基于改进多导体理论的城市输电系统稳态建模与损耗抑制

doi:10.11930/j.issn.1004-9649.202509059

中国电力 ›› 2026, Vol. 59 ›› Issue (3): 134-141.DOI: 10.11930/j.issn.1004-9649.202509059

基于改进多导体理论的城市输电系统稳态建模与损耗抑制

段肖力¹(), 刘三伟¹(), 喻婷¹(), 范翔宇¹(), 孙丁²(), 李华强²()

1. 国网湖南省电力有限公司电力科学研究院，长沙　410007
2. 西安交通大学，西安　710049

收稿日期:2025-09-25 修回日期:2026-01-18 发布日期:2026-03-16 出版日期:2026-03-28
作者简介:
段肖力（1973），男，通信作者，高级工程师，从事高电压技术研究，E-mail：Jokeduan@163.com
刘三伟（1990），男，博士，高级工程师，从事高压电缆运维新技术研究，E-mail：604208086@qq.com
喻婷（1996），女，硕士，高级工程师，从事高压电缆运维新技术研究，E-mail：1010417310@qq.com
范翔宇（1997），女，硕士，高级工程师，从事高压电缆运维新技术研究，E-mail：774602790@qq.com
孙丁（1999），男，硕士研究生，从事电缆绝缘技术研究，E-mail：sunding0324@qq.com
李华强（1981），男，博士，副研究员，从事电气绝缘技术研究，E-mail：lhqxjtu@qq.com
基金资助:
国家电网有限公司科技项目（5500-202323541A-3-2-ZN）。

Steady state modeling and loss suppression of urban transmission system based on improved multi conductor theory

DUAN Xiaoli¹(), LIU Sanwei¹(), YU Ting¹(), FAN Xiangyu¹(), SUN Ding²(), LI Huaqiang²()

1. State Grid Hunan Electric Power Co., Ltd. Electric Power Science Research Institute, Changsha 410007, China
2. Xi'an Jiaotong University, Xi'an 710049, China

Received:2025-09-25 Revised:2026-01-18 Online:2026-03-16 Published:2026-03-28
Supported by:
This work is supported by Science and Technology Project of SGCC (No.5500-202323541A-3-2-ZN).

摘要/Abstract

摘要：

针对城市地下输电系统运行中普遍存在的接地损耗偏高与护套电流风险问题，提出了一种改进多导体建模方法与智能阻抗补偿策略。在建模方面，将输电线路离散为微元段，基于传输线电报方程构建节点导纳矩阵，并引入含接地节点的矩阵级联算法，解决了传统传播矩阵在特征值重复场景下对角化失效的问题，实现了全系统电压与电流分布的高精度求解。仿真结果表明，所提方法能够将护套感应电压与循环电流的计算误差控制在1%以内，为输电系统运维中的实时优化与智能调控提供了技术支撑。

关键词: 城市输电系统, 多导体建模, 接地损耗优化

Abstract:

Aiming at the problems of high grounding loss and sheath current risk in urban underground power transmission system, an improved multi-conductor modeling and intelligent impedance compensation strategy are proposed. In the modeling aspect, the transmission line is discretized into micro-element segments, and the node admittance matrix is constructed based on telegrapher's equation, and the matrix-level cascade algorithm with grounding nodes is introduced to solve the problem of diagonalization failure of the conventional propagation matrix in the of repeated eigenvalues, and the high-precision solution of the voltage and current distribution in the whole system is realized. The simulation results show that the proposed method can control the calculation error sheath induced voltage and circulating current within 1%, and provide technical support for real-time optimization and intelligent control in the operation and maintenance of power transmission system.

Key words: urban transmission system, multi-conductor modeling, grounding loss optimization

段肖力, 刘三伟, 喻婷, 范翔宇, 孙丁, 李华强. 基于改进多导体理论的城市输电系统稳态建模与损耗抑制[J]. 中国电力, 2026, 59(3): 134-141.

DUAN Xiaoli, LIU Sanwei, YU Ting, FAN Xiangyu, SUN Ding, LI Huaqiang. Steady state modeling and loss suppression of urban transmission system based on improved multi conductor theory[J]. Electric Power, 2026, 59(3): 134-141.

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链接本文: https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202509059

https://www.electricpower.com.cn/CN/Y2026/V59/I3/134

图/表 11

图 1 电缆等效电路模型

Fig.1 Equivalent Circuit Model of Cable

图 2 电缆等效电容电路模型

Fig.2 Equivalent capacitance circuit model of cable

图 3 两电缆微元段的级联模型示意

Fig.3 Schematic diagram of cascading model of two cable micro element segments

表 1 输电电缆结构参数

Table 1 Structural Parameters of Transmission Cables 单位：m

参数	数值
线芯直径（铜）	0.0305
交联聚乙烯绝缘层直径	0.0622
护套直径（铝）	0.0724
聚乙烯外护套直径	0.0794

表 2 接地电缆结构参数

Table 2 Grounding Cable Structure Parameters 单位：m

参数	数值
线芯直径（铜）	0.0113
聚氯乙烯护套直径	0.0165

图 4 单端、两端与交叉互联接地方式下护套感应电压变化曲线

Fig.4 Induction voltage variation curve of the sheath under single ended, two ended, and cross connected grounding modes

图 5 单端、两端与交叉互联接地方式下护套循环电流变化曲线

Fig.5 The variation curve of sheath circulating current under single ended, two ended, and cross connected grounding modes

图 6 单端、两端与交叉互联接地方式下护套感应电压相对误差

Fig.6 Relative error of sheath induced voltage under single ended, two ended, and cross connected grounding modes

图 7 单端、两端与交叉互联接地方式下护套循环电流相对误差

Fig.7 Relative error of sheath circulating current under single ended, two ended, and cross connected grounding modes

表 3 3种接地方式下三相电缆护套关键参数统计

Table 3 Statistical summary of key parameters for three-phase cable sheaths under three grounding methods

接地方式	相别	最大感应电压/V	最大循环电流/A
单端接地	A 相	286.45	13.21
	B 相	301.52	14.57
	C 相	332.32	15.98
两端接地	A 相	0.48	1025.36
	B 相	0.51	1132.45
	C 相	0.56	1246.63
交叉互联接地	A 相	98.63	6.25
	B 相	105.87	6.83
	C 相	114.55	7.50

表 4 不同接地方式关键指标及计算误差汇总

Table 4 Summary of key indicators and calculation errors for different grounding methods

接地方式	单端接地	两端接地	交叉互联接地
最大感应电压/V	332.32	0.56	114.55
最大循环电流/A	15.98	1246.63	7.50
感应电压计算误差/%	0.63	0.82	0.51
循环电流计算误差/%	0.75	0.97	0.68

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基于改进多导体理论的城市输电系统稳态建模与损耗抑制

Steady state modeling and loss suppression of urban transmission system based on improved multi conductor theory

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基于改进多导体理论的城市输电系统稳态建模与损耗抑制

Steady state modeling and loss suppression of urban transmission system based on improved multi conductor theory

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