Mathematical Model of a Three‐Phase Induction Machine in a Natural abc Reference Frame Utilizing the Method of Numerical Integration of Average Voltages at the Integration Step and Its Application to the Analysis of Electromechanical Systems

Kuznyetsov, Oleksiy

doi:10.1155/2019/4581769

Cited by 8 publications

(5 citation statements)

References 22 publications

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“…The AVIS method has the advantages of high computational efficiency and numerical stability, making it possible to create fast-response mathematical models that can operate in realtime mode and interact with physical objects using hardware-in-the-loop technology. For instance, such models have been developed for electrical drives with three-phase induction motors [22,23] and multi-phase induction machines [13]. Moreover, the AVIS method has been used to create models of a power generation system with a synchronous generator [24] and electrical systems with parallel calculations [25].…”

Section: Mathematical Model Of the 6psimmentioning

confidence: 99%

An Analysis of Asymmetrical and Open-Phase Modes in a Symmetrical Two-Channel Induction Machine with Consideration of Spatial Harmonics

Kutsyk,

Korkosz,

Bogusz

et al. 2024

Energies

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This paper focuses on analyzing asymmetric and open-phase fault modes in symmetrical two-channel six-phase induction machines while considering the spatial harmonics of the electromagnetic field in the air gap. Under sinusoidal power supply, the magnetomotive force exhibits high-order spatial harmonics, which arise due to the winding design. The interaction between these spatial harmonics and the first-time harmonic of the power supply results in the presence of high-order harmonics in the current and electromagnetic torque. The harmonic content of the currents and torque under asymmetric and open-phase operation mode while taking into account spatial harmonics is analyzed. It is shown that in asymmetrical modes, in addition to the 5th, 7th, 11th, and 13th higher harmonics found in symmetrical modes, harmonics in multiples of the 3rd are introduced into the stator winding currents. As for the composition of the electromagnetic torque in asymmetrical modes, all even harmonics are present, in addition to the 6th and 12th harmonics that are characteristic of symmetrical modes. A mathematical model of the six-phase induction machine has been developed using the average voltages within the integration step method. Its adequacy was verified by comparing the simulation results with the experimental results obtained from the developed prototype.

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Section: Mathematical Model Of the 6psimmentioning

confidence: 99%

An Analysis of Asymmetrical and Open-Phase Modes in a Symmetrical Two-Channel Induction Machine with Consideration of Spatial Harmonics

Kutsyk,

Korkosz,

Bogusz

et al. 2024

Energies

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“…It enables the creation of fast-response mathematical models, which can work in real-time mode with the interaction of physical objects (hardware-in-the-loop technology). Examples of such models for electrical drives with a three-phase IM are presented in [34,35], and power systems with wind turbines are discussed in [36]. Reference [37] presents mathematical models of electrotechnical systems with synchronous machines and technology for use in testing synchronous generator excitation systems.…”

Section: Mathematical Model Description Of Symmetrical 6pim Taking In...mentioning

confidence: 99%

An Influence of Spatial Harmonics on an Electromagnetic Torque of a Symmetrical Six-Phase Induction Machine

et al. 2023

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The analyses of the influence of spatial harmonics on the electromagnetic torque of the multi-phase induction machine and reducing this influence are important tasks to ensure the high efficiency of the induction machine. Designing the machine to consider the influence of spatial harmonics is essential to ensure the desired mechanical and energy characteristics. In the case of the sinusoidal winding supply of the induction machine, the magnetomotive force has high spatial harmonics, which are caused by the machine-winding design. The interaction between the 5th, 7th, 11th and 13th spatial harmonics of the winding function and the first time-harmonic of the winding supply causes the appearance of the 6th and 12th harmonics in the electromagnetic torque of the machine. A prototype of the symmetrical six-phase induction machine and the experimental study for the influence of spatial harmonics on the harmonic content of the stator currents in different machine modes are given in this paper. The mathematical model of the six-phase induction machine has been developed using the average voltages in integration step method. The introduction of the harmonic components into the magnetization inductance in the mathematical model of the six-phase induction machine for taking into account the spatial harmonics of the machine-winding function is proposed in this paper. The adequacy of the mathematical model was confirmed by comparing the simulation and experimental results. The harmonic content of the electromagnetic torque, which is caused by spatial harmonic influence, is analyzed.

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“…The induction motor dynamic equations in the fixed stator αβ frame are as follows (Kuznyetsov, 2019): …”

Section: Induction Motor Modelingmentioning

confidence: 99%

Power quality improvement of large power induction motor drive using three-level front-end converter

Mohanty

Daramukkala

2023

WJE

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Purpose The purpose of this study is to provide the enhancement of power quality of a high power-rated voltage source inverter driven induction motor with a three-phase, three-level neutral point clamped converter placed at the front end, while a passive power filter is connected in shunt with it. The improvement in power quality can be achieved by reducing the total harmonic distortion in source current. The controllers were designed for the linearization of the high-power induction motor drive. A control method is presented for the regulation of the common DC-link voltage. Design/methodology/approach The induction motor is modeled using its dynamic equations, and a decoupling controller is designed to linearize the nonlinear dynamics of the drive through feedback. The common DC-link voltage of the proposed front-end connected converter is monitored and controlled through a control method which feeds the pulse width modulated inverter that drives the induction motor. A passive power filter is designed to meet the reactive power requirement of the system in addition to improve the power quality. Findings Simulations were carried out for the proposed topology of the drive mechanism, and the outcomes were analyzed by a comparative analysis of the drive system both in the presence of the passive filter as well as in the absence of the filter. The total harmonic distortion is found to be reduced enough to meet the standards with the designed filter, and the reactive power is also compensated considerably. The input power factor at the supply side is maintained almost to unity, and the DC-link voltage of the proposed circuit topology is maintained at the desired level. The overall performance of the drive system was found to be useful and economical. Originality/value A new topology of a front-end connected three-level neutral point clamped converter to a high power-rated induction motor drive is proposed. The drive is fed by a pulse width modulated inverter with a common DC-link with the front end connected converter. A passive filter is designed with respect to the reactive power requirement of the system and connected in shunt to the converter at the supply side. Control schemes are designed and used for the drive system and also for the regulation of the common DC-link voltage of the proposed front end connected converter.

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Mathematical Model of a Three‐Phase Induction Machine in a Natural abc Reference Frame Utilizing the Method of Numerical Integration of Average Voltages at the Integration Step and Its Application to the Analysis of Electromechanical Systems

Cited by 8 publications

References 22 publications

An Analysis of Asymmetrical and Open-Phase Modes in a Symmetrical Two-Channel Induction Machine with Consideration of Spatial Harmonics

An Analysis of Asymmetrical and Open-Phase Modes in a Symmetrical Two-Channel Induction Machine with Consideration of Spatial Harmonics

An Influence of Spatial Harmonics on an Electromagnetic Torque of a Symmetrical Six-Phase Induction Machine

Power quality improvement of large power induction motor drive using three-level front-end converter

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