Quantitative evaluation of uncertainty mitigation by ESS via complex affine distribution power flow

This paper quantitatively evaluates the uncertainty mitigation by energy storage system (ESS) via complex affine arithmetic-based distribution power flow. First, the affine models of distributed generations (DGs) and ESS under uncertain situations are explicitly established. Then, a forward-backward sweep power flow based on complex affine arithmetic is proposed in distribution systems with DGs and ESS. Third, an index of uncertainty mitigation by ESS to quantify the impacts on the power flow results is defined. Finally, the IEEE 13-bus system case is used to test the proposed evaluation method. The uncertainty mitigation index of ESS is calculated. Test results demonstrate that the presented index can quantitatively reflect the uncertainty mitigation impacts of ESS on separate bus voltage of distribution systems.