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TEMagn2: Transient eddy currents in a two-wire line

This is an example of the two-wire line simulation, performed with QuickField software.

Problem Type:

Plane problem of transient magnetics.

Geometry:

two-wire line model

Transmission line consists of two copper conductors with equal but opposite currents. All dimensions are in millimeters.

Given:

Magnetic permeability of air μ = 1;
Magnetic permeability of copper μ = 1;
Conductivity of copper g = 56,000,000 S/m;
Voltage applied U = 0.001 V;

Problem:

Calculate the transient currents within the conductors.

Solution:

The resistance of one conductor can be calculated as Rcond = l / (g · S),
where
    S = πr2 - cross-section area of conductor,
    r - radius of conductor,
    l - length of the line.

Rcond = 1 / (56106  (π0.00012)) = 0.5684 Ohm

The resistance of both conductors is R = 2Rcond = 20.5684 = 1.1368 Ohm

The inductance of the transmission line can be calculated as L = μ0l/π  (ln(D/r) + 0.25), where
   D - distance between conductors.
L = 4π10-71/π  (ln(0.02/0.0001) + 0.25) = 2.21910-6 Hn

The transient current for equivalent electric circuit with lumped parameter is described by the formula
I(t) = U/R · (1 - e-t/T), where T=L/R - characteristic time of the circuit.

RL equivalent circuit of the two-wire line

Results:

Download PDF icon View simulation report in PDF.

Download icon Download simulation files (files may be viewed using any QuickField Edition).

There are no restrictions applied to the QuickField Student Edition postprocessors.
You can view field maps, make plots, calculate integrals and print pictures in the same way that the Professional Edition users do.