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浙江大学学报(工学版)
浙江大学学报(工学版)  2023, Vol. 57 Issue (3): 616-624    DOI: 10.3785/j.issn.1008-973X.2023.03.020
电气工程     
直流多馈入系统电压稳定主导模式定性分析
王冠中1(),王奕鑫1,但扬清2,何英静2,吴浩1
1. 浙江大学 电气工程学院，浙江 杭州 310027
2. 国网浙江省电力公司经济技术研究院，浙江 杭州 310008
Qualitative analysis of critical mode for voltage stability in multi-infeed DC system
Guan-zhong WANG1(),Yi-xin WANG1,Yang-qing DAN2,Ying-jing HE2,Hao WU1
1. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
2. Economic Research Institute of State Grid Zhejiang Electric Power Company, Hangzhou 310008, China
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摘要：

从矩阵消元的视角系统阐述在交直流系统电压稳定分析中雅克比矩阵的推导方法. 利用交流侧雅克比矩阵主导模态灵敏度的符号分布性质，定性分析直流不同控制方式对系统电压稳定裕度的影响规律. 将多种LCC-HVDC控制方式下的雅克比矩阵推导过程统一表示为对四阶雅克比矩阵的矩阵消元过程，从矩阵分析的角度统一LCC-HVDC电压稳定建模过程. 将交流戴维南等值电路雅克比矩阵主导模态的灵敏度具有符号分布性质的证明补充完整，据此定性分析不同控制方式的直流系统接入受端交流网络后系统稳定裕度的变化趋势. 通过Cigre标准系统算例验证所提方法的有效性.
关键词： 直流多馈入系统;  静态电压稳定性;  雅克比矩阵;  控制方式;  灵敏度    
Abstract:

The derivation method of the Jacobian matrix in voltage stability analysis of AC/DC power systems was systematically elucidated from the perspective of matrix elimination. The sign distribution property of the dominant modal sensitivity of the AC-side Jacobian matrix was utilized to qualitatively analyze the impact of different control modes of LCC-HVDC on the system voltage stability margin. Firstly, the Jacobian matrix derivation process under multiple LCC-HVDC control modes was uniformly expressed as the matrix elimination process of the fourth-order Jacobian matrix. Secondly, the complete proof of the sign distribution property of the dominant modal sensitivity of the Jacobian matrix in the AC Thevenin equivalent circuit was supplemented, based on which the change trend of the system stability margin at the receiving end AC system with different control modes was qualitatively analyzed. Finally, the effectiveness of the proposed method was verified by a Cigre standard system model.
Key words: multi-infeed DC system    static voltage stability    Jacobian matrix    control mode    sensitivity
收稿日期: 2022-03-02 出版日期: 2023-03-31
CLC:  TU 111  
基金资助: 国网浙江电力科技资助项目(2021ZK10)
作者简介: 王冠中（1990—），男，博士后，从事交直流电力系统动态分析研究. orcid.org/0000-0003-4587-8354.E-mail： eegzwang@zju.edu.cn
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王冠中
王奕鑫
但扬清
何英静
吴浩

引用本文:

王冠中,王奕鑫,但扬清,何英静,吴浩. 直流多馈入系统电压稳定主导模式定性分析[J]. 浙江大学学报(工学版), 2023, 57(3): 616-624.

Guan-zhong WANG,Yi-xin WANG,Yang-qing DAN,Ying-jing HE,Hao WU. Qualitative analysis of critical mode for voltage stability in multi-infeed DC system. Journal of ZheJiang University (Engineering Science), 2023, 57(3): 616-624.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2023.03.020    或    https://www.zjujournals.com/eng/CN/Y2023/V57/I3/616

图 1  LCC-HVDC单馈入系统准稳态模型
图 2  多馈入HVDC系统
图 3  本研究所提方法说明框图
控制方式 $ {J'_{{P_d}U}} $ $ {J'_{{Q_d}U}} $
CP-CEA 0 0.4830
CC-CEA 1.1032 ?0.3645
CP-CV 0 ?2.3664
CC-CV 0 ?2.3664
表 1  CIGRE标准直流测试系统在4种控制方式下的电压灵敏度计算结果
图 4  雅可比矩阵奇异性与短路比关系
图 5  不同控制下LCC-HVDC馈入系统交流电压响应
图 6  雅可比矩阵元素分布
图 7  两馈入系统时域仿真
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