大规模输配一体化系统牛顿法潮流计算性能分析及改进方法

为满足输配电网一体化潮流计算精度和计算速度需求,提出了一种改进的牛顿法潮流计算方法。针对输配电网一体化牛顿法雅可比矩阵病态严重、收敛性能较差等问题,采用自适应Levenberg-Marquardt算法初始精度提升速度快的特征选取初值、不完全三角分解法预处理雅可比矩阵,有效地保证了数值稳定性,提高了牛顿法的收敛性能。针对输配电网一体化后规模庞大、计算效率低等问题,利用图形处理器并行加速技术对算法中的一些计算量密集的步骤,包括雅可比矩阵的生成、矩阵—向量运算等进行加速处理。算例测试表明,该算法能够显著提高大规模输配电网一体化潮流计算的速度和精度,对于多配电网区域、环网、分布式电源、病态系统等多种情形具有较强的普适性。

Performance Analysis and Improvement of Newton Method for Power Flow Calculation of Large-scale Integrated Transmission and Distribution Network

In order to meet the demand of integrated power flow calculation speed, an improved Newton method is proposed. In view of the seriously ill-conditioned Jacobian matrix and poor convergence and so on, an adaptive Levenberg-Marquardt method is used to choose the initial values, and incomplete LU decomposition method is used to preprocess Jacobian matrices, which effectively guarantees the numerical stability and improves the convergence of Newton method. To solve the problem of large-scale and low computing efficiency after integration of transmission and distribution networks, the GPU parallel acceleration technology is used to accelerate some steps with intensive computation including the formation of Jacobian matrix, matrix-vector operation and so on. The numerical experiments show that, the proposed algorithm can significantly improve the speed and accuracy of the large-scale integrated transmission and distribution networks, and it has a strong universality for different situations such as multiple distribution network areas, distribution network with loops or distributed generators, ill-conditioned systems.