# Corona Power Loss

In the previous topic, we learn about the corona effect due to which several losses occurs in transmission lines. These losses decrease the efficiency of transmission lines. Out of all the losses the corona power loss is the one which affects most, the proficiency of lines.

The power dissipated in the system due to corona discharges is called corona loss. Accurate estimation of corona loss is difficult because of its variable nature. It has been found that the corona loss under fair weather condition is less than under foul weather conditions. The corona loss under appropriate weather conditions is given below by the Peek’s formula;

P_{c} – corona power loss

f – frequency of supply in Hz

δ – air density factor

E_{n} – r.m.s phase voltage in kV

E_{o} – disruptive critical voltage per phase in kV

r – radius of the conductor in meters

D – spacing between conductors in meters

It is also to be noticed that for a single –phase line,

E_{n}=1/2×line voltage

and for a three phase line,

E_{n} = 1/(√3)×line voltage

Peek’s formula is applicable for decided visual corona. This formula the gives the inaccurate result when the losses are low and En/Eo is less than 1.8. It is superseded by Peterson’s formula given below;

P_{c} – corona power loss

f – frequency of supply in Hz

E_{n} – voltage per phase

r – radius of the conductor

D – spacing between conductors in meters

Factor F is called the corona loss function. It varies with the ratio (En/Eo). Eo is calculated by the formula given below,

G_{o} – maximum value of disruptive critical voltage gradient in V/m.

m_{o}= irregularity factor