectors is observed in household applications. For economic and ecological profitability the creation of a solar thermal installation design in a proper manner is essential.

In order to determine solar installations size, software calculating future solar heat gains is used. SHW software is an examples of such software. The aim of this work was to compare the simulation results with the real results of the solar installation operation. The comparison was performed by an example of a single-family house with flat plate collector installations located in south-east Poland. This installation supports domestic hot water preparation in a house occupied by four people (in two-year period of analyses). The additional heat source in this building is a gas boiler. Solar fraction parameter values were chosen for this comparison. Solar fraction is calculated as a ratio of solar heat gains used in the domestic hot water preparation process to the heat desired for domestic hot water preparation. The real results of Solar Fraction turned out to be higher than the simulation results from May to August (there were many days with Solar Fraction = 1). A difference of 20–50 percentage points was observed (Solar Fraction). Apart from this period no special differences were observed.

Additionally analyses of differences between solar heat gains calculated by Get Solar simulation software with real values (for analyzed building) was performed. This simulation analysis was done before process of building installations.

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Authors and Affiliations

Piotr Olczak
ORCID: ORCID
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Abstract

The discovery story of photovoltaic cells is entirely typical. Chance played a role in it, and before it went to the average user, it first served the army. In addition, as with the discovery of electricity, there are many scientists and more than 100 years of technological development behind how modern photovoltaic cells and solar panels work. The first photovoltaic panels were able to power, at most, a radio. Today their power allows for the production of energy for the entire household. Technology is continuously developing, and the hence achieved efficiency keeps growing. Modern silicon solar cells of large photovoltaic farms power thousands of buildings, and this installation can be seen more and more often. This article describes the development of the use of solar energy since ancient times and the comprehensive history of the invention of the photovoltaic cell, starting with the discovery of the photoelectric effect by Edmond Becquerel in 1839 to the achievement of nearly 50% efficiency under laboratory conditions. The advances in photovoltaic cell efficiency and the price of energy production per watt over the years are also shown. Examples of the first applications of photovoltaics are given, and profiles of figures who contributed to the development of solar technology are introduced. The considerable influence of Polish scientists on the development of the photovoltaic cell is also highlighted. Without them, this method of obtaining energy would perhaps not be at high levelh level today.
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Authors and Affiliations

Adam Starowicz
1
Paulina Rusanowska
1
Marcin Zieliński
1

  1. Environmental Engineering, University of Warmia and Mazury in Olsztyn, Poland
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Abstract

In this work, we propose a new method for manufacturing busbars in photovoltaic modules for different solar cell generations, focusing on 1st and 3rd generations. The method is based on high-pressure spray coating using nanometric metallic powder. Our focus is primarily on optimizing conductive paths for applications involving conductive layers used in 3rd generation solar cells, such as quantum dot solar cell, dye-sensitized solar cell, and silicon-based solar cells on glass-glass architecture for buildingintegrated photovoltaic. The advantages of the proposed method include the possibility of reducing the material quantity in the conductive paths and creating various shapes on the surface, including bent substrates.
This paper examines the influence of the proposed high-pressure spraying technique using metallic particles on the morphology of the resulting conductive paths, interface characteristics, and electrical parameters. Conductive paths were created on four different layers commonly used in photovoltaic systems, including transparent conductive oxide, Cu, Ti, and atomic layer deposition processed Al 2O 3. The use of high-pressure technology enables the production of conductive layers with strong adhesion to the substrate and precise control of the spatial parameters of conductive paths. Furthermore, the temperature recorded during the deposition process does not exceed 385 K, making this technique suitable for various types of substrates, including glass and silicon. Additionally, the produced layers exhibit low resistance, measuring less than 0.3Ω . Finally, the mechanical resistance, as determined through tearing tests, as well as environmental and time stability, have been confirmed for the produced paths.

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Authors and Affiliations

Paweł Kwaśnicki
1 2
Anna Gronba-Chyła
1
Agnieszka Generowicz
3
Józef Ciuła
4
Iwona Wiewiórska
5
Krzysztof Gaska
6

  1. John Paul II Catholic University of Lublin, Faculty of Natural and Technical Sciences, Konstantynów 1 H, 20-708 Lublin, Poland
  2. Research & Development Centre for Photovoltaics, ML System S.A., Zaczernie 190G, 36-062 Zaczernie, Poland
  3. Cracow University of Technology, Department of Environmental Technologies, Warszawska 24, 31-155 Cracow, Poland
  4. State University of Applied Sciences in Nowy Sacz, Faculty of Engineering Sciences, Zamenhofa 1A, 33-300 Nowy Sacz, Poland
  5. Sadeckie Wodociagi sp. z o.o., W. Pola 22, 33-300 Nowy Sacz, Poland
  6. Silesian University of Technology, Faculty of Energy and Environmental Engineering, Konarskiego 18, 44-100 Gliwice, Poland
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Abstract

For economic growth of nation, the energy plays an important role. The excessive use of fossil fuels results the increase in global warming and depleting the resources. Due to this reason, the renewable energy sources are creating more attraction for researchers. In renewable energy sector, solar energy is the most abundant and clean source of energy. In solar thermal systems, solar air heater (SAH) is the main system which is used for heating of air. As it is simple in construction and cheaper in cost, it is of main interest for the researchers. The concept of first law and second law of thermodynamics is used for the study of the energy and exergy analysis respectively. The energy analysis is of great importance for the study of process effectiveness while the exergetic analysis is another significant concept to examine the actual behavior of process involving various energy losses and internal irreversibility. For efficient utilization of solar energy, the exergy analysis is very important tool for optimal design of solar air heaters. The aim of the present work is to review the works related to energy and exergy analysis of various types of solar air heaters and to find out the research gap for future work.

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Authors and Affiliations

Harish Kumar Ghritlahre
Piyush Kumar Sahu
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Abstract

Water scarcity is a phenomenon that is occurring more and more frequently in larger areas of Europe. As a result of drought, there are significant drops in yields. As demand for food continues to rise, it is becoming necessary to bring about a substantial increase in crop production. The best solution to water scarcity appears to be irrigation for crops that are particularly sensitive to drought. Today, many technical solutions are used to supply and distribute water to crops. The optimal solution is drip irrigation, which makes it possible to deliver water directly to the plant root system to save melting freshwater resources. In the article special attention was paid to methods of supplying electricity to power irrigation pumps. The analysis was made for areas with a significant distance between the agricultural land and the urbanised area (which has water and electricity). The authors have selected the parameters of an off-grid photovoltaic mini-hydropower plant with energy storage (with a power of 1.36 kW). An analysis was made of the profitability of such an investment and a comparison with other types of power supply. Based on the performed calculations, a prototype power supply system equipped with photovoltaic panels was made to show the real performance of the proposed system. The tests carried out showed that the irrigation pump will be powered most of the time with a voltage whose parameters will be very close to the nominal ones.
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Authors and Affiliations

Zbigniew Skibko
1
ORCID: ORCID
Wacław Romaniuk
2
ORCID: ORCID
Andrzej Borusiewicz
3
ORCID: ORCID
Stanisław Derehajło
3
ORCID: ORCID

  1. Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45 D, 15-351 Białystok, Poland
  2. Institute of Technology and Life Sciences – National Research Insitute, Falenty, Poland
  3. The Higher School of Agribusiness in Łomża, Poland
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Abstract

This paper presents a critical analysis of a current typical method to measure sensitivity of solar blind ultraviolet cameras using a high temperature blackbody as a calibrated source of ultraviolet light. It has been shown that measurement of sensitivity of solar-blind ultraviolet (SBUV) cameras defined as minimal detectable blackbody irradiance at optics plane of the tested SBUV camera generates inflated, misleading and prone to measurement errors' results that should not be used for evaluation of SBUV cameras' performance.

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Authors and Affiliations

Krzysztof Chrzanowski
ORCID: ORCID
W. Chrzanowski
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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

The paper presents a one-dimensional mathematical model for simulating the transient processes which occur in the liquid flat-plate solar collector tubes. The proposed method considers the model of collector tube as one with distributed parameters. In the suggested method one tube of the collector is taken into consideration. In this model the boundary conditions can be time-dependent. The proposed model is based on solving the equation describing the energy conservation on the fluid side. The temperature of the collector tube wall is determined from the equation of transient heat conduction. The derived differential equations are solved using the implicit finite difference method of iterative character. All thermo-physical properties of the operating fluid and the material of the tube wall can be computed in real time. The time-spatial heat transfer coefficient at the working fluid side can be also computed on-line. The proposed model is suitable for collectors working in a parallel or serpentine tube arrangement. As an illustration of accuracy and effectiveness of the suggested method the computational verification was carried out. It consists in comparing the results found using the presented method with results of available analytic solutions for transient operating conditions. Two numerical analyses were performed: for the tube with temperature step function of the fluid at the inlet and for the tube with heat flux step function on the outer surface. In both cases the conformity of results was very good. It should be noted, that in real conditions such rapid changes of the fluid temperature and the heat flux of solar radiation, as it was assumed in the presented computational verification, do not occur. The paper presents the first part of the study, which aim is to develop a mathematical model for simulating the transient processes which occur in liquid flat-plate solar collectors. The experimental verification of the method is a second part of the study and is not presented in this paper. In order to perform this verification, the mathematical model would be completed with additional energy conservation equations. The experimental verification will be carry out in the close future.

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Authors and Affiliations

Wiesław Zima
Piotr Dziewa

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