Surrogate Model-based Fast Calculation of Power Cable Temperature Field: Method and Application

doi:10.11930/j.issn.1004-9649.202306070

Abstract

Abstract:

Accurately predicting the temperature inside cables is crucial for effective cable management. However, this process can be time-consuming through numerical calculations and experimental measurements. To address this issue, a new method for constructing surrogate model based on multi-physics field simulation data is proposed to calculate the cable's internal temperature field quickly and accurately. A single-core 110 kV high-voltage cable is taken as a study subject. Firstly, the Latin hypercube design and the Latin hypercube method optimized by the maximum-minimum idea are compared in constructing the sample space. The optimal sampling scheme is selected to construct the surrogate mode through RBF neural network, and a temperature data set is created for testing using ambient temperature and load capacity. Additionally, the surrogate model is optimized by the particle swarm algorithm, and the temperature field distribution is visualized with the grid node data. The calculation result of the internal temperature of the 110 kV single-core high-voltage cable shows that the proposed surrogate model-based fast calculation method for power cable temperature field has high accuracy and efficiency.

Key words: surrogate model, power cable, finite element simulation, fast calculation

Li HUANG, Yun LIANG, Hui HUANG, Xiaoyan SUN, Shan WANG, Yuqiang YANG. Surrogate Model-based Fast Calculation of Power Cable Temperature Field: Method and Application[J]. Electric Power, 2024, 57(5): 178-187.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202306070

https://www.electricpower.com.cn/EN/Y2024/V57/I5/178

Figures/Tables 16

Fig.1 Topological structure of RBF neural network

Fig.2 Flow chart of PSO-RBF algorithm

Fig.3 Flow chart of the surrogate model

Fig.4 Power cable structure

Table 1 Parameters of power cable structure

序号	结构名称	标称厚度/mm	标称外径/mm
1	导体	—	29.9
2	导体屏蔽	1.35	32.6
3	交联聚乙烯绝缘	16.50	65.6
4	绝缘屏蔽	1.00	67.6
5	半导电缓冲阻水带	5.50	78.6
6	皱纹铝护套	6.70	92.0
7	PVC护套	4.50	101.0

Fig.5 3 D finite element section of power cable model

Table 2 Material parameters for simulating solid heat transfer field

材料	导热系数/ (W·(m·K)^–1)	密度/ (kg·m^–3)	比热容/ (J·(kg·K)^–1)
导体	400.000	8960	385
导体屏蔽	0.160	950	1005
交联聚乙烯绝缘	0.288	1200	2302
绝缘屏蔽	0.160	950	1005
半导电缓冲阻水带	0.190	520	1720
皱纹铝护套	238.000	2700	900
PVC护套	0.167	1380	2100

Fig.6 Distribution of power cable loss density

Fig.7 Temperature distribution inside power cable under different loading currents

Fig.8 Power cable temperature variation under different load capacities

Fig.9 Power cable temperature variation under different ambient temperatures

Fig.10 Different latin hypercube designs

Fig.11 Calculation results and RMSE of the RBF surrogate model

Fig.12 Calculation results and RMSE of the PSO-RBF surrogate model

Table 3 Comparison of the computation time of 3 methods

方法	CPU计算时间/s	效率提升/%
RBF	4.256363	88.18
PSO-RBF	5.292270	85.30
FEM	36.000000	—

Fig.13 Temperature distribution calculated by three methods

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