Modeling the Electricity Generation Processes of a Combined Solar and Small Hydropower Plant

Mykola Dyvak, Volodymyr Manzhula, Andriy Melnyk (), Nataliia Petryshyn, Tiande Pan, Arkadiusz Banasik (), Piotr Pikiewicz and Wojciech M. Kempa
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Mykola Dyvak: Department of Computer Science, West Ukrainian National University, 46009 Ternopil, Ukraine
Volodymyr Manzhula: Department of Computer Science, West Ukrainian National University, 46009 Ternopil, Ukraine
Andriy Melnyk: Department of Computer Science, West Ukrainian National University, 46009 Ternopil, Ukraine
Nataliia Petryshyn: Department of Computer Science, West Ukrainian National University, 46009 Ternopil, Ukraine
Tiande Pan: Department of Computer Science, West Ukrainian National University, 46009 Ternopil, Ukraine
Arkadiusz Banasik: Department of Clinical Engineering, Academy of Silesia, 40-555 Katowice, Poland
Piotr Pikiewicz: Department of Mathematical Methods in Technics and Informatics, Silesian University of Technology, 44-100 Gliwice, Poland
Wojciech M. Kempa: Department of Mathematical Methods in Technics and Informatics, Silesian University of Technology, 44-100 Gliwice, Poland

Energies, 2025, vol. 18, issue 9, 1-25

Abstract: This article proposes the concept of an integrated system consisting of two components: a small hydropower plant (SHPP) and a solar power plant (SPP), where the SHPP operates as a pumped-storage hydropower plant, and the SPP supplies energy for lifting water to the upper reservoir. A methodology is proposed for evaluating the joint operation of a solar power plant and a small hydropower plant. The methodology is based on modeling the electricity generation processes of combined solar and small hydropower plants. Additionally, a novel hybrid method is proposed for identifying interval models of small hydropower plants (SHPPs) and solar power plants (SPPs). This method integrates a metaheuristic algorithm for model structure synthesis, inspired by the behavioral model of a bee colony, with gradient-based methods for parameter identification. Using the proposed method, interval models have been developed for both small hydropower plants and the electricity generation of solar power plants. This study confirms the feasibility of using interval models to describe the relationship between electricity generation in a small hydropower plant and factors such as head difference, reactive power, and water level in the reservoir (i.e., available water resources). Furthermore, a mathematical model in the form of a difference equation is used to describe the daily electricity generation of a solar power plant. This model accounts for the characteristics of compressors that pump water from the lower to the upper reservoir. Based on the developed models, an assessment is conducted on the efficiency of the pumped-storage SHPP in ensuring operational stability during peak loads in the power grid and addressing seasonal variations.

Keywords: electricity generation; solar power plant; hydropower plant; interval model; analysis of interval data; model parameter identification (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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