基于平衡理论的双端柔性直流输电系统降阶小信号建模

doi:10.12204/j.issn.1000-7229.2020.09.013

电力建设 ›› 2020, Vol. 41 ›› Issue (9): 115-123.doi: 10.12204/j.issn.1000-7229.2020.09.013

基于平衡理论的双端柔性直流输电系统降阶小信号建模

李珅¹, 颜云松², 李晗³, 李先允³, 王书征³, 王建宇³, 陈永华²

1.诺森比亚大学工程与环境学院,英国纽卡斯尔 NE1 8ST
2.南瑞集团有限公司(国网电力科学研究院有限公司),南京市 211106
3.南京工程学院电力工程学院,南京市 211167

收稿日期:2020-01-03 出版日期:2020-09-01 发布日期:2020-09-03
通讯作者: 王书征
作者简介:李珅(1992),男,硕士研究生,主要研究方向为柔性输配电技术;|颜云松(1981),男,高级工程师,主要研究方向为电力系统安全稳定控制;|李晗(1994),男,硕士研究生,主要研究方向为电力系统运行与控制;|李先允(1964),男,博士,教授,主要研究方向为电力系统运行与控制;|王建宇(1994),男,硕士研究生,主要研究方向为新能源发电与并网技术;|陈永华(1979),男,高级工程师,主要研究方向为电力系统安全稳定控制。
基金资助:
国家重点实验室开放课题研究项目(SGNR0000GZJS1808091);江苏省重点研发计划资助项目(BE2018130);江苏省配电网智能技术与装备协同创新中心开放基金项目(XTCX201905);江苏省配电网智能技术与装备协同创新中心开放基金项目(No.SJCX18_0576)

Reduced-Order Small-Signal Model of Double-Terminal Flexible DC Transmission System Applying Equilibrium Theory

LI Shen¹, YAN Yunsong², LI Han³, LI Xianyun³, WANG Shuzheng³, WANG Jianyu³, CHEN Yonghua²

1. Faculty of Engineering & Environment, Northumbia University, Newcastle NE1 8ST, UK
2. NARI Group Corporation(State Grid Electric Power Research Institute),Nanjing 211106, China
3. School of Electric Power Engineering, Nanjing Institute of Technology, Nanjing 211167, China

Received:2020-01-03 Online:2020-09-01 Published:2020-09-03
Contact: WANG Shuzheng
Supported by:
Open Research Project of State Key Laboratory(SGNR0000GZJS1808091);Jiangsu Province Key R&D Program(BE2018130);Jiangsu Province Distribution Network Intelligent Technology and Equipment Collaborative Innovation Center Open Fund Project(XTCX201905);Jiangsu Province Graduate Practice Innovation Project(No.SJCX18_0576)

摘要/Abstract

摘要：

为了提高直流输电系统小扰动稳定性分析计算效率,建立了直流输电系统小信号降阶模型。文章以双端直流输电系统为研究对象,首先建立了双端柔性直流输电系统小信号模型,然后基于平衡理论将系统状态量按Hankel奇异值数目排序进行阶数选择,经过矩阵变换实现小信号模型的降阶。通过计算全阶系统和降阶系统的主导特征根变化轨迹,验证了降阶系统与全阶系统具有一致的小扰动稳定性。仿真结果表明,降阶前后具有相似的动态响应,验证了降阶模型的准确性。在复杂网络环境下,基于平衡理论的降阶方法不仅减小模型复杂度、提高了计算效率,还可对系统的稳定性进行预判。

关键词: 小信号模型, 平衡理论, 模型降阶, 柔性直流输电

Abstract:

In order to improve the calculation efficiency of small-signal stability analysis of DC transmission system, a small-signal reduced-order model of DC transmission system is established. Taking the two-terminal flexible DC transmission system as the research object, this paper firstly establishes the small-signal model of the two-terminal flexible DC system, and then selects the order of the system state variables according to the number of Hankel singular values on the basis of the equilibrium theory, and realizes the reduction of the small-signal model through matrix transformation. By calculating the dominant eigenvalue trajectories of the full-order system and the reduced-order system, it is verified that the reduced-order system and the full-order system have the same small-disturbance stability. The simulation results show that there is a similar dynamic response before and after the order reduction, which verifies the accuracy of the reduced-order model. In the face of complex networks, the order reduction method based on equilibrium theory can not only reduce the complexity of the model and improve the computational efficiency, but also predict the stability of the system.

Key words: small-signal model, equilibrium theory, model reduction, flexible DC transmission

中图分类号:

TM721.1

李珅, 颜云松, 李晗, 李先允, 王书征, 王建宇, 陈永华. 基于平衡理论的双端柔性直流输电系统降阶小信号建模[J]. 电力建设, 2020, 41(9): 115-123.

LI Shen, YAN Yunsong, LI Han, LI Xianyun, WANG Shuzheng, WANG Jianyu, CHEN Yonghua. Reduced-Order Small-Signal Model of Double-Terminal Flexible DC Transmission System Applying Equilibrium Theory[J]. ELECTRIC POWER CONSTRUCTION, 2020, 41(9): 115-123.

图/表 10

图1 双端柔性直流输电等值网络拓扑

Fig.1 Two-terminal DC transmission system

图2 VSC控制图

Fig.2 Control block diagram of VSC

图3 直流线路T型等效模型

Fig.3 T-type equivalent model of DC transmission line

表1 Hankel奇异值计算结果

Table 1 Calculation of Hankel singular value

表2 双端柔性直流输电系统参数表

Table 2 Parameter table of two-terminal DC transmission system

图4 降阶模型与精确模型阶跃响应波形对比

Fig.4 Comparison of step response waveforms between reduced-order model and accurate model

表3 最大绝对误差及平均误差计算结果

Table 3 Calculation results of maximum absolute error and average error

图5 降阶模型与全阶模型主导特征根变化轨迹

Fig.5 Dominant eigenvalue trajectories of reduced-order model and full-order model

图6 kpdo阶跃变化下有功功率波形

Fig.6 Active power waveform with step change of kpdo

图7 kpdo阶跃变化下直流电压波形

Fig.7 DC voltage waveform under step change of kpdo

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基于平衡理论的双端柔性直流输电系统降阶小信号建模

Reduced-Order Small-Signal Model of Double-Terminal Flexible DC Transmission System Applying Equilibrium Theory

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