Relative Stability of Electrical into Mechanical Conversion with BLDC Motor-Cascade Control

The conversion of the electrical energy into the mechanical is usually realized by a motor, power electronics and cascade control. The relative stability (<inline-formula><math display="inline"><semantics><mo>Θ</mo></semantics></math></inline-fo...

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Main Authors: Sylwester Sobieraj, Grzegorz Sieklucki, Józef Gromba
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/3/704
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author Sylwester Sobieraj
Grzegorz Sieklucki
Józef Gromba
author_facet Sylwester Sobieraj
Grzegorz Sieklucki
Józef Gromba
author_sort Sylwester Sobieraj
collection DOAJ
description The conversion of the electrical energy into the mechanical is usually realized by a motor, power electronics and cascade control. The relative stability (<inline-formula><math display="inline"><semantics><mo>Θ</mo></semantics></math></inline-formula>-stability), i.e., the displacement of its eigenvalues of this system is analyzed for a drive with a BLDC motor. The influence of changing the basic parameters of the motor and power supply system on the drive operation is considered. 4th order closed-loop transfer-function of the cascade control is presented, where boundaries of the transfer-function coefficients are used. The cascade system which uncertainty of the resistance, inductance, flux and gain parameters is analyzed. Theoretical calculations for the cascade control, simulations and laboratory tests are included in the article.
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spelling doaj.art-18d5da575aa248dda19960fcd87a67802023-12-03T15:16:44ZengMDPI AGEnergies1996-10732021-01-0114370410.3390/en14030704Relative Stability of Electrical into Mechanical Conversion with BLDC Motor-Cascade ControlSylwester Sobieraj0Grzegorz Sieklucki1Józef Gromba2Department of Power Electronics and Energy Control Systems, AGH University of Science and Technology, 30-059 Krakow, PolandDepartment of Power Electronics and Energy Control Systems, AGH University of Science and Technology, 30-059 Krakow, PolandDepartment of Power Electronics and Energy Control Systems, AGH University of Science and Technology, 30-059 Krakow, PolandThe conversion of the electrical energy into the mechanical is usually realized by a motor, power electronics and cascade control. The relative stability (<inline-formula><math display="inline"><semantics><mo>Θ</mo></semantics></math></inline-formula>-stability), i.e., the displacement of its eigenvalues of this system is analyzed for a drive with a BLDC motor. The influence of changing the basic parameters of the motor and power supply system on the drive operation is considered. 4th order closed-loop transfer-function of the cascade control is presented, where boundaries of the transfer-function coefficients are used. The cascade system which uncertainty of the resistance, inductance, flux and gain parameters is analyzed. Theoretical calculations for the cascade control, simulations and laboratory tests are included in the article.https://www.mdpi.com/1996-1073/14/3/704energy conversionBLDC motorcascade controlPI controllerrelative stabilityKharitonov theorem
spellingShingle Sylwester Sobieraj
Grzegorz Sieklucki
Józef Gromba
Relative Stability of Electrical into Mechanical Conversion with BLDC Motor-Cascade Control
Energies
energy conversion
BLDC motor
cascade control
PI controller
relative stability
Kharitonov theorem
title Relative Stability of Electrical into Mechanical Conversion with BLDC Motor-Cascade Control
title_full Relative Stability of Electrical into Mechanical Conversion with BLDC Motor-Cascade Control
title_fullStr Relative Stability of Electrical into Mechanical Conversion with BLDC Motor-Cascade Control
title_full_unstemmed Relative Stability of Electrical into Mechanical Conversion with BLDC Motor-Cascade Control
title_short Relative Stability of Electrical into Mechanical Conversion with BLDC Motor-Cascade Control
title_sort relative stability of electrical into mechanical conversion with bldc motor cascade control
topic energy conversion
BLDC motor
cascade control
PI controller
relative stability
Kharitonov theorem
url https://www.mdpi.com/1996-1073/14/3/704
work_keys_str_mv AT sylwestersobieraj relativestabilityofelectricalintomechanicalconversionwithbldcmotorcascadecontrol
AT grzegorzsieklucki relativestabilityofelectricalintomechanicalconversionwithbldcmotorcascadecontrol
AT jozefgromba relativestabilityofelectricalintomechanicalconversionwithbldcmotorcascadecontrol