The definition and existence criterion are given for the generalized-periodic motions of a certain wide class of systems. The class contains all the systems that can be characterized by the classical ...periodic operator of displacement, the systems generated by the Volterra integral equations, and some others. A relationship is established between generalized-periodic motions and integral invariant sets.
A method for constructing approximate analytic solutions of systems of ordinary differential equations with a polynomial right-hand side is proposed. The implementation of the method is based on the ...Picard method of successive approximations and a procedure of continuation of local solutions. As an application, the problem of constructing the minimal sets of the Lorenz system is considered.
This article shows the prediction method of conditions of flange joints depressurization during the assembly of pipelines using technological and standard fasteners.
We present a method for constructing the minimal sets of autonomous systems of ordinary differential equations with polynomial right-hand side. The implementation of the method is based on the ...construction of a discrete dynamical system along the solutions of the original system. As an application, we give an approximate construction of minimal sets of the Lorenz system.
Abstract
The article presents a method of holographic research of non-stationary deformations of a surface by method of two exposures, one of which is carried out in its static state, the other in ...motion. The derivation of formulas for quantitative analysis of the obtained interferograms for a number of typical cases of surface motion is given, as well as a general algorithm for determining the displacements from the interferogram. The features and results of approbation of the method are given. It is shown that the method is very broad in the application of holographic interferometry. Its application makes it possible to obtain highly informative qualitative and quantitative data on the field of unstable displacements of the test element at any moment of its deformation, using for this purpose low-power continuous-wave lasers (instead of expensive high-power sources) and, accordingly, relatively inexpensive and compact holographic measuring devices.
We present a method for constructing minimal sets of classical dynamical systems. We show that, in a compact metric space, this method permits one to find all minimal sets contained in the limit sets ...of motions.
One of the worldwide modern instruments to increase power efficiency is the price-dependent electricity consumption. It is one of the elements in managing the demand for power consumption. The ...programs of price-dependent power consumption are globally relevant. However, in Russia, their development is still on a conceptual phase. This paper analyses regional tariffs for the power transmission from the perspective of encouraging consumers to price-dependent demand management for electricity consumption. We examine the structure of final electricity tariffs for various categories of consumers as well as identify the percentage rate for the electricity transmission for each category. We consider the methodology of single-part and two-part tariffs for electricity transmission, their structure, and advantages of application. On the example of Volga Federal District tariffs, we have calculated single-part and two-part tariffs for the power transmission in industrial enterprises in terms of three typical schedules of electricity consumption. To compare the efficiency of the price-dependent demand management for the electricity transmission in different regions of Russia, we have introduced the indicators “coefficient of the transmission tariff” and “integral coefficient of the transmission tariff”. Furthermore, we made calculations for 65 regions of Russia entering the price zones of power wholesale market. As a result of the analysis, we divided Russian regions of Russia according to the indicator of “integrated coefficient of transmission tariff” in 3 administrative groups. For each group, we have developed recommendations on pricedependent demand management for power transmission. The theoretical significance of the research consists in the development of methods for the analysis and selection of the most appropriate industrial enterprise tariff for electricity transmission. In practice, regional authorities can use the developed groups of regions to change the structure of regional tariffs in order to stimulate consumers to price-dependent power consumption. Moreover, the algorithm for calculating tariffs for electricity transmission can be applied by the industrial Russia enterprises in price-dependent demand management of power consumption to choose an optimum tariff and reduce costs on power transmission.
One of the promising areas of increasing energy efficiency used in international practice is the demand-side management (DSM). It is implemented through price-dependent management of the schedule of ...consumers’ demand for electric energy. Considering significant share of expenditures on electric power in the structure of the large consumers’ energy consumption, we analysed the potential for introducing price-dependent management of expenditures on electric power as a tool for managing demand for electricity in the Russian regions. The study’s information base were price characteristics of the supply of electric power, the actual hourly demand for electricity consumption, and the number of hours of the combined daily maximum of the Russian regions’ electric power system for the period from 2016 to 2018. We applied the following methods: analysis and synthesis, mathematical and statistical analysis, method of constructing positioning maps. We developed a map for assessing the predictability of the hour of the daily maximum of a regional electric power system, the level of which determines the possibility of using price-dependent management in general. The map demonstrates the ratio of the developed indicators “Integral indicator of the cyclical nature of the regional energy system” and “Integral indicator of the energy system’s maximum in Russia”. Additionally, we used the unifying characteristics “Integrated indicator of the predictability of the hour of a regional energy system’s combined maximum” and “the coefficient of the price of electric power”. That allowed us to group the Russian regions in accordance with the degree of appropriateness of using price-dependent mechanisms for managing energy expenditures by the component “cost of electric power”. The study’s main result is the development of new tools for assessing the potential of using price-dependent management of expenditures on electric power, such as a “predictability map” and a regional grouping. We elaborated a set of methods for assessing the degree of potential efficiency in the use of price-dependent management of expenditures on electric power by electricity consumers in the Russian regions. The proposed approach can be used for developing federal and regional programs for the integrated demand-side management for electricity consumption.
One of the promising areas of increasing energy efficiency used in international practice is the demand-side management (DSM). It is implemented through price-dependent management of the schedule of ...consumers’ demand for electric energy. Considering significant share of expenditures on electric power in the structure of the large consumers’ energy consumption, we analysed the potential for introducing price-dependent management of expenditures on electric power as a tool for managing demand for electricity in the Russian regions. The study’s information base were price characteristics of the supply of electric power, the actual hourly demand for electricity consumption, and the number of hours of the combined daily maximum of the Russian regions’ electric power system for the period from 2016 to 2018. We applied the following methods: analysis and synthesis, mathematical and statistical analysis, method of constructing positioning maps. We developed a map for assessing the predictability of the hour of the daily maximum of a regional electric power system, the level of which determines the possibility of using price-dependent management in general. The map demonstrates the ratio of the developed indicators “Integral indicator of the cyclical nature of the regional energy system” and “Integral indicator of the energy system’s maximum in Russia”. Additionally, we used the unifying characteristics “Integrated indicator of the predictability of the hour of a regional energy system’s combined maximum” and “the coefficient of the price of electric power”. That allowed us to group the Russian regions in accordance with the degree of appropriateness of using price-dependent mechanisms for managing energy expenditures by the component “cost of electric power”. The study’s main result is the development of new tools for assessing the potential of using price-dependent management of expenditures on electric power, such as a “predictability map” and a regional grouping. We elaborated a set of methods for assessing the degree of potential efficiency in the use of price-dependent management of expenditures on electric power by electricity consumers in the Russian regions. The proposed approach can be used for developing federal and regional programs for the integrated demand-side management for electricity consumption.
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