Akhiezer E. Mathematical design of nonstationary stochastic power stream based jn triangular model

Research object is nonstationary stochastic process of day's consumption of electric energy within the limits of separate region; research purpose is development of mathematical model of nonstationary stochastic power stream on the basis of three-cornered model; research methods and apparatus – description of separate classes of nonstationary processes is based on the methods of theory of casual processes, functional analysis the-ory of linear algebra, and linear operators; construction of methods of mathematical models is based on the theory of nu-meral decisions of the systems of differential equations and the-ory of functions of complex variable; theoretical and practical results – there was the offered model of nonstationary casual processes with a discrete or continuous spectrum on the base of three-cornered presentations of operators; built model of short-term consumption of electric power and different casual influ-ences on the working systems transmission and workplace of driver of caterpillartractors; novelty – the spectral time-tables are for the nonstationary stochastic processes of the special kind; mathematical models are improved for nonstationary casual processes which have a discrete or continuous spectrum; the method of short-term prognosis of day's consumption of electric energy is created on the basis of three-cornered model; found subsequent development simulation model, that describes nonstationary casual processes which take place in the hydraulic system of transmissions of transports vehicles; degree of introduction – in researches and project-designers organizations, which are busy at of prognosis of consumption of power resources or decide the tasks related to the design of stochastic processes in technical devices; the sphere of the use is mechanical engineering, power industry.