# Skin Effect in Transmission Lines: Causes, Factors

The skin effect in transmission lines is a phenomenon caused by an uneven distribution of current across the full cross section of the conductor used for long-distance power transmission.

# Skin Effect

The distribution of current over the cross-section of the conductor is uniform for dc only. An alternating current flowing through a conductor does not distribute uniformly but tends to concentrate near the surface of the conductor. In the case of an ac system, no current flows through the core, and the entire current is concentrated at the surface regions. As a result, the effective area of the conductor is reduced causing an increase in ac resistance. The effective ac resistance is usually referred to as the effective resistance of the conductor. This phenomenon is called the skin effect. The skin effect causes the concentration of current at the skin of the conductor.

## Why skin effect occurs?

For the determination of the skin effect, we consider a solid conductor composed of a large number of annular filaments, each carrying a fraction of the total current. The flux linkages due to the filaments lying at the surface link the whole of the conductor while the flux setup due to the inner filaments does not link with the surface or outer filaments. Thus the filaments near the center are of larger inductance than that near the outer surface.

The high reactance of the inner filaments causes the current to distribute in such a way that the current density is less in the interior of the conductor than at the surface. Hence the nonuniform distribution of current is shown in the fig B.

Skin effect increases with the increase in the frequencies. At low frequencies, the effect is very small. For commercial frequency of 50 Hz or less the increase in effective resistance is inappreciable for solid copper conductors up to 1 cm in diameter; about 2.5% for 2 cm diameter and 8 percent for 2.5 cm diameter. In the case of aluminum wire, the effect is the same as in copper wire of equal conductivity. The resistivity of copper is 0.6 times that of aluminum. The increased resistance due to the skin effect on an aluminum wire of a square mm in cross-section will be of the same percentage as on a 0.6 square mm in copper wire.

## Factors Affecting Skin Effect

The skin effect depends upon:

1. Type of material: Skin effect increases with the increase in the permeability of the material.
2. Frequency: Skin effect increases with the increase in the frequencies.
3. Diameter of conductor: The skin effect increases with the increase in the diameter of the conductor.
4. shape of conductor: The skin effect seen on the solid conductor is more due to the more surface area of the solid conductor while the skin effect is less in the stranded conductor.