Each system Rich consists of a filter loaded by a converter absorbing
a constant power is a system which is potentially unstable. In this do
cument, models are developed for the study of the stability, in which
current source is used to represent the converter. Using small signal
hypothesis, the first model leads to analytical and numerical stabilit
y criteria, which are functions of the system parameters. In the secon
d part, we use a large signal model, to obtain Limit cycles of stabili
ty applying numerical calculation. This way we can study the influence
of the system parameters on the area where the system is stable. Ljap
unov theory is applied, to describe functions which represent part of
the stable area we obtained by numerical calculation.