Suppressing LFO in Power System With SG, Equivalent Heterogeneous WF, and HVDC Based on Small-signal Interconnection Matrix Extended by Interactive Current

LI Shenghu; TAO Diwen

doi:10.13334/j.0258-8013.pcsee.242323

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Suppressing LFO in Power System With SG, Equivalent Heterogeneous WF, and HVDC Based on Small-signal Interconnection Matrix Extended by Interactive Current

更新时间：2026-02-28

- Suppressing LFO in Power System With SG, Equivalent Heterogeneous WF, and HVDC Based on Small-signal Interconnection Matrix Extended by Interactive Current
- Vol. 46, Issue 4, Pages: 1407-1419(2026)
- 作者机构：
  
  新能源利用与节能安徽省重点实验室(合肥工业大学),安徽省,合肥市,230009
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.242323
  CLC：
- Published：2026
- 稿件说明：
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LI Shenghu, TAO Diwen. Suppressing LFO in Power System With SG, Equivalent Heterogeneous WF, and HVDC Based on Small-signal Interconnection Matrix Extended by Interactive Current[J]. 2026, 46(4): 1407-1419.
DOI：

LI Shenghu, TAO Diwen. Suppressing LFO in Power System With SG, Equivalent Heterogeneous WF, and HVDC Based on Small-signal Interconnection Matrix Extended by Interactive Current[J]. 2026, 46(4): 1407-1419. DOI： 10.13334/j.0258-8013.pcsee.242323.

摘要

同步发电机(synchronous generator，SG)、风电场、高压直流(high-voltage direct current，HVDC)间交互，增加了电力系统低频振荡风险。在双馈感应电机(doubly-fed induction generator，DFIG)安装附加阻尼控制器(supplementary damping controller，SDC)，可提高小干扰稳定性。由于电网需求和安装成本，并非所有DFIG都配置SDC，从而形成异构风电场(heterogeneous wind farm，HWF)。该文提出HWF场网振荡等效模型，量化HWF-SG-HVDC交互对低频振荡影响。首先，推导SDC对应的非对角状态子矩阵。保持SDC控制效果不变，提出HWF等效方程。根据各等效DFIG输出与HWF输出间关系，建立HWF场网振荡等效模型；其次，建立HWF-SG-HVDC子结构模型。根据设备端电压和输电网络导纳，将子结构输出电流表示为交互电流叠加形式。基于组件连接法，建立计及交互作用的状态矩阵；最后，推导非线性交互矩阵，将其F-范数定义为交互强度。以交互矩阵元素为中间变量，提出关键模态对交互强度的灵敏度，进而建立抑制低频振荡优化算法。仿真结果表明：优化后系统交互强度降低24.5%，关键模态阻尼比由0.02增加至0.06。

Abstract

Interaction among synchronous generator (SG)

wind farm

and high-voltage direct current (HVDC) adds risk of power system low-frequency oscillation (LFO). Installing the supplementary damping controller (SDC) at the doubly-fed induction generator (DFIG) can improve small-signal stability. Due to system requirement and installation cost

not all DFIGs have SDCs

which yields the heterogeneous wind farm (HWF). This paper proposes the equivalent wind-farm-grid oscillation model for the HWF

and quantifies the impact of interactions among HWF

and HVDC on the LFO. At first

the non- diagonal state submatrices relating to SDCs are derived. With the same control effect of SDCs

equivalent HWF equations are proposed. Based on relation of the outputs of equivalent DFIGs and HWF

the equivalent wind-farm-grid oscillation model of the HWF is proposed. Then

substructure models of the HWF- SG-HVDC are derived

whose output currents are given by the superposition of interaction currents with equipments’ terminal voltage and transmission system admittance. The component connection method is used to derive state matrix considering the interactions. Finally

nonlinear interactive matrix is derived

whose F-norm is defined as interactive strength. With elements of interactive matrix as the intermediate variables

sensitivity of critical mode with respect to interactive strength is proposed

and an optimization model to suppress the LFO is derived. The simulation results show that after the optimization

the system interactive strength is reduced by 24.5%

and the damping ratio of critical mode is increased from 0.02 to 0.06.

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