1．广西贵港供电局，广西壮族自治区 贵港市 537100； 2．广西大学 电气工程学院，广西壮族自治区 南宁市 530004

通过把电力系统潮流方程的求解转化为一个新的非线性规划模型的求解，解决了病态系统潮流计算发散的问题，为给定条件下的潮流计算是否有解提供了一个新的判断途径。利用牛顿法获得具有对称不定系数矩阵的修正方程后，采用AMD算法对系数矩阵进行排序，并采用LDLT算法进行求解，提高了修正方程的求解速度。整个潮流计算模型以矢量化形式表达，简化了程序复杂度，提高了代码的通用性和易维护性。对节点数从118到703共3个测试系统进行了仿真计算，结果验证了文中所提方法的正确性。

电力系统   潮流计算   矢量化计算   非线性规划

By means of transforming the solution of power system power flow into the solution of a new nonlinear programming model, the divergence of ill-conditioned power flow is solved and a new judging approach for the problem that whether the power flow under given conditions can be solved or not is provided. After the modified equations with symmetrical indefinite coefficient matrices are obtained by use of Newton method, the coefficient matrices is reordered by AMD reordering algorithm and solved by LDLT decomposition method, thus the solving speed of modified equations is quickened. Whole power flow calculation model is expressed by vectorized form, so the complexity extent is simplified and both versatility and maintainability of code are improved. The proposed method is simulated by IEEE 118-bus test system, IEEE 300-bus test system and South China 703-bus system respectively, and the correctness of the proposed method is validated.

power system   power flow calculation   vectorization calculation   nonlinear programming