Method and system for the synthesis of methanol

A plant for the synthesis of methanol, with a synthesis gas reactor arrangement for obtaining a synthesis gas stream with hydrogen and oxides of carbon from a carbon-containing energy carrier stream, with a synthesis gas compressor for increasing the pressure of the synthesis gas stream, with a methanol reactor arrangement which has a first reactor stage, with a heat recovery device for recovering heat from the synthesis gas stream, with a hydrogen recovery arrangement and with a recycle compressor, wherein at least a portion of the pressure-increased synthesis gas stream is fed to the first reactor stage for partial conversion into methanol, wherein a residual gas stream with unreacted oxides of carbon is obtained from the methanol reactor arrangement, the residual gas stream being fed to the recycle compressor for increasing the pressure of the residual gas stream, wherein the pressure-increased residual gas stream is fed to the methanol reactor arrangement for partial conversion into methanol, wherein the synthesis gas stream is fed to the heat recovery device and thereafter to the synthesis gas compressor, wherein a recovery stream from an unreacted residual gas from the first reactor stage is fed to the hydrogen recovery arrangement for obtaining a H recycle stream, the H recycle stream having unreacted hydrogen from the unreacted residual gas, the unreacted hydrogen of the H recycle stream being fed again to the first reactor stage for at least partial conversion into methanol, wherein the pressure of at least a portion of the unreacted hydrogen of the H recycle stream from the first reactor stage up to its feed again into the first reactor stage is increased along with the unreacted oxides of carbon by means of the recycle compressor.