Mathematical model for determining optimal operating conditions of the remote energy supply complex for spatially distributed groups of aerial objects
- Authors: Chepiga A.A.1
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Affiliations:
- Penza State University
- Issue: No 3 (2025)
- Pages: 100-111
- Section: COMPUTER SCIENCE, COMPUTER ENGINEERING AND CONTROL
- URL: https://journals.rcsi.science/2072-3059/article/view/355057
- DOI: https://doi.org/10.21685/2072-3059-2025-3-7
- ID: 355057
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Abstract
Background. The object of the research is a remote energy supply complex (RESC) for spatially distributed groups of aerial objects. The subject of the research is the operational parameters of RESC and their impact on the efficiency of energy supply. The purpose of this study is to develop a mathematical model for determining optimal operational parameters of RESC and to provide a comparative assessment of the effectiveness of the proposed model in relation to existing approaches to energy supply management for spatially distributed groups of aerial objects. Materials and methods. The research was conducted using the gradient descent method to synthesize a nonlinear approximating function describing the dependence of the number of charged aerial objects on key system parameters. The adequacy of the model was verified using Pearson’s criterion. Results. A mathematical model has been developed that takes into account key system parameters: the distance of the RESC from the serviced objects, the width of the energy supply zone, and the angular magnitude of the energy supply space in the horizontal plane. The results of numerical modeling demonstrate an increase in energy supply efficiency by an average of 16 % (with peak values up to 35%) when using the developed model. Optimal parameters for the spatial placement of complexes have been established, with preferred positioning in the corner zones of the controlled territory. The average approximation error was 3.162 %. Conclusions. The developed mathematical model allows determining the optimal operating conditions of the RESC and significantly improving the efficiency of energy supply to aerial objects compared to traditional operator control. The proposed approach provides the ability to predict the effectiveness of energy supply, optimize the parameters of the location and settings of the RESC, and plan its application in various operating conditions.
About the authors
Andrey A. Chepiga
Penza State University
Author for correspondence.
Email: andreychepiga@yandex.ru
Postgraduate student
(40 Krasnaya street, Penza, Russia)References
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