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3-phase transmission line with grounding

QuickField simulation example

This is an example of the 3-phase transmission line with grounding simulation, performed with QuickField software.

Problem Type
Plane-parallel problem of AC magnetics.

Geometry
Line length L = 4 km.
3-phase transmission line with grounding This is an example of the 3-phase transmission line with grounding simulation, performed with QuickField software. 1.5 m 0.866 C A B Three phase transmission line * + - UA400phase:0 UB400phase:120 UC400phase:240 A B C R_A2 R_B2.5 R_C1 L0.002

Given
Copper conductor diameter d = 1 mm, conductivity of copper g = 56 MS/m.
Voltage U = 400 V (peak), frequency 50 Hz.
Resistances R_A = 2 Ohm, R_B = 2.5 Ohm, R_C = 1 Ohm;
Inductance L = 0.002 H.
Ground resistance 8 Ohm.

Task
Calculate currents in transmission line conductors.

Solution
For three phase system of voltage sources we should specify the same magnitude of the voltage source, but different phase shifts: 0°, 120°, 240°.

Result
Currents: phase A 136A∠-26.8°, phase B 102A∠90.5°, phase C 132A∠-162°.
Field distribution in 3-phase transmission line, animated picture