摘要
经典的直流潮流模型无法考虑电压幅值和无功功率,而其他主流的近似线性化潮流模型在计算效率或精度方面存在不足。为此,提出了一种基于对数-平方映射的近似线性化潮流模型,以兼顾计算精度和效率。该模型将原始潮流方程中的电压幅值先后映射至对数空间和平方空间,同时将变压器变比映射至对数空间,并在映射过程中完成线性化处理。该模型能够充分保留原始潮流方程中的非线性特性,从而显著提升了模型的计算精度。此外,通过优化所提模型在近似潮流计算过程中的非稀疏矩阵,降低了计算复杂度,将模型的求解效率提升至接近直流潮流模型的水平。最后,结合不同规模的输配电网标准测试系统,验证了所提模型的精确性和高效性,并在高负载的配电系统中验证了模型的鲁棒性。
The classical DC power flow model fails to account for voltage magnitudes and reactive power,whereas other mainstream approximate linearized power flow models often suffer from limitations in computational efficiency or accuracy.To address these challenges,an approximate linearized power flow model based on logarithmic-square mapping is proposed to balance computational accuracy and efficiency.Specifically,the model maps the voltage magnitude in the original power flow equation sequentially into logarithmic and square spaces,while the transformer tap ratios are mapped into the logarithmic space,with linearization carried out during the mapping process.This model effectively preserves the nonlinear characteristics inherent in the original power flow equations,thereby significantly enhancing computational accuracy.Furthermore,by optimizing the non-sparse matrices arising in the approximate power flow calculations,the model substantially reduces computational complexity and achieves solution efficiency comparable to that of the direct current power flow model.Finally,the accuracy and efficiency of the proposed model are validated on benchmark transmission and distribution systems of various scales,and its robustness is demonstrated in heavy-load distribution systems.
作者
赖海鹏
李志刚
梁洪源
郑杰辉
黄锦波
魏东宁
LAI Haipeng;LI Zhigang;LIANG Hongyuan;ZHENG Jiehui;HUANG Jinbo;WEI Dongning(School of Electric Power Engineering,South China University of Technology,Guangzhou 510641,China;School of Science and Engineering,Chinese University of Hong Kong(Shenzhen),Shenzhen 518172,China;Guangzhou Power Supply Bureau of Guangdong Power Grid Co.,Ltd.,Guangzhou 510620,China)
出处
《电力自动化设备》
北大核心
2025年第8期28-34,43,共8页
Electric Power Automation Equipment
基金
国家自然科学基金资助项目(52177086)。
关键词
线性化
空间变换
非线性映射
近似潮流计算
计算精度
计算效率
linearization
space transformation
nonlinear mapping
approximate power flow calculation
computational accuracy
computational efficiency
