A General Nonlinear Dynamical Analysis of a Second-Order, One-Dimensional, Theoretical Compression System Model

In this paper we present a nonlinear dynamical analysis of a second-order, one-dimensional, theoretical compression system model. As in previous analyses of this type, a nondimensional speed parameter is regarded as a variable system parameter. However, in contrast to previous analyses of this type, here the nondimensional compressor and throttle characteristics embedded within the model are also regarded as variable system parameters. This results in an explicit characterization of the way in which the nonlinear dynamical behavior exhibited by the model depends on these characteristics. In applications this characterization provides guidelines for specifying unmeasurable details of these characteristics in such a way as to ensure that the nonlinear dynamical behavior exhibited by the model corresponds to that observed in the underlying physical compression system.