【摘要】 随着配电网实时监控要求的不断提高,有必要寻找一种既能建立常Jacobian系数矩阵以提升其收敛速度,又能满足病态条件下方程有解而不至于发散的潮流计算方法。该文基于牛顿-拉夫逊法的极坐标形式,从复功率方程出发,忽略功率方程迭代过程中影响相对较小的负荷功率,把PV节点电压的实部、虚部线性拟和为幅值,建立了完全常数项的Jacobian矩阵。对常Jacobian矩阵的适应性进行了详细的论证且得到了实际算例证实,证明本算法提高了计算效率并显著降低了内存需求;该算法无须解耦,不受R/X数值大小的影响,具有出色的收敛性和良好的稳定性,最后对算法结果进行了分析说明。该算法同样适用于有环配电网和输电网系统。更多还原

【Abstract】 With the increasing demand for real-time control of power distribution system, it is necessary to search for a new method which could not only form constant Jacobian coefficient matrix to accelerate iteration convergence rapidity,but also solve ill-condition nonlinear algebraic equation not to result in divergence as well. Based on Newton-raphson method in polar form and derived from complex power equation, the Jacobian matrix of the proposed method has become constant by neglecting node load power which will bring less influence in iterating process and by linearizing the real and image of PV node voltage to magnitude. The applicability of constant Jacobian matrix has been demonstrated in detail and tested by numerical tests. The results show that the proposed method is very efficient and require less computer memory observably. It does not need to decouple, and the ratio of resistance and reactance does not influence its convergence. The proposed method has excellent convergence characteristics and much better robustness. The results of the algorithm are analyzed in this paper. The proposed method can be used in meshed distribution and transmission networks as well.更多还原