MATHEMATICAL OPTIMIZATION MODEL OF GAS FILTERS' GEOMETRIC PARAMETERS LOCATED IN HEATED ACCOMODATIONS

Abstract

In acting normative document there absent the recommendations for optimization of gas filters’ geometric parameters located in the heated accommodations, that vastly reduces cost-performance to their usages. In the analysis result it has been stated, that height of filter body – diameter ratio essentially influence on operation economy and integral costs of gas filter, located in the heated accommodations together with other gas equipment. When increasing filter body height- diameter ratio, the diameter, metal capacitance, investments to gas filter are decreasing but at the same time investments in accommodations and running expenses for its heating are increasing. There was offered the mathematical model for defining the optimal height-filter body diameter ratio that includes the estimated schemes, objective function of integral costs, investment and running expenses equations, range of restriction of control parameters. The designed mathematical model allows to take mutual influence geometric parameter filter to his diameter, volume and heat protective characteristics of the accommodation where it is installed, consumption of thermal energy necessary for heating accommodation. The results of calculations, fulfilled according to the offered mathematical model applicable to the gas filter 0.004 m 3 by volume with feed socket and downstream fairing 57mm diameter, show, that optimal height-body diameter ratio of a filter, arranged in a heated technological accommodation with other gas equipment is (H/D) opt =4.5, and minimal integral expenses form З min =13200 rubles. Comparison of the optimal configuration of the offered filter (H/D) opt = 4.5 with mean quantity for existing constructions (H/D)= 2.1 shows substantial difference 2.15 times that is explained by ignoring cost indicators of supporting and heat-protecting constructions of the accommodation, where it is arranged, and also consumption of thermal energy for needs of heating, specific weight of flanged joint value. Using the offered mathematical model for defining optimal height – filters’ body diameter ratio, arranged in a heating accommodation, allows to increase essentially their operation economy.