面向随机潮流计算的改进自适应稀疏伪谱逼近新方法OA

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.