If your fan on your range vent hood keeps cycling on and off, it’s time to clean the grease filter. The probable reason the fan is cycling so often is that the filter is clogged with grease, and severely reducing the air circulation causing the fan to overheat. It will turn itself off to protect itself from burning out.
If you are looking to replace your range vent hood filter altogether, you can find replacement filters online. Be sure to use the model number off your range vent hood to find the correct filter.
To clean your range vent hood filter, use a degreaser and hot water. Some metal mesh filters can also be cycled through a dishwasher as well. Be sure to wipe the fan blades regularly as well.