Abstract
Power lines are often placed in ground or sea water, which are weakly conductive media. In the paper, a new analytical formula, taking into account the proximity effect in a twin line placed in a weakly conductive medium, is derived, and the effect of the conductive medium is considered. In the first step, one of the wires is replaced by a current filament, and the solution is sought for magnetic vector potential around the filament. In the next step, an analytical formula for eddy currents induced in a long straight conductor of circular cross-section placed near to the current filament in the extensive conductive medium is found by using the method of separation of variables. The correctness of the formula is checked by comparison with the results obtained via other methods like finite and boundary element methods. Then, the effect of various parameters on the eddy current distribution is tested. Next, the proximity effect in a twin symmetrical line is considered, and the effect of the conductivity of the surrounding medium is investigated. The results indicate that the conductive medium weakens the proximity effect, but in typical cases (ground and sea water), the effect is very small.
Highlights
Round wires are often used in power and signal transmission
One of the first approaches was presented by Manneback [2], who developed an integral equation for skin effect in parallel conductors
In boundary element method (BEM) calculations, parabolic boundary elements with constant field approximation are used
Summary
The higher the electrical conductivity, magnetic permeability, cross-section radius, and frequency of currents in a wire, the less current passes through the central layers of the wire and more current passes in the superficial layers. This phenomenon is known as the skin effect and is a result of electromagnetic induction. If two or more conductors are placed in the vicinity, electromagnetic induction generates eddy currents in the neighboring wires, and the current density becomes disturbed. This is known as the proximity effect. The approach was later expanded in [4,5] and used to model power and signal lines with neighboring wires substituted
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
