The aim of the paper is to create the two-dimensional mathematical model of HFI-plasma generator, to investigate their operating conditions, to obtain the recommendations on the treatment of dispersed materials. The mathematical model of HFI-plasma generators has been constructed, the new types of model equation recording has been obtained, the investigations of operation conditions in HFI-plasma generators have been performed. The routine package for calculation of charged plasma jet characteristics and determination of the most important parameters in technological plants has been createdAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio