There are many tools and techniques for cooking without electricity. DH and I have been experimenting with the EcoZoom Dura and Versa. They are products that produce a very fuel efficient stove top (rocket stove). The Dura uses wood or biomass only. The Versa uses wood, biomass, or charcoal. We live in a heavily wooded area and have found these stoves to be a good alternative.
For more information, I have reviews on The Survival Mom's website: