On Existence of equilibria of multi-port linear AC networks with constant-power loads

Abstract

This paper explores the problem of stability of linear time-invariant (LTI), multi-port AC circuits with instantaneous constant-power loads (CPLs), which model the behavior of some point-of-load converters. It is well-known that CPLs have a destabilizing effect that gives rise to significant oscillations or to network collapse, see [3]–[5], [7], and the references therein for a further discussion on the subject and [8] for a recent literature review. Clearly, a sine qua non condition for the correct behaviour of the network is the existence of a steady-state operating condition.