The results of numerical experiments on small-angle neutron scattering on solid nanospheres with dimensions of 8 nm and 80 nm at pulsed neutron sources are presented. Numerical models have been developed for the designed instrument at the compact neutron source DARIA and the operating YuMO spectrometer on the pulsed reactor IBR-2M. In both cases a time-of-flight type of neutron detector is used, in which radial spatial resolution is realized by means of concentric rings integrating the scattering intensity over the azimuthal angle. It is shown that the scheme of implementation of the SANS method on the compact neutron source DARIA is not inferior to the YuMO instrument in resolution and range of transmitted pulses, but loses an order of magnitude in luminosity.