Analyses of Harmonic Transmission Characteristics of Half-wavelength AC Transmission Line Based on Pole Distribution Feature of Frequency-length Factor

ZHOU Shengjun; CHEN Chang; TAN Meng; YANG Honggeng; YU Yongjun

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Analyses of Harmonic Transmission Characteristics of Half-wavelength AC Transmission Line Based on Pole Distribution Feature of Frequency-length Factor

更新时间：2025-12-08

- Analyses of Harmonic Transmission Characteristics of Half-wavelength AC Transmission Line Based on Pole Distribution Feature of Frequency-length Factor
- Vol. 44, Issue 1, Pages: 51-58(2018)
- 作者机构：
  
  1. 全球能源互联网研究院先进输电技术国家重点实验室
  2. 四川大学电气信息学院
  3. 国网新疆电力公司电力科学研究院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published Online：31 January 2018，
  
  Published：2018
- 稿件说明：
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ZHOU Shengjun, CHEN Chang, TAN Meng, et al. Analyses of Harmonic Transmission Characteristics of Half-wavelength AC Transmission Line Based on Pole Distribution Feature of Frequency-length Factor[J]. 2018, 44(1): 51-58.
DOI：

ZHOU Shengjun, CHEN Chang, TAN Meng, et al. Analyses of Harmonic Transmission Characteristics of Half-wavelength AC Transmission Line Based on Pole Distribution Feature of Frequency-length Factor[J]. 2018, 44(1): 51-58. DOI：

摘要

线路分布参数特性容易在长线路交流输电中引起（间）谐波放大问题。为了分析半波长输电线路的（间）谐波传输特征

提出基于频长因子的有损半波长交流输电线路频率特性分析方法;通过逐次化简

确定以频率和线路长度乘积作为参变量的有损交流输电线路等效（间）谐波传输计算模型。基于计算模型推导

确定了谐波电压注入有损半波长线路引起的末端谐波电压放大规律;研究频长因子极点分布特征以确定谐振频率;求取谐振幅值包络线以确定各次间谐波不放大的临界条件。为了确定（间）谐波电流注入有损半波长交流输电线路引起的末端（间）谐波电压放大规律

提出参考阻抗为基准的（间）谐波电压放大判别方法。提出的计算模型能够确认

始端的谐波电压、电流注入在任何运行情况下均不会在有损半波长输电线路末端产生谐波电压放大;部分间谐波会出现谐振;线路损耗和负荷情况满足不放大条件时各次间谐波不会放大

否则部分间谐波会放大。PSCAD仿真与模型计算结果之间的误差<2%

证明了模型的正确性。

Abstract

Distributed parameters characteristics of long-distance transmission lines are easy to cause（inter） harmonic amplification.We propose a method for analyzing frequency characteristics of lossy half-wavelength AC transmission lines based on the frequency-length factor in order to analyze the（inter） harmonic transmission characteristics of half wavelength transmission lines.An equivalent（inter） harmonic transmission calculation model of lossy transmission line which takes the product of frequency and line length as a variable is built through successive simplification.Based on the calculation model

the amplification rules of the end harmonic voltage caused by the injected harmonic voltage were determined.The characteristics of poles distribution of frequency-length factor are also studied to find the resonant frequency.The envelopes of the resonance amplitude are calculated so as to determine the critical condition of the inter harmonics.Moreover

in order to determine the（inter） harmonic voltage amplification at the remote end caused by the injected（inter） harmonic current at the sending end of a lossy half-wavelength AC transmission line

a method to analyze the（inter） harmonic voltage amplification based on the reference impedance is proposed.It proves that the harmonic voltage or current source which is injected into the sending end of the lossy half-wavelength transmission line does not produce the harmonic voltage amplification at the remote end considering any system operation mode

and the problem of resonance occurs in some inter harmonics.When the line loss and load condition meet the criteria of no amplification

the inter harmonics will not be enlarged

otherwise

some of them will be enlarged.Calculation errors between the PSCAD simulation and the model calculation are less than 2%

which proves the correctness of the model.

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