Keywords: hybrid power system, renewable energy sources, power balance, random process, energy storage.


The purpose of the paper is to develop a model for balancing the processes of electricity generation and consumption for power systems based on renewable energy and using a storage system. Generation modes for wind and especially solar power plants have significant current power gradients, when big changes are possible in a few minutes. When choosing storage systems, it is necessary to take into account such factors as uneven generation and consumption, the amount of possible excess energy or its deficit, the rate of change of power balance and the corresponding speed of batteries charging. The object of research is hybrid power systems with the properties of a local network. Such systems are sensitive to variable generation modes, and the presence of rapid power changes requires analysis of short time intervals. The research method is mathematical modeling of random processes of energy consumption and generation, which allows you to analyze the current balancing of capacities and obtain the integral characteristics of energy storage and reuse. Modeling the operating modes of solar and wind power plants is based on statistical data on weather factors. Then the power balance can be viewed as a superposition of random generation and consumption processes. A feature of the study is taking into account the time gradients of wind and solar power plants, charging speed and status of battery. Analytical research is complicated by the factor of the presence of different processes with special characteristics of the distribution, so a simulation model with an appropriate calculation algorithm is proposed. The proposed energy balance model allows simulating the processes of accumulation and use of energy with different properties of the accumulation system. The results of the study make it possible to compare various configurations of the power system in terms of balance, storage needs and the level of energy losses. This takes into account local and seasonal climatic features. Ref. 21, tab. 1, fig. 2.

Author Biographies

М. Kuznietsov, Institute of Renewable Energy of the National Academy of Sciences of Ukraine, 02094, 20А Hnata Khotkevycha St., Kyiv, Ukraine.

kuznietsov_mp1.jpgAuthor information: 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.
Publications: over 80.

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: 15.

V. Smertiuk, Institute of Renewable Energy of the National Academy of Sciences of Ukraine, 02094, 20А Hnata Khotkevycha St., Kyiv, Ukraine.

smertuk.pngAuthor information: graduate student, research engineer.
Education : National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Faculty of Electric Power Engineering and Automatics.
Research area: electric power engineering, renewable energy.
Publications: 5.


1. Obukhov S., Ibrahim A., Tolba M.A., El-Rifaie A.M. Power balance management of an autonomous hybrid energy system based on the dual-energy storage. Energies. 2019. V. 12. doi: 10.3390/en12244690.
2. Sawle, Y., Gupta, S.C., Bohre A.K. Review of hybrid renewable energy systems with comparative analysis of off-grid hybrid system. Renew. Sustain. Energy Rev. 2018. V. 81. Pp. 2217-2235.
3. IRENA Battery Storage for Renewables: Market Status and Technology Outlook. Int. Renew. Energy Agency Abu Dhabi 2015. V. 32.
4. Hu X., Martinez C.M., Yang Y. Charging, power management and battery degradation mitigation in plug-in hybrid electric vehicles: A unified cost-optimal approach. Mech. Syst. Signal Process. 2017. 87. Pp. 4-16.
5. Lahyani A., Sari A., Lahbib I., Venet P. Optimal hybridization and amortized cost study of battery/supercapacitors system under pulsed loads. J. Energy Storage 2016. V. 6. Pp. 222-231.
6. Jossen A., Garche J., Sauer D.U. Operation conditions of batteries in PV applications. Sol. Energy 2004. V. 76. Pp. 759-769.
7. Ataei A., Nedaei M., Rashidi R., Yoo C. Optimum design of an off-grid hybrid renewable energy system for an office building. J. Renew. Sustain. Energy. 2015. V. 7. 053123 p.
8. Bocklisch T. Hybrid energy storage systems for renewable energy applications. Energy Procedia. 2015. 103 р.
9. Faccio M., Gamberi M., Bortolini M., Nedaei M. State-of-art review of the optimization methods to design the configuration of hybrid renewable energy systems (HRESS). Frontiers in Energy. 2018. V. 12. No. 4. Pp. 591-622.
10. Olatomiwa L., Mekhilef S., Ismail M.S., Moghavvemi M. Energy management strategies in hybrid renewable energy systems: A review, Renewable and Sustainable Energy Reviews. 2016. V. 62. Pp. 821-835.
11. Zhang Y., Dong Z.Y., Luo F., Zheng Y., Meng K., Wong K.P. Optimal allocation of battery energy storage systems in distribution networks with high wind power penetration. IET Renewable Power Generation. 2016. V. 10. No. 8. Pp. 1105-1113.
12. Geem Z.W. Size optimization for a hybrid photovoltaic–wind energy system. International Journal of Electrical Power & Energy Systems. 2012. V. 42. No. 1. Pp. 448-451.
13. Ghaffari R., Venkatesh B. Energy reserve trade optimization for wind generators using black and scholes options in small-size power systems. Canadian Journal of Electrical and Computer Engineering. 2015. V. 38. No. 2. Pp. 66-76.
14. Kuznietsov M. Pobudova matematychnoi modeli rezhymu spozhyvannia elektroenerhii. [Construction of a mathematical model of electricity consumption mode]. Vidnovluvana energetika. 2017. No. 4(51). Pp. 33-42. URL: [in Ukrainian].
15. Miller B., Pankov A. Teoriya sluchaynyih protsessov v primerah i zadachah. [Theory of random processes in examples and problems]. M. Fizmatlit. 2002. 320 p. [in Russian].
16. Kuznietsov M., Vyshnevska Yu., Brazhnyk I., Melnyk O. Modeling of the Generation-Consumption Imbalance in the Heterogeneous Energy Systems with Renewable Energy Sources. 2019 IEEE 6th International Conference on Energy Smart Systems (ESS) conference-paper. Pр. 196-200. doi: 10.1109/ess.2019.8764189.
17. Olsson M., Perninge M., Soder L. Modeling real-time balancing power demands in wind power systems using stochastic differential equations. Electric Power Systems Research. 2010. No. 80. Pp. 966-974.
18. Akinyele D., Belikov J., Levron Y. Battery Storage Technologies for Electrical Applications: Impact in Stand-Alone Photovoltaic Systems. Energies. 2017. V. 10. 39 p.
19. Overview of the Energy Storage Possibilities to Support the Electrical Power System. Research Paper . István Táczi ERRA Budapest, Hungary. 2016. 47 p.
20. Kuznietsov M. Modelyuvannya spilnoyi roboty vitrovoyi ta sonyachnoyi elektrostancij. [Modeling of wind and solar power collaboration]. Vidnovluvana energetika. 2016. No. 1. Pp. 12-16. URL: [in Ukrainian].
21. Korpikiewicz J. The Optimal Choice of Electrochemical Energy Storage Parameters. Acta Energetica 1/26. 2016. Pр. 56-62.

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How to Cite
KuznietsovМ., Melnyk, O., & Smertiuk, V. (2020). SIMULATION OF ELECTRICITY ACCUMULATION PROCESS IN THE COMBINED POWER SYSTEM. Vidnovluvana Energetika , (4(63), 22-30.
Complex Problems of Power Systems Based on Renewable Energy Sources