中国电机工程学报2025，Vol.45Issue(12)：4608-4619,中插6,13.DOI:10.13334/j.0258-8013.pcsee.232581
一种高阶仿射型潮流及其递归求解方法
A High-order Affine Power Flow Algorithm and Its Recursion Solution Method
摘要
Abstract
Aiming at the problem that existing affine power flow methods are too conservative in complex systems,a high-order affine power flow algorithm and its recursion solution method are proposed.The proposed method defines an expanded affine form containing high-order partial deviations and applies it to affine power flow modeling.An affine power flow model based on recursion solution of high-order partial deviation coefficients is proposed to address the problem of excessive expansion of interval error resulting from the approximation of numerous nonlinear partial deviations.The proposed method employs the recursion solution limited to second-order coefficients of the original partial deviations,and then transforms the calculation of higher-order terms into the determination and calculation of the error partial deviation coefficients of injected power,ensuring the completeness of the solution while avoiding redundant calculations.Additionally,a conversion method between higher-order affine and interval solution is proposed to realize the affine-interval conversion containing higher-order partial deviations by utilizing complex affine polygons to assist the partial deviation coefficients fetching.Simulation on multiple test systems demonstrates that the proposed method exhibits superior convergence and lower conservatism.关键词
不确定性/仿射潮流/保守性/递归求解Key words
uncertainty/affine power flow/conservatism/recursion solution分类
信息技术与安全科学引用本文复制引用
陈飞雄,吴鸿斌,邵振国,颜熙颖,陈冰..一种高阶仿射型潮流及其递归求解方法[J].中国电机工程学报,2025,45(12):4608-4619,中插6,13.基金项目
国家自然科学基金项目(52107080) （52107080）
福建省自然科学基金项目(2021J05135). Project Supported by Natural Science Foundation of China(52107080) （2021J05135）
Natural Science Foundation of Fujian Province(2021J05135). （2021J05135）
