Nanostructurable carbon is of considerable interest for use in the processes of the modern food industry. Equipment for its production, using the method of plasma sublimation of graphite raw materials due to the complexity of the process, due to the large number of parame-ters affecting the yield and quality of the resulting product. The purpose of this study is to de-velop a methodology for the design and calculation of plasma fusion conditions, allowing to in-crease the efficiency and productivity of existing technologies and equipment based on mathe-matical modeling of processes. This paper presents a kinetic model that allows us to study the formation of various carbon nanostructures in electric arc discharge plasma using a catalyst. The results of numerical and experimental studies of the deposited sludge mass dynamics using Ni catalyst are presented, which confirm the feasibility of using catalysts. The developed math-ematical model and its elements can be used to design control systems and installations for plasma synthesis of fullerenes and nanotubes.