This is considered a personal non-deductible expense of your household.
While the federal government doesn't provide energy tax credits for gas generators -- some states do.
I don't know which state you reside in, however, you may want to check with the local power company regarding rebates, and the State Department of Revenue website, for a possible state deduction.
Below is a link to the various state websites:
https://www.taxadmin.org/state-tax-agencies
