RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN

The article provides a study of the reliability of the electric power transmission system with a photovoltaic power plant through a comprehensive analysis of the technical and economic characteristics of cable and overhead power lines. The choice of voltage class for the system under study, which ha...

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Datum:2026
Hauptverfasser: Kuchansky , V., Cherkashina , V., Omelyanenko , G., Makarov , A., Hunko , I., Sabarno , L.
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Veröffentlicht: Institute of Renewable Energy National Academy of Sciences of Ukraine 2026
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Vidnovluvana energetika
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author Kuchansky , V.
Cherkashina , V.
Omelyanenko , G.
Makarov , A.
Hunko , I.
Sabarno , L.
author_facet Kuchansky , V.
Cherkashina , V.
Omelyanenko , G.
Makarov , A.
Hunko , I.
Sabarno , L.
author_institution_txt_mv [ { "author": "V. Kuchansky ", "institution": " Institute of Electrodynamics of the NAS of Ukraine, Kyiv, Ukraine" }, { "author": "V. Cherkashina ", "institution": "National Technical University “Kharkiv Polytechnic Institute” MES of Ukraine, Kharkiv, Ukraine" }, { "author": "G. Omelyanenko ", "institution": "National Technical University “Kharkiv Polytechnic Institute” MES of Ukraine, Kharkiv, Ukraine" }, { "author": "A. Makarov ", "institution": "National Technical University “Kharkiv Polytechnic Institute” MES of Ukraine, Kharkiv, Ukraine" }, { "author": "I. Hunko ", "institution": "Institute of Renewable Energy NAS of Ukraine, Kyiv, Ukraine; Vinnytsia National Technical University MES of Ukraine, Vinnytsia, Ukraine" }, { "author": "L. Sabarno ", "institution": "Institute of Electrodynamics of the NAS of Ukraine, Kyiv, Ukraine" } ]
author_sort Kuchansky , V.
baseUrl_str https://ve.org.ua/index.php/journal/oai
collection OJS
datestamp_date 2026-07-18T06:32:23Z
description The article provides a study of the reliability of the electric power transmission system with a photovoltaic power plant through a comprehensive analysis of the technical and economic characteristics of cable and overhead power lines. The choice of voltage class for the system under study, which has a radial electrical grid topology with an installed photovoltaic plant at the receiving substation, is justified. In accordance with the selected voltage class, the conductive part of the overhead and cable lines is determined, and the cross-sections of the wires and cable cores are checked for acceptable current load conditions. Based on the verifi-cation results, the current-carrying part of the overhead transmission line was selected using an ACSR 240/32 mm² conductor, while the cable line was designed with an APvEgP-110 1×240/95 mm² cable. The parameters of the overhead and cable transmission lines were determined, and a comparative analysis of the technological process of electric power transmission in a radial grid was performed using the PowerFac-tory software package, in particular with respect to voltage deviations in both transmission system vari-ants. It was shown that, in terms of technical performance indicators, the overhead and cable lines are equivalent. Taking this into account, an economic analysis was carried out to substantiate the optimal line option by calculating the cost component of the integral effect of total discounted costs. The results of this analysis indicate that the cable line is 59.4% more expensive than the overhead line. To further justify the feasibility of selecting the line type, a SWOT analysis was conducted, which demonstrated that the project incorporating a cable line is more attractive than the project based on an overhead line. The proposed com-prehensive analysis of the techno-economic characteristics of overhead and cable lines enables a well-grounded decision to be made regarding the selection of the appropriate facility to enhance the reliability of an electric power transmission system with a photovoltaic power plant, provided that the technical parame-ters of the electrical grid are equivalent.
doi_str_mv 10.36296/1819-8058.2026.1(84).26-34
first_indexed 2026-03-31T01:00:06Z
format Article
fulltext 26 Відновлювана енергетика. № 1/2026 | Комплексні проблеми енергетичних систем на основі НВДЕ УДК 697.7:621.315 https://doi.org/10.36296/1819-8058.2026.1(84).26-34 RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN Received Jan. 12, 2026; accepted Mar. 23, 2026 Available online Mar. 31, 2026 Kuchansky V.1, Cherkashina V.2, Omelyanenko G.3, Makarov A4, Hunko I.5, Sabarno L.6 Author for correspondence: Hunko Iryna, e-mail: iryna_hunko@ukr.net Abstract. The article provides a study of the reliability of the electric power transmission system with a photovoltaic power plant through a comprehensive analysis of the tech- nical and economic characteristics of cable and overhead power lines. The choice of voltage class for the system under study, which has a radial electrical grid topology with an in- stalled photovoltaic plant at the receiving substation, is justi- fied. In accordance with the selected voltage class, the con- ductive part of the overhead and cable lines is determined, and the cross-sections of the wires and cable cores are checked for acceptable current load conditions. Based on the verifi-cation results, the current-carrying part of the over- head transmission line was selected using an ACSR 240/32 mm² conductor, while the cable line was designed with an APvEgP-110 1×240/95 mm² cable. The parameters of the overhead and cable transmission lines were determined, and a comparative analysis of the technological process of electric power transmission in a radial grid was per- formed using the PowerFac-tory software package, in particular with respect to voltage deviations in both trans- mission system vari-ants. It was shown that, in terms of technical performance indicators, the overhead and cable lines are equivalent. Taking this into account, an economic analysis was carried out to substantiate the optimal line option by calculating the cost component of the integral effect of total discounted costs. The results of this analysis indicate that the cable line is 59.4% more expensive than the overhead line. To further justify the feasibility of selecting the line type, a SWOT analysis was conducted, which demonstrated that the project incorporating a cable line is more attractive than the project based on an overhead line. The proposed com-prehensive analysis of the techno-economic characteristics of overhead and cable lines enables a well-grounded decision to be made regarding the selection of the appropriate facility to enhance the reliability of an electric power transmission sys- tem with a photovoltaic power plant, provided that the technical parame-ters of the electrical grid are equivalent. Key words: renewable energy source, electrical grid, cable line, reliability, overhead line, electric power trans- mission system, techno-economic characteristics, photovoltaic power plant. ДОСЛІДЖЕННЯ ПИТАНЬ НАДІЙНОСТІ СИСТЕМИ ПЕРЕДАЧІ ЕЛЕКТРИЧНОЇ ЕНЕРГІЇ З ФОТОЕЛЕКТРИЧНОЮ СТАНЦІЄЮ Отримано 12 січ. 2026 р.; рекомендовано до публікації 23 бер. 2026 р. Доступно онлайн 31 бер. 2026 р. Кучанський В. В.1, Черкашина В. В.2, Омеляненко Г. В.3, Макаров А. О.4, Гунько І. О.5, Сабарно Л. Р.6 Автор для кореспонденції: Гунько Ірина, e-mail: iryna_hunko@ukr.net Анотація. В статті представлено дослідження надійності системи передачі електричної енергії з фотоеле-ктричною 1 Dr. of Science (Eng.) https://orcid.org/0000-0002-8648-7942 2 Dr. of Science (Eng.) https://orcid.org/0000-0002-5639-9722 3 PhD https://orcid.org/0000-0002-3276-5476 4 PhD student https://orcid.org/0009-0003-6181-3822 5 Dr. of Science (Eng.) https://orcid.org/0000-0003-2868-4056 6 PhD https://orcid.org/0000-0002-2153-2183 1, 6 Institute of Electrodynamics of the NAS of Ukraine, Kyiv, Ukraine 2, 3, 4 National Technical University “Kharkiv Polytechnic Institute” MES of Ukraine, Kharkiv, Ukraine 5 Institute of Renewable Energy NAS of Ukraine, Kyiv, Ukraine; Vinnytsia National Technical University MES of Ukraine, Vinnytsia, Ukraine 1 д-р. техн. наук https://orcid.org/0000-0002-8648-7942 2 д-р. техн. наук https://orcid.org/0000-0002-5639-9722 3 канд. техн. наук https://orcid.org/0000-0002-3276-5476 4 аспірант https://orcid.org/0009-0003-6181-3822 5 д-р техн. наук https://orcid.org/0000-0003-2868-4056 6 канд. техн. наук https://orcid.org/0000-0002-2153-2183 1, 6 Інститут електродинаміки НАН України, Інститут відновлюваної енергетики НАН 27 Відновлювана енергетика. № 1/2026 | Комплексні проблеми енергетичних систем на основі НВДЕ станцією шляхом комплексного аналізу техніко-економіч- них характеристик кабельної та повітряної ліній електро- передавання. Обґрунтовано вибір класу напруги досліджу- ваної сис-теми, що має топологію радіальної електричної мережі з наявною фотоелектричною станцією на прийма- льній підстанції. Відповідно до обраного класу напруги ви- значено струмопровідну час-тину повітряної та кабельної ліній, виконано перевірку перерізів проводів і жил кабелю за умовами допустимого струмового навантаження. Визна- чено параметри повітряної і кабельної ліній еле-ктропере- давання та в програмному комплексі PowerFactory здійс- нено порівняльний аналіз техно-логічного процесу передачі електричної енергії в радіальній мережі, зокрема відхи- лення напруги в обох варіантах системи передачі. Пока- зано, що за технічними показниками повітряна й кабельна лінії є рівноцінними. З огляду на це проведено економічний аналіз для обґрунтування оптимально-го варіанта лінії шляхом розрахунку витратної складової інтегрального ефекту сумарних диско-нтованих витрат, за результатами якого встанов- лено, що кабельна лінія є на 59,4% дорожчою за повітряну. Для уточнення доцільності вибору типу лінії виконано SWOT-аналіз, за результа-тами якого проєкт із кабельною лінією виявився більш привабли- вим, ніж проєкт із повітряною лінією. Запропонований комплексний аналіз техніко-економічних харак- теристик повітряної та кабельної ліній дозволяє прийняти обґрунтоване рішення щодо вибору об’єкта для підвищення надійності системи передачі електричної енергії з фотоелектричною стан- цією за умови рівноцін-них технічних параметрів електричної мережі. Ключові слова: відновлюване джерело енергії, електрична мережа, кабельна лінія, надійність, по-віт- ряна лінія, система передачі електричної енергії, техніко-економічні характеристики, фотое-лектри- чна станція. List of Symbols and Abbreviations RES — renewable energy sources HV — high voltage MV — medium voltage LV — low voltage EPS — electric power system TL — transmission line OL — overhead line CL — cable line EG — electrical grid PVPP — photovoltaic power plant Introduction. The current development vector of Ukrainian electric power systems (EPS) is focused on increasing the share of renewable energy sources (RES), which leads to the deployment of generating units with a nominal capacity of less than 20 MW connected to the busbars of electrical network substations. This approach is driven both by the need to comply with the requirements of European Union directives and by the necessity to compensate for the defi- cit of available generation capacity that has arisen as a re- sult of targeted attacks on energy infrastructure facilities under martial law conditions [1]. According to [1], in the post-war period, the design and re- construction of electric power transmission systems should be carried out in the following main directions: • consideration of renewable energy sources (RES) at electrical network substations; • development of ring electrical networks combined with deep 110 kV connections; • preferential application of cable lines (CL) with cross- linked polyethylene (XLPE) insulation; • use of compact (geometrically optimized) equipment at step-down substations. Considering the above-mentioned development directions of electric power systems (EPS), it should be noted that the primary means of supplying consumers with electrical en- ergy are overhead lines (OL) and cable lines (CL). The tech- nologies used for the construction of OLs and CLs are based on the same fundamental physical laws (Ohm’s law and Kirchhoff’s laws), and both systems are technologically ma- ture. However, this does not imply that one of them is “bet- ter” or “more technologically advanced” than the other. The current level of development of equipment and tech- nologies enables the purposeful application of both types of lines. At the same time, the technical feasibility of a particular so- lution does not necessarily imply its expediency. The crite- ria for selecting an overhead or cable line should not be de- termined by subjective opinions of network operators, policymakers, or experts, but rather by fundamental 5 д-р. техн. наук https://orcid.org/0000-0003-2868-4056 6 канд. техн. наук https://orcid.org/0000-0002-2153-2183 1, 6 Інститут електродинаміки НАН України, Інститут відновлюваної енергетики НАН України, м. Київ, Україна 2, 3, 4 Національний технічний університет «Харківський політехнічний інститут» МОН України, м. Харків, Україна 5 Інститут відновлюваної енергетики НАН України, м. Київ, Україна; Вінницький національний технічний університет МОН України, м. Вінниця, Україна 28 Відновлювана енергетика. № 1/2026 | Комплексні проблеми енергетичних систем на основі НВДЕ physical laws that define the key constraints. These factors include [2, 3]: Voltage and current. The higher the voltage of a transmis- sion line, the greater the required safety clearance. If such a clearance cannot be ensured (as in the case of cable lines), appropriate insulation is required to guarantee the safety of the line and the surrounding environment even at minimal distances. Grid operating mode. This is another important factor af- fecting the feasibility of using overhead lines (OL) or cable lines (CL). In the arc-suppression (compensated neutral) op- erating mode, only a limited total length of cable can be in- stalled; compliance with these length constraints (so-called arc-suppression limits) is critically important for the safe operation of transmission lines. In other operating modes of electrical grids, this limitation does not apply; however, additional interactions arise that must be taken into ac- count when selecting the line type in an electric power transmission system, especially in the presence of RES at the substation. Therefore, the selection of a particular line type in an elec- tric power transmission system should be based on a com- prehensive analysis of the techno-economic characteristics of OL and cable lines CL to ensure a well-founded decision regarding the choice of the facility, provided that the tech- nical parameters of the electrical network are equivalent. This issue has been addressed in numerous studies by both Ukrainian and international researchers. In [4], the specific aspects of ensuring operational reliability of electric power systems with decentralized generation based on renewable energy sources are identified. It is shown that an increase in the share of RES in the generation mix requires consider- ation of their static and dynamic characteristics, which sig- nificantly affect the operating modes of electrical grids. Consequently, this necessitates a comprehensive analysis when selecting the design of the supplying transmission line for a substation integrating RES. Researchers [5, 6] compared the parameters of overhead lines (OL) and cable lines (CL) with cross-linked polyeth- ylene (XLPE) insulation. They showed that cable lines are better protected against external factors and have a com- pact design that reduces electromagnetic impact on the surrounding environment and do not require the allocation of large land areas. However, a comprehensive techno-eco- nomic analysis was not provided. Researchers [7–11] presented examples of pilot transmis- sion line projects of various voltage classes employing XLPE and gas-insulated (SF₆) technologies, as well as overhead air-insulated solutions. In particular, researchers in [7] ad- dressed the selection of cable lines for different operating conditions and reported successful implementations in for- eign electrical grids. This experience may be valuable for the post-war design and reconstruction of electric power transmission systems in Ukraine, provided that it is appro- priately adapted to domestic conditions. In [8], researchers analyzed the environmental impact of overhead lines (OL) and cable lines (CL). It was demon- strated that cable lines have significantly fewer external im- pact parameters and exert a much lower impact on the en- vironment; however, the study does not provide a comparison of the technical performance indicators of transmission lines. In [9], researchers addressed the issue of improving the efficiency of operating modes of overhead lines in electrical networks, but the possibility of applying cable lines was not considered. In [10], the advantages and disadvantages of using sulfur hexafluoride (SF₆) as an insulating medium in electric power systems are discussed. Gas-insulated transmission lines (GILs) are considered. It was demonstrated that such lines employ internal insulators, which limit the route bend- ing radius and the permissible short-circuit currents. In ad- dition, the high cost and maintenance complexity of GILs compared to overhead lines with similar transmission ca- pacity were highlighted. In [11], scientific developments of high-voltage compact air-insulated lines installed in underground collectors are presented. As opposed to transmission line projects of var- ious voltage classes reported in [7–10], these solutions have not yet been implemented in practice. Transmission lines with uninsulated conductors installed in collectors are extremely hazardous, as the installation of uninsulated cur- rent-carrying parts in confined spaces may lead to short cir- cuits, fires, electric shock, and, consequently, damage to the entire electric power transmission system. For safe installation in collectors and other confined spaces, only insulated current-carrying parts may be applied [5–8, 10], since any accidental contact of an uninsulated conduc- tor with collector walls, other structural elements, or per- sonnel may result in a fault condition. An additional risk is the lack of natural ventilation: in the event of a short circuit or fire, this leads to the rapid accumulation of toxic gases and makes safe evacuation impossible. Thus, a systematic assessment of the selection of a trans- mission line for an electric power transmission system with a photovoltaic power plant, based on a comparison of OL and CL under equivalent technical parameters of the elec- trical network, constitutes a relevant scientific and practical task. Purpose of the Article. The purpose of this article is to in- vestigate the reliability of an electric power transmission system with a photovoltaic power plant through a compre- hensive analysis of the techno-economic characteristics of overhead and cable transmission lines, in order to make a well-founded decision regarding the selection of the appro- priate facility under equivalent technical parameters of the electrical grid. Research Materials and Methods Input Data of the Electric Power Transmission System The electric power transmission system with a photovoltaic power plant is located in the Eastern region of Ukraine and has a radial electrical grid topology, which is shown in Fig. 1. 29 Відновлювана енергетика. № 1/2026 | Комплексні проблеми енергетичних систем на основі НВДЕ Fig. 1. Diagram of a radial electrical grid The power supply center of the electrical grid (Fig. 1) is sub- station SS1 with a voltage level of 330/110 kV. The length of the supplying TL is L=34 km. At SS2 (Fig. 1), a photovoltaic power plant is installed and connected to a common switchgear together with the load, which is supplied through a power transformer. The load of the power transformer at SS2 (Fig. 1) under the maximum load condition of the electrical grid is as follows: on the low-voltage (LV) side, SLV=20 MVA with a power fac- tor cosφLV=0.93; on the medium-voltage (MV) side, SMV=15.5 MVA with a power factor cosφMV=0.89. The short-circuit current is Isc=35 kA. The relay protection at SS2 clears the short-circuit current within t=0.3 s. Load Calculations of SS 2 Considering the current state of the electrical grid, it can be stated that the integration of renewable energy sources (RES) has the greatest impact on the operational perfor- mance of power transformers compared to its impact on transmission lines. However, for the development of sub- station reconstruction projects with integrated photovol- taic power plants, in accordance with [1], it is critically im- portant to take into account the operating mode of the supplying transmission line and the magnitude of power delivered to the power transformer from the electric power system. For this purpose, during the analysis of the technological process of electric power transmission supplied from the electric power system, it is necessary to separately consider the active (P) and reactive (Q) power components on all voltage sides of the power transformer under the maxi- mum load condition of the electrical grid. These quantities are calculated according to the following relations [12, 13]: 𝑃𝐿𝑉 = 𝑆𝐿𝑉 ∙ 𝑐𝑜𝑠 𝜑𝐿𝑉 𝑄𝐿𝑉 = 𝑆𝐿𝑉 ∙ 𝑠𝑖𝑛 𝜑𝐿𝑉; (1) 𝑃𝑀𝑉 = 𝑆𝑀𝑉 ∙ cos 𝜑𝑀𝑉 𝑄𝑀𝑉 = 𝑆𝑀𝐶 ∙ sin 𝜑𝑀𝑉; (2) 𝑆𝐻𝑉 = 𝑆𝐿𝑉 + 𝑆𝑀𝑉; 𝑃𝐻𝑉 = 𝑃𝐿𝑉 + 𝑃𝑀𝑉;𝑄𝐻𝑉 = 𝑄𝐿𝑉 + 𝑄𝑀𝑉 (3) where SLV, SMV, cosLV, cosMV are taken from the input data From calculations (1) – (3), the power was determined as follows: - on LV side of the power transformer – SLV = (17,8 + j9,12) MVA; - on MV side of the power transformer– SMV = (14,42 + j5,69) MVA; - on HV side of the power transformer– SHV = (32,22 + j14,81) MVA. Justification of the Rated Voltage of the Analyzed Electric Power Transmission System Since the electric power transmission system has a radial electrical grid topology (Fig. 1), an active power of PHV=32.22 MW flows through the transmission line. The justification of the nominal voltage of the electrical grid is performed using a formula that provides satisfactory re- sults over the entire range of nominal alternating-current voltage levels from 35 to 1150 kV [12, 13]: 𝑈𝑛𝑜𝑚 = 1000 √(500 𝐿 + 2500 𝑃𝐿)⁄⁄⁄ , (4) where L – length of the line, km; РL = РHV – power transmit- ted through the line, MW. The results of the calculations for the justification of the rated voltage of the electrical grid according to (4) yield U=104.17 kV. This indicates that electric power transmis- sion is carried out at a nominal voltage level of 110 kV. The determination of the nominal voltage class is necessary for selecting the current-carrying component of the transmis- sion line. Selection of the Current-Carrying for a 110 kV Transmis- sion Line The selection of the current-carrying component of the 110 kV transmission line “SS1–SS2” is carried out in accordance with the Electrical Installation Regulations (PUE) [14] and SOU-N MEV 40.1-37471933-49:2011 [15]. According to [14] and [15], the current-carrying compo- nents of the transmission line are recommended to be im- plemented as follows: − for the OL 110 kV: using an ACSR 2(240/32) mm² con- ductor; − for the CL 110 kV: using an APvEgP-110 1×240 mm² ca- ble laid in a trench. The short-circuit current through the cable screen (Iscr) for this cable type, assuming a short-circuit duration of t=1s, is determined by the following expression [15]: 𝐼𝑠𝑐𝑟 = 𝐼𝑠𝑐𝑟 ∙ √𝑡 . (5) According to the input data and Eq. (5), the screen short- circuit current is Iscr=19.2 kA. For this short-circuit current, a copper screen with a cross-sectional area of 95 mm² is required [15]. Thus, the current-carrying component of the 110 kV cable line should be implemented using an APvEgP- 110 1×240/95 cable. Verification of the Current-Carrying Component of the 110 kV Transmission Line 110 kV Overhead Line. According to [12], the verification of the current-carrying component of the 110 kV overhead line is performed based on the permissible continuous cur- rent-carrying capacity using the following expression: 30 Відновлювана енергетика. № 1/2026 | Комплексні проблеми енергетичних систем на основі НВДЕ 𝐼𝑐𝑎𝑙𝑐.𝑇𝐿 ≤ 𝐼𝑝𝑒𝑟𝑚, (6) where Icalc TL is the calculated current flowing through the overhead line under the maximum operating condition; Ip- erm is the permissible continuous current-carrying capacity of the conductors for the temperature range from +25∘C to 70∘C. The calculated current (Icalc TL) for verifying the conductors of the 110 kV TL is determined by the following expression [13, 14]: 𝐼𝑐𝑎𝑙𝑐.𝑇𝐿 = 𝑆𝐻𝑉(𝑚𝑎𝑥) (√3 ∙ 𝑈𝑛𝑜𝑚)⁄ , (7) where 𝑆𝐻𝑉(𝑚𝑠𝑥)is the load on the HV side of the power transformer located at SS 2 (Fig. 1). Based on the results of calculation (7), the calculated cur- rent 𝐼𝑐𝑎𝑙𝑐.𝑇𝐿=186.5 A. The permissible continuous current-carrying capacity (Iperm) for verifying the conductors of the 110 kV overhead line is determined by the following expression: 𝐼𝑝𝑒𝑟𝑚 = 𝐼𝑚𝑎𝑥 ∙ 𝑘𝜃, (8) where kθ is the temperature correction factor for ambient air temperature in the given region during the maximum load period, determined in accordance with [14], and for the Eastern region of Ukraine, it equals kq = 1,24. For the conductors of the 110 kV overhead line with a cross- sectional area of 240/32 mm², the maximum current-carry- ing capacity (Imax) is Imax=605 A [12, 13]. Accordingly, the permissible continuous current (Iperm) is determined as fol- lows: 𝐼𝑝𝑒𝑟𝑚 = 605 ∙ 1,24 = 750,2 𝐴. Thus, the ACSR 240/32 mm² conductor is capable of ensur- ing the technological process of electric power transmis- sion for the OL 110 kV n terms of permissible current-car- rying capacity under heating conditions. 110 kV Cable Line. According to [15, 16], the verification of the current-carrying component of the CL laid in a trench is performed based on the permissible continuous current- carrying capacity using the following expression: 𝐼𝑐𝑎𝑙𝑐 ≤ 𝐼𝑝𝑒𝑟𝑚 , (9) where Icalc is the calculated current corresponding to the av- erage half-hour maximum current, the highest value among the average half-hour currents of a given grid ele- ment; Iperm is the permissible continuous current for the corresponding cable conductor cross-section. The calculated current (Icalc CL) for verifying the 110 kV cable is determined by the following expression [15]: 𝐼𝑐𝑎𝑙𝑐 𝐶𝐿 = 𝑆𝐻𝑉(𝑚𝑎𝑥) (√3 ∙ 𝑈𝑛𝑜𝑚)⁄ , (10) where 𝑆𝐻𝑉(нб) is the load on the HV side of the power trans- former located at SS 2 (3). According to the results of calculation (10), the Icalc CL=186.5 A. The permissible continuous current (Iperm) for the con- ductor cross-section of the APvEgP-110 1×240/95 cable, taking into account the correction factors (kΣ), is deter- mined in accordance with the methodology described in [15] using the following expression: 𝐼𝑝𝑒𝑟𝑚 𝐶𝐿 = 𝐼𝑝𝑒𝑟𝑚 𝑡𝑎𝑏𝑙𝑒 ∙ 𝑘𝛴, (11) where Iperm.table - permissible continuous current for 110 kV cables with cross-linked polyethylene (XLPE) insulation and a nominal conductor cross-section of 240 mm² is 422 A [15]. It should also be taken into account that the permissible continuous current of the cable line Iperm CL must be adjusted to account for cable laying and operating conditions using correction factors [15, 16]. The values of the correction factors (kΣ) for the Eastern region of Ukraine were determined in accordance with [14, 15]. The permissible current for the given conditions of cable in- stallation in a trench was calculated using expression (11) and, taking into account the correction factors [14, 15], amounts to Iperm CL = 383,0 А. This confirms the adequacy of the 240 mm² conductor cross-section under the selected installation conditions. Thus, the XLPE-insulated cable of type APvEgP-110 1×240/95 is capable of ensuring the technological process of electric power transmission for the CL 110 kV in terms of permissible current-carrying capacity under heating condi- tions. Parameters of the 110 kV Transmission Line 110 kV Overhead Line. The calculation of the parameters of the 110 kV overhead line is performed using the expres- sions given in [13]: 𝑅𝑇𝐿 = 𝑟0 ∙ 𝐿; 𝑋𝑇𝐿 = 𝑥0 ∙ 𝐿; 𝐵𝑇𝐿 = 𝑏0 ∙ 𝐿; 𝑄𝑐ℎ = 𝑞0 ∙ 𝐿, (12) where r0, x0, b0, q0 − parameters per 1 km of line length with an ACSR 240 mm² conductor [13]. The results of the calculations using expressions (12) are as follows: RTL = 4,08 Ohm; ХTL = 13,77 Ohm; BOL = 95, 54 10-6 cm; Qch = 1,28 MVar. 110 kV Cable Line. The calculation of the parameters of the 110 kV cable line (Fig. 3) is performed using the expressions given in [13]: 𝑅𝐶𝐿 = 𝑟0 ∙ 𝐿; 𝑋𝐶𝐿 = 𝑥0 ∙ 𝐿; 𝐵𝐶𝐿 = 𝑏0 ∙ 𝐿; 𝑄𝑐ℎ = 𝑞0,∙ (13) where r0, x0, b0 are the specific parameters of the APvEgP- 110 1×240/95 cable [13]; q0 is the specific charging current, defined as 𝑞0 = 𝑏0 ∙ 𝑈ном 2 . The results of the calculations using expressions (13) are as follows: RTL = 5,37 Ohm; ХTL = 6,53 Ohm; BOL = 1611,6 10-6 cm; Qch = 19,5 MVar. In addition, for the 110 kV cable line, dielectric losses (ΔРd) are calculated using the following expression: ∆𝑃𝑑 = ∆𝑃𝑑.0 ∙ 𝐿𝑇𝐿, (14) 31 Відновлювана енергетика. № 1/2026 | Комплексні проблеми енергетичних систем на основі НВДЕ where ΔРd 0 - specific dielectric losses ∆𝑃𝑑.0 = 𝑔0 ∙ 𝑈2, (15) where g0 is the specific active conductance of the 110 kV cable line, S/km: 𝑔0 = 𝑏0 ∙ tan 𝛿, (16) where tan 𝛿 = 0,006 the dielectric loss tangent of the insu- lation at phase voltage [15]. The dielectric losses in the 110 kV cable line calculated us- ing expressions (14)–(16) are as follows: ∆𝑃𝑑 = 0,1168 МВт. The parameters of the overhead and cable lines are used in the analysis of the technological process of electric power transmission and voltage levels in the studied electrical grid. Analysis of the Technological Process of Electric Power Transmission Since the repair of a damaged cable line takes more time than that of an overhead line, the analysis of the technological process of electric power transmission for the cable line is performed for a single cable circuit. The investigated electric power transmission system is im- plemented with a radial electrical grid configuration (Fig. 1), which, for the analysis of the technological process under the maximum load condition of the electrical grid, is repre- sented in Fig 2. Fig. 2. Electrical grid diagram for the analysis of the tech- nological process The analysis of the technological process of electric power transmission under the maximum load condition of the electrical network, based on expressions (1)–(3) and the scheme shown in Fig. 2, was performed using the Power- Factory software package and is presented in Fig 3. Fig. 3. Graphical representation in PowerFactory of the electrical network maximum operating conditions for the over- head line (right) and the cable line (left) 32 Відновлювана енергетика. № 1/2026 | Комплексні проблеми енергетичних систем на основі НВДЕ According to Fig. 3, the power transmitted via the 110 kV overhead line to the power transformer located at SS 2 is as follows: – on the high-voltage (HV) side of the power transformer SHV = (32,22 + j18,7) MVA; – on the medium-voltage (MV) side of the power trans- former – SMV = (14,4 + j5,7) MVA; – on the low-voltage (LV) side of the power transformer SLV = (17,8 + j9,1) MVA. According to Fig. 3, the power transmitted via the 110 kV cable line to the power transformer located at SS 2 is as fol- lows: – on the high-voltage (HV) side of the power transformer SHV = (32,22 + j18,5) MVA; – on the medium-voltage (MV) side of the power trans- former SMV = (14,4 + j5,7) MVA; – on the low-voltage (LV) side of the power transformer SLV = (17,8 + j9,1) MVA. Based on the results of the maximum operating condition analysis of the electrical grid performed in PowerFactory (Fig. 3), it follows that the technological performance indi- cators of electric power transmission for the overhead and cable lines are equivalent. The difference between the an- alytical calculations (1)–(3) and the simulation results (Fig. 3) is less than 3%, which confirms the reliability of the ob- tained data. Analysis of Electric Power Quality Parameters One of the main reliability indicators of an electric power transmission system is the voltage deviation ((U), which is regulated in accordance with [17, 18]. Using the calculation results (Fig. 3), the voltage drop is determined as a function of the electric power transmission method using the follow- ing expression [13]: ∆𝑈𝑆𝑆1−𝑆𝑆2 𝑏 = (𝑃𝑆𝑆1−𝑆𝑆2 𝑏 ∙ 𝑅𝑆𝑆1−𝑆𝑆2 + 𝑄𝑆𝑆1−𝑆𝑆2 𝑏 ∙ 𝑋𝑆𝑆1−𝑆𝑆2) 𝑈𝑆𝑆1⁄ , (17) where 𝑃𝑆𝑆1−𝑆𝑆2 𝑏 + 𝑗𝑄𝑆𝑆1−𝑆𝑆2 𝑏 - the power transmitted through the TL (Fig. 3);𝑅𝑆𝑆1−𝑆𝑆2 + 𝑗𝑋𝑆𝑆1−𝑆𝑆2 – the parame- ters of the OL (12) and the CL (13) The percentage voltage deviation is calculated according to the following expression [13]: ∆𝑈∗ = ( ∆𝑈 𝑈𝑏 ) ∙ 100 = ( 𝑃𝑅+𝑄𝑋 𝑈𝑏 2 ) ∙ 100. (18) The results of the calculations using formulas (17)–(18) are presented in Table 1. As follows from Table 1, the voltage deviation under the maximum operating condition of the electric power trans- mission system for both transmission line options lies within ±5%, which confirms compliance with power quality requirements [17, 18] and the equivalence of the analyzed alternatives. Table 1. Voltage parameters of the electric power trans- mission system for overhead and cable lines Parameters OL CL USS1, kV 115,5 115,5 USS2, kV 112,1 113,7  USS1-SS2 b, kV 3,4 1,8 U, % 3,01 1,64 Economic Justification of the Electric Power Transmission System For problems that do not require the determination of over- all evaluation efficiency, it is possible to calculate the cost component of the integral effect of total discounted costs (C). This indicator is recommended to be used as the main criterion for tasks in which the construction of energy facili- ties extends over more than one year and the operating pa- rameters change throughout the calculation period [19, 20]. In the calculations, monetary symbols are treated as mon- etary units (m.u.). In static problems, the indicator (С) is determined by the expression given in [20]. С𝑐𝑜𝑛𝑠𝑡𝑇𝐿 = 𝐶𝑂𝐿 + 𝐶𝑂𝐿 Е⁄ ; 𝐶𝑐𝑜𝑛𝑠𝑡𝐶𝐿 = 𝐶𝐶𝐿 + 𝐶𝐶𝐿 Е⁄ , (19) where CconstTL, CconstCL the construction cost of the line, which is determined based on aggregated cost indicators of electrical grid elements; COL, CCL annual costs, which are de- termined without taking into account depreciation charges for renovation, m.u; E is the real (net) discount rate, which is adopted in accordance with the recommendations of the Ministry of Economic Development and Trade of Ukraine, as specified in the Letter on the preparation of state invest- ment projects, and is equal to 12% [21]. Based on the above, КOL is calculated using the following expression [20]: 𝐶𝑇𝐿 = к0 ∙ 𝐿𝑇𝐿, (20) where ко is the cost per 1 km of the 110 kV transmission line, determined in accordance with [15, 17]; LTL is the line length. The annual costs for operation and maintenance TL (ВOMTL) are calculated using the expressions given in [20]: 𝐶𝑂𝑀𝑂𝐿 = 𝛼𝑂𝑀𝑇𝐿 ∙ 𝐶𝑂𝐿; 𝐶𝑂𝑀𝐶𝐿 = 𝛼𝑂𝑀𝑇𝐿 ∙ К𝐶𝐿, (21) where 𝛼𝑂𝑀𝑇𝐿 = 0,012 for 110 kV lines – the annual opera- tion and maintenance and repair costs of transmission lines expressed as a percentage of the fixed asset value of the transmission line, m.u. The results of the calculations using formulas (19) – (21) are presented in Table 2. Table 2. Economic indicators of the electric power trans- mission system for power transmission via overhead and cable lines Indicators OL CL CTL, m.u. 1 394 000 2 346 000 COMTL, m.u. 16 728 28 152 C, m.u. 1 533 400 2 580 600 33 Відновлювана енергетика. № 1/2026 | Комплексні проблеми енергетичних систем на основі НВДЕ Since, in [19], the construction cost values of 110 kV elec- trical networks are given in U.S. dollars and were adopted in the calculations as monetary units (r.u.) (Table 2), con- version to the national currency is performed using the of- ficial exchange rate of the National Bank of Ukraine (NBU) at the time of the calculations. Using the coefficient кNBU=42.02 UAH per 1 m.u. as of July 2025, the cost compo- nent of the integral effect of total discounted costs (19), without taking inflation into account, is as follows: − for OL 64 433 468 UAH; − for CL 108 436 812 UAH. As follows from the calculations, the cost component of the integral effect of total discounted costs for the 110 kV cable line is 59.4% higher compared to the corresponding value for the 110 kV overhead line. The obtained results of the calculations of technical perfor- mance indicators and the cost component of the integral effect of total discounted costs for the overhead and cable lines necessitate conducting a SWOT analysis of the project in order to substantiate the selection of the most appropri- ate transmission line option. SWOT Analysis Using the SWOT analysis components of a project pre- sented in [22], a comparison of electric power transmission systems with overhead and cable lines was performed. Project 1. Electric Power Transmission System with a 110 kV Overhead Line Strengths 1. Maximum separation from populated areas; 2. Low project implementation cost. Weaknesses 1. A large number of crossings with road infrastructure; 2. Complexity of crossing railway lines; 3. The need to coordinate land acquisition and right-of- way along the line route with landowners. Opportunities 1. Accelerated project implementation. Threats 1. A low level of operational safety during line operation; 2. Issues related to adverse weather conditions; 3. Problems associated with force majeure events caused by third parties. Project 2. Electric Power Transmission System with a 110 kV Cable Line Strengths 1. Minimal impact on the environment; 2. Significant improvement in safety; 3. Ensured uninterrupted operation of critically important infrastructure even under adverse weather conditions; 4. Low maintenance costs during the operational period and, consequently, a long-term economic advantage. Weaknesses 1. A large volume of approvals required from various or- ganizations; 2. High capital cost (59.4% higher compared to the over- head line). Opportunities 1. Comprehensive resolution of technical, operational, environmental, land-use, and social issues. Threats 1. The risk of extending the project implementation time- line by 1–1.5 years. Conclusion of the SWOT Analysis As follows from the above, based on the conducted SWOT analysis, Project 2 is more attractive, whereas Project 1 is less attractive. Conclusions A study of the reliability of an electric power transmission system with a photovoltaic power plant was carried out through a comprehensive analysis of the techno-economic characteristics of overhead and cable transmission lines. This approach enables a well-founded decision to be made regarding the selection of the appropriate facility under conditions of equivalent technical parameters of the elec- trical grid. Based on the research results, it was established that: the overhead and cable lines have the same current-carrying conductor cross-section of 240 mm²; the overhead and ca- ble lines are characterized by equivalent technical perfor- mance indicators; the cable line is 59.4% more expensive than the overhead line; according to the conducted SWOT analysis, the project employing a cable line is more attrac- tive compared to the project based on an overhead line. 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institution Vidnovluvana energetika
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spelling veorgua-article-5942026-07-18T06:32:23Z RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN ДОСЛІДЖЕННЯ ПИТАНЬ НАДІЙНОСТІ СИСТЕМИ ПЕРЕДАЧІ ЕЛЕКТРИЧНОЇ ЕНЕРГІЇ З ФОТОЕЛЕКТРИЧНОЮ СТАНЦІЄЮ Kuchansky , V. Cherkashina , V. Omelyanenko , G. Makarov , A. Hunko , I. Sabarno , L. renewable energy source, electrical grid, cable line, reliability, overhead line, electric power transmission system, techno-economic characteristics, photovoltaic power plant. відновлюване джерело енергії, електрична мережа, кабельна лінія, надійність, по-вітряна лінія, система передачі електричної енергії, техніко-економічні характеристики, фотое-лектрична станція. The article provides a study of the reliability of the electric power transmission system with a photovoltaic power plant through a comprehensive analysis of the technical and economic characteristics of cable and overhead power lines. The choice of voltage class for the system under study, which has a radial electrical grid topology with an installed photovoltaic plant at the receiving substation, is justified. In accordance with the selected voltage class, the conductive part of the overhead and cable lines is determined, and the cross-sections of the wires and cable cores are checked for acceptable current load conditions. Based on the verifi-cation results, the current-carrying part of the overhead transmission line was selected using an ACSR 240/32 mm² conductor, while the cable line was designed with an APvEgP-110 1×240/95 mm² cable. The parameters of the overhead and cable transmission lines were determined, and a comparative analysis of the technological process of electric power transmission in a radial grid was performed using the PowerFac-tory software package, in particular with respect to voltage deviations in both transmission system vari-ants. It was shown that, in terms of technical performance indicators, the overhead and cable lines are equivalent. Taking this into account, an economic analysis was carried out to substantiate the optimal line option by calculating the cost component of the integral effect of total discounted costs. The results of this analysis indicate that the cable line is 59.4% more expensive than the overhead line. To further justify the feasibility of selecting the line type, a SWOT analysis was conducted, which demonstrated that the project incorporating a cable line is more attractive than the project based on an overhead line. The proposed com-prehensive analysis of the techno-economic characteristics of overhead and cable lines enables a well-grounded decision to be made regarding the selection of the appropriate facility to enhance the reliability of an electric power transmission system with a photovoltaic power plant, provided that the technical parame-ters of the electrical grid are equivalent. В статті представлено дослідження надійності системи передачі електричної енергії з фотоеле-ктричною станцією шляхом комплексного аналізу техніко-економічних характеристик кабельної та повітряної ліній електропередавання. Обґрунтовано вибір класу напруги досліджуваної сис-теми, що має топологію радіальної електричної мережі з наявною фотоелектричною станцією на приймальній підстанції. Відповідно до обраного класу напруги визначено струмопровідну час-тину повітряної та кабельної ліній, виконано перевірку перерізів проводів і жил кабелю за умовами допустимого струмового навантаження. Визначено параметри повітряної і кабельної ліній еле-ктропередавання та в програмному комплексі PowerFactory здійснено порівняльний аналіз техно-логічного процесу передачі електричної енергії в радіальній мережі, зокрема відхилення напруги в обох варіантах системи передачі. Показано, що за технічними показниками повітряна й кабельна лінії є рівноцінними. З огляду на це проведено економічний аналіз для обґрунтування оптимально-го варіанта лінії шляхом розрахунку витратної складової інтегрального ефекту сумарних диско-нтованих витрат, за результатами якого встановлено, що кабельна лінія є на 59,4% дорожчою за повітряну. Для уточнення доцільності вибору типу лінії виконано SWOT-аналіз, за результа-тами якого проєкт із кабельною лінією виявився більш привабливим, ніж проєкт із повітряною лінією. Запропонований комплексний аналіз техніко-економічних характеристик повітряної та кабельної ліній дозволяє прийняти обґрунтоване рішення щодо вибору об’єкта для підвищення надійності системи передачі електричної енергії з фотоелектричною станцією за умови рівноцін-них технічних параметрів електричної мережі. Institute of Renewable Energy National Academy of Sciences of Ukraine 2026-03-28 Article Article application/pdf https://ve.org.ua/index.php/journal/article/view/594 10.36296/1819-8058.2026.1(84).26-34 Vidnovluvana energetika ; No. 1(84) (2026): Scientific and applied Journal renewable energy ; 26-34 Возобновляемая энергетика; ##issue.no## 1(84) (2026): Scientific and applied Journal renewable energy ; 26-34 Відновлювана енергетика; № 1(84) (2026): Науково-прикладний журнал Відновлювана енергетика; 26-34 2664-8172 1819-8058 10.36296/1819-8058.2026.1(84) en https://ve.org.ua/index.php/journal/article/view/594/505 Copyright (c) 2026 V. Kuchansky , V. Cherkashina , G. Omelyanenko , A. Makarov , I. Hunko , L. Sabarno https://creativecommons.org/licenses/by-nc-nd/4.0
spellingShingle renewable energy source
electrical grid
cable line
reliability
overhead line
electric power transmission system
techno-economic characteristics
photovoltaic power plant.
Kuchansky , V.
Cherkashina , V.
Omelyanenko , G.
Makarov , A.
Hunko , I.
Sabarno , L.
RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN
title RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN
title_alt ДОСЛІДЖЕННЯ ПИТАНЬ НАДІЙНОСТІ СИСТЕМИ ПЕРЕДАЧІ ЕЛЕКТРИЧНОЇ ЕНЕРГІЇ З ФОТОЕЛЕКТРИЧНОЮ СТАНЦІЄЮ
title_full RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN
title_fullStr RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN
title_full_unstemmed RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN
title_short RESEARCH INTO RELIABILITY ISSUES OF AN ELECTRIC POWER TRANSMISSION SYSTEM WITH A PHOTOVOLTAIC POWER PLAN
title_sort research into reliability issues of an electric power transmission system with a photovoltaic power plan
topic renewable energy source
electrical grid
cable line
reliability
overhead line
electric power transmission system
techno-economic characteristics
photovoltaic power plant.
topic_facet renewable energy source
electrical grid
cable line
reliability
overhead line
electric power transmission system
techno-economic characteristics
photovoltaic power plant.
відновлюване джерело енергії
електрична мережа
кабельна лінія
надійність
по-вітряна лінія
система передачі електричної енергії
техніко-економічні характеристики
фотое-лектрична станція.
url https://ve.org.ua/index.php/journal/article/view/594
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