What do you know about the characteristics of your chip's
"power take"?
Modeling a CMOS op amp would be very different interests
than a POL DC-DC, than a RFIC, than an ADC. Each has
"care-abouts" that impact output attributes, from power
nonidealities, but each "transfer function" and sensitivity
are different.
You might have in addition to the power supply's inductive
nature and output filter, an intermediate common mode choke
whose inductance might dominate, and demand corresponding
bypassing. You might really, really care about ripple in a RF
system that can modulate and make frequency products of.
You might see that the POL DC-DC applies huge square wave
"slugs" where a CMOS op amp is quasi-constant-current,
and needs huge (and high quality) input decoupling / charge
reservoir.
A suggestion is, first feed your part with an ideal source and
see the current waveform. Then "build" your power supply
model based on what you can find for output characteristics
(DC, Bode plot, step-load response) and see what impact.
Then, on to cleaning that up with realistic close-in decoupling
elements, on-PCB power distribution network and so on.
Some parts, you can neglect all that and use rules-of-thumb
as constrained by BOM cost and component realities. SSI logic?
Throw a 1nF cap at it and move on. Others want a whole project
to themself.