scholarly journals Mathematical Model of Tubular Linear Induction Motor

2021 ◽  
Vol 8 (1) ◽  
pp. 103-109
Author(s):  
Viacheslav Okhrimenko ◽  
Maiia Zbіtnieva
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Induction Motor ◽  
Magnetic Field Induction ◽  
Design Stage ◽  
Fredholm Integral Equations ◽  
Linear Induction ◽  
Linear Induction Motor ◽  
Field Induction ◽  
Extreme Character

Problem of calculation of distribution of magnetic field induction in clearance of tubular linear induction motor (TLIM) is considered. Mathematical model is represented by Fredholm integral equations of second kind for complexes of electric field strength and density of coupled magnetization currents at interface of environments. Algorithm of calculation of distribution of magnetic field induction in TLIM clearance has been developed. Dependence of magnetic field induction in motor clearance on value of pole division is investigated. There is area of optimum pole pitch. Reliability of results of calculations on mathematical model is confirmed by their comparison with results obtained on physical model. Calculated dependence of induction on thickness of runner's iron circuit also has extreme character. Given model can be used at design stage of TLIM. Model allows calculating its optimal geometric dimensions based on criterion of maximum induction in motor clearance, taking into account physical properties of applied materials.

Field-Circuit Coupled Modeling for Linear Induction Motor Drive System

2013 ◽  
Vol 416-417 ◽  
pp. 711-717
Author(s):  
Zhi Hua Zhang ◽  
Li Ming Shi ◽  
Hua Cai ◽  
Yao Hua Li
Keyword(s):  
Mathematical Model ◽  
Induction Motor ◽  
Circuit Simulation ◽  
Power Converter ◽  
Drive System ◽  
Coupled Modeling ◽  
End Effects ◽  
Linear Induction ◽  
Linear Induction Motor ◽  
Motor Drive System

Linear drive system is widely applied in mid-low speed Maglev, subway transportation, etc. It is composed of two principal components, high power converter and linear induction motor. The converter and motor are designed separately, whole drive system usually use circuit simulation by extracting the mathematical model of linear induction motor. However, LIM has complex electromagnetic field, which needs to considerate the transverse and longitude end effects [1-. This makes LIM mathematical model inaccurate, hard to simulate the real dynamic characteristics of LIM.

Calculation Spectral Characteristics of Magnetic Field of the Linear Induction Motor at the Braking Modes

2008 ◽  
Vol 144 ◽  
pp. 136-139 ◽  
Author(s):  
Bronius Karaliunas ◽  
Edvardas Matkevicius
Keyword(s):  
Magnetic Field ◽  
Induction Motor ◽  
Single Phase ◽  
Spectral Characteristics ◽  
Fourier Integral ◽  
Periodic Functions ◽  
Linear Induction ◽  
Linear Induction Motor ◽  
Electric Braking ◽  
Dynamic Braking

The paper considers some problems of calculating spectral characteristics of magnetic field of the linear induction motor (LIM), operating at the electrical braking modes. In automatic drives with LIM the electric braking modes are usually applied: dynamic, recuperation, single – phase, capacitor type, braking by means of opposite connection, by pulsating current and inverter type (frequency) braking. During the process of braking in the moving part of the LIM and in some cases in an inductor there are initiated complicated interrelated electromagnetic and electromechanical non – stationary processes. The braking processes have been analysed in the motionless right – sided Descartes system of coordinates x, y, z. There have been presented the expressions of volumetric density of braking current which have been regarded the non – periodic functions of coordinate x. Besides that in cases of single – phase and capacitor braking these expressions are also regarded as the non – periodic functions of time. Therefore when compiling the mathematical model there have been applied Laplace and Fourier integral transformations. After having applied Fourier transformation there have been received the expressions of the spectra amplitudes of primary magnetic field at the dynamic braking under the condition that the number of excited zones in the inductor is even, uneven and fractional. The continuous spectra of amplitudes have been calculated by the software Mathcad 2001 Profesional.

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.

FEM Analysis of Single-Sided Linear Induction Motor with Different Secondary Conductor Structures

2012 ◽  
Vol 433-440 ◽  
pp. 6843-6849 ◽  
Author(s):  
Huai Ji Lu ◽  
Yu Mei Du
Keyword(s):  
Magnetic Field ◽  
Induction Motor ◽  
Fem Analysis ◽  
Linear Induction ◽  
Research Results ◽  
Linear Induction Motor

several 2-D FEM models of SLIM with different kinds of secondary conductor structures are developed and analyzed based on certain equitable prerequisite. The computed magnetic field of different secondary conductor structures is analyzed, and the research results may give references on the optimization of secondary conductor structure.

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