Optimal performance of hybrid energy system in the presence of electrical and heat storage systems under uncertainties using stochastic p-robust optimization technique

A hybrid energy system (HES) is a recommended solution to simultaneously electricity and heat loads supply with minimum power purchasing from the external grid. Due to the existence of different energy resources loads in the HES, uncertainty is an undeniable challenge in the optimal operation of these systems. Besides, the financial risk imposed by the uncertainties is a big concern for the HES operators. Therefore, in this paper, by a combination of the stochastic optimization (SO) and robust optimization (RO) approaches, a new regret analysis method called the stochastic p-robust optimization (SPRO) technique is proposed to take advantage of SO and RO methods simultaneously. The proposed approach results are regret-based, which is a risk measure. Based on the obtained results, the system expected cost in the SO is $ 39.70, which is increased to $ 39.92 by applying the robust-based approach to SO. Besides, applying the proposed approach to SO reduces the maximum relative regret from 1.32% to 0.74%. According to the reported numerical results, it can be concluded that the HES operation cost is increased by 0.56%, while the maximum relative regret of the system operator is reduced by 44%.

Automated summary

This paper proposes a new regret analysis method called stochastic p-robust optimization (SPRO) technique, which combines the advantages of stochastic optimization (SO) and robust optimization (RO) approaches for optimal operation of hybrid energy systems. The numerical results show that the proposed approach can effectively reduce the maximum relative regret of the system operator while increasing the HES operation cost.