湖南电力 ›› 2026, Vol. 46 ›› Issue (5): 58-65.doi: 10.3969/j.issn.1008-0198.2026.05.008

• 电网运行与控制 • 上一篇    下一篇

基于改进BES与SOCP的有源配电网有功-无功双层协调优化

赵荻帆, 陈秀春   

  1. 国网冀北电力有限公司廊坊供电公司,河北 廊坊 065000
  • 收稿日期:2026-06-08 修回日期:2026-08-01 发布日期:2026-11-06
  • 通信作者: 赵荻帆(1984),男,本科,工程师,主要研究方向为配电网优化运行。
  • 作者简介:陈秀春(1984),女,本科,工程师,主要研究方向为配电网优化运行。

Active-Reactive Power Bi-Level Coordinated Optimization of Active Distribution Networks Based on Improved BES and SOCP

ZHAO Difan, CHEN Xiuchun   

  1. State Grid Langfang Power Supply Company, Langfang 065000, China
  • Received:2026-06-08 Revised:2026-08-01 Published:2026-11-06

摘要: 针对多源配电网中离散设备与连续变量协同调度的非线性优化难题,提出一种基于改进秃鹰搜索(bald eagle search,BES)算法与二阶锥规划(second-order cone programming,SOCP)的有源配电网有功-无功双层协调优化策略。首先,综合考虑购电、运维、网损及弃风成本,构建多目标有功-无功协同优化模型。其次,通过引入Halton序列与折射反向学习改进种群初始化,并在俯冲阶段嵌入黄金正弦算子与动态螺旋搜索机制,以提升BES算法的全局探索能力与局部收敛精度。最后,针对离散和连续变量耦合的求解难点,建立双层优化架构,利用上层改进的BES,针对离散设备状态进行启发式搜索,并嵌套下层SOCP实现连续变量的凸松弛精确求解。仿真结果验证了本文所提策略的有效性和优越性。

关键词: 配电网, 有功-无功协同, 双层优化, 改进秃鹰搜索算法, 二阶锥规划

Abstract: For the nonlinear optimization problem of coordinated scheduling of discrete devices and continuous variables in multi-source distribution networks, this paper develops a double-layer coordinated optimization scheme of active and reactive power for distribution networks, which combines the improved bald eagle search(BES) algorithm with second-order cone programming (SOCP). First, a multi-objective active and reactive power coordinated optimization model is established by comprehensively considering the costs of electricity purchasing, operation and maintenance, grid loss, and wind curtailment. Second, by introducing the Halton sequence and refractive opposition-based learning to improve the population initialization, and embedding the golden sine operator and dynamic spiral search mechanism in the dive stage, the global exploration ability and local convergence accuracy of the BES algorithm are enhanced. Finally, to address the difficulty in solving the coupling of discrete and continuous variables, a double-layer optimization architecture is established. The upper-layer improved BES conducts heuristic search for the discrete device states, and the lower-layer SOCP is nested to achieve the exact solution for the convex relaxation of continuous variables. Simulation results comprehensively verify the effectiveness and superiority of the proposed strategy.

Key words: distribution network, active-reactive power coordination, two-layer optimization, improved bald eagle search(BES), second-order cone programming(SOCP)

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