Was thinking a bit more about this, as I might have a use for isolated voltage measurements myself in the future, so here's some sample numbers:
If you set up a circuit like I described before and can get the equivalent-RL-circuit of transformer's leakage inductance and winding resistance (as these limit the ramp-up time for the voltage on the other side) to settle in, let's say, 50 µs, then it can actually work with some optimistic but not unreasonable values:
- 10V (ballpark) signal across a 10 mH primary inductance for 50 µs = 50 mA peak magnetizing current
- 0-50 mA triangular current out of a 10 µF ceramic cap for 50 µs = 125 mV sag in cap voltage
So overall that's only a -1.3% error in the reading created by the transformer's magnetizing current pulling charge out of the filtering cap on the voltage divider's output. Seems pretty decent! If you wanted to use a <10µF cap / smaller transformer / longer pulse settling time / etc. and try to compensate for the larger error in software, it would be a little more difficult than just a fixed multiplier or offset considering that the error depends directly on the original reading, but all the values that go into it are pretty predictable so you could definitely create a correction curve for it. And even if the transformer's magnetizing inductance (the most variable part here) changes by 20%, but that's out of a 10% error for example, then that change only creates a 2% difference in the reading.
As for that 50 µs settling time, a 500 µH leakage inductance (~0.95 coupling coefficient for 10 mH transformer) and 33Ω series resistance would create a 15 µs time constant, good enough for settling to reasonable accuracy (couple %?) within 50 µs. Some of that 33Ω series resistance could be added externally to lower this settling time: the 33Ω * 50 mA peak primary current will produce a 1.65V "sag" in the reading, much larger than the capacitor-voltage-sag-induced error, but this is a predictable value in the same way as the one described above, and can be compensated for.
Finally, looking at that last close-up photo gives a pretty good idea of the schematic:
