Construction of a mathematical model of the signal propagation of the data exchange system between the control unit and the actuators located in the reactors of specialized chemical-technological equipment

2021 ◽  
Author(s):  
A.A. Kharchenko ◽  
S.I. Vidyakin ◽  
L.A. Tishchenko
Keyword(s):  
Mathematical Model ◽  
Magnetic Induction ◽  
Data Exchange ◽  
Control Unit ◽  
Signal Propagation ◽  
Metallographic Analysis ◽  
Telemetry System ◽  
Technological Equipment ◽  
Exchange System ◽  
The Mathematical Model

This paper presents a method for compiling a mathematical model of the signal propagation of the data exchange system between the control unit and the actuators located in the reactors of specialized chemical-technological equipment. The case of the implementation of a modern telemetry system and the main problems in the development of these systems are considered. To develop a mathematical model, a method was written for calculating the EMF of the secondary winding for the system under consideration, namely, the transformer with an open core. The search for a rational frequency for the simulated system is performed. The values of the magnetic induction for different distances between the windings are obtained. The scheme for studying the dependence of the magnetic induction on the magnetic field strength is assembled. To determine the grain size, a metallographic analysis of the pipeline microstructure was performed. The necessity of comparing the experimental data and the data obtained by theoretical calculation is revealed; corrections of the mathematical model are made. The signal propagation range was predicted at a distance of about a meter. Based on the comparison of the mathematical model and the experiment, it is necessary to adjust the first one and develop a methodology for choosing rational parameters of the telemetry system for designing a data exchange system. The developed mathematical model for estimating the parameters of the propagation of the e / m wave allows us to predict the propagation of the signal at a given distance.

Research on Application of UPQC in Electric Vehicle Charging Equipment

2015 ◽  
Vol 734 ◽  
pp. 852-857
Author(s):  
Cheng Gong ◽  
Rui Shi ◽  
Zhong Jun Chi ◽  
Bao Qun Zhang ◽  
Long Fei Ma ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Electric Vehicle ◽  
Power Quality ◽  
Control Unit ◽  
Current Control ◽  
Electric Vehicle Charging ◽  
Vehicle Charging ◽  
Reference Parameters ◽  
Research On Application ◽  
The Mathematical Model

In order to improve the power quality problems caused by electric vehicle charging equipment, this paper put forward the research on Application of Unified Power Quality Controller (UPQC) in the charging field. Based on the mathematical model of UPQC, current control unit with state feedback single loop PI controller and voltage control unit based on dual PI loop controller are designed. Based on the mathematical model, the design reference parameters are derived. Finally, a UPQC prototype is developed and experiment is carried out, results show that UPQC has good application prospect in the field of electric vehicle charging.

Modeling and Simulation of the Propagation Characteristics by Underground Current Field

2013 ◽  
Vol 385-386 ◽  
pp. 1568-1571
Author(s):  
Yi Dong Xu
Keyword(s):  
Mathematical Model ◽  
Signal Transmission ◽  
Signal Propagation ◽  
Underground Mines ◽  
Constant Current ◽  
Propagation Characteristics ◽  
Current Field ◽  
Channel Characteristics ◽  
Underground Communication ◽  
The Mathematical Model

It's one of the effective channels for short-distance wireless communications through stratum in underground mines on emergency communications. The geologic structure is complex in mines, in practical environments. It means there is a considerable difference in conductance property and channel characteristics. In order to realize effective communication through stratum, its necessary to explore and study underground signal transmission by establishing mathematical model of underground signal propagation characteristics based on the theory of constant current field and simulating the mathematical model with MATLAB. We established a simulation model of underground communication channel physics experiments and obtained the amplitude frequency characteristic of the channel, with which we can get the error comparison between theory and test.

Research and Design of Mechanical System Virtual Prototyping

2011 ◽  
Vol 52-54 ◽  
pp. 624-629 ◽  
Author(s):  
Chang Qing Ma ◽  
Xian Xi Liu ◽  
Bao Qing Dai
Keyword(s):  
Mathematical Model ◽  
Mechanical System ◽  
Data Exchange ◽  
Multibody System ◽  
Virtual Prototyping ◽  
Object Oriented ◽  
Key Points ◽  
The Mathematical Model ◽  
Research And Design ◽  
Model Topology

The effectiveness and actualities of mechanical system virtual prototyping software were summarized. The process from prototype to utility, commercialization and industrialization were analyzed in software engineering. The basic concept of practical improvement for a mechanical system virtual prototyping software was presented. The key points of the mathematical model, topology structure, constraint type, kinematic and dynamic simulation and data exchange were discussed by the theory of multibody system dynamics and the technique of object-oriented.

Mathematic Model of Displacement Control Unit for Screw Distributor of Asphalt Paver

2013 ◽  
Vol 774-776 ◽  
pp. 295-298
Author(s):  
Zhi Nan Mi ◽  
Long An Chen ◽  
Jia Tao Tang
Keyword(s):  
Mathematical Model ◽  
Hydraulic System ◽  
Control Unit ◽  
Mathematic Model ◽  
Displacement Control ◽  
Rotating Speed ◽  
Dynamical Characteristics ◽  
Inertial Element ◽  
The Mathematical Model

Displacement control unit is an important part of hydraulic system for screw distributor. By adjusting the angle of swashplate, it can change the flow rate of pump and rotating speed of screw distributor. The rotating speed of screw distributor has influence on quality of road. The mathematical model of displacement control unit is presented. Its dynamical characteristics are analyzed. The mathematical model includes a reset spring gradient. The reset spring gradient is much smaller than the hydraulic spring rate, the effect of the reset spring gradient can be neglected. So an inertial element can be substituted by an integration element.

scholarly journals SUPPORT FOR VIBRATION ISOLATION OF THE TECHNOLOGICAL EQUIPMENT

2019 ◽  
Vol 15 (6) ◽  
pp. 866-876
Author(s):  
V. N. Sorokin ◽  
I. Yu. Efimov
Keyword(s):  
Mathematical Model ◽  
Elastic Element ◽  
Vibration Isolation ◽  
Negative Impact ◽  
Road Construction ◽  
Dynamic Loads ◽  
Toroidal Shell ◽  
Technological Equipment ◽  
Support Design ◽  
The Mathematical Model

Introduction. The most urgent tasks of road construction is to improve the sustainability of the roadway, on which the durability of the road surface largely depends and vibration processes are widely used. Moreover, the mechanization of production processes in  construction, the growth of power and speed of technological equipment lead to increasing in dynamic loads on its parts and assemblies. To reduce the dynamic loads in the parts and assemblies of construction machines and equipment, as well as to reduce the negative impact of vibration on the staff, it is necessary to isolate the vibration-generating units and assemblies from the base part of the machine.Materials and methods. The vibro-supports of various designs are used to isolate the vibro-active elements of machines. The authors propose the vibration support design with a quasi-zero stiffness effect, in which the rubber-cord shell of the I-09 type is used as a supporting elastic element, and also the toroid-shaped rubber shell that relies on four identical support segments. In addition, each segment represents the fourth part of the annular tube and cut into two parts by a vertical  cylindrical plane. The outer parts of each segment are connected with hinges to the posts and fixed on the support base, and the inner parts of each segment are also connected to a supporting elastic element and a  vibration-proof mass is connected by means of hinges. The authors describe the working procedure of the proposed construction and compile the mathematical model of vibration support with a quasi-zero stiffness  effect.Results. As a result, the equations of the mathematical model are performed in Matlab with the Simulink extension. The values of the equations are used to plot the strain variation of the toroidal shell of the corrector, which depends on the mass displacement, as well as on the motion patterns of a vibrationproof object of 100 kg for variants of the carrier spring without additional volume and with additional volume of the 1 - 10 Hz pneumatic spring carrier.Discussion and conclusions. The authors determine the pressure in the corrector shell, depending on the isolated object mass. Therefore, the deformation of the corrector shell could be provided with a support structure due to the elasticity of the shell material. The usage of additional volume together with the stiffness corrector allows to obtain a wider area of the load characteristics with quasi-zero stiffness and to improve the vibration-protective properties of the support.

scholarly journals МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ЭЛЕКТРОНАГРЕВНОЙ ДВИГАТЕЛЬНОЙ УСТАНОВКИ В ФОРМИРОВАНИИ МИКРОСПУТНИКОВОЙ ГРУППИРОВКИ

2018 ◽  
pp. 45-51
Author(s):  
Андрей Владимирович Погудин
Keyword(s):  
Mathematical Model ◽  
Transfer Functions ◽  
Block Diagram ◽  
Rocket Engine ◽  
Control Unit ◽  
Electric Heating ◽  
Propulsion System ◽  
Working Fluid ◽  
Space Vehicles ◽  
The Mathematical Model

The subject of the study in the article is the mathematical model of the propulsion system. It is built on the basis of the formed transfer functions of the elements. The goal is to rationalize the process of heating the onboard propulsion system on the basis of mathematical model under given constraints. Tasks: formalization of processes in an electric heating engine with a working body ammonia; formalization of the model of the onboard propulsion system; formation of the structural scheme; consideration of physical processes occurring in the nodes of the propulsion system; description of gas and hydraulic processes; the description of thermodynamic and electrokinetic processes; The construction of a mathematical model based on transfer functions. The methods used are: models of transfer functions of a tank, a filter, a steam generator, a receiver and a jet, an engine with their ranges of work. The following results are obtained. A block diagram of the onboard propulsion system was added, supplemented with a control unit and a power supply system. A formalized mathematical model of an onboard propulsion system with working body ammonia is created. From it formed a model consisting of the key elements that make up the onboard propulsion system, which is used when rationalizing the heating of the working fluid. The scientific novelty of the results is as follows. The mathematical model of the electro-heating propulsion system onboard small space vehicles has been further developed through its application to calculate the traction characteristics of the dispenser, which makes it possible to use an ammonia electric heating rocket engine in the formation of a constellation of satellites. The limitations of the operating parameters of the model are introduced. It was proposed to conduct the further workability of the model in Matlab Simulink. Thus, a rational value of the current and voltage parameters will be obtained, at which the time of the system's output to the operating mode will be minimal, and the thrust is maximum for the given operating temperature and pressure ranges

scholarly journals Research Results on Influence of Hydraulic Hammer Design Parameters

2021 ◽  
Vol 346 ◽  
pp. 03081
Author(s):  
Irina Teterin ◽  
Igor Ugrumov ◽  
Ivan Teterin ◽  
Andrey Korneev
Keyword(s):  
Mathematical Model ◽  
Control Unit ◽  
Type Structure ◽  
Design Model ◽  
Theoretical Research ◽  
Design Parameters ◽  
Theoretical Studies ◽  
Main Design ◽  
Hydraulic Hammer ◽  
The Mathematical Model

The article presents the results of the theoretical research on the influence of the design parameters on the output characterictics of a hydraulic hammer. The hydraulic hammer under the study has a hydraulic percussive mechanism of a permanent pressure-type structure with a spool free control unit. A design model of a hydraulic percussive mechanism with a spool free control unit has been developed. The mathematical model of the hydraulic percussive mechanism of a permanent pressure-type structure with a spool free control unit is presented. The oscillogram resulting from the theoretical studies, which defines the operation of the hydraulic percussive mechanism, is presented. A range of the rational zones for selecting the main design parameters of the hydraulic percussive mechnism is obtained.

A Laser Projection Device for Locating Points on the Plane Object

2012 ◽  
Vol 190-191 ◽  
pp. 1094-1098
Author(s):  
He Ding ◽  
Jian Fei Ouyang ◽  
Xiang Ma ◽  
Yong Gang Yan
Keyword(s):  
Mathematical Model ◽  
Image Processing ◽  
Digital Image Processing ◽  
Rotation Angle ◽  
Control Unit ◽  
Stepper Motor ◽  
Two Dimensional ◽  
Laser Pointer ◽  
Projection Device ◽  
The Mathematical Model

Digital image processing technology can extract the main feature of an image. In order to achieve the interaction between virtual points and plane objects, we propose the equipment for indicating points on the plane object using laser projection. We designed the equipment with a bracket, stepper motor, two-dimensional turntable, PC control unit, and a laser pointer. Next, we analyzed the mathematical model of the equipment and developed an algorithm for solving the motor rotation angle. Finally, we verified our design with an image. Here, we develop a system that can control a laser projection to a specified location by adjusting coordinates of virtual points on a computer.

Mathematical Model of Non-Stationary Hydraulic Processes Occurring in Gas Centrifuges for Uranium Enrichment

2015 ◽  
Vol 1084 ◽  
pp. 673-677 ◽  
Author(s):  
Aleksey A. Orlov ◽  
Sergey N. Timchenko ◽  
Vladimir S. Sidorenko
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Technological Equipment ◽  
Uranium Enrichment ◽  
Emergency Situations ◽  
Gas Centrifuge ◽  
The Mathematical Model ◽  
Hydraulic Processes ◽  
Centrifuge Cascades

In this article the mathematical model of non-stationary hydraulic processes occurring in gas centrifuge cascades for uranium enrichment is described. This model simulates the technological equipment behavior in standard and emergency situations for possible operational and disturbing influences. Also, the algorithm of differential equations system solving for this model is represented.

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