Abstract
The development of new converting technologies and increasing the level of automation leads to an increase in the processing speed of available resources. This means that in case of inefficient or inefficient use of resources, the potential of economic advantage is lost, and the negative consequences of such losses can be identified too late. In such conditions, the requirements for the selection of the criterion of optimization and the validity of the principles of optimal control increase. Moreover, the approach used may vary depending on the daily change in prices for energy products and fluctuations in the level of demand for manufactured products. Despite the fact that such an approach seems obvious, today energy-intensive production suffers significant losses associated with the use of an inadequate model of technological operation, a subjective approach to the choice of optimization criterion and optimization method. The task of developing a method for determining the optimal trajectory of managing energy-intensive industries with a changing level of demand for final products is posed. The solution to this problem consists of several stages. At the first stage, a model of a technological operation is being created, within the framework of which all significant factors affecting the decision result are taken into account. At the second stage, a global operation model is created, the input and output products of which are converted to comparable value values. At the third stage, the optimization criterion for the continuous operation of the system and the mode of incomplete use of its production capabilities is selected. At the final stage, the control path for intermittent and continuous modes of operation is determined. Thus, the aim of research is development of a method for determining the optimal control trajectory in systems of energy-intensive systems, depending on the level of demand for the final product.
Highlights
In order to really optimize the technological process, it is necessary to work with a system-based model of the technological operation
To illustrate the proposed method, let’s consider the steps to solve the scientific problem by the example of the technological process of batch heating of a salt solution of a fluid to a predetermined temperature using an electric heater. Such a process is chosen as an illustration in view of the simplicity of its mathematical model, which makes it possible to reproduce all the research results, as well as due to the fact that the heating process is an inertial technological process
Batch heating of a fluid, unlike continuous heating, does not require the use or simulation of transients, which simplifies the illustration of the method
Summary
In order to really optimize the technological process, it is necessary to work with a system-based model of the technological operation. To illustrate the proposed method, let’s consider the steps to solve the scientific problem by the example of the technological process of batch heating of a salt solution of a fluid to a predetermined temperature using an electric heater. In order to achieve the required quality, it is necessary to choose a control in which the available resources are used as efficiently as possible This approach involves working with such a model of the operational process, which allows to take into account the influence of all significant factors. The parameters RQP1 and tL will be influenced by the design features of the capacity for heating, the physical characteristics of the material of the container and the heated fluid These features will not change the overall trends in energy consumption and operation time from control. Determination of the amount of wear of the heater, during the technological operation, can be determined from the expression [8]
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