THEORETICAL GAS PULSATION IN DISCHARGE PASSAGES OF ROLLING PISTON COMPRESSOR, PART I: BASIC MODEL

摘要

The mathematical model of a rolling piston compressor consists of three part. The first part models the cylinder pressure and the flow through the valve, which includes the kinematic relationship between cylinder volume and crank position, and the equation of motion and flow equation for the valve. The fundamental frequency and mode of the valve reed is obtained using an energy approach in the second part. The expression for the critical overall flow orifice as function of a valve reference displacement is developed. This allows the modeling of the forces on the valve as function of valve displacement and pressure drop across the valve. This paper concentrates on the third part, the modeling of gas pulsation in the discharge manifold and gas passages. The approach is based on the Helmholtz descretization method [1,2,3]. The equations of the dynamic pressures in the interior cavities of the discharge manifold are derived. The equations of motion of the gas plugs in the gas passages are also derived. This study is repeated for a modified system which includes a side branch resonator. The results of computer simulation program and parametric study are presented in part II.