OPTIMAL CONTROL WITH LOAD OF DEVICES FOR HYDRO PURIFICATION OF FUELS TAKING INTO ACCOUNT CHANGE IN SULFUR CONTENT IN INCOMING ROW MATERIAL

Abstract

The problem of controlling the speed of introduction of raw materials into processing in industrial plants for hydro desulphurization of fuels connected with considerable differences in their sulphur content is discussed. The main production- and logistic problems of appearance of dynamically changing deviations from a number of norms relating to sulphur content in raw materials being fed into cleansing reactor are presented. The problem of selecting such strategy of controlling the current capacity is stated which is optimal both from the points of view of quality indicator of raw material cleanliness and of realizability of the fuel processing volume being planned. The mathematical statement of the problem is given differing from customary problems of positional control by the consideration of quality indicators of raw materials and limitations on maximally admissible output of plants for raw material processing. The principal difference consists in the introduction of stabilizing feedback concerning consumption resource dynamics which can be realized by means of inclusion of a certain Lagrangian function being optimized. The association of this function with function of perturbing factor distribution, i.e. with changeability of sulphur content in raw material turns a conventional problem of static optimization into the problem of optimal control with integral limitation on the current capacity. For solving the stated problem optimal control, the theory has successive approximation method as well as imitational modeling method. The simplest way of solution from algorithmic point of view is the use of imitational modeling method. The playing out of a random quality in solving similar problems is prescribed through generators of random numbers. This problem is solved in the presented paper by way of imitational modeling method using an empirical mathematical model made on the basis of data of passive observation of process operation of a production plant. With the help of computer simulation means a system of imitating an external perturbing factor is created through which synthesis of stabilizing feedback is made relative to realizability of output volume in the predetermined period. Some realizations of feedback are given permitting to perform analysis and offer recommendations for successful solution of the stated problem of optimal distribution of loads under conditions of external perturbances caused by raw material quality. It is demonstrated that for problems with sufficiently prolonged planning interval. When its statistical parameters are safely protected by an arbitrary realization of a random perturbance, programmed control through feedback circuit proves to be more effective and guarantees higher accuracy of process optimality on the whole. For citation:Nagiev H.A., Alieva F.A. Optimal control with load of devices for hydro purification of fuels taking into account change in sulfur content in incoming row material. Izv. Vyssh. Uchebn. Zaved. Khim. Khim. Tekhnol. 2017. V. 60. N2. P. 91-97.