Modelling differential equations by basic information technology means

Author(s):  
Maria Brielmann
2021 ◽  
Vol 4 ◽  
pp. 105-116
Author(s):  
Valeriy Severyn ◽  
◽  
Elena Nikulina ◽  
◽  

Mathematical models of the WWER-1000 nuclear power reactor have been developed with division into zones along the vertical axis in the form of nonlinear systems of differential equations with dimensionless relative state variables. Models in a given number of zones along the vertical axis represent neutron kinetics, gradual heat release, thermal processes in fuel, cladding and coolant, changes in the concentration of iodine, xenon and boron. The parameters of mathematical models have been calculated based on the design and technological parameters of the V-320 series nuclear reactor. A general model of the reactor as a control object with division into zones along the vertical axis, as well as models with control of absorbing rods and boric acid, are obtained. Integration of the obtained systems of differential equations for given initial conditions allows one to obtain changes in all state variables in the reactor zones along the vertical axis. In particular, from the change in power in the zones along the vertical axis, the axial offset is calculated as the relative value of the difference between the powers of the upper and lower halves of the reactor core. The developed reactor models with dimensionless relative state variables use a minimum number of calculations, allow calculating the change in the axial offset, and are included in the information technology for controlling the power units of nuclear power plants to optimize the maneuvering modes of the WWER-1000 V-320 series reactor.


2012 ◽  
pp. 286-305
Author(s):  
Christian Welzel ◽  
Heiko Hartenstein ◽  
Jörn von Lucke

Core Directories are content infrastructure elements for interoperable use in service oriented architectures. They capsulate basic information to a generic structure offering easy access and transparency. The design and research activities focused on specification, a generic approach, globally unique identification of objects and development of an example application. Moreover, requirements and advantages of the concept were discussed and directed to information management issues. Key objective is the modernisation of the information technology used in and between administrations. The interdisciplinary approach is a challenge for the constitution of next generation e-Government networks. The chapter describes the strategic and operative standardisation activities, the concept of Core Directories and the example application service responsibility finder. Furthermore, an outlook for some research activities and projects on this topic is given.


2011 ◽  
Vol 59 (1) ◽  
pp. 3-23 ◽  
Author(s):  
Anatolij Budagovskyi ◽  
Viliam Novák

THEORY OF EVAPOTRANSPIRATION: 1. Transpiration and its quantitative descriptionBasic information about the evapotranspiration and its components is presented. System of equations describing the transport of water and energy in the soil - plant continuum is analyzed. The system of five differential equations with five unknowns is proposed, describing transport of heat and water vapour within the plant canopy, including exchange processes among the leaves and the atmosphere, vertical transport of the heat, water vapour and the energy balance.


Author(s):  
Christian Welzel ◽  
Heiko Hartenstein ◽  
Jörn von Lucke

Core Directories are content infrastructure elements for interoperable use in service oriented architectures. They capsulate basic information to a generic structure offering easy access and transparency. The design and research activities focused on specification, a generic approach, globally unique identification of objects and development of an example application. Moreover, requirements and advantages of the concept were discussed and directed to information management issues. Key objective is the modernisation of the information technology used in and between administrations. The interdisciplinary approach is a challenge for the constitution of next generation e-Government networks. The chapter describes the strategic and operative standardisation activities, the concept of Core Directories and the example application service responsibility finder. Furthermore, an outlook for some research activities and projects on this topic is given.


2021 ◽  
Vol 5 ◽  
pp. 45-56
Author(s):  
Valery Severyn ◽  
◽  
Elena Nikulina ◽  

The structure of information technology for modeling control systems, which includes a block of systems models, a module of integration methods and other program elements, is considered. To analyze the dynamics of control of a nuclear reactor, programs of mathematical models of a WWER-1000 nuclear reactor of the V-320 series and its control systems in the form of nonlinear systems of differential equations in the Cauchy form have been developed. For the integration of nonlinear systems of differential equations, an algorithm of the system method of the first degree is presented. A mathematical model of a WWER-1000 reactor as a control object with division into zones along the vertical axis in relative variables of state is considered, the values of the constant parameters of the model and the initial conditions corresponding to the nominal mode are given. Using information technology for ten zones of the reactor, the system integration method was used to simulate the dynamics of control of a nuclear reactor. Graphs of neutron and thermal processes in the reactor core, as well as changes in the axial offset when the reactor load is dumped under the influence of the movement of absorbing rods and an increase in the concentration of boric acid, are plotted. The analysis of dynamic processes of reactor control is carried out. The programs of integration methods and models of the WWER-1000 reactor of the V-320 series are included in the information technology to optimize the maneuvering modes of the reactor.


2014 ◽  
Vol 1046 ◽  
pp. 440-443
Author(s):  
Xiao Xiong Zhou ◽  
Tao Yan

The traditional class naming is take time, the effect is not good, and there will be many take another's place by counterfeiting phenomenon, So, this paper proposes a random naming system based on image processing. This paper establishes the database class students, including students some basic information, such as name, student number, photos; then establishes a random roll call system, which the teacher can random name evaluation, for students grades and attendance; finally, test system and further improve . Because the roll call to show the students the image clear based on image processing , avoid take another’s place by counterfeiting phenomenon, student performance improved significantly. The test results show that the random naming system we developed, convenient for teacher to student's attendance and can improve student the attendance.


2006 ◽  
Vol 21 (11) ◽  
pp. 1150-1155 ◽  
Author(s):  
Richard W. Grant ◽  
Eric G. Campbell ◽  
Russell L. Gruen ◽  
Timothy G. Ferris ◽  
David Blumenthal

Sign in / Sign up

Export Citation Format

Share Document