To be honest, I don't have a lot of experience with a vertical axis wind turbine, I did look into them a few years ago, but never built one, so I can't say anything first hand about them. However, I do work as a power production engineer, with one of the fields being large scale industrial wind turbines, and in my opinion, they're more trouble than they're worth. Obviously things are different changing from small to large scale, and all things are not equal, but I would really suggest focusing more on solar than wind.
I know you listen to The Survival Podcast, and like the Stephen Harris episodes, and he has a reputation for beating on photovoltaics, and for the most part, he's correct. They're one of the most expensive initial start-up costs, and their efficiency goes down significantly with a change in angle based on your latitude and part shade coverage ( 20% shade doesn't mean 20% efficiency loss, its a geometric scale based on the inverse square law). However, they're the simplest possible power sources ever. Photons hit the cell, causing the silicon to shed electrons, and creates a current. No moving parts, no fuel consumption, no wear, almost no maintenance (except for cleaning the panel every now and again).
Wind, however, is often very troublesome. It has the inherent issues of any mechanical device, and often has gearbox issues. In the commercial wind farms, they use a decent sized planetary gearbox system to ensure an appropriate rotational frequency for the generators (commercial turbines spin at about 17 RPM compared to the 3000/3600 RPM of a gas turbine depending on whether you use 50 or 60 HZ power) Smaller vertical axis wind turbines obviously spin much faster, but with little to act as a flywheel, don't really have any inertia, so whilst they might whip by with no load, under load they can really struggle. Now, thinking about your gearbox, the way a turbine works is to convert linear motion into rotation motion, which puts the rotor and gearbox under radial strain and bending causing unavoidable gear issues such as poor meshing, alignment and wear over time. In steam and gas turbines, the blades and vanes are encompassed with supports on the outer circumference, giving greater strength which wind turbines seldom have. I've included a photo of one of the wind farms I work on which had a failure, and tore itself apart (once the brakes let go, there's nothing you can do to stop them from destroying themselves aside from hope the wind stops blowing)
Its irrefutable that wind power works, and can be effective, and more importantly to me, it just looks cool when you have a little wind turbine at your house. However, for sheer practicality, I'm not sure I would recommend it, it will require much more maintenance, and fail much more frequently than any solar system would. If you want to do it just for something different, and to have some fun learning about new power sources, then by all means, have a go, its a lot of fun. But you're more likely to get a better economical and more reliable system by running a good PV array with some good batteries.
I don't know much about your wood stove, but I would guess that since its just using a solenoid, thermostat and fan, you could just get by using a DC system, so you wouldn't need an inverter, which would keep the cost and complication down.
I'm sorry if I seem like a kill-joy and I'm putting down your idea, that really not my intention, I used to try a lot of little projects like this, which was a lot of fun, but seldom super effective. Now that I've had some exposure to the industry, I'm learning the limitations of the systems. If you had any more specific questions, let me know and I'll try my best to answer them.
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