scholarly journals Analysis of processes in converter with eleven zone regulation output voltage

2020 ◽  
pp. 35-40
Author(s):  
V. Mihaylenko ◽  
J. Chunyak ◽  
V. Bachinskiy
Keyword(s):  
Mathematical Model ◽  
Output Voltage ◽  
Electric Circuit ◽  
Variable Structure ◽  
Modeling And Analysis ◽  
Electric Circuits ◽  
Discrete Parameter ◽  
Electromagnetic Processes ◽  
System Components ◽  
The Mathematical Model

Analysis of the electromagnetic processes is organized beside this article in electric circuit with semiconductor commutator . Mathematical model is created for analysis electro-magnetic processes in semiconductor converter with width pulsed regulation of the output voltage. The broughted graphs, which reflect the electromagnetic processes in electric circuit. Method much parametric functions was used when performing calculation. The mathematical model of the converter is created for eleven zoned regulations of the output voltage. Article is devoted to the development of a method of multi-parametric modulating functions by means of working out of new mathematical models and definition of functions and the algorithmic equations for the analysis on sub- system components of electromagnetic processes in electric circuits of variable structure with sinusoidal, direct and pulsing voltage. Introduction of functions with discrete parameters in the algorithmic equations for analysis of processes in circuits with semiconductor commutators simplifies modeling on subsystem components. The mathematical model of steady-state processes and transients in electric circuits of semiconductor converters of modulation type with multi-channel zonal use of phase and line voltages of a three-phase network of power supplies is developed. The mathematical model of electric circuits of thyristor shapers of electro-discharge pulses for the analysis and the matching of capacitors charging modes with decrease several times of electric resistance of technological load is also created. The obtained results have a great value for development theoretical electrical engineering in a direction of simplification of calculations of electromagnetic processes in electric circuits with semi-conductor converters of the electric power. The Electromagnetic processes in electric circuit under width- pulse regulation possible to analyse with use the algorithmic equations multivariable function, which argument are a system parameters semiconductor commutator, signal of control, phases to network of the power supply and time. Introduction multivariable function with discrete parameter in algorithmic equations of the analysis formed and connecting processes in electric circuit of the variable structure allows to reflect change of this structure under system components, simplifying modeling and analysis of such processes to account of the generalization of the got equations. Except specified correlations and diagrams designed model allows to analyse forms of the output voltages and current of the separate power modules.

scholarly journals MATHEMATICAL MODEL OF A TWELVE-PULSE CONVERTER WITH SIXTEEN ZONE CONTROL OF THE OUTPUT VOLTAGE AND ACTIVE-INDUCTIVE LOADS

2021 ◽  
Vol 2 (37) ◽  
pp. 68-72
Author(s):  
V. Мihaylenko ◽  
J. Chunyak ◽  
K. Trubitsin ◽  
V. Bachynskiy
Keyword(s):  
Mathematical Model ◽  
Output Voltage ◽  
Electric Circuit ◽  
Variable Structure ◽  
Electric Circuits ◽  
Discrete Parameter ◽  
Electromagnetic Processes ◽  
System Components ◽  
Pulse Regulation ◽  
The Mathematical Model

Analysis of the electromagnetic processes is organized in this article in electric circuit with semiconductor commutator. Mathematical model twelve pulses of the converter is created for analysis of the electromagnetic processes in semiconductor converter with width-pulse regulation of the output voltage. The broughted graphs, which reflect the electromagnetic processes in electric circuit. Method multivariable function was used when performing calculation. The mathematical model of the converter is created for five zoned regulations of the output voltage. Using method multivariable function was found current and voltage of the load, as well as input currents of the converter. The load of the converter has actively inductive nature. Article is devoted to the development of a method of multi-parametric modulating functions by means of working out of new mathematical models and definition of functions and the algorithmic equations for the analysis on sub-system components of electromagnetic processes in electric circuits of variable structure with sinusoidal, direct and pulsing voltage. Introduction of functions with discrete parameters in the algorithmic equations for analysis of processes in circuits with semiconductor commutators simplifies modeling on subsystem components. The mathematical model of steady-state processes and transients in electric circuits of semiconductor converters of modulation type with multi-channel zonal use of phase and line voltages of a three-phase network of power supplies is developed. The mathematical model of electric circuits of thyristor shapers of electro-discharge pulses for the analysis and the matching of capacitors charging modes with decrease several times of electric resistance of technological load is also created. The obtained results have a great value for development theoretical electrical engineering in a direction of simplification of calculations of electromagnetic processes in electric circuits with semi-conductor converters of the electric power. The electromagnetic processes in electric circuit under width-pulse regulation possible to analyse with use the algorithmic equations multivariable function, which argument are a system parameters semiconductor commutator, signal of control, phases to network of the power supply and time. Introduction multivariable function with discrete parameter in algorithmic equations of the analysis formed and connecting processes in electric circuit of the variable structure allows to reflect change of this structure under system components, simplifying modeling and analysis of such processes to account of the generalization of the got equations. Except specified correlations and diagrams designed model allows to analyse forms of the output voltages and current of the separate power modules.

scholarly journals Research of processes in a converter with four-zone voltage regulation and electromechanical load

2021 ◽  
pp. 39-41
Author(s):  
Vladyslav Mykhailenko ◽  
Vadym Svyatnenko ◽  
Yuliya Chunyak ◽  
Vladyslav Bachynskiy
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
Output Voltage ◽  
Electric Circuit ◽  
Electric Circuits ◽  
Semiconductor Converter ◽  
Semiconductor Converters ◽  
Electromagnetic Processes ◽  
Three Phase ◽  
The Mathematical Model

The new mathematical models of the electromagnetic processes is designed in three-phase electric circuit of the semiconductor converters with many-server zoned regulation phases voltages disregarding losses in semiconductor commutator for quick estimation of the influence parameter loads on level and form of the output voltage. mathematical model of the semiconductor converter is also used for study of the connecting processes in semiconductor converter with actively-inductive load. Will develop the method multivariable function, what fall into algorithmic equations of the analysis formed and connecting processes in furcated electric circuit with semiconductor commutator and reactive element, toward account of the particularities of the use phase and linear voltages to network of the power supply. Analysis of the electromagnetic processes is organized beside this article in electric circuit with semiconductor commutator. Mathematical model is created for analysis electro-magnetic processes in semiconductor converter with width pulsed regulation of the output voltage. The broughted graphs, which reflect the electromagnetic processes in electric circuit. Method much parametric functions was used when performing calculation. The mathematical model of the converter is created for eleven zoned regulations of the output voltage. Article is devoted to the development of a method of multi-parametric modulating functions by means of working out of new mathematical models and definition of functions and the algorithmic equations for the analysis on sub-system components of electromagnetic processes in electric circuits of variable structure with sinusoidal, direct and pulsing voltage. Introduction of functions with discrete parameters in the algorithmic equations for analysis of processes in circuits with semiconductor commutators simplifies modeling on subsystem components. The mathematical model of steady-state processes and transients in electric circuits of semiconductor converters of modulation type with multi-channel zonal use of phase and line voltages of a three-phase network of power supplies is developed. The mathematical model of electric circuits of thyristor shapers of electro-discharge pulses for the analysis and the matching of capacitors charging modes with decrease several times of electric resistance of technological load is also created.

Force tracking control of grinding end effector based on backstepping + PID

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Shijie Dai ◽  
Shining Li ◽  
Wenbin Ji ◽  
Zhenlin Sun ◽  
Yufeng Zhao
Keyword(s):  
Mathematical Model ◽  
Linear System ◽  
Control Strategy ◽  
Grinding Force ◽  
Constant Force ◽  
End Effector ◽  
Content Type ◽  
Modeling And Analysis ◽  
The Mathematical Model ◽  
Automobile Wheel

Purpose This study aims to realize the constant force grinding of automobile wheel hub. Design/methodology/approach A force control strategy of backstepping + proportion integration differentiation (PID) is proposed. The grinding end effector is installed on the flange of the robot. The robot controls the position and posture of the grinding end actuator and the grinding end actuator controls the grinding force output. First, the modeling and analysis of the grinding end effector are carried out, and then the backstepping + PID method is adopted to control the grinding end effector to track the expected grinding force. Finally, the feasibility of the proposed method is verified by simulation and experiment. Findings The simulation and experimental results show that the backstepping + PID strategy can track the expected force quickly, and improve the dynamic response performance of the system and the quality of grinding and polishing of automobile wheel hub. Research limitations/implications The mathematical model is based on the pneumatic system and ideal gas, and ignores the influence of friction in the working process of the cylinder, so the mathematical model proposed in this study has certain limitations. A new control strategy is proposed, which is not only used to control the grinding force of automobile wheels, but also promotes the development of industrial control. Social implications The automatic constant force grinding of automobile wheel hub is realized, and the manpower is liberated. Originality/value First, the modeling and analysis of the grinding end effector are carried out, and then the backstepping + PID method is adopted to control the grinding end effector to track the expected grinding force. The nonlinear model of the system is controlled by backstepping method, and in the process, the linear system composed of errors is obtained, and then the linear system is controlled by PID to realize the combination of backstepping and PID control.

scholarly journals Mathematical Modeling and Analysis of Multirobot Cooperative Hunting Behaviors

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Yong Song ◽  
Yibin Li ◽  
Caihong Li ◽  
Xin Ma
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Numerical Solutions ◽  
Rate Equations ◽  
Ratio Analysis ◽  
Hunting Behavior ◽  
Modeling And Analysis ◽  
Cooperative Hunting ◽  
Model Equations ◽  
The Mathematical Model

This paper presents a mathematical model of multirobot cooperative hunting behavior. Multiple robots try to search for and surround a prey. When a robot detects a prey it forms a following team. When another “searching” robot detects the same prey, the robots form a new following team. Until four robots have detected the same prey, the prey disappears from the simulation and the robots return to searching for other prey. If a following team fails to be joined by another robot within a certain time limit the team is disbanded and the robots return to searching state. The mathematical model is formulated by a set of rate equations. The evolution of robot collective hunting behaviors represents the transition between different states of robots. The complex collective hunting behavior emerges through local interaction. The paper presents numerical solutions to normalized versions of the model equations and provides both a steady state and a collaboration ratio analysis. The value of the delay time is shown through mathematical modeling to be a strong factor in the performance of the system as well as the relative numbers of the searching robots and the prey.

A NEW DISCRETIZED MODEL IN NONLINEAR KINETIC THEORY—THE SEMICONTINUOUS BOLTZMANN EQUATION

1991 ◽  
Vol 01 (01) ◽  
pp. 113-123 ◽  
Author(s):  
N. BELLOMO ◽  
E. LONGO
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Boltzmann Equation ◽  
Kinetic Theory ◽  
Continuous Dependence ◽  
Modeling And Analysis ◽  
Collision Invariants ◽  
The Mathematical Model ◽  
Nonlinear Kinetic ◽  
Discretized Model

This paper deals with the mathematical modeling and analysis of a new model of the Boltzmann equation with a finite number of velocity moduli, but with a continuous dependence on the velocity directions. The mathematical model is derived in the first part of the paper. Then the analysis of the equilibrium Maxwellian state is dealt with in the second part of the paper with the purpose of showing that the space of collision invariants is the correct one.

scholarly journals Modeling and Analysis of Online Delay of Nonperiodic CAN Message

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Dafang Wang ◽  
Bowen Yang ◽  
Yi Jin ◽  
Ji Qi ◽  
Nannan Li
Keyword(s):  
Mathematical Model ◽  
Queuing Theory ◽  
Online Communication ◽  
Load Ratio ◽  
High Accuracy ◽  
Actual Situation ◽  
Modeling And Analysis ◽  
Experimental Platform ◽  
On Line ◽  
The Mathematical Model

In order to analyze the online communication delay of nonperiodic CAN message, the mathematical model of average on-line delay is established based on M/G/1 queuing theory and an experimental platform is designed to analyze the delay of CAN communication, with which the on-line delays of messages with a different ID are tested at different load ratios. The results show that the model is very close to the actual situation indicating the high accuracy of the model. In the results, for the same message, the average and maximum online delays both increase with the raise of load ratio. At the same load ratio, the maximum on-line delay increases with the decrease of the message priority, and the average on-line delay remains almost unchanged.

scholarly journals Mathematical Model of a Solid Rotor Asyncronous Electric Machine

2019 ◽  
Vol 9 (2) ◽  
pp. 3629-3633
Keyword(s):  
Mathematical Model ◽  
High Speed ◽  
Power Converter ◽  
Electric Machine ◽  
Design Stage ◽  
Electrical Machine ◽  
Displacement Effect ◽  
Electric Generator ◽  
Electromagnetic Processes ◽  
The Mathematical Model

The article deals with solid rotor asynchronous electric machine mathematical model. It is substantiated that the use of generalized electrical machine theory for building the mathematical model is rational at the design stage to analyze the electromagnetic and electromechanical processes in an electric machine and a power converter. The mathematical model with some circuits on the rotor was considered to account for the effect of current displacement in a solid rotor. We used the field theory to determine the number of circuits. For this purpose, the calculations series of the magnetic field distribution in the active part of the electric machine when the rotor is stationary (in short circuit mode) and the stator winding are powered by different frequencies currents were carried out. The modeling of a high-speed electric generator with a solid asynchronous rotor was carried out. Its power is 100kW and its rotational speed is 100 000 rpm. The analysis of the high-speed generator parameter approximation showed that the use of three circuits in the equivalent circuit is rational to account for the effect of current displacement in a solid rotor. The mathematical model results when connecting a rotating high-speed electric generator to a voltage source are showed. The assessment of the current displacement effect in a solid rotor was examined twice: with one circuit in a rotor chain and with three circuits in it. Comparison of the electromagnetic processes modeling results showed that the use of three circuits model provides the more accurate representation of electromagnetic processes in the solid rotor asynchronous electric machine. The modeling results significantly differs during transients when using the one-circuit model. In the steady state, the stator current fundamental harmonics and the average value of electromagnetic moment are the same for both models.

scholarly journals Modeling and Analysis of Energy/Exergy for Absorber Pipes of Linear Parabolic Concentrating Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Reza Alayi ◽  
Mahdi Mohkam ◽  
Hossein Monfared ◽  
Alibek Issakhov ◽  
Nima Khalilpoor
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Numerical Solutions ◽  
Physical Parameters ◽  
Fluid Temperature ◽  
Solar Collectors ◽  
Matlab Software ◽  
Modeling And Analysis ◽  
Parabolic Collector ◽  
The Mathematical Model

In this paper, the physical parameters of the absorber pipe of a linear parabolic collector have been investigated. The types of solar collectors, specifically the linear parabolic collector, have been comprehensively studied. Then, the mathematical model of heat transfer in the absorber pipe of the collector has been presented based on valid references. Numerical solutions of the equations related to the absorber pipe were performed by MATLAB software, and the effects of the physical parameters of the absorber pipe on its efficiency were investigated. The results show that increasing the length of the absorber pipe causes a nonlinear decrease in the efficiency of the absorber pipe. One of the important results is the increase in fluid temperature due to the increase in the diameter of the adsorbent tube, which increases the diameter of the fluid temperature by 60 K, in which the parameter increases the efficiency by 0.38%.

Mathematical Modeling and Analysis of the DC–DC Buck Converter Transient Response

2020 ◽  
pp. 2150070
Author(s):  
João Vitor Zastrow ◽  
Henrique de Souza Medeiros
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Transient Response ◽  
Pulse Width ◽  
Output Voltage ◽  
Input Voltage ◽  
Buck Converter ◽  
Time Varying ◽  
Modeling And Analysis ◽  
Input Signals

In this paper, a method is presented for the mathematical modeling and analysis of the DC–DC Buck Converter output voltage. This paper consists of the demonstration of a mathematical model for the converter transient response submitted to a pulse width modulated (PWM) input voltage, resulting in accurate symbolic expressions for the output voltage. The novelty of the method is the capability of the expressions derived to describe correctly the behavior of the converter submitted to time-varying control reference input signals modulating the switch pulse width. The mathematical model was then validated by comparing it with the responses obtained using the Runge–Kutta numerical method. By using different circuit parameters and PWM input signals with constant and time-varying duty cycles, it was possible to validate the model for different cases, showing the effectiveness of the approach.

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