Noisy transformer

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the DC problem, if it exists, could be before the pole transformer.

Before you say transformers can't transfer DC, then think about what makes the saturation happen.
It is the non equal waveform envelopes in the +ve and -ve halves of the nearly sinusoidal signal.
Second harmonic as an example has lots of asymmetry in the waveform.
If that asymmetry resulted in unequal +ve & -ve (upper and lower) areas then the core sees an accumulation of flux in one direction and that eventually results in saturation in one direction. It's the unequal areas that gives the effect of DC.
That DC effect changes second by second. That also explains why it is intermittent and why when listening to it one can hear the hum changing on the fly.
 
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Thanks for explaining. It sounds plausible, but I would (perhaps mistakenly) guess that the utility has pretty sophisticated control monitoring for losses. It doesn't sound good for other electrical appliances in the home either. I'm just hypothesizing all this, though.
 
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