This article be parenthetic to the cycle of works devoted mathematical description of analytical means for the solution of some problems of the nuclear electromagnetic generator functioning. These problems are connected with the parameters calculation of external electromagnetic field on the toroid and parameters of charged kinetics which products this field is induced. General scheme of action for the nuclear electromagnetic toroidal vacuum generator (in shortened form: nuclegen) with controlled shields from the radioactive fission substance is adduced. Shields may consist a several layers executed the role of reflector or moderator for oppositely charged products of the fission. Parameters calculation of induced electromagnetic field in the external winding of toroid for the different initial (driving) regimes of functioning generator is produced also.