Mathematical model of working processes of piston hybrid power machine of volumetric action with reduced fluctuations of gas pressure in discharge line

Abstract

The paper considers a new scheme for reducing pressure fluctuations on the gas injection line in the compressor section of a hybrid power machine, highlights the main control volumes for the compressor and pump sections. Based on the General laws of conservation of energy, mass, motion and the equation of state, a mathematical model for calculating the control volumes of the compressor section of constant and variable volumes is developed. Based on the use of the equation of continuity of motion and energy, taking into account the energy loss for friction and external heat transfer, a mathematical model of the gas flow in the interstage communications of the compressor section is developed. Based on the use of Hooke’s equations of mass, volume and motion, a mathematical model of the compressor section in the pump mode is developed. Considering the fluid flow in the connecting pipelines as quasi-stationary, their calculation is carried out on the basis of the Bernoulli equations. The developed mathematical model and schematic diagram can be used in the calculation of new efficient designs of both piston compressors and hybrid power machines.