This thesis details the efforts to develop a dynamic model of a transcritical vapor compression systemsuitable for multivariable control design purposes. The modeling approach is described and the developed modelsare validated with experimental data. The models are nonlinear, independent of fluid type, and based on firstprinciples. Linearized versions of the nonlinear models are presented. Analysis of the linearized models andempirical models created using system identification techniques suggest that lower order models are adequate for theprediction of dominant system dynamics. Singular perturbation techniques are used to justify model reduction.Based on the reduced order models, the dominant dynamics of these systems are identified and described in terms ofphysical phenomena. Although all results presented are for a transcritical vapor compression cycle with carbondioxide as the working fluid, the methodology and results can be extended to both subcritical and transcriticalsystems.
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