An Approach for Modelling Harnesses in the Extreme near Field for Low Frequencies
Abstract
:1. Introduction
2. Near-Field Approximations Very Close to the Dipole Source
2.1. Near Field Representation of Harnesses in the Low-Frequency Domain
2.2. Considerations for Observation Distances Comparable to the Cable’s Length
- Single Dipole Case: is when the electric field is evaluated from Equations (1)–(3), considering that the source (cable) is one dipole with length equal to the cable length.
- Segmented Cable Case: is when the electric field is evaluated from the superposition of the electric fields of N segment dipoles, each has a length equal to L/N laying consecutively on the cable path with its center at −L/2 + L/2N + i*L/N (i = 0, …, N − 1), and contributing to the total field with its segment field calculated from (1)–(3).
- Single Dipole Case with Near Field Approximation: is when the electric field is evaluated from Equations (4)–(6), considering that the source (cable) is one dipole with length L equal to the cable length.
- Segmented Cable Case with Near Field Approximation: is when the electric field is evaluated from the superposition of the electric fields of N segment dipoles, each having a length equal to L/N, laying consecutively on the cable path with its center at −L/2 + L/2N + i*L/N (i = 0, …, N − 1), and contributing to the total field with its segment field calculated from (4)–(6).
3. Application of the Segmentation Technique in Complex Geometries
- Input (observation point coordinates)
- Input (cable segments start/endpoint coordinates)
- Input (current distribution)
- For i = 1 to number of segments
- Calculate mid-point coordinates for segments i,
- Calculate mid-point—observation point distance
- end
- set reference point coordinates equal to the coordinates of the mid-point with the minimum distance.
- Calculate ratio parameter.
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Baklezos, A.T.; Kapetanakis, T.N.; Vardiambasis, I.O.; Capsalis, C.N.; Nikolopoulos, C.D. An Approach for Modelling Harnesses in the Extreme near Field for Low Frequencies. Appl. Sci. 2022, 12, 3202. https://doi.org/10.3390/app12063202
Baklezos AT, Kapetanakis TN, Vardiambasis IO, Capsalis CN, Nikolopoulos CD. An Approach for Modelling Harnesses in the Extreme near Field for Low Frequencies. Applied Sciences. 2022; 12(6):3202. https://doi.org/10.3390/app12063202
Chicago/Turabian StyleBaklezos, Anargyros T., Theodoros N. Kapetanakis, Ioannis O. Vardiambasis, Christos N. Capsalis, and Christos D. Nikolopoulos. 2022. "An Approach for Modelling Harnesses in the Extreme near Field for Low Frequencies" Applied Sciences 12, no. 6: 3202. https://doi.org/10.3390/app12063202
APA StyleBaklezos, A. T., Kapetanakis, T. N., Vardiambasis, I. O., Capsalis, C. N., & Nikolopoulos, C. D. (2022). An Approach for Modelling Harnesses in the Extreme near Field for Low Frequencies. Applied Sciences, 12(6), 3202. https://doi.org/10.3390/app12063202