Abstract: The subject of the research is the method of reducing the spark load and commutation noise by separating the power elements of thermal plants. The object of the research is thermal installations. The aim of the research is to develop a method for separating the power elements of thermal plants in order to reduce the switching currents when performing thermal control. In the course of their research the authors have conducted simulation based on the example of a heating installation. The results of simulation and comparison of the systems with separation and without separation of the thermal circuits show the efficiency of the application of the separation method to reduce the switching currents while maintaining the admissible system characteristics by the cosφ criterion. The authors also offer their method for reducing switching currents in the process of temperature control of the temperature of thermal installations by transition from one power element of the thermal installation to several, the power of which is distributed in proportion to the first members of the Fibonacci series. The analysis carried out in the research has showed the possibility of reducing switching currents by increasing the number of thermal circuits. The possibility of reducing the switching voltages in several times is demonstrated. The authors offer to divide powers between consumers (thermal loops or cryogenic elements) in proportion to several first terms of Fibonacci numbers. The typical feature for dividing the system into several power circuits is the increase in reacting power. The authors offer the method to return part of the reacting power in thermal plants by back connection of thermal spiral elements. 
 

Abstract: In their article the authors provide their results on systematization of methods for computational optimization of the transformation of color spaces based upon the application of fixed-point arithmetic. The authors formulate the goals and analyze the key problems arising in the situation of computational optimization in the process of color space formation from the standpoint of the speed of operation increase. The principles of transition from a floating point format to a format with a fixed point are stated. The authors also provide an example for the analysis of computational optimization  for the mutual transformation of RGB and Y709CbCr. In this article the authros consider the method of computational optimization of the transformation of color spaces based on the application of fixed-point arithmetic. When applying the considered principle of practical implementation, the computation time for an image of 4134x2756 on an Intel Core 2 Duo processor becomes 18 times less. This is a very significant increase in productivity. It is not too difficult to apply this approach to other similar calculations, especially on modern 64-bit and 128-bit processors, when the necessary values fit into a single processor register.

Abstract: The object of study involves the method for assessing the quality of technical interoperability means in the open information systems in accordance with the model of interoperability under the GOST R 55062-2012. The author proposes a method for calculating the estimated characteristics of technical interoperability based upon the evaluation of detection and transformation of data formats by nodes of an open information system. As an example the article includes  practical assessments of technical interoperability based upon  the criteria for detecting and converting formats, and some software packages for processing graphic images. It is noted in the article that if there is need to observe the evolution of the interoperability of the information system, it is then necessary to preserve the methodological basis for the formation of the initial parameters. The proposed estimation method is based upon the laws of information theory and it is determined by a formal model allowing to calculate the particular and general information entropy characterizing the technical interoperability as the ability of the information system under investigation to detect data in various formats and the ability of the information system under investigation to produce correct data transformations in various formats. The main result of the research is the developed method of estimating technical interoperability that allows to make a numerical estimation of the properties of technical interoperability allowing for the format detection and transformation. The practical result of the study is that it enables the numerical evaluation of interoperability, allowing one to monitor the dynamics of interoperability of various systems under conditions of interaction with a continuously changing inter-system information space.

Abstract: Methods and techniques allowing to calculate quantitative estimates of level of protection from unauthorized physical intrusion for different informatization objects using various means and protection systems are currently being intensively developed. Generally the quantitative evaluation of protection is represented by a set of probability characteristics, the predominant of which is some integral indicator. Therefore, developing mathematical and simulation models for calculating an estimate of informatization object protection from unauthorized physical access is an urgent task. This model then is used as a part of a complex system of information security. To solve this problem the article presented uses methods of information protection, graph theory and probability theory. The results shown in the article were calculated using Maple system of computer algebra. Scientific novelty of the work is: – in creating a mathematical model for calculation the probability of detecting of unauthorized physical access to information by an alarm system;
– in bulding of a simulation model for evaluation of level of protection of informatization object from unauthorized physical access;
– in developing of a technique of evaluation of full protection from unauthorized physical access for object of informatization

Abstract: To study the characteristics of the process of functioning of any system of mathematical methods, including the engine, should be carried out formalization of the process, ie. a mathematical model. By mathematical modeling we mean the process of establishing compliance with this real object of a mathematical object (mathematical model), and the study of the mathematical model, which allows to obtain characteristics of this real object. A type of a mathematical model depends both on the nature of the real object and tasks of the research and the required reliability and accuracy of the solution of this problem. Any mathematical model, like any other, describes the real object only with a certain degree of approximation to reality. This paper presents a method for calculating interim solution in n-dimensional problem with boundary conditions, contributing to the acceleration of the convergence process of a finite difference method. In the practical implementation of this method the number of iterations to achieve a given residual was reduced to 10 - 100 times, due to the search of the intermediate solutions. Thus, this method can be used to significantly improve the efficiency of a finite difference method.