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本文建立活塞式压缩机工作过程数学模型的目的旨在进行以经济性为目标函数的压缩机优化设计。数学模型分热力学模型和动力学模型两部分。在热力学模型中,通过联立求解以气缸为控制容积的能量守恒方程、质量守恒方程和气阀运动规律方程等,获得工作过程各时刻气缸内的压力、质量以及压缩机的排气量、指示功等热力性能。在动力学模型中,根据各个时刻的气缸内压力,算得作用在各个摩擦副上的正压力。确定摩擦系数后,即得到任一时间间隔内各摩擦副的摩擦功,数值积分后得到总的机械摩擦功率。经实验验证,在一定范围内,用本模型预测的压缩机排气量、指示功、机械摩擦功相对误差均小于5%。
The purpose of building a mathematical model of piston compressor working process in this paper is to optimize compressor design with economy as the objective function. Mathematical model sub-thermodynamic model and kinetic model in two parts. In the thermodynamic model, the pressure, mass and displacement of the compressor at each moment of the working process are obtained by solving the equations of conservation of energy, the mass conservation equation and the law of movement of the valve with the cylinder as the control volume, Other thermal properties. In the dynamic model, the positive pressure acting on each friction pair is calculated from the pressure in the cylinder at each moment. After the friction coefficient is determined, the friction work of each friction pair at any time interval is obtained, and the total mechanical friction power is obtained after numerical integration. The experimental verification shows that within a certain range, the relative errors of compressor displacement, indicator work and mechanical friction work predicted by this model are less than 5%.