No grate in a wood stove. This allows excess oxygen under the logs to burn fast and prevents the close proximity of coals to heat the new load of wood for the next fire.
Fireplaces are designed to burn fast and hot for the masonry mass to absorb the radiant energy and radiate into the room over time. So grates are used to raise the wood in an open fireplace.
Always burn on an inch of ash for many reasons.
Use a pipe thermometer to maintain the correct flue temperature. This will depend on many factors. Start with what stove model you have, (so I know what size outlet the stove has. GM 8 inch - Teddy Bear 7) and what type chimney, (Factory Built insulated, masonry, interior/exterior, and importantly the pipe configuration and flue diameter) This determines the minimum flue temperature required to prevent creosote. Then you can open air more if necessary for more heat, but a shorter duration fire.