L. DJORDJEVI] et al.: SOLAR TECHNOLOGY: EMPOWERING SERBIA’S RENEWABLE ENERGY FUTURE 33–39 SOLAR TECHNOLOGY: EMPOWERING SERBIA’S RENEWABLE ENERGY FUTURE TEHNOLOGIJA IZKORI[^ANJA ENERGIJE SONCA: USPOSABLJANJE SRBIJE ZA OBNOVLJIVO ENERGIJSKO PRIHODNOST Luka Djordjevi}, Slavica Prvulovi} * , Mi}a Djurdjev, Borivoj Novakovi}, Mihalj Bakator University of Novi Sad, Technical Faculty "Mihajlo Pupin", 23101 Zrenjanin, Serbia Prejem rokopisa – received: 2023-07-14; sprejem za objavo – accepted for publication: 2023-12-07 doi:10.17222/mit.2023.944 This study investigated the solar power potential and performance in Serbia, a country with favorable solar conditions but lim- ited resource utilization. The principal objectives of the investigation were to analyze the performance ratio (PR) and assess the electricity production of simulated solar power plants in different distribution areas. The Photovoltaic System software (PVsyst 7.3) was employed to simulate five grid-connected solar power plants, each with a capacity of 10 MW, in five distribution areas of the Serbian Public Electric Utility Company. The study found that the PR values varied from 81.7 % to 84 %, indicating fa- vorable conditions for harnessing the solar potential. The simulations projected an annual electricity delivery to the grid of 64.41 GWh. According to the study’s estimates, installed solar power plants would be capable of meeting 0.22 % of the electric- ity needs in Serbia. Keywords: solar energy, Serbia, performance ratio V ~lanku avtorji opisujejo {tudijo o raziskovanju potencialov in mo`nem izkori{~anju son~ne energije v Srbiji. Srbija je de`ela z velikim potencialom glede izkori{~anja energije sonca vendar z omejenimi finan~nimi in drugimi sredstvi za njeno izkori{~anje. Glavna objekta njihove raziskave sta bila analiza oziroma dolo~itev performan~nega razmerja (PR, angl.: Perfor- mance Ratio) oziroma razmerja u~inkovitosti in ocena proizvodnje elektrike na simulirani son~ni (fotovoltai~ni) elektrarni na petih razli~nih geografskih delih ozemlja oziroma podro~jih (okro`jih) distribucije elektri~ne energije. Avtorji ~lanka so uporabili ra~unalni{ko programsko orodje Photovoltaic System software (PVsyst 7.3) za simulacijo petih v mre`o povezanih son~nih elektrarn s kapaciteto 10 MW na petih distribucijskih okro`jih srbskega elektrogospodarstva (Elektroprivreda Srbije). S pomo~jo {tudije so ugotovili, da PR faktor varira med 81,7 % in 84 %, kar ka`e na to, da so izbrana geografska (distribucijska) okro`ja v Srbiji potencialno zelo ugodna za izkori{~anje son~ne energije. Simulacije so pokazale, da je mo`na letna dobava elektri~ne energije v dr`avno elektro omre`je enaka 64,41 GWh. V skladu s temi ocenami bi bile in{talirane son~ne elektrarne sposobne pokriti 0,22 % vseh potreb po elektri~ni energiji Srbije. Klju~ne besede: energija sonca, Srbija, razmerje u~inkovitosti 1 INTRODUCTION Faced with increasing challenges regarding energy sustainability and environmental protection, it is becom- ing increasingly clear that using renewable energy sources is vital for preserving our planet. 1–3 Conventional energy sources, such as fossil fuels, have significant neg- ative environmental consequences, including the emis- sion of harmful gases, degradation of water resources and destruction of biodiversity. 4–6 In this context, solar energy has become a key player in transitioning to a sus- tainable energy system. Harnessing solar potential offers numerous advantages, including reducing greenhouse gas (GHG) emissions, air and water pollution and inde- pendence from limited reserves of fossil fuels. 7–9 According to the International Renewable Energy Agency (IRENA), the installed capacity of solar power plants worldwide exceeded 1.05 terawatts (TW) in 2022, marking a significant leap compared to previous years. 10 According to the data from the European Solar Industry Association (SolarPower Europe), the solar power capac- ity installed in the EU surpassed 200 GW in 2022. Fur- thermore, the organization forecasts that by 2030, the cu- mulative solar PV capacity in the EU will reach 920 GW. 11 In the Republic of Serbia, the situation regarding re- newable energy sources is still challenging. 12,13 Most of the country’s energy mix still relies on conventional sources such as coal and oil. 14,15 However, the awareness of the need for a transition to renewable energy sources, including solar energy, is steadily growing in Serbia. 16,17 The country has more sunlight hours compared to many European nations, ranging from 1500 to 2200 hours per year. 18 On an annual basis, the average radiation energy ranges from 1200 kWh/m 2 /year in the northwest to 1550 kWh/m 2 /year in the southeast. These favorable con- ditions make solar energy a promising avenue for further Materiali in tehnologije / Materials and technology 58 (2024) 1, 33–39 33 UDK 502.21:523.9:005.336.1 ISSN 1580-2949 Original scientific article/Izvirni znanstveni ~lanek MTAEC9, 58(1)33(2024) *Corresponding author's e-mail: prvulovicslavica@yahoo.com (Slavica Prvulovi}) development in Serbia. 19,20 Figure 1 show Serbia’s PV power potential from 1994–2018. 21 According to reference 22 , the Public Enterprise Elec- tric Power Industry of Serbia had a total electricity gen- eration capacity of 7391 MW in 2022. Out of the overall generation capacity, thermal power plants and combined heat and power plants accounted for 4376 MW or 59.20 %, while hydro power plants accounted for 3015 MW or 40.80 %. In terms of energy production, thermal power plants and combined heat and power plants contributed 22,166 GWh or 71.21 %, while hydro power plants contributed 8964 GWh or 27.89 %. The power delivered to customers through GreenEPS con- tracts in 2022 amounted to 1644.52 GWh, i.e., only 4.58 % of the total electricity consumption in Serbia. So- lar power plants had a production capacity of 13 MW, generating 14,630 MWh of electricity. These numbers indicate that although the Republic of Serbia possesses significant solar potential, it has not effectively utilized this resource, leading to underutilization. 2 MATERIALS AND METHODS The present study used the Photovoltaic System soft- ware (PVsyst 7.3) to simulate solar power plants. PVsyst 7.3 is an extensive software tool designed for the design, simulation and performance analysis of photovoltaic (PV) systems. 23–26 PVsyst provides detailed insights into a system performance, including energy generation and overall efficiency. The meteo data for the simulations were obtained from Metronome version 8.1. These data play a vital role in accurately assessing the potential of solar power plants and simulating their performance. Simulations of five grid-connected solar power plants, each with a capacity of 10 MW, were conducted L. DJORDJEVI] et al.: SOLAR TECHNOLOGY: EMPOWERING SERBIA’S RENEWABLE ENERGY FUTURE 34 Materiali in tehnologije / Materials and technology 58 (2024) 1, 33–39 Figure 1: Serbia’s PV power potential [kWh/kWp], © 2020 The World Bank, source: Global Solar Atlas 2.0, solar resource data: Solargis, (accessed on 01 July 2023) Figure 2: Locations of simulated power plants and distribution areas Table 1: Locations and characteristics of the simulated solar power plants DA Novi Sad DA Belgrade DA Kraljevo DA Kragujevac DA Ni{ Zrenjanin Beograd Tutin Kragujevac Vranje Latitude 45.36 N 44.86 N 42.98 N 43.98 N 42.50 N Longitude 20.44 E 20.23 E 20.33 E 20.86 E 21.92 E Altitude [m] 79 84 907 234 446 Tilt – optimized 36 36 36 36 38 Azimuth – optimized –2 –1 –1 –1 –1 No. of modules 25,002 Pnom total 10 MWp Module area [m 2 ] 51,819 in five distribution areas (DA) of the Serbian Public Electric Utility Company (EPS). The EPS is divided into five distribution areas established according to the terri- torial principle: DA Novi Sad (DA 1), DA Belgrade (DA 2), DA Kraljevo (DA 3), DA Kragujevac (DA 4) and DA Ni{ (DA 5). The data on the locations and characteristics of the simulated solar power plants are shown in Ta- ble 1. The locations for these simulations were carefully se- lected based on the solar radiation map, focusing on ar- eas with the highest irradiation levels. This approach en- sures that the analysis is grounded in real-world conditions and the solar energy potential at these loca- tions. The locations of the simulated power plants and distribution areas are shown in Figure 2. The simulations used a monocrystalline/N-type (Cello technology) PV module. To achieve the desired power output of a single solar power plant, a total of 25,002 units of this PV module were used. The power plant design incorporated a total of 22 inverters. Detailed technical descriptions of the PV modules and inverters can be found in Table 2. Table 2: Technical descriptions of the PV modules and inverters PV module Model LG 400 N2W-A5 Cell type Monocrystalline / N-type Dimensions (L × W × H) 2024 × 1024 × 40 mm Maximum power (Pmax)* 400 MPP voltage (Vmpp)* 40.6 MPP current (Impp)* 9.86 Open circuit voltage (Voc)* 49.3 Short circuit current (Isc)* 10.47 Module efficiency* 19.3 *STC (standard test condition): irradiance of 1000 W/m 2 , ambient tempera- ture of 25 °C, AM 1.5 Inverter Model SUN2000-100KTL-M1- 400Vac Nom. power 100 kWac Operating voltage 200–1000 V Pnom ratio 1.3 The PR is a significant parameter within the PVsyst software, providing crucial insights into the modeled system. It is a metric used to assess the efficiency and overall performance of a PV system or solar power plant. The PR allows an overall assessment of a PV array’s per- formance. The PR is obtained with Equation (1). 27,28 PR Y Y =⋅ A R 100 (%) (1) The array yield (Y A ) allows evaluating and compar- ing the performance of PV modules by measuring their energy output relative to their rated power. It represents the time, measured in hours per day, during which a PV array needs to operate at its nominal power to generate the total energy produced. Y A is calculated with Equation (2). 29 Y E P A PV nom = (h) (2) The reference yield (Y R ) is defined as the ratio of the insolation (H) to the irradiance under standard test condi- tions, specifically for an irradiance level of 1000 W/m 2 . It provides a standardized measure of the energy produc- tion potential under ideal conditions. Y R calculation is given in Equation (3). 30 Y H G R STC = (h) (3) L. DJORDJEVI] et al.: SOLAR TECHNOLOGY: EMPOWERING SERBIA’S RENEWABLE ENERGY FUTURE Materiali in tehnologije / Materials and technology 58 (2024) 1, 33–39 35 Table 3: Values of the PR, GHI, GI and ambient temperature average Zrenjanin Belgrade Tutin Kragujevac Vranje GHI [kWh/m 2 ] 1276.2 1285.5 1386.0 1318.6 1448.7 GI [kWh/m 2 ] 1463.6 1466.3 1577.5 1509.8 1680.7 Ambient temperature average [°C] 12.51 12.85 7.89 11.78 11.71 Month Performance ratio January 0.873 0.888 0.903 0.898 0.911 February 0.869 0.884 0.896 0.884 0.884 March 0.845 0.854 0.863 0.854 0.851 April 0.822 0.835 0.847 0.837 0.843 May 0.805 0.816 0.835 0.815 0.826 June 0.792 0.804 0.819 0.808 0.816 July 0.784 0.797 0.811 0.797 0.802 August 0.790 0.796 0.814 0.803 0.804 September 0.808 0.820 0.831 0.824 0.816 October 0.835 0.841 0.856 0.844 0.857 November 0.848 0.862 0.875 0.878 0.876 December 0.877 0.886 0.902 0.894 0.897 Average 0.817 0.828 0.845 0.833 0.840 3 RESULTS The simulations provided valuable insights into the plants’ performance, represented by the calculated PR values. These PR values are graphically depicted in Fig- ure 3. Additionally, Table 3 presents the numerical val- ues of the PR, global horizontal irradiation (GHI), global irradiation in the collector plane (GI), and ambient tem- perature average. Table 4 presents comparative data on the electricity consumption per month in distribution areas, along with L. DJORDJEVI] et al.: SOLAR TECHNOLOGY: EMPOWERING SERBIA’S RENEWABLE ENERGY FUTURE 36 Materiali in tehnologije / Materials and technology 58 (2024) 1, 33–39 Figure 3: Obtained PR values Table 4: Data on DA electricity consumption 31 and the value of electricity supplied to the grid from the solar power plants [GWh] Month DA 1 consumtion Zrenjanin DA 2 consumtion Belgrade DA 3 consumtion Tutin DA 4 consumtion Kragujevac DA 5 consumtion Vranje I 800.5 0.535 905.8 0.51 722.2 0.75 212.2 0.62 496.8 0.79 II 690.3 0.67 741.4 0.73 619.2 0.9 180.5 0.83 422.9 0.99 III 761.5 1.07 805.5 1.1 675.8 1.23 197.7 1.13 464.1 1.27 IV 643.1 1.2 629.1 1.2 556.1 1.21 165 1.18 371.6 1.25 V 576.4 1.33 527.5 1.33 496.7 1.37 143.3 1.3 325 1.41 VI 593.8 1.36 539.9 1.37 489.3 1.44 139.6 1.38 316.9 1.46 VII 625.3 1.46 558.5 1.47 529.8 1.47 149.9 1.42 336.7 1.48 VIII 606.9 1.38 541.9 1.4 515.5 1.48 148.7 1.4 332.9 1.48 IX 567.8 1.07 509.3 1.11 499.7 1.23 139.1 1.15 322.9 1.27 X 620.1 0.95 567.8 0.91 553.2 1.12 155.6 0.98 361.8 1.14 XI 685.9 0.57 682.1 0.59 599.8 0.78 170.3 0.67 385.9 0.83 XII 759.1 0.33 815.1 0.37 670.9 0.59 196 0.48 439.2 0.71 7930.9 11.96 7821.1 12.14 6928.3 13.62 1998.2 12.58 4577 14.11 Figure 4: Graphical representation of the electricity demand satisfaction in DAs the data, obtained through simulations of the solar power plants, on the amount of electricity delivered to the grid. Table 5 presents data on the percentage of electricity demand fulfillment in the distribution areas using the electricity generated from the solar power plants, dis- played on a monthly basis. Additionally, Figure 4 shows a graphical representation of the obtained values depict- ing the percentage of electricity demand satisfaction. Table 5: Percentage of electricity demand satisfaction in DAs Month DA 1 DA 2 DA 3 DA 4 DA 5 I 0.07 % 0.06 % 0.10 % 0.29 % 0.16 % II 0.10 % 0.10 % 0.15 % 0.46 % 0.23 % III 0.14 % 0.14 % 0.18 % 0.57 % 0.27 % IV 0.19 % 0.19 % 0.22 % 0.72 % 0.34 % V 0.23 % 0.25 % 0.28 % 0.91 % 0.43 % VI 0.23 % 0.25 % 0.29 % 0.99 % 0.46 % VII 0.23 % 0.26 % 0.28 % 0.95 % 0.44 % VIII 0.23 % 0.26 % 0.29 % 0.94 % 0.44 % IX 0.19 % 0.22 % 0.25 % 0.83 % 0.39 % X 0.15 % 0.16 % 0.20 % 0.63 % 0.32 % XI 0.08 % 0.09 % 0.13 % 0.39 % 0.22 % XII 0.04 % 0.05 % 0.09 % 0.24 % 0.16 % Average 0.15 % 0.16 % 0.20 % 0.63 % 0.31 % 4 DISCUSSION As presented in Figure 3 and Table 3, the PR values obtained from the simulations demonstrate favorable conditions for installing solar power plants. The lowest PR value was observed for DA 1 in July, amounting to 78.4 %, while the highest value was recorded for DA 5 in January, reaching 91.1 %. The PR values across all simu- lations were higher during the winter than the summer period, indicating the dependence of solar panel effi- ciency on the temperature, where an increased tempera- ture leads to a decreased efficiency. 32,33 The highest aver- age PR value was observed for DA 3, amounting to 84.5 %, while the lowest value of 81.7 % was recorded for DA 1. According to the solar radiation map, the GHI values align with the expected values. The lowest GHI value of 1276.2 kWh/m 2 was observed in the northernmost DA 1, while the highest value of 1448.7 kWh/m 2 was recorded in the southernmost DA 5. The GHI values are inversely proportional to the PR, meaning that during the summer months, the GHI is higher, while during the winter pe- riod, it is lower (up to 7 times lower). The average ambi- ent temperature also significantly influences the effi- ciency of solar power plants, as lower temperatures result in higher PR values. The selected locations and the obtained results high- light the significance of the temperature impact on the efficiency of solar panels. Furthermore, this study under- scores the interconnectedness between the location and altitude in determining the performance of solar power plants. Higher altitudes, as exemplified by the geo- graphic context of Serbia within a continental climate, are characterized by low average temperatures that are conducive to enhanced solar panel efficiency. The results of this research substantiate this correlation as the loca- tion with the highest altitude (DA 3) exhibits the highest performance ratio (PR). In contrast, the site with the lowest altitude (DA 1) records the lowest PR. This observation reinforces the idea that elevated locations with reduced average temperatures offer a favorable environment for solar energy production. These findings have practical implications for an optimal placement and operation of solar power facilities in regions with varying altitudes and climate conditions. From Table 4, it can be observed that the lowest quantity of electricity delivered to the grid was recorded in December in DA 1, amounting to 0.33 GWh. Addi- tionally, DA 1 achieved the lowest electricity production among all the simulated solar power plants, with an an- nual quantity of electricity delivered to the grid of 11.96 GWh. The highest value was observed in DA 3 in August, with a quantity of 1.48 GWh. Similar values were achieved in DA 5 in July and August, albeit slightly lower. The highest quantity of electricity delivered to the grid was achieved in DA 5, with a quantity of 14.11 GWh. The percentage of electricity demand fulfillment shown in Table 5 and Figure 4 greatly depends on a DA’s population density. Similar fulfillments of electric- ity demand are visible in DA 1, DA 2 and DA 3. This is mainly due to similar numbers of consumers and similar electricity consumptions in these areas. A slightly higher fulfillment of electricity demand is observed in DA 5, while DA 4 exhibits values that are, on average, three times higher. A common characteristic of all the distribu- tion areas is the fact that during the summer period, the fulfillment of electricity demand is significantly higher. This is primarily due to a lower electricity consumption during the summer months and an increased electricity production during that period. 5 CONCLUSIONS Several key conclusions can be drawn based on the analysis of the provided data. The PVsyst software simu- lations revealed favorable conditions for installing solar power plants in Serbia. The performance ratio values in- dicated an efficient operation. The global horizontal irra- diation values were consistent with the expectations. Lower ambient temperatures positively impacted the PR values, indicating an improved performance in cooler conditions. The electricity production analysis indicated varia- tions among different distribution areas. DA 1 exhibited the lowest electricity amount delivered to the grid, while DA 3 had the highest value. The percentage of electricity demand fulfillment varied based on the population den- sity of each distribution area. DA 1, DA 2 and DA 3 ex- L. DJORDJEVI] et al.: SOLAR TECHNOLOGY: EMPOWERING SERBIA’S RENEWABLE ENERGY FUTURE Materiali in tehnologije / Materials and technology 58 (2024) 1, 33–39 37 hibited similar levels of fulfillment due to comparable consumer numbers and electricity consumptions, while DA 4 displayed the highest average values. Installed so- lar power plants would meet 0.22 % of the electricity needs in the Republic of Serbia. This study provides researchers with crucial insights and is a valuable resource for future solar power plant in- vestments in Serbia. The projected installation of a solar power capacity of 300 MW by the end of 2025 34 empha- sizes the importance of such research. Investors can uti- lize the findings to make informed decisions regarding the site selection, efficiency optimization, and meeting future electricity demands. The study’s comprehensive analysis contributes to the knowledge base of renewable energy sources and supports the transition towards a more sustainable energy landscape in Serbia. 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