Steady-State Modeling of HVDC Transmission Considering Complex Control Switching Characteristics and Solution of System Equilibrium Points

WU Jiaze; FAN Yue; NIU Shuanbao; WANG Ying; DUAN Chao

doi:10.7652/xjtuxb202609006

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Steady-State Modeling of HVDC Transmission Considering Complex Control Switching Characteristics and Solution of System Equilibrium Points

更新时间：2026-09-04

- Steady-State Modeling of HVDC Transmission Considering Complex Control Switching Characteristics and Solution of System Equilibrium Points
- Journal of Xi'an Jiaotong University Vol. 60, Issue 9, Pages: 50-60(2026)
- 作者机构：
  
  西安交通大学电气工程学院，710049，西安
  国家电网有限公司西北分部，710048，西安
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202609006
  CLC： TM721
- Received：26 December 2025，
  
  Online First：19 May 2026，
  
  Published：10 September 2026
- 稿件说明：
移动端阅览
WU Jiaze, FAN Yue, NIU Shuanbao, et al. Steady-State Modeling of HVDC Transmission Considering Complex Control Switching Characteristics and Solution of System Equilibrium Points[J]. Journal of Xi'an Jiaotong University,2026,60 (9):50-60. https://doi.org/10.7652/xjtuxb202609006.
DOI：

WU Jiaze, FAN Yue, NIU Shuanbao, et al. Steady-State Modeling of HVDC Transmission Considering Complex Control Switching Characteristics and Solution of System Equilibrium Points[J]. Journal of Xi'an Jiaotong University,2026,60 (9):50-60. https://doi.org/10.7652/xjtuxb202609006. DOI：

摘要

为解决高压直流输电系统在运行方式变化下因控制模式多样化所导致的机电暂态仿真初始化误差大及静态安全分析可靠性不足的问题，构建了一种基于完整非线性切换代数方程组的直流系统稳态模型，并提出一种交替迭代解耦计算方法。通过先更新直流注入电流，再求解网络方程，实现交直流系统的协同求解。在改进的16机68节点系统上进行仿真验证，结果表明：所提方法直接计算得到的故障后各节点电压与时域仿真结果高度一致，误差控制在1%以内；基于等面积法的临界切除时间计算值与时域仿真结果吻合良好，验证了该模型对直流系统模式切换行为的有效捕捉能力。所提模型与方法能够精确求解故障后平衡点，适用于含直流系统的电力系统安全稳定评估。

Abstract

To address the large initialization errors in electromechanical transient simulation and the insufficient reliability of static security analysis caused by diverse control modes of highvoltage direct current（HVDC）systems under changing operating conditions

a steady-state model of the DC system based on a complete set of nonlinear switching algebraic equations is constructed

and an alternating iterative decoupled calculation method is proposed.By first updating the DC injection currents and then solving the network equations

coordinated solution of the AC/DC system is achieved.It is shown by simulation results on a modified 16-machine

68bus system that the post-fault bus voltages directly calculated using the proposed method are highly consistent with the time-domain simulation results

with errors controlled within 1%.Good agreement is obtained between the critical clearing time calculated using the equal-area criterion and the time-domain simulation result

verifying the effectiveness of the model in capturing the mode-switching behavior of the DC system.The post-fault equilibrium point can be accurately determined using the proposed model and method

which are applicable to the security and stability assessment of power systems incorporating HVDC transmission.

关键词

Keywords

references

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