Keywords: renewable energy, local energy system, reliability, cost, random process, optimization.


The purpose of the paper is to solve a multicriteria optimization problem for a local energy systems (LES) with renewable sources (RES). The primary objective of traditional energy is to minimize the cost of electricity, but in case of renewable energy systems the reliability of energy is at the forefront, given by changing nature of the RES generation, such as wind and solar power. The subject of the study is the proportions of wind, solar generation and energy storage systems, which provide the set requirements for reliability with minimal cost of electricity. A feature of this study is the consideration of uncertainty in the modes of consumption and use of renewable energy sources. Research methods include the application of a statistical approach and the simulation of random processes for stochastic optimization. Historical (statistical) data on energy consumption and climatic factors that influence generation are used as input. Not only average values but also variance indicators (variance, distribution density, marginal deviations) are significant for reliability indicators. Uncertainty related to renewables can lead to uncertain operational costs. An additional source of uncertainty is the variable nature of electricity consumption. The risks of the project are the danger of losing some of the energy or not meeting the needs of the consumer. Having energy accumulators reduces the risks, but adds to the cost of the project. The result of the study is a way to optimize such a system. Risk can be defined as the variance of a random component, then the target functions will be the cost of energy and the standard deviation of the power imbalance. To find the optimal solution under two criteria, a mathematical model of the current state of the system with different RES and accumulation system was applied. The envelope of the multiple states is the line of possible optimal values. The limitations of the task are the requirements for reliability, such as the confidence probability of an generation and consumption imbalance. Ref. 11, tab. 2, fig. 3.

Author Biographies

M. Kuznietsov, Institute of Renewable Energy, NAS of Ukraine

Deputy Director of the Institute of Renewable Energy at the NASU, Doctor of technical sciences.

Education: Shevchenko Kyiv State University, Mechanics, and Mathematics.

Main research interests: mathematics, renewable energy.

O. Lysenko, Tavria State Agrotechnological University, 72310, 18 B.Khmelnitskoho Avenue, Melitopol

lysenko.jpgAuthor information: Associate Professor, Department of Energy and Automation Tavria State Agrotechnological University, Associate Professor, Candidate of Technical Sciences.
Education: Tavria State Agrotechnical Academy, Energy.
Research area: power supply, renewable energy.
Publications: over 40, including 4 patents.

O. Melnyk, National Technical University of Ukraine “Igor Sikorsky Kiev Polytechnic Institute", 03056, 37 Peremohy Av., Kyiv

melnyk1.jpgAuthor information: graduate student, research engineer.
Education: National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Faculty of Electric Power Engineering and Automatics.
Main research interests: electric power engineering, renewable energy.
Publications: 6.


1. Okinda V.O. , Odero N.A. A Review of Techniques In Optimal Sizing of Hybrid Renewable Energy Systems. IJRET. International Journal of Research in Engineering and Technology. 2015. Vol. 04, Is.11. Pр. 153-163. [in English].
2. Tran T.D., Smith A.D. Stochastic Optimization for Integration of Renewable Energy Technologies in District Energy Systems for Cost-Effective Use. Energies 2019. Vol. 12(3). 533 p. doi: 10.3390/en12030533. [in English].
3. Kuznietsov N., Smertiuk V., Lysenko O., Nesterchuk D., Adamova S. Optimizing the Ratio of Wind and Solar Power Stations. Problemele energeticii regionale. [Optimizatsiya sootnosheniya moshchnostey vetrovykh i solnechnykh elektrostantsiy] Kishinev. 2018. No. 3(38). Pp.127-140. doi: 10.5281/zenodo.2222378. [in Russian].
4. Lezhniuk P.D., Komar V.O., Sobchuk D.S. Method for Determination of Optimal Installed Capacity of Renewable Sources of Energy by the Criterion of Minimum Losses of Active Power in Distribution System. Energy and Power Engineering. (Scientific Research Publishing Inc.). 2014. № 6. Рp. 37-46. [in English].
5. Velkin V. Metodologiia rascheta kompleksnykh sistem VIE dlia ispolzovaniia na avtonomnykh obieektakh: monografiia. [Methodology for calculating integrated renewable energy systems for use on autonomous facilities: monograph]. Yekaterinburg. UrFU. 2015. 226 p. [in Russian].
6. Lezhniuk P., Komar V., Kravchuk S., Sobchuk D. Mathematical modeling of operation quality of electric grid with renewable sources of electric energy. MEES. IEEE International conference on modern electrical and energy systems. 2017. Pp. 324-327. [in English].
7. Tobin J. The Teory of Portfolio Selection. The Teory of Interest Rate. London. Macmillan. 1965. Pp. 3-51. [in English].
8. Markowitz H.M. Portfolio selection. Journal of Finance.1952. № 7(1). Рp. 77-91. [in English].
9. Tashcheiev Yu., Kovalov A. Formuvannia ekonomichnoho mekhanizmu vykorystannia vidnovliuvanykh dzherel enerhii na pidpryiemstvakh. Naukovyi Visnyk Odeskoho Natsionalnoho Ekonomichnoho Universytetu. [Formation of an economic mechanism for the use of renewable energy sources at enterprises. Scientific Bulletin of the Odessa National Economic University]. 2018. No. 9(261). Pp. 62-83. [in Ukrainian].
10. 10. Kuznietsov M., Vyshnevska Y., Brazhnyk I., Melnyk O. Modeling of the Generation-Consumption Imbalance in the Heterogeneous Energy Systems with Renewable Energy Sources. IEEE 6th International Confe-rence on Energy Smart Systems (ESS). conferencepaper. 2019. Pp.196-200. doi: 10.1109/ess.2019.8764189. [in English].
11. Lysenko O. Otsinka vypadkovykh vlastyvostei rivniv spozhyvannia elektroenerhii. [Estimation of random properties of electricity consumptionlevels]. Vidnovluvana Energetika, 2018. No. 1(52). Pp. 26-35. URL: http://ve.org.ua/index.php/journal/article/view/8 [in Ukrainian].

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How to Cite
Kuznietsov, M., Lysenko, O., & Melnyk, O. (2019). OPTIMIZATION TASKS OF THE COMBINED ENERGY SYSTEMS BY ECONOMIC INDICATORS. Vidnovliuvana Energetyka, (4(59), 6-14. https://doi.org/10.36296/1819-8058.2019.4(59).6-14
Complex Problems of Power Systems Based on Renewable Energy Sources