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Article

Modeling the Efficiency of Biogas Plants by Using an Interval Data Analysis Method

1
Department of Computer Science, West Ukrainian National University, 46000 Ternopil, Ukraine
2
Department of Information Technologies of Remote Sensing, Karpenko Physico-Mechanical Institute of the National Academy of Sciences, 79601 Lviv, Ukraine
3
Department of Informatics and Teleinformatics, Kazimierz Pulaski University of Technology and Humanities, 29, Malczewskiego Str., 26-600 Radom, Poland
*
Author to whom correspondence should be addressed.
Energies 2024, 17(14), 3537; https://doi.org/10.3390/en17143537
Submission received: 25 May 2024 / Revised: 12 July 2024 / Accepted: 14 July 2024 / Published: 18 July 2024
(This article belongs to the Section A4: Bio-Energy)

Abstract

This article considers the task of developing mathematical models and their computer implementation that would establish the dependence of pH (acidity of the environment) on the volume and structure of raw materials for daily loading, as well as on the operating parameters of temperature and humidity based on the interval analysis of experimental data obtained during BGP research of a given type. In the process of research, based on the developed interval models, it was established that this indicator depends on the volume and structure of raw materials, as well as on the temperature and humidity of the substrate in the bioreactor. To build this mathematical model, it is proposed to use the method of interval data analysis and the method of identification of model parameters based on multidimensional optimization. The results of experimental studies for a specific type of biogas plant are given, and interval models with guaranteed prognostic properties that characterize the pH of the environment depending on the specific type of bio-raw material of solid and liquid fractions, temperature, and humidity are obtained. Based on the use of different types of raw materials, the developed models, based on experimental data, describe different configurations of the structure and volumes of raw materials for daily loading. The obtained mathematical models are an algebraic nonlinear equation that can be applied to control the level of pH of the environment in the bioreactor by determining the optimal volumes of raw materials of each type during the loading period depending on the temperature and humidity of the substrate in the bioreactor.
Keywords: mathematical model; identification; biogas plant; pH of the environment; nonlinear optimization mathematical model; identification; biogas plant; pH of the environment; nonlinear optimization

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MDPI and ACS Style

Dyvak, M.; Manzhula, V.; Melnyk, A.; Rusyn, B.; Spivak, I. Modeling the Efficiency of Biogas Plants by Using an Interval Data Analysis Method. Energies 2024, 17, 3537. https://doi.org/10.3390/en17143537

AMA Style

Dyvak M, Manzhula V, Melnyk A, Rusyn B, Spivak I. Modeling the Efficiency of Biogas Plants by Using an Interval Data Analysis Method. Energies. 2024; 17(14):3537. https://doi.org/10.3390/en17143537

Chicago/Turabian Style

Dyvak, Mykola, Volodymyr Manzhula, Andriy Melnyk, Bohdan Rusyn, and Iryna Spivak. 2024. "Modeling the Efficiency of Biogas Plants by Using an Interval Data Analysis Method" Energies 17, no. 14: 3537. https://doi.org/10.3390/en17143537

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