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Information × Registration Number 0219U000260, 0115U000034 , R & D reports Title Research and development of physical and mathematical models of processes in conditions of uncertainty popup.stage_title Head Klimenko Vitalii, Gorban Igor, Registration Date 24-01-2019 Organization The Institute of Mathematical Machines and System Problems of NAS Ukraine popup.description2 Object of research - real physical objects and processes. The purpose of the work is to establish the limits of the possibility of using the classical probability theory and mathematical statistics, the development of new physico-mathematical simulation methods under uncertainty, taking into account the statistical instability of real phenomena (events, quantities, processes and fields), as well as the development of models of electromagnetic field in power transformers . Subject of research - statistical constancy of processes in real physical objects Methods of research are physical and mathematical theory of hyper-random phenomena, graph theory, methods of computational mathematics, the theory of electric circles, the mechanics of core systems, the method of finite elements, as well as modern methods of computer algebra, developed by the IPMMS of the National Academy of Sciences of Ukraine. The results of the GDR show that with significant violations of the statistical the stability of the use of the classical deterministic-random model measurement and measuring methods based on it leads to unacceptable large errors; developed a method for measuring physical quantities in statistical conditions that are unpredictably changing. 6 The effectiveness of the new method is demonstrated; for physical processes large Duration proposed a new modification of the method of measuring the intervals statistical stability, which provides more accurate estimates of intervals Statistical stability with respect to the mean and the mean square deviation; A new method for measuring physical quantities on large intervals of observation in violation of the statistical stability of the average. New mathematical methods for solving ill-conditioned (incorrect) tasks in the form of a system of linear algebraic equations (SLAR) for stable physical (technical) objects are proposed; It was found that for a description of a physical object (electric circuit, power system, rod system of mechanics, discrete object model, which is described by a linear elliptic equation) a method is used that uses a fixed basis of SLR variables, and the approach to choosing a basis is common to listed types of objects; For the first time a method of forming a mathematical model in which the basis of SLR variables is selected taking into account the properties of the parameters of the mathematical model of a particular physical object; it is proved that the method, which is usually used to describe the discrete model of these physical objects, is a special case of the developed method of compiling a mathematical model; the technique of transformation of an incorrect СЛР matrix is ??developed compiled by the method, which, of course, is used to describe a discrete model listed physical objects, to the correct form. The SLR matrix must be non-degenerate and symmetric. The technique includes the one proposed for the first time criterion of matrix estimation for correctness and recommendations for transformation incorrect matrix to the correct form. 7 The correctional physical and mathematical models of electromagnetic phenomena, which provide an adequate reflection of electromagnetic and magneto- magnetic induction in transformers. The proposed magnetic mode of transmission of energy from an AC source to a load. Existing prototypes of transformers of electric energy into heat that are developed is characterized by high efficiency and the property of heat energy accumulation. A new high-level approach to distributed processing has been developed management that allows you to find real-time solutions for irregular ones and crisis situations that may occur at any time and in different parts of the world. The proposed model and technology are based on the coverage of distributed dynamic systems with the help of self-navigating spatial templates capable of self-propagation and self-modification, which are specified in a special high-level recursive language. Product Description popup.authors Є.О. Бондаренко І.В. Четіна В.Г. Бутко В.М. Грінчук В.О. Дмитренко В.П. Волобоєв Г.А. Сікорський Л.В. Остапчук М.І. Проценко М.Г. Ієвлєв Н.Г. Аронова Н.С. Лутова О.В. Ґедзь О.Д. Бех П.С. Сапатий С.Є. Мойсеєнко С.Д. Лутов Т.П. Левкова Ю.Г. Коровицький popup.nrat_date 2020-04-02 Close