Hmm the attachment would be on the wheel well or undercarriage of the car not the wheel itself. I have heat loss calculations so that isnt my issue. I need to know about how to wire/controll the nichrome. Thats why I am here isnt it (;Don't worry, you can buy instead of make. There are tons of PWM controllers for sale on e-bay. Think of it as getting a dimmer. Just be sure to get one rated well above whatever specs you need. Those e-bay sellers might be a little generous in their claims.
Do you have someone's design you are following? I'm a little skeptical this will work. A metal wheel at 30mph in sub-freezing temperatures will dissipate a butt-load of heat. I really don't think you can get enough heat into it to make any difference. Add to that the fact that you need a lot of heat to thaw ice, and I just can't see it. If we're talking about a stationery wheel, maybe.