Decrease the consumption of mineral fuels in ICE is considered one of the important goals of reducing the harmful influence of this energy source on the environment. Within this plan, one of the most effective fuels type is biogas obtained from the processing of municipal solid waste and livestock waste. Biogas basically includes methane and carbon dioxide with a wide range of their ratio. The composition of biogas, in relation to the special features of obtaining it, can change, which leads to a change of indicators of the ICE. In connection with, the forecast of these indicators is actual, which is necessary for the development of effective systems for regulating the supply of biogas in the internal combustion engines. This forecast can be executed with the help of mathematical modeling of the working cycle of ICE with using adequate mathematical models. In this research used improved mathematical model of the working cycle of internal combustion engine developed in the department of piston power plant A. Podgorny Institute for Mechanical Engineering Problems NAS of Ukraine. The subject of the research is diesel engine D21A, converted to a gas engine, for which the investigations of possible options biogas composition were carried out with methane and carbon dioxide content in percentage terms: 100/0, 80/20, 60/40, 50/50, 40/60. Influence of the content in biogas of hydrogen, hydrogen sulfide, ammonia and nitrogen oxides in view of their smallness is neglected. The sufficiency of the mathematical model is verified by comparing the effective engine indicators obtained experimentally and by means of a calculation for the rated power mode of 18.5 kW (fuel-methane, n = 1800 min -1 , α = 1, φ = 25°, e = 9.5) . The difference in the comparison of the results didn't be less than 10 %, which proves the fidelity of the model. The influence of control actions on the parameters of an engine working on biogas is presented in the diagrams in X–Y coordinates. Graphical analysis of the results numerical experiment, depending on the changing parameter allows to predict the potential emission of NO, CO, CO 2 , economic indicators (g i , G i ), capacity indicator (p i ), the process quality index of the process inside the cylinder (η i ), to estimate the maximum values of temperature and pressure of the cycle as for the rated power mode (n = 1800 min -1 ) and for the maximum torque capacity (n = 1400 min -1 ), and retrieve additional info for different excess air ratio (α = 1.0, α = 1.1) by external velocity performance and load characteristics for all test parameters of the engine. A numerical experiment based on predict the characteristics of an engine running on biogas with a different ratio of CH 4 / CO 2 made it possible to make a quick, with sufficient accuracy, preliminary analysis indicator indexes of ICE with spark ignition. Inference should be drawn that the use of biogas as a motor fuel for stationary and transport power plants shows positive results, videlicet: improves index toxicity at a significant decrease in the economic index of the engine, decreases the thermal load on the parts of the cylinder-piston group, which contributes to the increase in their motor mileage allowance, the carbon dioxide balance in the environment is observed. The results of mathematical modeling can be useful in optimizing the working cycles of ICE, which are transferred to work with natural gas and biogas. They are also necessary in the development of such complex structures as automatic control systems for the supply of gaseous fuels in the internal combustion engine with the instability of its component composition and the resulting heat of combustion.
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