scholarly journals Investigation of adequacy of mathematical model of the „crane-load” system with frequency-controlled drive

2021 ◽  
pp. 69-80
Author(s):  
Yu. Romasevych ◽  
◽  
V. Loveikin ◽  
V. Krushelnitsky ◽  
V. Makarets ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Supply Voltage ◽  
Nonlinear Differential Equations ◽  
Frequency Converter ◽  
Experimental Studies ◽  
Angle Of Deviation ◽  
Overload Capacity ◽  
System Frequency ◽  
The Mathematical Model ◽  
System Movement

In this work, experimental studies were conducted to evaluate the adequacy of the model of the „crane-load” system movement. For research, a laboratory installation (trolley with a load on a flexible suspension), a frequency converter, and encoders were used to measure the position of the trolley and the angle of deviation of the rope with the load from the vertical. Six experiments were performed by varying the duration of the increase and decrease of the frequency of the supply voltage of the trolley drive from 0.5 to 3 s. The increase and decrease of frequency voltage occurred according to a linear law. The data obtained during the experiments were compared with those that correspond to the mathematical model of the „crane-load” system. The mathematical model uses the Kloss equation, and also takes into account the change of frequency of the supply voltage of the drive from the condition of ensuring the overload capacity of the drive. Estimation of deviation of experimental data with results of numerical integration of mathematical model of the movement of the „crane-load” system was carried out based on the coefficient of variation (quantitative analysis) and graphic dependences (qualitative analysis). The obtained results showed the adequacy of the mathematical model of the motion of the „crane-load” system in the form of a system of nonlinear differential equations. Key words: mathematical model, dynamic system, frequency-controlled drive

scholarly journals Identification of the mathematical model of the laboratory unit of the quadrocopter link

2020 ◽  
pp. 27-37
Author(s):  
Yu. Romasevych ◽  
◽  
V. Loveikin ◽  
O. Shevchuk ◽  
◽  
...  
Keyword(s):  
Neural Network ◽  
Mathematical Model ◽  
Artificial Neural Network ◽  
Angular Velocity ◽  
Measurement Errors ◽  
Supply Voltage ◽  
Experimental Studies ◽  
Current Value ◽  
Artificial Neural ◽  
The Mathematical Model

The paper describes a laboratory setup of a quadrocopter link, which is a nonlinear plant. Experimental studies on the control of the movement of the installation were carried out and an array of experimental data was obtained. In order to perform the identification of the mathematical model of the installation, the array was processed. The procedure is consisted of separate stages. At the beginning of the calculations, measurement errors were eliminated. Subsequently, an array of discrete values of the angular velocity of the rod (quadrocopter link) movement is determined. After that, the resulting array was filtered and data was generated in a format suitable for training an artificial neural network. Such data included the pairs: „current value of the voltage drive, current value of the angle, current value of the angular velocity” - „subsequent value of the angle, subsequent value of the angular velocity”. The neural network (predictor) was a single-layer feedforward network with three inputs and two outputs. Artificial neural network has been trained according to the paradigm of supervised training. As a result, a predictor has been obtained that allows predicting the behavior of the plant under a certain control (drive supply voltage). The quality of the predictor's work was estimated based on the analysis of graphical dependencies and in terms of the standard deviations of the experimental (in the case of angular velocity – calculated) and predicted values. It gives grounds to state that the obtained predictor (mathematical model of the plant) may be used in order to synthesize control systems.

scholarly journals Modeling of induction motor drive of a mine hoist on the basis of a doubly-fed electric machine

2021 ◽  
Vol 330 ◽  
pp. 03008
Author(s):  
Viktor Ostrovlyanchik ◽  
Ivan Popolzin ◽  
Vasiliy Kubarev ◽  
Dabin Qi
Keyword(s):  
Mathematical Model ◽  
Induction Motor ◽  
Supply Voltage ◽  
Frequency Converter ◽  
Motor Drive ◽  
Induction Motor Drive ◽  
Doubly Fed ◽  
Doubly Fed Machine ◽  
Mine Hoist ◽  
The Mathematical Model

One of the options for the modernization of existing hoist electric drives with a wound-rotor induction motor is its starting according to the scheme of a doubly-fed machine. For this purpose, a frequency converter with an adjustable amplitude, frequency and phase shift of the voltage at its output is connected to the motor rotor. At the same time, the problem of obtaining a mathematical model of both the double fed machine itself and the speed control system based on it is relevant due to the need to take into account the additional supply voltage in the differential equations drawn up in accordance with the Kirchhoff’s law for the stator and rotor windings. The paper proposes a structural diagram for the mathematical model of an induction motor drive of a hoist based on a doubly fed machine.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

scholarly journals Use of the mathematical model of the ignition system to analyze the spark discharge, including the destruction of spark plug electrodes

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 57-62 ◽  
Author(s):  
Sebastian Różowicz
Keyword(s):  
Mathematical Model ◽  
Experimental Studies ◽  
Fuel Mixture ◽  
Spark Discharge ◽  
Fuel Additives ◽  
Ignition System ◽  
Spark Plug ◽  
The Mathematical Model

Abstract The paper presents the results of analytical and experimental studies concerning the influence of different kinds of fuel additives on the quality of the spark discharge for different configurations of the ignition system. The wear of the spark plug electrode and the value of spark discharge were determined for various impurities and configurations of the air-fuel mixture.

Mobile Worm-Like Robots for Pipe Inspection

2015 ◽  
pp. 168-218 ◽  
Author(s):  
Sergey Fedorovich Jatsun ◽  
Andrei Vasilevich Malchikov
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Mobile Robots ◽  
Experimental Studies ◽  
Design Parameters ◽  
Robot Motion ◽  
Robot Dynamics ◽  
Confined Space ◽  
Pipe Inspection ◽  
The Mathematical Model

This chapter describes various designs of multilink mobile robots intended to move inside the confined space of pipelines. The mathematical model that describes robot dynamics and controlled motion, which allows simulating different regimes of robot motion and determining design parameters of the device and its control system, is presented. The chapter contains the results of numerical simulations for different types of worm-like mobile robots. The experimental studies of the in-pipe robots prototypes and their analyses are presented in this chapter.

scholarly journals Mathematical modeling of physical processes in the complex for testing of induction machines

2018 ◽  
Vol 239 ◽  
pp. 01055 ◽  
Author(s):  
Viktor Kharlamov ◽  
Denis Popov
Keyword(s):  
Mathematical Model ◽  
Frequency Converter ◽  
Electrical Energy ◽  
Induction Machines ◽  
Test Scheme ◽  
Load Testing ◽  
Variable Parameters ◽  
Asynchronous Machines ◽  
The Mathematical Model ◽  
The Given

The paper is devoted to the simulation of the test complex designed for energy-efficient load testing of induction machines by the method of mutual load with the exchange of electrical energy through the network. It is noted that for other similar test schemes, the mathematical model will have a slightly different form, but it will be identical in terms of asynchronous machines, network and frequency converter. The compiled mathematical model of the test complex allows studying the variable parameters of the system in all elements of the test scheme in static and dynamic modes of operation as well. The synthesized mathematical model can be used to determine the parameters of the equipment in the designed test complexes if the parameters of the test and load machines are known. The results of simulation of the test complex for the given parameters of the test and load induction machines are obtained.

Theoretical and Experimental Study of the Dynamics of the Tripod-Ball Sliding Joint With Clearance

2001 ◽  
Author(s):  
Jia Xiaohong ◽  
Ji Linhong ◽  
Jin Dewen ◽  
Zhang Jichuan
Keyword(s):  
Mathematical Model ◽  
Equations Of Motion ◽  
Experimental Studies ◽  
Active System ◽  
New Concepts ◽  
Sliding Joint ◽  
New Type ◽  
Set Up ◽  
The Mathematical Model ◽  
Kane Method

Abstract Clearance is inevitable in the kinematic joints of mechanisms. In this paper the dynamic behavior of a crank-slider mechanism with clearance in its tripod-ball sliding joint is investigated theoretically and experimentally. The mathematical model of this new-type joint is established, and the new concepts of basal system and active system are put forward. Based on the mode-change criterion established in this paper, the consistent equations of motion in full-scale are derived by using Kane method. The experimental rig was set up to measure the effects of the clearance on the dynamic response. Corresponding experimental studies verify the theoretical results satisfactorily. In addition, due to the nonlinear elements in the improved mathematical model of the joint with clearance, the chaotic responses are found in numerical simulation.

Adsorption-Desorption Processes in Adsorption Chillers

2016 ◽  
Vol 20 (2) ◽  
pp. 81-89
Author(s):  
Monika Gwadera
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mass Transfer ◽  
Experimental Studies ◽  
Operating Principle ◽  
Adsorption Desorption ◽  
The Mathematical Model

AbstractThe aim of this paper is to present the adsorption chillers technology. The operating principle of these systems, the adsorbent-adsorbate pairs that are frequently applied and the enhancement techniques that allow improvement of their efficiency are presented. Analysis of the mass transfer and principles of mathematical modeling of such systems are also discussed. In the further part of the text, the results of experimental studies and comparison of these results with calculations based on the mathematical model of adsorption were presented.

scholarly journals DEVELOPMENT AND RESEARCH OF PROMISING SCHEMES FOR DIVIDING PIPES INTO DIMENSIONAL BILLETS

2021 ◽  
pp. 30-37
Author(s):  
Sergii Karnaukh
Keyword(s):  
Mathematical Model ◽  
Experimental Studies ◽  
Connecting Rod ◽  
High Quality ◽  
Cutting Knife ◽  
3D Software ◽  
The Mathematical Model ◽  
Cut Surface ◽  
Deform 3D

The purpose of this work is to study the known method of division of pipes by introducing a figure knife and the development of promising designs of equipment for division of pipes into measured workpieces. Based on the analysis of the actuating crank-slider mechanisms used in the equipment for division of pipes into measured workpieces, promising schemes of short-connecting rod mechanisms have been discovered that provide a local pipe section along the perimeter. The developed design of the device for dividing pipes into dimensional workpieces by the eccentric twisting method, which contains a wedge-joint mechanism in combination with a compact circular actuator, also allows to reduce energy and power costs for separation, reduce the consequences of instantaneous unloading of equipment and ensure high quality workpieces. A mathematical model of the proposed equipment was developed and the modeling of the cutting process was carried out using the DEFORM-3D software package. The analysis of the results obtained showed that in the extreme positions of the knives, jamming of the knives is possible. To eliminate jamming, it is necessary that the knives do not reach the extreme position. The adequacy of the mathematical model is confirmed by experimental studies. The error of the calculated and measured values of the torque on the cutting knife does not exceed 10%. This is due to the need for a more correct accounting of friction on the contact surfaces of the equipment. Cut tubular blanks have high geometric accuracy and high quality of the cut surface.

scholarly journals Kinetics of filtration consolidation of water-saturated clay soils

2020 ◽  
pp. 86-95 ◽  
Author(s):  
O. V. Ageikina ◽  
V. V. Vorontsov ◽  
R. R. Sufyanov
Keyword(s):  
Mathematical Model ◽  
Porous Medium ◽  
Saturated Porous Medium ◽  
Experimental Studies ◽  
Saturated Soils ◽  
Consolidation Process ◽  
Filtration Consolidation ◽  
Wide Range ◽  
Water Saturated ◽  
The Mathematical Model

The relevance of the research processes filtration consolidation due to the place of water-saturated soils in various design solutions related to the exploration, production and transportation of hydrocarbons. It should be noted that the diversity of soils led to the emergence of a wide range of mathematical models, obtained on the basis of generalization of experimental data and various assumptions to simplify engineering calculations. The article presents the results of theoretical and experimental studies of the mathematical model of the consolidation process of a water-saturated porous medium. This model is based on simplifying assumptions that are different from those adopted in well-known solutions. A fundamental approach to the formation of the model was developed on the basis of the kinetic representations of chemical reactions used in solving the environmental problems of epoxidation reactions of olefins. We determined the parameters of the mathematical model of the consolidation process of the saturated porous medium of clayey soil and confirmed its adequacy by the research results. In addition, we established the parameters of the field of non-equilibrium filtration, reducing the nonexistent ability of water-saturated soils.

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