The Coupling Fields Characteristics of Cable Joints and Application in the Evaluation of Crimping Process Defects
Abstract
:1. Introduction
2. The Coupling Field Analysis Model of Cable Joints under Crimping Process Defects
2.1. The Physics Fields Computation of Cable Joints
2.2. The Equivalent Model of Cable Joint under Crimping Process Defects
2.3. The Coupling Field Computation of Cable Joints under Crimping Process Defects
2.4. Example Calculation
3. Analysis of Thermal-Mechanical Characteristics under Crimping Process Defects
3.1. Analysis of Thermal Characteristics
3.1.1. The Influence of Contact Coefficient k
3.1.2. The Influence of Ambient Temperature Tamb
3.1.3. The Influence of Load Current I
3.2. Analysis of Stress Characteristics
3.2.1. The Influence of Contact Coefficient k
3.2.2. The Influence of Ambient Temperature Tamb
3.2.3. The Influence of Load Current I
4. Evaluation of Internal Defect States of Cable Joint under Crimping Process Defects
4.1. Evaluation Results and Analysis Based on Temperature Characteristic
4.2. Evaluation Results and Analysis Based on Stress Characteristic
5. Experimental Verification
5.1. Experiment Setup
5.2. Results and Discussion
6. Conclusions
- This paper establishes an electromagnetic-thermal-mechanical coupling analysis model based on the finite element method. The crimping process defects of cable joints are characterized by their contact resistances by solving the equivalent conductivity of the cable joint. Based on this model, the electromagnetic losses distribution, temperature distribution and stress distribution of a cable have been calculated.
- Based on this model, the coupling fields characteristics for different contact coefficients k, ambient temperatures Tamb and load currents I were analyzed, which indicates that the internal defects of cable joints can be evaluated.
- According to the thermal-stress characteristics of cable joints under internal defects, this paper uses the temperature difference ΔTf and stress difference Δσf of the cable surface to evaluate the internal defects of cable joints and proposes an evaluation method for internal defects of cable joints.
- Simplified cable joint experiments which can simulate the temperature distribution of the cable and perform different defects tests are done and they verify the accuracy of the coupling field analysis model proposed in this paper.
Acknowledgments
Author Contributions
Conflicts of Interest
Nomenclature
μ | permeability |
A | magnetic vector potential |
σ | conductivity of cable joint |
Js | applied current density |
ω | angular frequency |
σ20 | conductivity at 20 °C |
α | temperature coefficient |
T | temperature |
λ | thermal conductivity |
Qv | heat source per unit volume |
h | coefficient of convective heat transfer |
hr | coefficient of radiation heat transfer |
Tf | surface temperature |
Ta | temperature of air |
Tamb | ambient temperature |
n | normal vector |
σ0 | Stefan-Boltzmann constant |
ε | surface emissivity |
σ1 | conductivity of cable conductor |
σ2 | equivalent conductivity |
k | contact coefficient |
I | load current |
θ | stress tensor |
f | externally applied force |
ρ | material density |
u | displacement |
t | time |
γ | damping coefficient |
η | strain tensor |
ηE | elastic strain component |
ηTh | thermal strain component |
D | strain coefficient |
α | linear expansion coefficient |
E(T) | young’s modulus |
υ | Poisson’s ratio of material |
ΔTf | surface temperature difference |
Δσf | stress difference |
Tbf | surface temperatures of cable body |
Tjf | surface temperatures of cable joint |
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Equation | |
Parameters | A = 0.06123 B = 66.23295 C = 1051.6936 D = 414.48237 E = 5.62593 F = −3.13981 |
Correlation coefficient | 0.99115 |
Equation | |
Parameters | A = 0.0052 B = 5.16572 C = 1041.9008 D = 411.43753 E = 6.06807 F = −4.33966 |
Correlation Coefficient | 0.9965 |
Conduction Modes | Minimum Heating Power/W | Maximum Heating Power/W |
---|---|---|
Single conductor on | 25 | 900 |
Four conductors on | 100 | 3600 |
Seven conductors on | 170 | 6300 |
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Yang, F.; Liu, K.; Cheng, P.; Wang, S.; Wang, X.; Gao, B.; Fang, Y.; Xia, R.; Ullah, I. The Coupling Fields Characteristics of Cable Joints and Application in the Evaluation of Crimping Process Defects. Energies 2016, 9, 932. https://doi.org/10.3390/en9110932
Yang F, Liu K, Cheng P, Wang S, Wang X, Gao B, Fang Y, Xia R, Ullah I. The Coupling Fields Characteristics of Cable Joints and Application in the Evaluation of Crimping Process Defects. Energies. 2016; 9(11):932. https://doi.org/10.3390/en9110932
Chicago/Turabian StyleYang, Fan, Kai Liu, Peng Cheng, Shaohua Wang, Xiaoyu Wang, Bing Gao, Yalin Fang, Rong Xia, and Irfan Ullah. 2016. "The Coupling Fields Characteristics of Cable Joints and Application in the Evaluation of Crimping Process Defects" Energies 9, no. 11: 932. https://doi.org/10.3390/en9110932