While Fischer-Troph would be a route to storing wood gas in a liquid fuel form...it has its issues. What to do with the liquid? It isn't diesel fuel, its wax, so some kind of chemical processing (like making biodiesel) would be needed. You do all that, but at some point you have to ask yourself, "what am I doing this for?"
My goal was to run the cook stove, the refrigerator, and have start up gas for the engine.
This was my gas plant setup. Lots of moving parts. The idea that it takes more energy to compress the gas and store it, then the gas contains is correct, but.... but if your battery bank is charged and your controller is just dumping the PV electric anyway, why not run a pump? The same imbalance can be said for ethanol fuel, biodiesel, and definitely fossil fuels.
Still after having done that. I found a non-electric way of starting the engine on wood gas without storing it. I also found that the new GE electric refrigerators are incredibly efficient (head and shoulders above propane) and that its still hard to beat the simplicity of a wood fired cook stove....so my need to compress and store the gas has slowly evaporated.
Its doable but why?
DF