Steady-State Modeling of HVDC Considering Complex Control Switching Characteristics and Solving for System Equilibrium Points

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

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Steady-State Modeling of HVDC Considering Complex Control Switching Characteristics and Solving for System Equilibrium Points

更新时间：2026-08-31

- Steady-State Modeling of HVDC Considering Complex Control Switching Characteristics and Solving for System Equilibrium Points
- JOURNAL OF XI’AN JIAOTONG UNIVERSITY (2026)
- 作者机构：
  
  1.西安交通大学电气工程学院，710049，陕西西安
  2.国家电网有限公司西北分部，710048，陕西西安
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：26 December 2025，
  
  Revised：2026-05-06，
  
  Accepted：16 May 2026，
- 稿件说明：
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WU Jiaze, FAN Yue, NIU Shuanbao, et al. Steady-State Modeling of HVDC Considering Complex Control Switching Characteristics and Solving for System Equilibrium Points[J]. JOURNAL OF XI’AN JIAOTONG UNIVERSITY,2026.
DOI：

WU Jiaze, FAN Yue, NIU Shuanbao, et al. Steady-State Modeling of HVDC Considering Complex Control Switching Characteristics and Solving for System Equilibrium Points[J]. JOURNAL OF XI’AN JIAOTONG UNIVERSITY,2026. 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，本文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节点系统上的仿真结果表明，所提方法直接计算得到的故障后功角及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。本文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 issues of large initialization errors in electromechanical transient simulation and insufficient reliability in static security analysis caused by diverse control modes of high-voltage direct current (HVDC) systems under varying operating conditions

this paper constructs a steady-state model of HVDC systems based on a complete set of nonlinear switching algebraic equations. An alternating iteration decoupled solution method is proposed

which sequentially updates the DC injection current and solves the network equation to achieve the coordinated solution of the AC-DC system. Simulation results on a modified 16-machine

68-bus system demonstrate that the post-fault rotor angles and bus voltages computed by the proposed method are highly consistent with time-domain simulation results

with errors controlled within 1%. The critical clearing time calculated using the equal-area criterion shows good agreement with time-domain simulation results

verifying the effectiveness of the proposed model in capturing the mode-switching behavior of the HVDC system. The proposed model and method can accurately solve for the post-fault equilibrium point and are suitable for the security and stability assessment of power systems incorporating HVDC transmission.

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references

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