CONSTRUCTION OF STATISTICAL MODELS OF CHEMICAL AND TECHNOLOGICAL OBJECTS ON THE BASIS OF A COMPLETE FACTOR EXPERIMENT

Olga Prishchenko, Tetyana Chernogor
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Abstract

The article deals with the construction of a mathematical model of the process, which is created based on the results of a full factorial experiment. Often, only the results of experimental studies carried out at such objects are the information, based on the processing of which, according to the obtained mathematical model of the object, a high-quality control algorithm for this object can be implemented. At the same time, the construction of a mathematical model that describes the technological process with the required accuracy often involves a huge amount of work at the stage of experiments. The task of planning experiments is to establish the minimum required number of them and the conditions for their implementation, to choose methods for mathematical processing of the results, and to make decisions. Designing experiments significantly reduces the number of experiments required to obtain a process model. An active experiment involves a purposeful choice of factor values. Compared to a passive experiment, such an experiment turns out to be more efficient and economical, since the amount of experimental work is significantly reduced. In this article, in relation to chemical technology, the issues of organizing an experiment, mathematical processing of experimental data and mathematical planning of an experiment in the search for optimal conditions for conducting a technological process are described. Mathematical modeling and optimization of chemical technology objects is of great importance for obtaining higher professional education for students of the Educational and Scientific Institute of Chemical Technology and Engineering.
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在全因子实验的基础上建立了化工和工艺对象的统计模型
本文在全因子实验的基础上建立了该过程的数学模型。通常,只有在这些对象上进行实验研究的结果才是信息,在此基础上进行处理,根据得到的对象的数学模型,可以实现对该对象的高质量控制算法。与此同时,在实验阶段,建立一个精确描述工艺过程的数学模型往往需要大量的工作。计划实验的任务是确定实验所需的最少数量和实施实验的条件,选择对结果进行数学处理的方法,并作出决策。设计实验可以显著减少获得过程模型所需的实验次数。主动实验包括有目的地选择因子值。与被动实验相比,这种实验更有效,更经济,因为实验工作量大大减少。在这篇文章中,关于化学技术,组织一个实验,数学处理实验数据和数学规划的问题,以寻求进行工艺过程的最佳条件。化工技术对象的数学建模与优化对化工技术与工程教育与科学学院学生获得高等专业教育具有重要意义。
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