基于改进拟牛顿法的柔性直流系统潮流算法  

Power Flow Algorithm of Flexible DC System Based on Modified Quasi-Newton Method

作　　者：邹建凯 韦延方[1] Zou Jiankai;Wei Yanfang(School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo,Henan 454003,China)

机构地区：[1]河南理工大学电气工程与自动化学院,河南焦作454003

出　　处：《机电工程技术》2023年第2期47-50,共4页Mechanical & Electrical Engineering Technology

基　　金：国家自然科学基金资助项目(编号:61703144);河南省矿山电力电子装置与控制创新型科技团队项目(编号:CXTD2017085)。

摘　　要：针对目前柔性直流输电系统潮流算法存在的雅可比矩阵求解困难、算法效率低等问题,提出了一种基于改进拟牛顿法的交直流系统潮流算法,使用Broyden方法更新每次迭代过程中的雅可比矩阵,避免了雅可比矩阵的重复形成,减少了单步迭代的计算量,同时使用三阶牛顿法的迭代形式,提升了算法的收敛阶数,有效地避免了因拟牛顿法收敛阶数过低而造成的迭代次数增加问题,使得其计算效率相较于传统牛顿法与Broyden方法更有优势。最后,对不同规模的柔性直流输电系统进行潮流计算仿真分析,从交直流潮流结果、控制方式、算法效率、重负荷下的算法性能等方面进行对比分析,结果表明:提出的算法适用于多种算例情况,且具有与传统牛顿法相同的精确性,同时其算法效率相较于传统牛顿法得到了显著的提升,平均计算时间缩减率可以达到26.712%。Aiming at the difficulties in solving the Jacobian matrix and the low efficiency of the power flow algorithm for flexible DC transmission systems,a power flow algorithm for AC and DC systems based on an improved quasi-Newton method was proposed,which used the Broyden method to update the Jacobian matrix in each iteration process,avoided the repeated formation of the Jacobian matrix and reduced the calculation amount of a single-step iteration.At the same time,the iterative form of the third-order Newton method was used to improve the convergence order of the algorithm.The number of iterations was effectively avoided due to the low convergence order of the quasi-Newton method,which made its computational efficiency more advantageous than the traditional Newton method and Broyden method.Finally,the power flow calculation simulation analysis was carried out for different scales of flexible DC transmission systems,and the comparison and analysis were carried out from the aspects of AC and DC power flow results,control methods,algorithm efficiency,algorithm performance under heavy load,etc.The results show that the algorithm proposed is suitable for a variety of computing examples,it has the same accuracy as the traditional Newton method,and its algorithm efficiency has been significantly improved compared with the traditional Newton method,and its average calculation time reduction rate can reach 26.712%.

关 键 词：柔性直流输电 BROYDEN方法 改进拟牛顿法 交直流系统 潮流计算 

分 类 号：TM715[电气工程—电力系统及自动化]