计算最近电压崩溃临界点的实用算法

提出了一种计算最近电压崩溃临界点的实用算法。首先利用直角坐标系下潮流方程的二次性及潮流高低电压解的中点处雅可比矩阵奇异的性质,近似计算最近电压崩溃临界点并将其作为迭代的初值。然后采用牛顿-拉夫逊法直接对最近电压崩溃临界点模型所构成的非线性方程组进行迭代求解。最后通过数字仿真验证了该方法计算精度高,在计算用时上较“主从”迭代算法具有明显的优势。

A Practical Algorithm for Calculating the Closest Point of Collapse

A practical algorithm for calculating the closest point of collapse is proposed. Firstly, the closest point of collapse is calculated approximately by utilizing the quadratic characteristic of power flow equations and the singularity of Jacobian matrix on the center point of high voltage solution and low voltage solution on rectangular coordination. Then using the approximate solution as initial value of iteration, the nonlinear equations for the closest point of collapse are solved directly by Newton-Raphson method. Finally simulation results on test systems show that the proposed algorithm is of high precision, and the CPU time of the proposed algorithm is evidently shorter than that of master-slave iterative algorithm.