基于泰勒级数展开的N-1牛顿拉夫逊法快速潮流修正计算  

Taylor Series Expansion Based N-1 Fast Power Flow Revision Calculation Using Newton-Raphson Method

作　　者：容文光[1] 吴政球[1] 匡文凯[1] 陈思浩[1] 朱民茂[1] 

机构地区：[1]湖南大学电气与信息工程学院,湖南省长沙市410082

出　　处：《电网技术》2007年第2期42-46,共5页Power System Technology

摘　　要：提出用高阶泰勒级数来估计线路开断以后系统的各个运行变量的方法,其优点是在线路开断时不必对系统导纳矩阵因子表进行修正,运算中也不必用到节点阻抗矩阵这一满秩矩阵。高阶泰勒展开时只需在基态网络三角分解的基础上进行前代与回代即可求得节点电压对开断线路参数的各高阶导数,采用高阶泰勒展开法对电压相角与幅值的一次修正计算量相当于一次前代与回代。高阶泰勒级数法对故障支路两端2个节点的等效功率具有预测功能,通过与补偿法比较可知,高阶泰勒展开法具有更优越的收敛特性。用IEEE118节点系统算例验证了所提方法的有效性。The authors propose a method to estimate operational variables of power system by use of higher order Taylor series after transmission line is out of operation, the advantage of this method lies in that the admittance matrix is not to be re-factorized after one branch is out of operation and the node impedance matrix is also not to be used during the calculation. When higher order Taylor series is expanded, it is necessary only to conduct fast forward and backward iteration based on triangle decomposing of the network in ground state, and then high order derivatives of nodal voltage vs. parameters of the line out of operation can be obtained. The revision calculation amount for the phase angle and amplitude of voltage is equivalent to that of forward and backward iteration for once. The higher order Taylor series expansion method can be used to forecast the equivalent power of two nodes at both terminals of the faulty line. Comparison results show that the proposed method possesses better convergence performance than that of compensation method. The effectiveness of the proposed method is verified by the calculation results of IEEE 118-bus system by this method.

关 键 词：高阶泰勒级数 N-1状态 静态安全分析 节点阻抗矩阵 前代与回代 电力系统 

分 类 号：TM731[电气工程—电力系统及自动化]