Authors R.A. Neydorf, М.N.M. Mohsen, A.R. Neydorf
Month, Year 06, 2016 @en
Index UDC 519.87:681.51
Abstract The problem of constructing mathematical models of processes and devices of technological systems, using liquid and gaseous media at a joint course of chemical, mass transfer, heat transfer and other processes. It is shown that the common base of the mathematical model any technological accumulation amount of matter or energy, which summarizes the concept of substance, it allows to unify the construction of the model of most technological objects. For this purpose we introduce the basic variables, indicating the accumulated substance, accumulating volumes and fluxes of exchange with other objects of the technological system. Unification is possible with lumped parameters. The device which is characterized by united volume of the proceeding technological processes is described by system of the one type basic differential equations of balance of the substances, which transform in him. They are converted to the working mathematical model of the variables of technological substitution state process vessel instead of the basic variables of local mathematical models of the individual properties of the studied process. These models are expressed through actual measured variables of technological state of the device, as well as through structural, mechanical, physical, chemical, and other technological parameters of the modeling object. It is analyzed the structural capabilities of such objects control, and the factors affecting its efficiency are defined. The most important of them are classified as a significant non-linearity, a substantial connection process variables and the ability to solve problems of the synthesis process control laws in the shared drive on the basis of mathematical models of a low order. On the example of conditional technological object of control a basic opportunity to perform synthesis of the normalized vector laws of coordinated control of technological devices of the considered type is shown. considered. This shows the effectiveness of the proposed unification of their mathematical modeling.

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Keywords Process vessel; mathematical model; conservation law; material and energy substances; material and energy flows; balance equation; differential equations system; nonlinearity; connectivity; control law
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