Electricity Reliability and Fuel Security Act This bill amends the Internal Revenue Code to allow a tax credit through 2022 for a portion of the expenses for the operation or maintenance of a coal-powered electric generation unit, excluding expenses for coal. The credit applies to taxpayers who own or lease an electric generation unit that uses coal to produce at least 75% of the electricity produced by the unit. Qualified public entities may transfer the credit to an eligible project partner. A "qualified public entity" is: (1) a federal, state, or local government entity or any political subdivision, agency, or instrumentality thereof; (2) a mutual or cooperative electric company; or (3) a not-for-profit electric utility which had or has received a loan or loan guarantee under the Rural Electrification Act of 1936. An "eligible project partner" is a person who: is responsible for operating, maintaining, or repairing the unit; participates in the provision, including transportation, of coal to the unit; provides financing for the construction or operation of the unit; or leases the unit.