Analysis of Distribution System Considering Load Uncertainties: a K-Means Clustering Approach

Ferraz, Bibiana Petry; Anzanello, Jose David; Lemos, Fernando de Aguiar; Haffner, Sérgio

doi:10.1109/isgt-la.2019.8895428

Cited by 5 publications

(3 citation statements)

References 14 publications

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“…In an effort to capture an interval-based combination of all loads and DERs, we propose an extension to the scenario approach proposed by [31], as described in what follows. Without loss of generality, the description of the proposed methodology will be made considering a time interval of one hour and a time horizon of one year.…”

Section: Chronological Operation Of Pdsmentioning

confidence: 99%

“…Usually, the balance between computational efficiency and accuracy defines the number of clusters [31]. For this reason, different numbers of clusters are tested and the best number is then chosen based on predefined criteria.…”

Section: Chronological Operation Of Pdsmentioning

confidence: 99%

“…Based on the elbow criteria, the case studies require at least 2 scenarios to accurately represent their chronological operation. In this way, considering the sensibility analysis of clustering thoroughly explained in [31], we adopted three scenarios for both systems. Fig.…”

Section: Chronological Operationmentioning

confidence: 99%

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MILP model for volt-var optimization considering chronological operation of distribution systems containing DERs

Ferraz

Resener

Pereira

et al. 2021

International Journal of Electrical Power & Energy Systems

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This paper presents a mixed-integer linear programming model for volt-var optimization considering the chronological operation of distribution systems containing distributed energy resources (DERs). The proposed model describes the operation problem of capacitor banks (CBs) and voltage regulators (VRs), and it is further based on the steady-state operation during each time interval contained in typical scenarios of distribution systems. A procedure using a K-means clustering algorithm is used to select the scenarios, thus preserving the simultaneity and chronological combination of different loads and DERs. According to the formulation that we developed, the regulation devices become sensitive to downstream load variations, since we use explicit current variables to control automatic CBs, and since we include means to compensate voltage drops along distribution lines in the control of VRs. The model is validated by comparing the results obtained during several tests of two typical cases with those obtained through nonlinear power flow. The typical case studies presented in the paper highlight the good agreement between the results obtained with the linearized model and with power flow method; further, the practical results confirm that the use of typical scenarios allows representing different levels of loads and DERs, while keeping the validity and performance of the proposed model.

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Section: Chronological Operation Of Pdsmentioning

confidence: 99%

Section: Chronological Operation Of Pdsmentioning

confidence: 99%