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Two-stage Stochastic Programming for Coordinated Operation of Distributed Energy Resources in Unbalanced Active Distribution Networks with Diverse Correlated Uncertainties

Ruoxuan Leng, Zhengmao Li, Yan Xu

2023Journal of Modern Power Systems and Clean Energy25 citationsDOIOpen Access PDF

Abstract

This paper proposes a stochastic programming (SP) method for coordinated operation of distributed energy resources (DERs) in the unbalanced active distribution network (ADN) with diverse correlated uncertainties. First, the three-phase branch flow is modeled to characterize the unbalanced nature of the ADN, schedule DER for three phases, and derive a realistic DER allocation. Then, both active and reactive power resources are co-optimized for voltage regulation and power loss reduction. Second, the battery degradation is considered to model the aging cost for each charging or discharging event, leading to a more realistic cost estimation. Further, copula-based uncertainty modeling is applied to capture the correlations between renewable generation and power loads, and the two-stage SP method is then used to get final solutions. Finally, numerical case studies are conducted on an IEEE 34- bus three-phase ADN, verifying that the proposed method can effectively reduce the system cost and co-optimize the active and reactive power.

Topics & Concepts

AC powerDistributed generationMathematical optimizationScheduleStochastic programmingReliability engineeringRenewable energyComputer scienceThree-phaseVoltageEngineeringElectrical engineeringMathematicsOperating systemSmart Grid Energy ManagementOptimal Power Flow DistributionElectric Power System Optimization