基于解耦内点法与混合整数规划法的区域电网动态无功优化算法

doi:10.11930/j.issn.1004-9649.202106051

中国电力 ›› 2023, Vol. 56 ›› Issue (1): 112-118.DOI: 10.11930/j.issn.1004-9649.202106051

基于解耦内点法与混合整数规划法的区域电网动态无功优化算法

张杰¹, 郑云耀², 刘生春³, 马勇飞¹, 颜伟², 王恒凤²

1. 国网青海省电力公司电力科学研究院，青海西宁 810000;
2. 输配电装备及系统安全与新技术国家重点实验室（重庆大学），重庆 400044;
3. 青海德泓电力科技有限公司，青海西宁 810000

收稿日期:2021-06-25 修回日期:2022-11-25 出版日期:2023-01-28 发布日期:2023-01-14
作者简介:张杰(1982-),女,硕士,高级工程师,从事电力系统分析研究,E-mail:71226923@qq.com;郑云耀(1993-),男,硕士,助理工程师,从事电力系统优化运行研究,E-mail:785004813@qq.com;刘生春(1983-),男,硕士,高级工程师,从事电力设备局部放电研究,Email:254055793@qq.com;王恒凤(1999-),男,通信作者,硕士研究生,从事电力系统优化运行研究,E-mail:939304279@qq.com
基金资助:
国家自然科学基金资助项目（51677012）。

A Dynamic Reactive Power Optimization Algorithm for Regional Power Grid Based on Decoupling Interior Point Method and Mixed Integer Programming Method

ZHANG Jie¹, ZHENG Yunyao², LIU Shengchun³, MA Yongfei¹, YAN Wei², WANG Hengfeng²

1. Electric Power Research Institute, Qinghai Power Grid Co., Ltd, Xining 810000, China;
2. State Key Laboratory of Power Transmission Equipment & System Security and New Technology (Chongqing University), Chongqing 400044, China;
3. Qinghai Dehong Electric Power Technology Co. Ltd., Xining 810000, China

Received:2021-06-25 Revised:2022-11-25 Online:2023-01-28 Published:2023-01-14
Supported by:
This work is supported by National Natural Science Foundation of China (No.51677012).

摘要/Abstract

摘要： 动态无功优化在提高电网电压质量、降低网损和减少离散调压设备日动作次数方面具有重要作用，在数学上它是一个含绝对值约束的多时段大规模非线性混合整数规划问题，其高效求解是一个难题。为此，提出了一种基于解耦内点法和混合整数规划的动态无功优化两阶段算法。第1阶段，利用sigmoid函数处理绝对值约束以实现原模型的连续化，采用解耦内点法思想构建KKT修正方程的对角带边结构，实现了模型的时段分块解耦高效求解；第2阶段，将原模型在当前连续解附近线性化，构建涉及原模型所有约束条件的混合整数线性规划模型，由此决策出离散无功控制设备的优化解。通过某地区26节点的算例仿真，验证了本文算法的有效性。

关键词: 动态无功优化, 混合整数非线性规划, 解耦内点法, 混合整数线性规划法

Abstract: Dynamic reactive power optimization plays an important role in improving the voltage quality of power grid, decreasing the network loss and reducing the daily action times of discrete voltage regulators. Mathematically, it is a multi-period large-scale nonlinear mixed integer programming problem with absolute value constraints, and its efficient solution is a difficult problem. Therefore, this paper proposes a two-stage dynamic reactive power optimization algorithm based on decoupling interior point method and mixed integer programming. Firstly, the sigmoid function is used to deal with the absolute value constraint to realize the continuity of the original model, and the idea of decoupling interior point method is used to construct the diagonal band edge structure of the KKT modified equation, so as to realize the time block decoupling and efficient solution of the model. Secondly, the original model is linearized near the current continuous solution, and a mixed integer linear programming model involving all constraints of the original model is constructed, so as to determine the optimal solution of the discrete reactive power control equipment. The effectiveness of the proposed algorithm is verified through simulation of a 26 bus example.

Key words: dynamic reactive power optimization, mixed integer nonlinear programming, decoupling interior point method, mixed integer linear programming

张杰, 郑云耀, 刘生春, 马勇飞, 颜伟, 王恒凤. 基于解耦内点法与混合整数规划法的区域电网动态无功优化算法[J]. 中国电力, 2023, 56(1): 112-118.

ZHANG Jie, ZHENG Yunyao, LIU Shengchun, MA Yongfei, YAN Wei, WANG Hengfeng. A Dynamic Reactive Power Optimization Algorithm for Regional Power Grid Based on Decoupling Interior Point Method and Mixed Integer Programming Method[J]. Electric Power, 2023, 56(1): 112-118.

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基于解耦内点法与混合整数规划法的区域电网动态无功优化算法

A Dynamic Reactive Power Optimization Algorithm for Regional Power Grid Based on Decoupling Interior Point Method and Mixed Integer Programming Method

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基于解耦内点法与混合整数规划法的区域电网动态无功优化算法

A Dynamic Reactive Power Optimization Algorithm for Regional Power Grid Based on Decoupling Interior Point Method and Mixed Integer Programming Method

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