scholarly journals Modeling an induction motor based on the equations of a generalized electric machine, taking into account the saturation of the magnetic circuit

2020 ◽  
Vol 178 ◽  
pp. 01011
Author(s):  
Yuri Mikhailovich Frolov ◽  
Valery Petrovich Shelyakin ◽  
Nikolay Vasilievich Sitnikov ◽  
Sergey Aleksandrovich Goremykin ◽  
Dmitry Aleksandrovich Tonn
Keyword(s):  
Mathematical Model ◽  
Induction Motor ◽  
Mechanical Characteristics ◽  
Magnetic Circuit ◽  
Electric Machine ◽  
Asynchronous Electric Drive ◽  
Modeling Accuracy ◽  
Model Equations ◽  
The Mathematical Model ◽  
Asynchronous Electric Motor

Writing the differential equations of an asynchronous electric motor on the basis of a generalized electric machine in different coordinate axes can not only reduce the number of model equations, but also introduce various factors in the mathematical description that increase the modeling accuracy. It is proposed to write the equations of the mathematical model of an induction motor taking into account the saturation of the magnetic circuit and solve them using the Matlab application package. The proposed approach improves the accuracy of calculating the mechanical characteristics of an asynchronous electric drive.

scholarly journals Transient processes of vibration machines with inertial electric drives

2020 ◽  
Vol 216 ◽  
pp. 01121
Author(s):  
Kamoliddin Alimkhodjaev ◽  
Murakam Mirsaidov ◽  
Malika Khalikova ◽  
Jasurbek Nizamov
Keyword(s):  
Mathematical Model ◽  
Induction Motor ◽  
Mechanical Characteristics ◽  
Mutual Influence ◽  
Asynchronous Motor ◽  
Experimental Studies ◽  
Transient Processes ◽  
Electric Drives ◽  
Dynamic Mechanical ◽  
The Mathematical Model

In order to conduct model experimental studies of the mutual influence of electromagnetic and mechanical transient processes of starting up inertial vibration drives with an asynchronous motor, its mathematical model is being developed. The analytical dependence of the dynamic mechanical characteristics of the vibrator at various values of the rotor acceleration is determined. The mathematical model uses the dynamic mechanical characteristics of an induction motor as a torque.

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.

Determination of Plasticity for Pre-Deformed Billet

2019 ◽  
Vol 291 ◽  
pp. 110-120
Author(s):  
Olena Solona ◽  
Iryna Derevenko ◽  
Igor Kupchuk
Keyword(s):  
Mathematical Model ◽  
Damage Accumulation ◽  
Mechanical Characteristics ◽  
Calculation Procedure ◽  
Fracture Model ◽  
Pipe Extrusion ◽  
High Level ◽  
The Mathematical Model ◽  
Extrusion Method

The calculation procedure for determining the plasticity of pre-deformed metals during their processing by pressure has been developed. The calculation procedure is based on a fracture model, which in turn is based on the tensor description of damage accumulation. With known mechanical characteristics, as well as with known plasticity diagrams, the fracture model makes it possible to evaluate the plasticity of pre-deformed bend for any kind of stress state. When manufacturing steeply curved branches using the pipe extrusion method, the procedure was tested. Verification of the mathematical model has shown a high level of its adequacy, and it can be used in assessing the plasticity of pre-deformed billet.

The Effect of Leakage on Railroad Brake Pipe Steady State Behavior

1988 ◽  
Vol 110 (3) ◽  
pp. 329-335 ◽  
Author(s):  
K. Abdol-Hamid ◽  
D. E. Limbert ◽  
G. A. Chapman
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Transmission Lines ◽  
Computation Time ◽  
State Behavior ◽  
Implicit Finite Difference Scheme ◽  
Inlet Flow Rate ◽  
Model Equations ◽  
The Mathematical Model ◽  
Steady State Behavior

A mathematical model for pneumatic transmission lines containing leakage is developed. This model is used to show the effect of leakage size and distribution on the steady state behavior of the brake pipe on a train brake system. The model equations are solved using the implicit finite difference scheme without neglecting any terms. The model is presented in a nonlinear continuous network form, consisting of N sections. Each of the network sections represents one car and may contain one leakage. A computer program was developed to solve the model equations. This program is capable of simulating a train with cars of various lengths and takes a minimum amount of computation time as compared with previous methods. Through analysis and experimentation, the authors have demonstrated that pressure gradient and inlet flow rate are very sensitive to leakage locations as compared with leakage size. The results, generated by the mathematical model, are compared with the experimental data of two different brake pipe set-ups having different dimensions.

scholarly journals Determination of Correlation Between Composition, Rolling Parameters and Mechanical Characteristics of the Hot Rolled Steels

2019 ◽  
Vol 56 (1) ◽  
pp. 224-227
Author(s):  
Petrica Alexandru ◽  
Bogdan Gabriel Carp
Keyword(s):  
Mechanical Characteristics ◽  
Heating Temperature ◽  
Thickness Reduction ◽  
Plastic Deformation Process ◽  
Technical Specifications ◽  
Model Equations ◽  
Intermediate Cooling ◽  
Hot Rolled ◽  
Number Of Passes ◽  
The Mathematical Model

The controlled lamination of thick sheets involves the use of algorithms for choosing the rolling parameters: the initial heating temperature, the lamination scheme (the distribution of the total thickness reduction on each rolling cage, the number of passes through each cage and the distribution of the thickness reduction on each passage, intermediate cooling - cooling time and speed), and the temperature of the product obtained at the end of the rolling. The complexity of the phenomena, which occur during the hot plastic deformation process and which must be sufficiently well mastered in order to obtain reproducibly the technical specifications imposed on the products with different destinations, is the justification for this work. The data provided by Arcelor-Mittal Galati was used to obtain the mathematical model. Equations that correlate the main mechanical characteristics with the chemical composition of the steel and the parameters of the hot rolling pattern used are presented.

Research of Mathematical Model of the Twelve-Phase Linear Induction Motor with Double-Sided Long Stators

2013 ◽  
Vol 416-417 ◽  
pp. 156-163 ◽  
Author(s):  
Jin Rao ◽  
Jin Xu ◽  
De Zhi Liu ◽  
Xi Dang Yang ◽  
Xiao Peng Cui ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Induction Motor ◽  
Electromagnetic Properties ◽  
Linear Induction ◽  
Linear Induction Motor ◽  
Leakage Inductance ◽  
System A ◽  
The Asymmetry ◽  
Multi Phase ◽  
The Mathematical Model

Based on the requirement of high-power linear propulsion system, a novel twelve-phase linear induction motor (LIM) with double-sided long stators was designed, and the winding construction of twelve-phase LIM was presented in this paper. On the basis of this, the mathematical model of ABC coordinates for this novel motor was derived, and the rule of the asymmetry of end-winding leakage inductance of the twelve-phase LIM with double-sided long stators, which is determined by the relative space position of the each phase end-winding in the motor, and then this rule was compared with the law of the asymmetry of end-winding leakage inductance of the multi-phase rotating motor. Simulation model of the motor was established, and the electromagnetic properties of the motor is calculated.

scholarly journals Dynamic Simulation of High-Speed Induction Motor

Energies ◽  
2021 ◽  
Vol 14 (9) ◽  
pp. 2713
Author(s):  
Maria Dems ◽  
Krzysztof Komeza ◽  
Jacek Szulakowski ◽  
Witold Kubiak
Keyword(s):  
Mathematical Model ◽  
Induction Motor ◽  
High Speed ◽  
Start Up ◽  
Modified Equations ◽  
Higher Power ◽  
The Mathematical Model ◽  
Dynamic Phenomena ◽  
Dynamic States

In the drives of high-speed devices, such as a blood centrifuge, dynamic states also play an important role in terms of the time and quality of the tests performed. The article presents the application of modified equations resulting from the mathematical model of an induction motor to model dynamic phenomena during motor start-up, both with mains supply and with frequency start-up. The applied solution considers the phenomenon of current displacement in the rotor bar and the phenomenon of saturation. The comparison of the obtained results with the experiment shows that the method is sufficiently accurate. The obtained results can also be extended to higher power machines and to modeling other dynamic states.

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