Mathematics (Jun 2024)

Topology Design and Operation of Distribution Network Based on Multi-Objective Framework and Heuristic Strategies

  • Qingxia Li,
  • Shengjun Huang,
  • Xueyang Zhang,
  • Wenhua Li,
  • Rui Wang,
  • Tao Zhang

DOI
https://doi.org/10.3390/math12131998
Journal volume & issue
Vol. 12, no. 13
p. 1998

Abstract

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This work elucidates a methodological approach employed in the process of planning the expansion of distribution network (DN) lines, wherein the amalgamation of system reconfiguration capabilities with operational equilibrium and reliability is paramount. The expansion proposals for the DN and the radial operation schemes post-expansion are encompassed. We formulate a bi-objective DN planning optimization model that concurrently addresses resource optimization configuration and operational optimization. Subsequently, the NSGA-II algorithm is employed to solve the optimization model, providing a coordinated presentation of multiple alternative solutions. However, this problem diverges from conventional bi-objective optimization problems due to its nature as a bi-objective optimization problem with embedded sub-optimization problem, consequently imposing a substantial computational burden. To address this issue, heuristic algorithms are designed to optimize system operational configuration, which is regarded as a sub-optimization problem. The proposed metric, model, and algorithms are validated on two case studies using the IEEE 33-bus and 70-bus test systems. Notably, the proposed method achieves solution efficiency by over 200 times compared to existing methods.

Keywords