计及新能源出力不确定性的电力系统恢复模型及快速求解方法

毛荀 , 董王朝 , 吕凯 , 王桢 , 赵鑫 , 李堂明 , 林济铿

南方电网技术 ›› 2026, Vol. 20 ›› Issue (2) : 115 -125.

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南方电网技术 ›› 2026, Vol. 20 ›› Issue (2) : 115 -125. DOI: 10.13648/j.cnki.issn1674-0629.2026.02.012

计及新能源出力不确定性的电力系统恢复模型及快速求解方法

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Power System Restoration Modeling and Fast Solution Method Considering the Uncertainty of New Energy Output

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摘要

以黑启动及系统恢复方案为核心的电网应急预案是电力公司应对电网大面积停电最关键的措施之一,由于模型的复杂性使得其有效建模及快速求解成为一个挑战性难题。针对该问题提出了计及新能源出力不确定性的系统恢复两阶段鲁棒优化模型及快速求解新方法。首先构建计及新能源出力不确定性及交流潮流约束的两阶段鲁棒优化完整模型;然后提出潮流方程低非线性转换结合二阶锥松弛技术的方法,将混合整数非线性优化模型转化为混合整数二阶锥优化模型;最后采用列与约束生成算法求解。算例证实了所提模型及算法的有效性和先进性。

Abstract

Since the power grid emergency plan with black start and system restoration scheme being the core, which is usually very complicate, is always the most critical measure for power companies to cope with the large-scale power grid outage, and thus its effective modeling and fast solving algorithm have been the challenging issue. To focus on the issue, this paper proposes a two-stage robust optimization model and a fast solving new method for system recovery considering the uncertainty of new energy power output (NEPO). Firstly, a two-stage robust optimization model that considers the uncertainty of NEPO and the constraints of AC power flow is constructed. Then, the low nonlinear transformation of power flow equation combined with second-order cone relaxation technique is proposed to transform the mixed integer nonlinear optimization model into the mixed integer second-order cone optimization model. Finally, the column and constraint generation algorithm is used to solve the problem. The effectiveness and advancement of the proposed model and algorithm are verified by a numerical example.

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关键词

黑启动及系统恢复 / 二阶锥松弛 / 潮流方程转换 / 新能源出力不确定性 / 两阶段鲁棒优化模型

Key words

black start and system restoration / second-order cone relaxation / power flow equation transformation / uncertainty of new energy power output / two-stage robust optimization model

Author summay

毛荀(1989),男,高级工程师,硕士,从事电网运行特性分析;

董王朝(1993),男,高级工程师,博士,从事电网运行特性分析;

赵鑫(1989),男,工程师,硕士,从事电力信息系统设计研发与项目管理,

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毛荀,董王朝,吕凯,王桢,赵鑫,李堂明,林济铿. 计及新能源出力不确定性的电力系统恢复模型及快速求解方法[J]. 南方电网技术, 2026, 20(2): 115-125 DOI:10.13648/j.cnki.issn1674-0629.2026.02.012

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基金资助

国家自然科学基金资助项目(51177107)

国网安徽省电力有限公司科技项目(521205230013)

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