2023
DOI: 10.35833/mpce.2022.000510
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Two-stage Stochastic Programming for Coordinated Operation of Distributed Energy Resources in Unbalanced Active Distribution Networks with Diverse Correlated Uncertainties

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 threephase 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 degr… Show more

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Cited by 19 publications
(5 citation statements)
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“…In addition, the uncertainty of PV outputs, which mainly influence network security, is essential in the feasibility assessment of PV integration. Based on the data set of PV outputs, it is feasible to generate empirical probability distributions or assume certain parametric distributions to deploy stochastic programming [18], but these distributions may differ from the true distribution when data samples are limited, potentially leading to an underestimation of the violation level and posing security risks to the safe operation of the system [19]. Therefore, we adopt the distributionally robust method to model the uncertainty.…”
Section: Index Of Variables Inmentioning
confidence: 99%
“…In addition, the uncertainty of PV outputs, which mainly influence network security, is essential in the feasibility assessment of PV integration. Based on the data set of PV outputs, it is feasible to generate empirical probability distributions or assume certain parametric distributions to deploy stochastic programming [18], but these distributions may differ from the true distribution when data samples are limited, potentially leading to an underestimation of the violation level and posing security risks to the safe operation of the system [19]. Therefore, we adopt the distributionally robust method to model the uncertainty.…”
Section: Index Of Variables Inmentioning
confidence: 99%
“…To this effect, the authors use a GA entrusted with improving operating conditions and minimizing energy losses in unbalanced three-phase distribution systems. The proposed optimization algorithm is responsible for determining the [122]. The main objective of this strategy is to minimize energy losses and improve voltage profiles in three-phase EDS within the framework of single-objective optimization.…”
Section: B Strategies That Address the Simultaneous Integration And M...mentioning
confidence: 99%
“…A copula function is a function that derives a probability distribution function of multiple correlated variables [21], and copula-based sampling methods have been studied extensively. In [22], power sources with uncertainties were modeled using Gaussian and Gumbel copula functions, and based on the analysis of active and reactive power within the system, a voltage-var scheme was optimized. Furthermore, the authors of [23] generated scenarios by considering the correlation of wind power generation over 24 h through a copula function.…”
Section: Literature Surveymentioning
confidence: 99%