Abstract
The objects of the study were diagnostic features that allow determining the quality of controlling temperature modes of induction crucible melting. For this, in the normalized space of feature factors, which are the content of SiO2 and FeO+Fe2O3 in slag, a discriminant function is constructed and a decision rule is obtained in the form of a linear classifier, which allows determining in which mode the process was carried out. It is shown that this rule is the basis for identifying an event qualified as a parametric failure, and it can be included in the general structure of the parametric failure function.
 The parametric failure function constructed for the temperature control system of induction crucible melting makes it possible to ascertain that the control system does not meet the specified requirements for a specific temperature mode of melting. The mechanism of inferencing regarding the occurrence of a parametric failure based on this function is as follows. If the decision rule showed that the object belongs to the “low-temperature mode” class, although the process under these conditions should have been carried out in the high-temperature mode, a parametric failure is recorded. In this case, the numerical value of this function takes the value of “1”, otherwise – “0”. The inferencing mechanism works similarly if, on the basis of the decision rule, it is revealed that the process was carried out in the high-temperature mode, although under these conditions it should have been carried out in the low-temperature mode.
 Based on the constructed parametric failure function, practical problems related to planning maintenance of the temperature control system integrated into the melting complex or organizational and technical measures aimed at minimizing violations of the melting regulations can be solved
Highlights
Modern views on the issue of optimal regulation of thermal modes for melting ferrous alloys in induction melting furnaces are based on the need to follow the «all-inclusive» paradigm
In the given initial data, SiO2 (x1) was chosen as the first factor and FeO+Fe2O3 (x2) – as the second. They make it possible to judge the final state of the controlled melting process in acid-lined induction crucible furnaces, since the values of these factors depend on the temperature trajectory provided by the temperature control system
The parametric failure function obtained in the form of (14) or (15) allows recording the time points at which Δ(T) = 1, which form the flow of events qualified as parametric failures of the temperature control system of induction crucible melting
Summary
Modern views on the issue of optimal regulation of thermal modes for melting ferrous alloys in induction melting furnaces are based on the need to follow the «all-inclusive» paradigm It involves deep integration of electrical and automated solutions for the creation of melting systems, including using intelligent melting control elements. The importance of combining these two approaches, one representing the electric power aspect, and the other – the physicochemical aspect, is evident in solving the existing problems related to the quality control of the melting process This circumstance is noted in [8], where, to solve the problem of choosing the optimal melting strategy, an attempt was made to use the ideas of the statistical game theory and the synthesis of an optimal temperature controller based on a multi-alternative description of the final state [9]. The final state is described by a family of suboptimal solutions in a parametric form by means of ridge analysis of a mathematical model of the «composition – property» type [10, 11], which are built on the basis of regression analysis, including the use of artificial orthogonalization methods [12]
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