Efficiency Analysis of High-order Newton Method for Flexible DC Power Flow Calculation

LIU Tuanjie; WEI Yanfang; WANG Peng; HU Yanli; ZENG Zhihui; WANG Xiaowei

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Efficiency Analysis of High-order Newton Method for Flexible DC Power Flow Calculation

更新时间：2025-12-08

- Efficiency Analysis of High-order Newton Method for Flexible DC Power Flow Calculation
- Vol. 46, Issue 11, Pages: 3837-3848(2020)
- 作者机构：
  
  1. 淮南师范学院机械与电气工程学院
  2. 河南理工大学电气工程与自动化学院
  3. 国网河南省电力公司电力科学研究院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published Online：30 November 2020，
  
  Published：2020
- 稿件说明：
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LIU Tuanjie, WEI Yanfang, WANG Peng, et al. Efficiency Analysis of High-order Newton Method for Flexible DC Power Flow Calculation[J]. 2020, 46(11): 3837-3848.
DOI：

LIU Tuanjie, WEI Yanfang, WANG Peng, et al. Efficiency Analysis of High-order Newton Method for Flexible DC Power Flow Calculation[J]. 2020, 46(11): 3837-3848. DOI：

摘要

潮流计算是研究柔性直流系统稳态运行的一种基本电气计算

而求解效率是其核心。因此

针对性地对比分析了几种适用于柔性直流系统潮流计算的高阶牛顿法求解效率。首先分析了牛顿法及其改进的2.414阶、3阶、6阶等高阶收敛形式

并提出了一种新的基于2.414阶牛顿法和简化牛顿法的组合高阶算法;接着

给出了适用于VSC-HVDC潮流计算的迭代法效率计算式

并分别推导了上述各牛顿潮流算法的效率指标

进一步扩展讨论了效率计算式中函数值和雅克比矩阵的计算量问题;最后

基于修改后的IEEE算例系统

对比了上述各种牛顿法的效率优劣性

算例验证了所提出的组合高阶算法及效率指标的适用性和有效性。

Abstract

Power flow is basic for studying the steady-state operation of flexible DC systems

and its efficiency is the core problem. Consequently

we compared and analyzed the efficiency of several high-order Newton methods suitable for power flow calculation of flexible DC systems. First

we analyzed the Newton method and its improvement higher-order convergence forms such as 2.414-order

third-order

and sixth-order

and proposed a new combined high-order algorithm based on the 2.414-order Newton and the simplified Newton. Then

we put forward an efficiency formula of the iterative methods suitable for VSC-HVDC power flow

and discussed the problem of unequal calculation of function value and Jacobian matrix in the efficiency formula. Finally

based on the modified IEEE examples

the pros and cons of efficiency for the above-mentioned methods are compared. Simulation verifies the applicability and effectiveness of the proposed combined high-order algorithm and efficiency index.

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Related Institution

直流系统工程装备研究中心(大连海事大学)

Department of Electrical Engineering, North China Electric Power University

National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical Engineering,PLA University of Science and Technology

Unit of PLA

China Electric Power Research Institute

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