基于二阶项的配电网潮流计算方法

摘要

利用潮流方程在直角坐标系下是一个多变量非线性二次型的代数方程组这一特征，提出了一种加速收敛的配电网潮流计算方法。所提方法首先利用Taylor级数展开，将上述潮流方程转换成二次型矩阵方程；在此基础上，直接导出了一个近似的潮流计算结果；然后将这个近似的潮流结果用于潮流计算的迭代初值，使迭代过程得到改善。该方法具有两个特点：第一，在迭代过程中雅可比矩阵保持不变，即雅可比矩阵保持为节点导纳矩阵；第二，由于所提方法具有更好的迭代初值，因此收敛性更好。利用 IEEE-33节点和 IEEE-69节点配电网系统对导出的潮流算法进行测试，结果表明，相比于传统的牛顿法和经典的二次型方法，本文所提出的方法计算效率更高。%Power flow equations are a set of multi-variable nonlinear quadratic algebraic ones when expressed in rectangular coordinate system.Therefore,the paper proposes a convergence accelerated calculation method of distribution network power flow.The method uses Taylor series expansion to transform power flow equation to quadratic matrix equation;on this basis,an approximate power flow calculation result is derived,which then is used as initial value of iteration for power flow solution to better the iteration process.The method has two features:first,the Jacobian matrix is a constant one just as ad-mittance matrix;second,the method has better convergence due to good initial iteration value.The proposed method is test-ed by IEEE-33 bus and IEEE 69 bus distribution system,and the result shows that the method mentioned is higher in calcula-tion efficiency compared with Newton method and classical quadratic method.