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面向配电网的π形等效电路链形网络级联数目确定方法
作者:
作者单位:

1.中国石油大学(华东)新能源学院,山东省青岛市 266580;2.国网湖北省电力有限公司电力科学研究院, 湖北省武汉市 430077;3.山东科汇电力自动化股份有限公司,山东省淄博市 250101

作者简介:

李广(1994—),男,硕士研究生,主要研究方向:配电网故障检测。E-mail: lig2017@126.com
薛永端(1970—),男,通信作者,博士,教授,博士生导师,主要研究方向:配电网故障检测。E-mail: xueyd70@126.com
杨帆(1982—),男,博士,高级工程师,主要研究方向:配电运检及故障检测与诊断技术。E-mail: yangf_82@163.com

通讯作者:

基金项目:

国家自然科学基金资助项目(51477184);国网湖北省电力有限公司科技项目(521532170037)。


Method of Determining Cascading Number of π-Shaped Equivalent Circuit Chain Network Oriented to Distributed Network
Author:
Affiliation:

1.College of New Energy, China University of Petroleum (East China), Qingdao 266580, China;2.Electric Power Research Institute of State Grid Hubei Electric Power Co., Ltd., Wuhan 430077, China;3.Shandong Kehui Power Automation Co., Ltd., Zibo 250101, China

Fund Project:

This work is supported by National Natural Science Foundation of China (No. 51477184) and State Grid Hubei Electric Power Co., Ltd. (No. 521532170037).

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    摘要:

    配电网的物理模拟日益受到重视,其中传输线常使用π形等效电路链形网络模拟,如何经济且有效地搭建传输线模型十分重要。首先,文中给出了无损耗π形电路链形网络在不同级联数目时的输入阻抗表达式,明确其与无损耗均匀传输线之间相频特性的差异。然后,分析了π形电路链形网络与无损耗均匀传输线之间特性阻抗的幅频误差,发现当工作频率接近或超过前者对后者模拟的上限频率时,二者出现本质上的差异,且任意频率与上限频率之比仅与特性阻抗误差有关。以链形网络中每节π形电路均工作在其首次谐振频率以内为前提,可确定特性阻抗合理的误差范围,进一步得到适合配电网π形电路链形网络的合理级联数目。最后,通过对典型传输线参数进行计算及仿真,以及利用物理模拟系统试验结果进行对比,验证该方法的合理性与有效性。

    Abstract:

    Increasing attention has been paid to the physical simulation of the distribution network. The transmission line often adopts the π-shaped equivalent circuit chain network in simulation. It is very important how to construct the transmission line model economically and effectively. Firstly, this paper gives the input impedance expressions of the lossless π-shaped circuit chain network with different cascading numbers, and clarifies the difference in phase-frequency characteristics between the chain network and the uniform transmission lines without losses. Then, the amplitude-frequency error of the characteristic impedance between the π-shaped circuit chain network and the uniform transmission line without losses is analyzed. It is found that when the operation frequency approaches or exceeds the upper limit frequency, with which the π-shaped circuit chain network simulate the uniform transmission line without losses, the two are essentially different. The ratio of any frequency to the upper limit frequency is only related to the characteristic impedance error. Each π-shaped circuit in the chain network is premised on working within its first resonant frequency, so that the reasonable error range of the characteristic impedance can be determined. Furthermore, the reasonable cascading number which is suitable for π-shaped circuit chain network of the distribution network can also be obtained. Finally, through the calculation and simulation of typical transmission line parameters and comparing the experimental results of physical simulation system, the method is verified to be reasonable and effective.

    表 1 不同级联数目的电路谐振角频率与首次谐振角频率的比值Table 1 Ratio of resonant angular frequency with different cascading numbers to thefirst resonant angular frequency
    图1 末端开路时π形等效电路Fig.1 π-shaped equivalent circuit when end is open
    图2 不同级联数目的链形网络与均匀传输线相频特性Fig.2 Phase-frequency characteristics of chain networks with different cascading numbers and uniform transmission lines
    图3 特性阻抗误差系数的频率特性Fig.3 Frequency characteristics of characteristic impedance error coefficient
    图4 不同级联数目的特性阻抗误差系数频率特性Fig.4 Frequency characteristics of characteristic impedance error coefficients with different cascading numbers
    图5 有损耗均匀传输线的频率特性Fig.5 Frequency characteristics of uniform transmission lines with losses
    图6 物理模拟试验与仿真结果对比Fig.6 Comparison of physical simulation test and simulation results
    图7 故障点电流的幅频特性Fig.7 Amplitude and frequency characteristics of current at fault point
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引用本文

李广,薛永端,杨帆,等.面向配电网的π形等效电路链形网络级联数目确定方法[J].电力系统自动化,2020,44(5):180-186. DOI:10.7500/AEPS20190127009.
LI Guang,XUE Yongduan,YANG Fan,et al.Method of Determining Cascading Number of π-Shaped Equivalent Circuit Chain Network Oriented to Distributed Network[J].Automation of Electric Power Systems,2020,44(5):180-186. DOI:10.7500/AEPS20190127009.

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  • 收稿日期:2019-01-27
  • 最后修改日期:2019-07-15
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  • 在线发布日期: 2020-03-08
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