The present invention discloses a method of a mobile power generation system. A power generation apparatus is respectively quickly connected, through expansion joints, to an intake assembly and an exhaust duct which are separately transported, to implement the quick installation and connection of the power generation system at the fracturing operation site. Two conveyances are respectively provided for the intake assembly and the exhaust duct to achieve more flexible adjustment during connection. While the position of the power generation apparatus is fixed, the intake assembly is moved to connect to an intake chamber of the power generation apparatus, and the exhaust duct is moved to connect to an exhaust collector of the power generation apparatus.