基于双层交替方向乘子法构架的规模化光伏电站系统电压分布式非凸优化方法

杨欣; 李海啸; 包诗媛; 杨超; 侯自强; 曾宪铭

doi:10.19912/j.0254-0096.tynxb.2025-0650

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基于双层交替方向乘子法构架的规模化光伏电站系统电压分布式非凸优化方法

更新时间：2026-10-15

- 基于双层交替方向乘子法构架的规模化光伏电站系统电压分布式非凸优化方法
- Vol. 47, Issue 9, Pages: 179-191(2026)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.19912/j.0254-0096.tynxb.2025-0650
  CLC： TM615
- Online First：10 October 2026，
  
  Published：2026
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杨欣, 李海啸, 包诗媛, et al. 基于双层交替方向乘子法构架的规模化光伏电站系统电压分布式非凸优化方法[J]. 2026, 47(9): 179-191.
DOI：

杨欣, 李海啸, 包诗媛, et al. 基于双层交替方向乘子法构架的规模化光伏电站系统电压分布式非凸优化方法[J]. 2026, 47(9): 179-191. DOI： 10.19912/j.0254-0096.tynxb.2025-0650.

摘要

为解决规模化光伏电站内部引发的电压越限问题

提出一种基于增强型双层交替方向乘子法的系统电压分布式非凸优化方法。首先

该方法建立包含非线性Distflow潮流约束的规模化光伏电站系统电压非凸优化模型;其次

在传统交替方向乘子法的基础上

提出内、外层嵌套循环的增强型双层交替方向乘子法

用于分布式求解电压非凸优化模型。增强型双层交替方向乘子法克服了传统交替方向乘子法求解非凸优化问题时存在的收敛性差和精度不足问题

能够为规模化光伏电站提供更优的系统电压调控结果。基于典型规模化光伏电站系统算例的验证表明：在求解系统非凸优化问题时

增强型双层交替方向乘子法的最优性显著优于传统交替方向乘子法

平均误差降低幅度达0.17%以上;其在高精度残差阈值条件下的收敛性也具有明显优势

所得电压优化结果可有效保障光伏电站系统电压安全。

Abstract

To address voltage limit violations caused internally in large-scale photovoltaic （PV） power stations

this paper proposes a distributed non-convex optimization method for system voltage based on an enhanced two-level alternating direction method of multipliers （E-TL-ADMM）. First

the method establishes a non-convex voltage optimization model for large-scale PV systems

incorporating nonlinear Distflow power flow constraints. Second

by introducing a nested inner and outer loop structure

the E-TL-ADMM overcomes the limitations of traditional ADMM

such as poor convergence and insufficient accuracy

to achieve superior voltage control results. Validation based on a typical large-scale PV power station case demonstrates that： when solving the system non-convex optimization problem

the E-TL-ADMM significantly outperforms the traditional ADMM in optimality with average error reduction exceeding 0.17%; it also exhibits clear convergence advantages under high-accuracy residual threshold conditions

with optimized voltage results effectively ensuring PV station system voltage safety.

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