Mathematical models in the management of copper production: ideas, methods, examples

2020 ◽  
Author(s):  
Natal'ya Vasil'eva
Keyword(s):  
Quantitative Estimation ◽  
Balance Sheet ◽  
Copper Production ◽  
Current Status ◽  
Mathematical Methods ◽  
Technological Processes ◽  
Industrial Experiments ◽  
The Mathematical Model ◽  
Metallurgical Processes ◽  
Passive Experiment

Presents the current status in modelling of metallurgical processes considered by the model the mathematical model used in the description of the processes of copper production and their classification. Set out a system of methods and models in the field of mathematical modeling of technological processes, including balance sheet, statistics, optimization models, forecasting models and predictive models. For specific technological processes are developed: the model of the balance of the cycle of pyrometallurgical production of copper, polynomial model for prediction of matte composition on the basis of the passive experiment, predictive model of quantitative estimation of the copper content in the matte based on fuzzy logic. Of interest to students, postgraduates, teachers of technical universities, engineers and research workers who use mathematical methods for processing of data of laboratory and industrial experiments.

scholarly journals RESEARCH OF THE TENSELY-DEFORMED STATE OF ELEMENTS OF MOBILE HEAT STORAGE

2020 ◽  
Vol 42 (2) ◽  
pp. 68-75
Author(s):  
V.G. Demchenko ◽  
А.S. Тrubachev ◽  
A.V. Konyk
Keyword(s):  
Mathematical Model ◽  
Heat Storage ◽  
Quantitative Estimation ◽  
The Real ◽  
State Of The Union ◽  
Real Geometry ◽  
Deformed State ◽  
The Mathematical Model ◽  
Minimization Of Functional

Worked out methodology of determination of the tensely-deformed state of elements of mobile heat storage of capacity type, that works in the real terms of temperature and power stress on allows to estimate influence of potential energy on resilient deformation that influences on reliability of construction and to give recommendations on planning of tank (capacities) of accumulator. For determination possibly of possible tension of construction of accumulator kinematics maximum terms were certain. As a tank of accumulator shows a soba the difficult geometrical system, the mathematical model of calculation of coefficient of polynomial and decision of task of minimization of functional was improved for determination of tension for Міzеs taking into account the real geometry of equipment. Conducted quantitative estimation of the tensely-deformed state of the union coupling, corps and bottom of thermal accumulator and the resource of work of these constructions is appraised. Thus admissible tension folds 225 МРа.

Mathematical Model of Passing the Light Flow to the Space in a Clear Sky through Various Types of Lighting Devices

2018 ◽  
Vol 931 ◽  
pp. 914-919
Author(s):  
Khazret M. Guketlov ◽  
Fatima M. Shogenova ◽  
Alim R. Fitsev
Keyword(s):  
Mathematical Model ◽  
Annual Cycle ◽  
Quantitative Estimation ◽  
Light Regime ◽  
Light Climate ◽  
Clear Sky ◽  
The Mathematical Model

A mathematical model for the passage of a light stream into a room through zenith, rectangular, shed lamps and obliquely arranged light devices is developed. The use of the mathematical model will increase the accuracy of the quantitative estimation of the light regime of the room in the annual cycle, as well as the transition to a differentiated account of the light climate.

scholarly journals Building a mathematical model of technological processes in the acetic acid synthesis reactor

2021 ◽  
Vol 5 (2 (113)) ◽  
pp. 94-104
Author(s):  
Zhanna Samojlova
Keyword(s):  
Mathematical Model ◽  
Acetic Acid ◽  
Acid Synthesis ◽  
Critical Value ◽  
Reaction Mass ◽  
Stationary Mode ◽  
Fisher Criterion ◽  
Technological Processes ◽  
Level Of Significance ◽  
The Mathematical Model

The result of the study reported in this paper is the proposed mathematical model of technological processes occurring in the reactor for acetic acid synthesis. The initial parameters of the reactor considered were the value of the concentration of acetic acid at the reactor outlet, temperature, the level of reaction mass, and pressure in the reactor. The input parameters included the amount of methanol and carbon monoxide supplied. Material and thermal balances of reactor technological processes were used to construct the mathematical model of the reactor. Fisher criterion was applied to test the mathematical model for adequacy. At the specified 5 % level of significance, the value of Fisher criterion for the concentration of acetic acid, temperature, and the level of reaction mass in the reactor does not exceed its critical value for a stationary mode. The reproducibility of the modeling results was tested using the Cochran criterion. The value of the Cochrane criterion, at the predefined 5 % level of significance, for the concentration of acetic acid, temperature, and the level of reaction mass in the reactor does not exceed its critical value for different modes. The relative error for the modeled output parameters was calculated. The relative error of the initial parameters did not exceed the level of 10 %. The model built makes it possible to calculate with satisfactory accuracy the value of the concentration of acetic acid at the reactor output, the temperature and level of the reaction mass in the reactor under a stationary mode. The resulting model could be used to automate the control of technological processes in the acetic acid synthesis reactor under a stationary mode. The study results open additional opportunities to manage the stationary mode of the reactor

scholarly journals Development of automated balance flow-sheets in refinery commodity and feedstock depots

2021 ◽  
Vol 48 (2) ◽  
pp. 50-59
Author(s):  
Yu. S. Trufanov
Keyword(s):  
Balance Sheet ◽  
Petroleum Products ◽  
Commodity Group ◽  
Technological Processes ◽  
Significant Production ◽  
Production Facilities

Objective. Development of automated balance flow-sheets in commodity and feedstock depots. Methods. Methods for modelling balance flow-sheets of commodity and feedstock depots, taking into account petroleum products movement and shipping plans, were applied. Results. Examples of automated balance flow-sheets of commodity and feedstock depots specific to refineries are given with the description of technological processes or oil product shipment processes. Rail, road, water, and pipelines shipment automation processes are shown. Operational and daily summaries of balance objects, such as a tank or a group of tanks (commodity group), are graphically shown. An example of an automated dispatch sheet formed on the basis of corresponding automated balance flow-sheets is given. Conclusion. The implementation of automated flow-sheets for all significant production facilities at a refinery, in particular for commodity and feedstock depots, will ensure the visibility and transparency of information on balance objects, which is subsequently used to close a balance sheet for the enterprise as a whole.

MODELING OF TECHNOLOGICAL PROCESSES OF LOCKSMITH AND WELDING FUNCTIONING

2020 ◽  
Vol 13 (2) ◽  
pp. 12-21 ◽  
Author(s):  
Alla Zvyaginceva ◽  
Svetlana Sazonova ◽  
V. Kul'neva
Keyword(s):  
Quantitative Estimation ◽  
Plasma Cutting ◽  
Technological Processes ◽  
Limit Value ◽  
Slight Excess ◽  
Analytical Assessment

A basic list of polluting components released into the air zone of production sites of the metalwork and welding division of the VASO facility has been established, with differentiation into 6 sectors with emission generators. It was found that the greatest contribution to the overall background of polluting components accumulation in terms of quantity is made by 2 sites: sandblasting and gas welding, the sector of plasma cutting and alloys based on it is distinguished by the variety of components allocated. Quantitative estimation of gross and maximum one-time emissions has been implemented. Analytical assessment recorded by: inorganic dust with SiO2 over 70 %, fixed at sandblasting sector, a slight excess of MPC and sector gas welding in the NO2 limit value with the MPC.

scholarly journals Technological inheritability of product properties at the development and production stage of its Life Cycle

2021 ◽  
Vol 4 (135) ◽  
pp. 119-134
Author(s):  
Yaroslav Kusyi ◽  
Andrii Kuk
Keyword(s):  
Life Cycle ◽  
Quality Parameters ◽  
Life Cycles ◽  
Information Support ◽  
Material Degradation ◽  
Technological Processes ◽  
Production Stage ◽  
Rational Combination ◽  
Technical Systems ◽  
The Mathematical Model

The relationships of technological providing of standart quality parameters of products with the substages and stages of their Life Cycles is analyzed. The prognostic nature of the relationships between the functional properties of the product and the technology of their providing requires thorough theoretical and experimental research for the modern mechanical manufacturing. The priority of information support of modern mechanical engineeering production in the conditions of self-organization of technical systems at designing of technological processes of products manufacturing is noted. The general laws of evolution of technical systems are formed on the basis of system functional, morphological, informational analysis by studying the relationships and interactions of functional, morphological and informational description. The actuality of the study of the processes of damage accumulation and material degradation for the characteristic types of products destruction is argued. The expediency of a synergetic approach in the analysis of technical objects and technological systems is established.The goal of this research is to develop a principal scheme for the formation of quality parameters of part with predict of the probability of its failure in manufacturing, taking into account the technological inheritability of properties. The basic scheme of formation of products quality parameters taking into account all substages of development and production stage of its Life Cycle is developed. The mathematical model for predicting the probability of non-defect production P (t) of products suitable for further operation, taking into account technological inheritability, is proposed. Further research is related to the optimization of design and technological solutions and the structure of technological processes, taking into account the technological inheritability with a rational combination of blanking, intermediate, finishing and final-strengthening operations.

scholarly journals Development of a knowledge base for modeling the physicochemical properties of metallurgical systems and processes

2019 ◽  
pp. 193-204
Author(s):  
D.N Togobitskaya ◽  
A.I Belkova ◽  
D.A. Stepanenko
Keyword(s):  
Physicochemical Properties ◽  
Knowledge Base ◽  
Experimental Information ◽  
Theoretical Research ◽  
Iron And Steel ◽  
Technological Processes ◽  
Research Software ◽  
End To End ◽  
Slag Melts ◽  
Metallurgical Processes

The Institute of Ferrous Metallurgy created the Knowledge Base “Metallurgy” (BDMet). It can be used to model the physicochemical properties of metallurgical systems and processes based on modern computer information technology. The aim of the work is to develop the fundamental foundations and identify the main directions of development of PMD, expand the presentation of fundamental, technological and regulatory reference information for analysis and multi-criteria optimization of technological processes. A component of BDMet is also the Base of models of metallurgical systems and technological processes, applied and theoretical research software. The database contains experimental data on the physicochemical properties of metal and slag melts formed from the corresponding charge materials in reducing and oxidizing conditions. The results of relevant scientific and applied developments of the department of physicochemical problems of metallurgical processes are shown. It is noted that the presence in the BDMet of the stock of models according to redistribution and a unified methodology for their creation on a modular basis allows the generation of models into a single end-to-end model. It also allows you to identify the optimal scheme of metallurgical processes and ensure the production of metal of a given quality in the framework of end-to-end technology. It is shown that the use allows us to solve the problems of optimization of technological processes for the production of iron and steel. The prospects for the development of further studies for systemic accumulation in the databases of documentary factual data and experimental information on the properties of metal and slag melts, as well as their further use in reduction and oxidation processes of metallurgical production, are determined.

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