[en] Mathematical modeling and thermal flux estimations show that a combination of installations available at present at JINR - the plutonium reactor IBR-30 and the 660 MeV proton phasotron with the current of the extracted beam 0.25 mkA, i.e. 10% of its average value, - allows one to construct an air-cooled electronuclear set-up with the multiplication coefficient K_eff ≅ 0.94, the neutron yield N_tot ≅ 10¹⁴ - 10¹⁵ and the heat generation about to 10 kW. This set-up will demonstrate a possibility to construct subcritical transmutation-power generating electronuclear systems safe and stable in operation and applicable for utilization of weapon grade and technical plutonium. Kinetics of the electronuclear system will be investigated, in particular, fluctuations of the value of K_eff for various parameters of the proton beam. Cross sections of nuclear reactions which are important for the estimations of an efficiency of various conditions of the nuclear waste transmutation and the neutron fluxes together with the heat distributions inside and outside the plutonium core will be measured. A comparison of these data with theoretical calculations allows one to check up and to develop significantly the methods of mathematical modeling of electronuclear systems. We suppose also to estimate the possibilities of ARC-method for the burning of radioactive wastes and to study the influence of various reflectors and multipartitioning of the core which increases the neutron yield. (author)