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more power through the coil allowed the use of a larger plug gap
Absolutely true.
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Larger plug gap gives a larger flame front at the point of ignition
It gives a larger spark length, but not necessarily a larger flame front. Flame propagates much like a balloon or bubble, with the spark at the center. Increasing the size of the origin of the flame kernel won't make the kernel bigger. Instead I would say it gives more
opportunity for ignition in turbulent conditions.
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gives faster ignition to the air fuel mix
I'm pretty confident that's wrong. I'm pretty sure flame propagation speed is fixed based on things like RPM, compression, overlap, swirl. I don't know of anything you can do to the ignition system that will increase the flame propagation speed (aside from twin plugs, which isn't even increasing flame speed either, it's just starting two fires at the same time and letting them expand toward each other).
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Same theory as using twin plugs
Not the same theory. Two flame fronts is WAY different than one.
Maybe a better example is if you had a 1 acre field of dry grass. (no wind, or other outside forces) If you were to ignite the field in two places, 2 or 3 or 4 or 10 feet apart, the field would burn at roughly the same rate. But if you ignite the field from opposite sides, then you can clearly see that the total burn time would be far less.
My understanding is that there are two common issues that ignition systems encounter:
1. Low RPM instability: At low rpm the air-fuel mixture is moving fairly slowly. There is less swirl in the combustion chamber, there is less efficiency at low RPM so you're not getting reliable exhaust expulsion nor intake suction. The fuel has more time to fall out of suspension and form droplets.
2. High Compression instability: At high compression ratios it's harder for the spark to jump the gap because of the density of the air (maybe you could say there's more air molecules that the spark has to push past). Also, on turbo applications (maybe high compression motors as well) there is a possibility for the higher charge swirl (turbulence) to literally blow out the spark like a candle.
Low RPM instability can cause misfires if the spark event happens at an inopportune time, when the swirl effect has just happened to pull the fuel particles out of reach of the spark. Especially at low RPM the air-fuel mixture is NOT homogeneous. There are areas of greater and lesser AFR. If the spark plug fires when there's no fuel around, it misfires (no ignition). Adding length to the spark would
mildly improve the chances of avoiding that situation. Multiple sparks on one plug
greatly increase the chances of avoiding that situation by trying multiple times, one of which is likely to catch. Twin plug will also
greatly increase the chances for ignition. Simply increasing spark voltage will do nothing to increase the chances of ignition. Remember there is no such things as a 'hotter' spark.
High compression instability is clearly a case for increasing spark voltage. If the spark plugs are failing to fire because of charge density, increasing voltage will absolutely increase the reliability of the spark jumping the gap. If the spark is being blown out, a higher voltage will add stability to the arc in those turbulent conditions.
The KEY to all I'm saying is that
if a basic coil is igniting reliably, increasing anything in the ignition setup won't do anything (aside from multiple spark).
Okay, the campfire example isn't perfect. But "damp wood, wind, rain and other things" would be examples of factors that make igniting unreliable and would therefore be example of when my assertion recommends upgrading ignition components.