Frontiers in Energy Research (May 2024)

A robust optimization method for new distribution systems based on adaptive data-driven polyhedral sets

  • Yuming Ye,
  • Jungang Wang,
  • Dingcai Pan,
  • Jingsong Zhang,
  • Fan Li,
  • Xueli Yin

DOI
https://doi.org/10.3389/fenrg.2024.1351907
Journal volume & issue
Vol. 12

Abstract

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In order to better describe the uncertainty of renewable energy output, this paper proposed a novel robust optimization method for new distribution systems based on adaptive data-driven polyhedral sets. First, an ellipsoidal uncertainty set was established using historical data on renewable energy output, and a data-driven convex hull polyhedral set was established by connecting high-dimensional ellipsoidal vertices; on this basis, an adaptive data-driven polyhedral set model was established to address the problem of high conservatism in the scaling process of convex hull polyhedral sets. Furthermore, a novel adaptive data-driven robust scheduling model for new distribution systems was established, and a column-and-constraint generation (C&CG) algorithm was used to solve the robust scheduling model. Finally, the improved IEEE-33 bus system simulation verification shows that the robust scheduling model for new distribution systems based on adaptive data-driven polyhedral sets can reduce conservatism and improve the robustness of optimization results.

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