A system having a primary current generating assembly includes a primary thermal engine and a secondary current generating assembly, in particular an electric turbo compound installation, for the secondary conversion into electricity of exhaust gas heat from the primary current generating assembly. The secondary current generating assembly includes an exhaust gas turbine arranged in an exhaust gas stream of the primary thermal engine, and the exhaust gas turbine drives an electric secondary generator. In order to improve efficiency, and in particular to reduce fuel consumption, it is proposed that an exhaust gas cooler followed by a compressor are arranged in the exhaust gas stream downstream of the exhaust gas turbine, the compressor being driven by an electric motor and the rotational speeds of the compressor and the exhaust gas turbine are controlled by a process control system. The disclosed invention also relates to a vehicle equipped therewith.