Methods for forming light olefins with catalyst recycle

A method for forming light olefins in a reactor system, the method comprising:

• reacting a feed stream in the presence of a catalyst in a reactor to form a product stream and a deactivated catalyst comprising coke;
• separating at least a portion of the product stream from the deactivated catalyst;
• passing the deactivated catalyst to a combustor in a catalyst processing portion of the reactor system and processing the deactivated catalyst to produce a reactivated catalyst and a flue gas, wherein coke is removed from the deactivated catalyst in the combustor;
• separating the reactivated catalyst from the flue gas and separating the reactivated catalyst into a first portion and a second portion;
• passing the first portion of the reactivated catalyst to the reactor;
• combining the second portion of the reactivated catalyst with the deactivated catalyst upstream of the combustor to form a mixed catalyst stream, wherein the mixed catalyst stream is contacted with a first oxygen-containing gas stream upstream of the combustor and wherein coke on the deactivated catalyst is oxidized when contacted with the first oxygen-containing gas stream upstream of the combustor;
• and
• passing the mixed catalyst stream to the combustor and contacting the mixed catalyst stream with a second oxygen-containing gas stream while in the combustor;
• wherein the sum of the molar flow rate of the first oxygen-containing gas stream and the molar flow rate of the second oxygen-containing gas define a total oxygen-containing gas molar flow rate, and the molar flow rate of the first oxygen-containing gas stream is 1% to 15% of the total oxygen-containing gas molar flow rate.