The Southern Advanced Photon Source (SAPS) is a proposed
fourth-generation diffraction-limited storage ring (DLSR) designed
with a modified hybrid multibend achromat lattice, achieving a
natural emittance as low as 33 pm. Given its limited dynamic
aperture, the SAPS is not well suited to off-axis injection, with
on-axis injection schemes proving a more favourable option. This
paper highlights the advantages of longitudinal injection for SAPS,
which employs a fast pulse kicker and multi-frequency RF systems. A
systematic comparison is presented of the longitudinal injection
schemes for double-frequency and triple-frequency RF systems. The
effects of these schemes on circulating beam stretching, the time
structure of the fast pulse kicker, RF parameter stability
requirements, storage ring acceptance, and injection efficiency are
considered. Based on these results, reasonable hardware
specifications for the fast stripline kicker and RF system, as well
as injector parameter requirements, are provided. These findings are
crucial for SAPS to achieve longitudinal injection and can also
serve as a reference for similar light sources.