Mathematical modeling and simulation of a reed valve reciprocating air compressor

Abstract

Mathematical modeling is the process of designing a model of a real system and conducting experiments with it for the purpose of understanding the behavior of the system. Mathematical simulation is widely used for investigating and designing the compressors. Investigations of the processes of reciprocating compressors using mathematical models is an effective tool by high development of computing technique, which enables complicated problems to be solved with a minimal number of simplifying assumptions. A considerable number of previous works has been done on the mathematical modeling and simulation. The aim of the present work is to construct a model which is easy to understand, easy to detect errors in the process of building a model, and easy to compute a solution. This paper presents a simplified and effective mathematical model for the estimation of reciprocating compressor performance using personal computers that can be easily handled. The effect of operating parameters, speed and discharge pressure on thermodynamic behavior of compressor in working condition has been analyzed. The model has been developed for obtaining cylinder pressure, cylinder volume, cylinder temperature, valve lift and resultant torque at different crank angles and free air delivered and indicated power of the compressor. The model has been validated using experimental results.

Determination of the functional and service characteristics of the pneumatic system of an agricultural tractor with mechanical brakes using simulation methods

“…After determining the linear regression equations of response times t 10 and t 75 as a function of the time t f of pedal brake force variations ( Figure 7) by least squares method, the response time for rapid braking corresponding to an actuation time of t f =0.2 was calculated. The results of calculation of the pneumatic system control device response time, as obtained from the experimental tests, are summarized in Table 1.…”

“…the one ramping from 0 to a maximum of 600 N for a duration of 0.2 s. The simulation results are shown in Figure 8. The values of the response times t 10 and t 75 , as determined based on the pressure p c variation, are given in Table 1.…”

“…Mathematical models for estimating the compressor performance and the thermodynamic behaviour of compressors under different working conditions [2, 10,30] are too complex for modelling of the dynamics of multicircuit pneumatic and hydraulic braking systems. In turn, most of the models known from the literature concerns the typical brake valves used in the air braking systems of commercial vehicles [11,23,29] and trailers [12,13,15,21,24].…”

Investigation on thermodynamic state and valve dynamics of reciprocating compressors with capacity regulation system and parameter optimization

“…Prata (2002, 2006) developed a two-dimensional differential methodology to simulate the whole operating cycle of a small refrigeration reciprocating compressor. A mathematical model of a reed-valve reciprocating air compressor was presented by Govindan, Jayaraman, Venkatasamy, and Ramasamy (2009) and Venkatesan, Nagarajan, Seeniraj, and Murugan (2010), and cylinder air pressure variation with cylinder volume and crank angle under varying operating parameters were obtained for validation. The model formation contained thermodynamic equations for the four processes (expansion, compression, suction and discharge processes).…”

Prediction of air–fuel ratio control of a large-bore natural gas engine using computational fluid dynamic modeling of reed valve dynamics

“…Govindan et al 12 developed a mathematical model to simulate a reed valve reciprocating air compressor. The reed valve in this study was a plate valve, used in braking system of heavy passenger vehicles and trucks.…”