配电网区间线性三相潮流的非迭代仿射求逆计算方法

现有配电网区间潮流计算大多是以迭代法为基础扩展得到的,需要进行多次区间迭代以获取收敛的潮流解,因而存在收敛性和计算效率低下问题。为此,文中将线性三相潮流算法与仿射求逆方法相结合,提出了一种配电网区间线性三相潮流的非迭代仿射求逆计算方法。所提方法采用仿射数描述区间变量间的相关性,将潮流方程转化为仿射线性潮流方程,并引入仿射矩阵求逆方法对其进行求解。该方法无须迭代,不存在收敛性问题。最后采用多个三相不平衡系统作为算例,通过与其他3种方法的分析比较,验证了所提算法的性能。结果表明,所提算法兼具高效性和低保守性优点,且性能稳定。

Non-iterative Affine Inverse Algorithm for Interval Linear Three-phase Power Flow Calculation of Distribution Networks

Most of the existing interval power flow calculation methods for distribution networks are based on the extension of iterative methods, which require multiple interval iterations to obtain convergence solutions, thus exist convergence problems and low computational efficiency. In this paper, a non-iterative affine inverse algorithm for interval linear three-phase power flow calculation of distribution network is proposed by the integration of linear three-phase power flow algorithm and affine inverse operation. In this method, the affine number is used to describe the correlation between interval variables, and the interval power flow equations are transformed into affine linear power flow equation, which are solved by inverse operation of affine matrix. The proposed method does not need iterations and have no convergence problem. Finally, several unbalanced power distribution systems are used to verify the performance of proposed method by the comparison with other three methods. The results show that the proposed method merits both in high computational efficiency and low conservation, as well as it has stable performance.