Does any body know how to calculate the shield angel of a transmission line?



Answer:
The accepted industry practice is ±30° from the shield wire.

Typically, transmission lines are protected by ground or shield wires located above the phase conductors. These wires are placed above the phase conductors in a position to “shield” the phase conductors from direct lightning strokes.

These wires act as a "continuous lightning rod" along the circuit. Unfortunately, shield wires only protect against a direct lightning strike. Nearby lightning strikes often induce large over-voltage conditions on to the line. Ultimately the over-voltage causes a flashover on the line.

MOV arresters have been used in lieu of shield wires for years. Arresters are beginning to be used on transmission circuits to either supplement or eliminate the shield wire.
I would wager surface charge over area (radial distance) not to exceed the breakdown voltage of humid air.
Would this be an archangel? [arc angel ;-) ]

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