电力系统及其自动化学报2026，Vol.38Issue(5)：90-99,10.DOI:10.19635/j.cnki.csu-epsa.001796
面向随机潮流计算的改进自适应稀疏伪谱逼近新方法
Improved New Adaptive Sparse Pseudo-spectral Approximation Method for Stochastic Power Flow Calculation
摘要
Abstract
In view of the fact that the power flow calculation is an effective tool to describe the state uncertainty of new power systems and there is a contradiction between computation speed and accuracy in the existing stochastic power flow calculation methods,a stochastic power flow calculation method based on an improved new adaptive sparse pseudo-spectral approximation method(INA-SPAM)is proposed in this paper.First,the INA-SPAM based on index set trunca-tion is put forward,which avoids the expansion of high-order coupling terms by introducing an index set expansion q-norm constraint.In addition,the index expansion calculation with a high contribution to approximation error reduction and a small computational volume is added,so as to sacrifice the small calculation accuracy in exchange for a signifi-cant improvement in the calculation speed.Furthermore,INA-SPAM is applied to the stochastic power flow calcula-tion,and a new method of stochastic power flow calculation based on INA-SPAM is constructed,which greatly im-proves the calculation speed of random power flow calculation at given accuracy.The results of examples of IEEE 39-node and 118-node systems show that compared with the new adaptive sparse pseudo-spectral approximation method(NA-SPAM),the proposed method has extremely close calculation accuracy,but its calculation time is only 1/3 and 1/100 of those of NA-SPAM,respectively.Therefore,the effectiveness and correctness of the proposed model and method are fully proved,indicating their potential for applications in practical engineering systems.关键词
新型电力系统/随机潮流/指标集截断/改进自适应稀疏伪谱逼近新方法Key words
new power system/stochastic power flow/index set truncation/improved new adaptive sparse pseudo-spec-tral approximation method分类
信息技术与安全科学引用本文复制引用
王蕾报,梁纪峰,杨鹏,程伦,左芳睿,林济铿..面向随机潮流计算的改进自适应稀疏伪谱逼近新方法[J].电力系统及其自动化学报,2026,38(5):90-99,10.基金项目
国网河北省电力有限公司科技项目(kj2024-024). （kj2024-024）
