Abstract:
In the paper, a new mathematical approach for assessing the efficiency of hybrid energy system, using alternative energy sources (solar panels, wind turbines) based on queueing theory is proposed, which allows to consider into account the stochastic nature of natural processes. As a mathematical model of a hybrid energy system using an alternative (non-permanent) energy as one of the source of electricity, we propose a queueing system with two units of servers, one of which is non-permanent and limited. A three-dimensional Markov random process is studied. Using the initial moments method, formulas for stationary characteristics are derived. A numerical analysis of the system characteristics dependency on input parameters is performed. An example of assessment of the efficiency of using solar energy for personal needs based on statistical data is presented.
Keywords:mathematical modeling, hybrid energy systems, queueing theory.
UDC:519.872 BBK:
31.6
Received: January 27, 2025 Published: May 31, 2025
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