Sequential combustion gas turbine engine including a steam system for injecting steam to each combustor

A turbine engine comprising:

• a compressor section that provides a compressed air flow;
• a fuel system that provides fuel to a primary combustor fuel supply and an inter-stage combustor fuel supply;
• a primary combustor located downstream of the compressor section, the primary combustor receiving the compressed air flow and the primary combustor fuel supply, and combusting the compressed air flow and the primary combustor fuel supply to generate primary combustion products;
• a turbine section located downstream of the primary combustor, the turbine section comprising:
• an HP turbine connected to an HP shaft and rotating from a flow of the primary combustion products, the HP turbine being a multi-stage turbine;
• an LP turbine connected to an LP shaft and positioned downstream of the HP turbine;
• and
• a secondary combustor that combusts a mixture of the primary combustion products and fuel from the inter-stage combustor fuel supply to generate inter-stage combustion products, the secondary combustor being an inter-stage combustor located between adjacent stages of the HP turbine such that the inter-stage combustion products of the secondary combustor are HP inter-stage combustion products;
• and
• a steam system comprising an inter-stage combustor steam supply to supply steam to the secondary combustor to increase total mass flow in the turbine section,
• wherein the HP inter-stage combustion products and the inter-stage combustor steam supply rotate the HP turbine.