scholarly journals Stability analysis of the five-dimensional energy demand-supply system

Kybernetika ◽  
2021 ◽  
pp. 750-775
Author(s):  
Kun Yi Yang ◽  
Chun Xia An
2019 ◽  
Vol 114 ◽  
pp. 03004
Author(s):  
Elena Gubiy

We consider mathematical models for analyzing the energy supply reliability of isolated systems and propose a three-level complex of nested models. The lower level represents the model of functioning of the energy supply system during the period under review. The second level is a model of the energy supply reliability analysis. This analysis is based on multiple simulations of functioning of the energy supply system in randomly formed conditions. The energy sources demand and supply, as well as the amount of carryover reserves of energy in storage, are assumed to be random values. To simulate functioning, the values of energy demand and production are formed using the Monto-Carlo method following their laws of probability. The random value of the carryover reserves is formed using the algorithm that generates the Markov sequence of these reserves. The upper level is represented by the model for selecting the optimal composition of the means ensuring reliability, i.e. energy reserves in the energy production and storage capacity. It was revealed that the algorithm for generating the random value of the energy sources carryover reserves yields the homogenous Markov sequence. Sufficient conditions for uniqueness of the stationary state were determined. Based on the experimental calculations, we estimated the number of iterations required to reach the stationary ergodic state.


Energies ◽  
2018 ◽  
Vol 11 (7) ◽  
pp. 1714 ◽  
Author(s):  
Xinyu Zhang ◽  
Lei Wang ◽  
William Dunford ◽  
Jie Chen ◽  
Zhigang Liu

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Okeolu Samuel Omogoye ◽  
Ayoade Benson Ogundare ◽  
Ibrahim Olawale Akanji

The paper discusses the design, simulation, and optimization of a solar/diesel hybrid power supply system for a remote station. The design involves determination of the station total energy demand as well as obtaining the station solar radiation data. This information was used to size the components of the hybrid power supply system (HPSS) and to determine its configuration. Specifically, an appropriate software package, HOMER, was used to determine the number of solar panels, deep-cycle batteries, and rating of the inverter that comprise the solar section of the HPSS. A suitable diesel generator was also selected for the HPSS after careful technical and cost analysis of those available in the market. The designed system was simulated using the HOMER software package and the simulation results were used to carry out the optimization of the system. The final design adequately meets the station energy requirement. Based on a life expectancy of twenty-five years, a cost-benefit analysis of the HPSS was carried out. This analysis shows that the HPSS has a lower cost as compared to a conventional diesel generator power supply, thus recommending the HPSS as a more cost-effective solution for this application.


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