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

doi:10.11930/j.issn.1004-9649.202509059

Abstract

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

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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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202509059

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

Figures/Tables 11

Fig.1 Equivalent Circuit Model of Cable

Fig.2 Equivalent capacitance circuit model of cable

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

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

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

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

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

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

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

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

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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