Electric compressor installations are widely applied in marine transport and industry. So far in the theory of drive the mathematical models of induction electric motor have been considered separately. This paper suggests an integrated mathematical model of electric compressor installation. Taking into account that the compressor and electric motor are mechanically rigidly connected to each other, the processes taking place in both units are physically interconnected. The integrated mathematical model takes into account these connections as well as parameters of pipes and physically-mechanical properties of the pumped liquids (gases). The suggested mathematical model can be used for technical diagnostics of the electric compressor installation. There are the obtained in modeling environment MatLab graphs of the processes of physical parameters changes in the installation.