Borek said:
I can't find any estimates of the step voltages, but if they are high enough to kill, they should be able to trip the plant, don't they?
It takes surprisingly little to upset an instrument and cause a partial trip signal.
We found no damage to any of the instruments involved.
They operate on a one to five volt signal, derived from a 4-20 milliamp current loop.
So if , via the Earth grounding scheme,
just a couple volts were induced into a signal line, a trip circuit actuation is in theory possible.
It's a "two channels out of three must agree" to actually trip the plant
and the two channels on that side of the control room nearest the strike agreed.
BiotSavart, long straight wire: B= \frac{μ_{0}I}{2\pi a} , a being distance from the wire
in center of the loop perhaps 15 meters from lightning rod earthing conductor
B = \frac{4\pi\times10^{-7}\times30,000}{2\pi\times15} = 0.4 milliwebers/m
2 , which X 100 square meters yields \Phi = 40 milliwebers
not much flux
but when you consider it all appeared in maybe ten microseconds
[STRIKE]d\Phi/dt = 400 webers per second[/STRIKE]
[STRIKE]which in one turn induces 400 volts.[/STRIKE]
oops!
d\Phi/dt = 40 milliwebers / 10μsec = 40X10
-3/10
-5 = 4000 webers/sec
which in one turn induces 4 kilovolts
I found a newer reference on lightning than the old book i had at the time, which was from 1950's.
It suggests lightning di/dt in range of a few hundreds of kiloamps per microsecond
With respect to the current steepness, positive lightning can be omitted because the current normally does not have a high rate-of-rise. The highest current steepness is found in nega
tive subsequent stroke as can be seen from Fig. 13.
The average current steepness between the 30 % and the 90 % current level of negative subsequent strokes is about 200 kA/μs.
http://www.iclp-centre.org/pdf/Invited-Lecture-3.pdf
which of course gives higher result than [STRIKE]the 400[/STRIKE] i got above.
But the absence of damage suggested actual transient voltage presented to the instruments was [STRIKE]somewhat [/STRIKE] quite a bit lower.
i hope my rusty old math is okay above,
further corrections are welcome.
old jim