Cold and heat combined supply system and method based on complete recovery of compression heat of compressor

The invention provides a combined cooling and heating system and method based on total recovery of compression heat of a compressor, and the system comprises a plurality of stages of compressor heat exchange modules, each stage of compressor heat exchange module comprises a compressor, a multi-stream heat exchange container with a high-temperature heat exchange unit and a low-temperature heat exchange unit, and a gas-liquid separation tank; the high-temperature working medium evaporator communicates with all the compressor heat exchange modules to form cooling water circulation, and a working medium is evaporated through heat of cooling water; the high-temperature working medium condenser, the high-temperature heat exchange unit of each stage of compressor heat exchange module and the heat user side form a heat medium water circulation pipeline, and heat medium water is subjected to heat exchange and temperature rise; the low-temperature working medium evaporator and the cold user side form a refrigerant wate