Originally posted by: DrPizza
An interesting sidenote: The nerve impulses in the human body are most susceptible to AC current at 60 Hz... we unfortunately chose the frequency that is the most dangerous to ourselves. 70 Hz or 50 Hz would be less likely to cause ventricular fibrillation.
I've also heard that mentioned DrP. It was only anecdotal but when the story was passed on to me it was given as "50Hz" (our local supply frequency) being the worst case.
Anyway, back to the issues of AC power distribution and associated losses versus frequency and I?ve been re-thinking my earlier assessment that
transformer Iron loss would be a significant problem with using higher mains frequency. Actually I now believe that transformers would operate better, not worse, with somewhat higher frequency. The reason is that although the losses
definitely increase for a given working magnetic flux level (often caused ?excitation? level), with higher frequency you can reduce this magnetic flux level and ,given the same volume of Iron, still maintain the same power throughput (and even increase it somewhat).
Eddy current losses are proportional to the square of (flux_level * frequency), so if you double the frequency but half the excitation then you are no worse off, and that's even if you don't change to transformer materials more suitable for higher frequency operation. Now the AC power that a transformer can convert (that is, the throughput) is also proportional the working flux_level * frequency, so doubling the frequency while halving the working flux level doesn?t hurt you there either.
Now the case of hysteresis is a little more interesting. I now believe you are actually going to be
better off here at higher frequencies, even though this may at first seem
paradoxical, given that the hysteresis power loss equals the area of the hysteresis loop
multiplied by the frequency.
However, the area of the hysteresis loop is proportional to the flux level to some power greater than 1 but less than 2 (this is an empirical formula). From memory an exponent of about
1.6 is typical for common transformer steel. So if the frequency were doubled but the excitation (that is, flux level) halved then the hysteresis loss would be something like
(0.5)^1.6 * 2 which is only about two thirds the as much as at the lower frequency.
So what's the reason we only use 50/60 Hz. Hmmm, I'm now starting to think that it may be more to do with ease of generating, particularly in relation to required turbine speeds and synchronization, than it is with transmission problems. Though admittedly I haven't looked closely at just how significant skin effect is in the transmission side of things. Given the improvements in magnetic materials, conductors and aspects of the power generation I am now inclined to think that if the power grid system were just now being redesigned from scratch then they probably would go for a slightly higher frequency (and possibly an AC DC hybrid)..