be aware that most power factor correction for all but smallest of rigs is active these days. (https://www.ti.com/lit/an/slua144/slua144.pdf explains the idea only think bigger.)

Are you wanting to teach analogue filter design or power factor correction ? - both are valid but are not the same these days.
The problem with VSDs is not just harmonics but also the PWM frequency used to fake the sinewave. (https://www.acdrivesguide.com/vsd-control-theory )

In terms of experiment,  current clamps are cheap and it is easy to use a small mains transformer to step the voltage down to something that can safely be scoped, or captured as 'audio' on a PC soundcard.

This is a bit terse, so if this makes no sense, then please come back and I can try and clarify in slower time.
Mike

With regards software, if you're looking at the wider system rather than the box itself, simulations of power quality on power systems are done using specialist packages like Digsilent PowerFactory or ETAP.

It's probably OTT but depending on the level you're aiming at it might be worth looking that way in case they can do something for educational purposes; that said we don't use it (instead hand over to specialists when need arises) so apologies if it's a dead-end.

Slightly blue-sky thought: There might also be open source implementations of similar... maybe not sufficiently proven for a consulant's report but good enough for educational demos. I know there are Python projects out there for other power system studies created for academic use, but again haven't used them myself. Unlikely to come with product data though.