Mathematical modelling of starting modes of induction motors with squirrel-cage rotor

Malyar, V. S.; Hamola, Orest; Maday, V. S.; Vasylchyshyn, Ivanna

doi:10.20998/2074-272x.2021.2.02

Cited by 4 publications

(5 citation statements)

References 5 publications

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“…7, рис. 13. Ключові слова: асинхронний двигун, обмотки статора і ротора, активні і реактивні опори, магнітне насичення, вихрові струми, механічна характеристика, класичне проєктування, чисельно-польовий розрахунковий аналіз.…”

Section: досліджуються реактивні (індуктивні) опори розсіяння і актив...unclassified

“…A large number of works, for example, [3][4][5][6][7][8][9][10][11][12][13][14][15] are devoted to the application of these complexes and other computational and experimental studies of parameters and characteristics of TIMs. But, fulfilling their specific purpose, they did not delve into the analysis of the active and reactive parameters of the TIM windings in the entire range of accompanying sliding.…”

Section: досліджуються реактивні (індуктивні) опори розсіяння і актив...mentioning

confidence: 99%

“…In [12,13], an algorithm for calculating mechanical characteristics and methods for analyzing starting modes of induction motors with a short-circuited rotor are proposed. The developed calculation methods are based on a mathematical model of TIM, which takes into account the change in own and mutual differential inductive resistance due to the saturation of the magnetic core and the active resistance of the rotor winding due to the displacement of the current in its rods.…”

Section: досліджуються реактивні (індуктивні) опори розсіяння і актив...mentioning

confidence: 99%

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Numerical-field analysis of active and reactive winding parameters and mechanical characteristics of a squirrel-cage induction motor

Милых¹

2023

Electrical Engineering & Electromechanics

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Introduction. The active and reactive (inductive) winding resistances of three-phase asynchronous motors (IM) are investigated. These important parameters are determined during design and are the basis for calculating a number of energy parameters and characteristics. Problem. In the classical design of IM, the winding resistances are determined with insufficient accuracy due to a number of assumptions and conventions. Especially it concerns the operation of IM with increased slip and it affects the accuracy of realization of its design data, starting parameters and characteristics. Goal. The paper aims to further develop the IM design system by numerical-field computational analysis of active and reactive resistances of the IM windings in the whole range of changes in its slip and calculation of the mechanical characteristic of IM to confirm the adequacy of the calculations of these resistances. Methodology. Resistances of the IM windings are determined by numerous calculations of the magnetic fields of dispersion with the FEMM program within stator and rotor teeth steps, and with current displacement in a squirrel-cage rotor core. Everything is done in the slip range when operating from start-up to idle with changing currents in the slots and the corresponding magnetic saturation of the core teeth. A Lua script has been created for the calculations, controlling the FEMM program and providing automation of all calculations. Results. The numerical-field method shows that the classical design method gives very large errors in determining the magnetic conductivities of IM slot dispersion, as well as current displacement in the bars of the squirrel-cage rotor winding. This is especially evident with increased slips in the start-up mode. Originality. Numerical estimates of the differences between the classical and numerical-field methods are given and the origin of errors is analyzed: the strong saturation of the teeth of the stator and rotor cores. This leads to a significant decrease in the magnetic conductivities of slot dispersion and the practical absence of current displacement in the rotor bars, on which the main emphasis was previously made. The obtained results made it possible to calculate the mechanical characteristic of the IM according to a transparent formula without the use of correction coefficients and reference graphical functions. Practical value. The provided technique of numerical-field analysis and the obtained results of the calculation of active and reactive winding resistances and mechanical characteristic are recommended as a basis for the improvement of the IM design system.

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Section: досліджуються реактивні (індуктивні) опори розсіяння і актив...unclassified

Section: досліджуються реактивні (індуктивні) опори розсіяння і актив...mentioning

confidence: 99%

Section: досліджуються реактивні (індуктивні) опори розсіяння і актив...mentioning

confidence: 99%

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Numerical-field analysis of active and reactive winding parameters and mechanical characteristics of a squirrel-cage induction motor

Милых¹

2023

Electrical Engineering & Electromechanics

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“…The main consumer of electric power in the SRPU is an IM. Despite the quite simple design of induction motors, from the point of view of the theory of automatic control, they are complex, non-linear, multi-dimensional objects with various forms of mathematical description, which results in a large number of their mathematical models [14][15][16]. Therefore, when conducting research on asynchronous electric drives by means of mathematical modelling, it is important to choose a model every time that will satisfy the requirements for the accuracy of the results, the amount of computer memory and the speed of obtaining the results.…”

Section: Introductionmentioning

confidence: 99%

Calculation of Processes in the Electric Drive of the Sucker-Rod Pumping Unit with Reactive Power Compensation

Malyar,

Cieslik

2023

Energies

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The uneven load of the electric drive of sucker-rod pumping units causes an increase in the consumption of reactive power, which requires compensation. This article discusses the issue of calculating the processes in sucker-rod pumping units in the case of individual compensation of the reactive power. Mathematical models for calculating the process of changing the capacity of cosine capacitors for reactive power compensation in the starting and steady-state modes of the electric drive of the sucker-rod pumping unit, which are characterized by the periodically varying load and moment of inertia, have been developed. The calculation is based on a mathematical model of the induction motor that takes into account the saturation of the magnetic path and the skin effect in the bars of the deep-bar rotor. The created mathematical model can be used to regulate the capacitance of the capacitors connected to the induction motor in order to reduce the reactive power consumption.

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“…Introduction. Direct Torque Control (DTC) was realized by Takahashi and Depenbrock [1,2] is more and more popular and it interests many scientists and industrialists in the field of variable speed applications [3,4].…”

mentioning

confidence: 99%

Field programmable gate array hardware in the loop validation of fuzzy direct torque control for induction machine drive

Aib¹,

Khodja²,

Chakroune³

2023

Electrical Engineering & Electromechanics

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Introduction. Currently, the direct torque control is very popular in industry and is of great interest to scientists in the variable speed drive of asynchronous machines. This technique provides decoupling between torque control and flux without the need to use pulse width modulation or coordinate transformation. Nevertheless, this command presents two major importunities: the switching frequency is highly variable on the one hand, and on the other hand, the amplitude of the torque and stator flux ripples remain poorly controlled throughout the considered operating speed range. The novelty of this article proposes improvements in performance of direct torque control of asynchronous machines by development of a fuzzy direct torque control algorithm. This latter makes it possible to provide solutions to the major problems of this control technique, namely: torque ripples, flux ripples, and failure to control switching frequency. Purpose. The emergence of this method has given rise to various works whose objective is to show its performance, or to provide solutions to its limitations. Indeed, this work consists in validation of a fuzzy direct torque control architecture implemented on the ML402 development kit (based on the Xilinx Virtex-4 type field programmable gate array circuit), through hardware description language (VHDL) and Xilinx generator system. The obtained results showed the robustness of the control and sensorless in front of load and parameters variation of induction motor control. The research directions of the model were determined for the subsequent implementation of results with simulation samples.

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Mathematical modelling of starting modes of induction motors with squirrel-cage rotor

Cited by 4 publications

References 5 publications

Numerical-field analysis of active and reactive winding parameters and mechanical characteristics of a squirrel-cage induction motor

Numerical-field analysis of active and reactive winding parameters and mechanical characteristics of a squirrel-cage induction motor

Calculation of Processes in the Electric Drive of the Sucker-Rod Pumping Unit with Reactive Power Compensation

Field programmable gate array hardware in the loop validation of fuzzy direct torque control for induction machine drive

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