I read the Wikipedia article on Active Noise Control. The third paragraph under Explanation: https://en.wikipedia.org/wiki/Active_noise_control#Explanati... mentions that if it's at the source, it needs to be just as loud as the source (as opposed to being by the ear, in which case even a whisper might be enough).
In addition to being as loud as the source, you need to blast it in all directions. So I guess it's hard/impossible to perfectly hit the same sound waves in all directions. If you ever miss, you'll just be doubling the noise.
Maybe that's why you'll be hard-pressed to find anything in a fixed installation that uses active noise cancellation at the source - even if it's heavy, periodic, and uses a lot of power anyway - such as a home air conditioner. Noise cancellation close to the ear seems much easier for this reason, and maybe at the source it's just impossible.
Buuuut... that’s not really viable for anything civilian or even commercial.
(There existence is still not officially acknowledged of course, but many pictures exist.)
I was very curious about the technology they used to reduce the noise, as black hawks are very loud.