Optimal allocation of ESSs in distribution networks considering uncertainties of battery capacity fading and operation strategies correlation

• Modeling the fitting error of battery capacity fading rate by uncertainty modeling methods; • Decoupling multiple operation strategies correlation of BESSs by Cholesky factorization method; • Proposed an optimal allocation model of BESSs considering uncertainties of battery capacity fading and operation strategies correlation. The reasonable allocation of battery energy storage systems (BESSs) is a long-term goal for energy storage researchers. This paper proposed an optimal allocation method for ESSs considering uncertainties of battery capacity fading and operation strategies correlation in distribution networks. Firstly, the capacity fading calculation error by semi empirical formula was modelled by distribution method and interval method according to experimental data analysis. And then, multiple operation strategies correlation of BESSs was decoupled by Cholesky factorization method for giving prominence to the flexible control strategy of BESSs. Finally, Cplex tool is used to solve the optimal allocation model of BESSs considering uncertainties of battery capacity fading with operation strategies correlation. Case studies showed that the method proposed in this paper improves the operating benefits by 18.84% and prolongs the cycle life of BESS by 8.28% compared with the single operation strategy. Also, the allocation capacity of BESSs is largely increased by about 10.1% considering the uncertainties of battery capacity fading model. Besides, the battery life decays faster under the uncertainties of battery capacity fading.