电力系统保护与控制2026，Vol.54Issue(1)：1-16,16.DOI:10.19783/j.cnki.pspc.250131
考虑相关性的配电网切比雪夫仿射潮流计算方法
Chebyshev affine power flow calculation method for distribution networks considering correlation
摘要
Abstract
To address the problem of solving affine coefficients in existing Taylor expansion-based affine power flow methods,a Chebyshev affine power flow calculation method for distribution networks considering correlation is proposed.First,Chebyshev polynomials are used to construct affine operators,and several interpolation points are extracted within the interval ranges of the input variables to solve for the affine coefficients,thereby establishing a Chebyshev affine model.Based on this model,the affine form of the variables to be solved is constructed and substituted into the original power flow equations to reconstruct the equations,obtaining an affine optimization model with respect to the noise elements of the target variables.The correlation of the distributed wind power output is described using the hybrid box-ellipsoid set,and through coordinate transformation,the hybrid box-ellipsoid set is converted into new affine constraints and embedded into the affine optimization model for simultaneous solution.Simulation results on two distribution network examples show that,compared with the Taylor expansion affine model,the proposed model has higher calculation accuracy and efficiency,and is more suitable for interval power flow analysis scenarios under larger fluctuation ranges.Meanwhile,the hybrid box-ellipsoid set effectively reflects the impact of different correlation levels on the calculation results.关键词
配电网/区间潮流/切比雪夫多项式/仿射优化模型/区间相关性Key words
distribution network/interval power flow/Chebyshev polynomial/affine optimization model/interval correlation引用本文复制引用
廖小兵,魏寒琪,李自成,张一鸣,杨萌,陈昕芸..考虑相关性的配电网切比雪夫仿射潮流计算方法[J].电力系统保护与控制,2026,54(1):1-16,16.基金项目
This work is supported by the National Natural Science Foundation of China(No.52107122). 国家自然科学基金项目资助(52107122) （No.52107122）
