Earlier quoted context omitted.
You'd be actively cooling your wood stove by much more than the power you'd extract, and you won't get more than enough to charge a phone or laptop. TECs are just terrible. You'd get much better result by making a small steam plant with the same setup: boil water on stove, drive plant (turbine or piston), condense outside, repeat. However, if you really want to do this with TECs, stack them to lower the per-unit temp…
A small stirling engine would be easier and safer than a steam setup.
It got beat out by subsidized Chinese-produced PV panels (SES was forced into bankruptcy).
https://en.wikipedia.org/wiki/Applications_of_the_Stirling_e...