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Mathematical Problems in Engineering
Volume 2013, Article ID 235316, 10 pages
Research Article

Improved Power Flow Algorithm for VSC-HVDC System Based on High-Order Newton-Type Method

1School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China
2Economics and Business College, Qingdao Technological University, Qingdao 266520, China
3College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, China
4Jiangsu Frontier Electric Technology Co., Ltd., Nanjing 211102, China

Received 4 April 2013; Accepted 12 May 2013

Academic Editor: Guanghui Wen

Copyright © 2013 Yanfang Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Voltage source converter (VSC) based high-voltage direct-current (HVDC) system is a new transmission technique, which has the most promising applications in the fields of power systems and power electronics. Considering the importance of power flow analysis of the VSC-HVDC system for its utilization and exploitation, the improved power flow algorithms for VSC-HVDC system based on third-order and sixth-order Newton-type method are presented. The steady power model of VSC-HVDC system is introduced firstly. Then the derivation solving formats of multivariable matrix for third-order and sixth-order Newton-type power flow method of VSC-HVDC system are given. The formats have the feature of third-order and sixth-order convergence based on Newton method. Further, based on the automatic differentiation technology and third-order Newton method, a new improved algorithm is given, which will help in improving the program development, computation efficiency, maintainability, and flexibility of the power flow. Simulations of AC/DC power systems in two-terminal, multi-terminal, and multi-infeed DC with VSC-HVDC are carried out for the modified IEEE bus systems, which show the effectiveness and practicality of the presented algorithms for VSC-HVDC system.