Statistical Procedures for Two-Sided Limit of a Controlled Parameter in the Process of Production of Cable and Wire Products

Abstract

Purpose. To consider issues of statistical control in the process of mass production of cable and wire products on the example of enameled wire. To analyze the results of direct control of the diameter of the wire in two-layer polyimide insulation in a continuous technological cycle. To submit to the control map of maximum probability of the exit diameter outside a specific range. To analyze the conditions under which maximum sensitivity of process control. Methodology. Study of the sensitivity of the control map of maximum probability of the exit option for regulatory of limit in the field deviations of the centered parameter close to zero. The existence of stable trends in the change of a controlled parameter can reduce the sensitivity of punishment to instability of the process. Results. To achieve maximum sensitivity of control of the technological frontier should be selected on the basis of the achieved level of the average value of the parameter and its statistical scattering. Process boundaries must be changed in accordance with the achieved level of the average value of the parameter and its statistical scattering. Such a change may serve as a quantitative indicator of trends in the increase or decrease in the reliability of the technological system. Originality. In particular the tasks of current control using engineering tolerances for controlled parameter are impractical. Control on P max should be directed to the exception of manufacturing, the parameters of which extend beyond the technical tolerances. Practical value. The exception is the manufacture of bulk cable products, the parameters of which extend beyond the technical tolerances. References 5, figures 1. Key words: enameled wire, double polyimide insulation, control card, maximum probability of the parameter exit for the regulatory limit.Рассмотрены вопросы статистического контроля в процессе производства массовой кабельно-проводниковой продукции на примере эмальпроводов. Получены результаты непосредственного контроля диаметра эмальпровода с полиимидной двухслойной изоляцией в непрерывном технологическом цикле. Представлена контрольная карта максимальной вероятности выхода диаметра за пределы определенного диапазона. Библ. 5, рис. 1. Ключевые слова: эмальпровод, двойная полиимидная изоляция, контрольная карта, максимальная вероятность выхода параметра за нормативный предел.

A Statistical Model of Monitoring of Insulation Breakdown Voltage Stability in the Process of Enameled Wires Production

“…The concept of «Six Sigma Methodology» is a demonstration of the achievements of leading manufacturers and does not include a methodology for achieving achievements (why not «7σ»?). And the more the technological cycle is automated, the problem of organizing the use of the modern system of technological online defectiveness monitoring is more urgent, since between the tasks of receiving and current technological monitoring there is a significant theoretical and technical difference [4]. The problem of organizing active online technological monitoring is conceptualized for automated mass production.…”

Online Technological Monitoring of Insulation Defects in Enameled Wires

“…And the more the technological cycle is automated, the more this problem becomes actual. At the same time, its solution requires the adoption of non-standard technical and technological solutions, since there is a significant theoretical and technical difference between the tasks of acceptance and current technological control [4]. The problem of the organization of active technological control is conceptual for a modern, mass productionoriented, development and automation company.…”

“…Therefore, the statistical procedure for processing the results of technological control requires the development of an algorithm for processing and presenting the results; Algorithm of decision making. The above general concept of technological control [4] is relevant. Its specific implementation in automated and high-speed continuous technological cycles of modern cable production requires, in addition to almost instantaneous efficiency (on-line mode) [2,3,5] solutions to a number of problems: scientific and technical.…”

“…For example, when controlling the diameter of the enamel wire D, a statistical procedure is used to estimate the maximum probability Р max of the output of the controlled parameter ΔD beyond the limits of the range Ẹ…Ė, defined as the sum of the corresponding probabilities of the parameter output for one-sided boundaries [4]. Moreover, the probability of a controlled parameter ΔD going beyond the lower limit is taken with a minus:…”

“…This fundamental difference was noted by specialists [4]. The task of technological control is to ensure the possibility of active correction of the technological process, which is impossible without the identification of definable technological causes of the trend of the controlled parameter.…”