Mine doesn't whine at all... though for a minute there, I wondered if you were just trying to trick me into getting my ear so close I got popped.
It clicks when it discharges... Is it possible it's a grounding issue? I have a 6' x 5/8" rod buried to the hilt and running #2 copper ground cable. Or could the electricity be 'off'? Neutral not bonded firmly or something to that effect?
Can't see the
video but assuming you mean a high-voltage animal type e-fence.
**an afterthought... put some death metal on full blast through your headphones for 2 weeks. Shouldn't be bothered by the whine anymore.**