Then, calculate the energy dissipation in joules, for a cascaded SPD system where the primary whole house unit receives 10 kilojoules over 100 uSec, it clamps at 400 volts, and a branch SPD 100 feet away on a 15 ampere circuit with a 330 volt clamp.
For simplicity, assume the clamps are hard, it makes the integral easier to calculate.
jn
For those interested:
This is an example of cascaded coordination, where a whole house SPD is in the load panel, and a secondary one is at the equipment being protected.
A line transient coming in off the street tries to raise the voltage from the 120 volt sine to some ungodly value, like a kilovolt or more. It could be something as simple as your neighbor's 2 ton AC compressor unit shutting off, and both of you are 200 or 300 feet from the pole transformer.
Your whole house SPD clamps the spike to a level of 400 volts per design, and it is assumed that it is capable of withstanding the energy being pushed into it because it is clamping.
So the important thing here is, the event happens for 100 uSec, and for that length of time, the line voltage is 400 volts.
At the far end of the 100 foot long 15 amp branch circuit, there is an SPD with a clamp voltage of 330 volts. So, when the 400 volts at the panel try to raise the branch voltage, it clamps 70 volts lower at the device than the value at the panel. Because the romex is #14awg, it has 2.5 ohms per kilofoot, or .5 ohms total for 2 lengths of 100 feet.
The current that occurs in the branch circuit is therefore 70 volts of drop over .5 ohms of resistance, or 140 amps.
140 amps times 330 volts is 46,200 watts. Because the event lasts 100 microseconds, or 100/1000000 (one ten thousandth of a second), the total joules absorbed by the point of use SPD is the power in watts times the length of time. The branch spd absorbs 4.6 joules. (edit: I originally said 46, it's not.)
Contrast that against the 10 kilojoules I mentioned for the whole house unit. Without the whole house unit, the point of use SPD would have to clamp the entire spike by itself
This is the beauty of cascaded coordination. The whole house unit can be extremely robust, but you only need one. The point of use SPD's can be far less robust, because they will not see the huge energy dissipations of an unprotected line.
My other example asks for deriving the induced voltage caused by a near strike with a loop of wire. The point of use SPD, when it is a multiport design, combats this induced voltage by combining all the grounds of the equipment with the wire grounds in the very local area, thereby eliminating the induction voltage spike.
This is why I recommend both a whole house and point of use multiport SPD's, as the whole house cannot stop induction into wire loops in the house.
jn
ps. In the last 10 years, I have lost two devices to induction transients. The house across the street had a very tall evergreen tree (Blue spruce is what I'm guessing it is) hit with a bolt at it's top. It is about 50 feet from my house. I lost a DVD player and a smoke alarm, both on the second floor of the house, one in front, one in back.
The DVD player had it's AC power come in conduit on one side of the house, and the cable feed came up the opposite side, through the attic, then down to the DVD. That loop is what bit the device.
The smoke detector had the same, but it connected down to the basement where there was another detector, all the detectors are wired to alarm everywhere in the event one goes off. So it was bitten by induction as well.
No other devices were wired with such a wide loop. The master bedroom I ran all the wires personally during a reno, and made sure there were no large loops between the cable feed and the AC power distribution. This time, I was the windshield....not the bug.