Synthesis of speed controllers by the polynomial equations method for an unstable electromechanical object
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Vladyslav Markov
Associate professor. Graduated from NTU «KhPI» in 1994, received a PhD degree in 2001.and Yevhen Honcharov
Associate professor. Graduated from NTU «KhPI» in 2006, received a PhD degree in 2016.
Abstract
The article shows the possibility of synthesis of speed controllers by the polynomial equations method for a two-mass initially unstable object. The instability is caused by the non-linear nature of the friction load with so-called falling section. The low – order and full-order speed controllers with motor speed feedback which provide acceptable quality control indicators are synthesized. Analytical expressions for finding the parameters of the controllers are given, and computer simulations are also presented. A conclusion was made about the preference of using the low-order controller.
Zusammenfassung
Der Artikel zeigt die Möglichkeit der Synthese von Geschwindigkeitsreglern nach der Methode der Polynomgleichungen für ein zunächst instabiles Objekt mit zwei Massen. Die Instabilität wird durch die nichtlineare Natur der Reibungslast mit dem sogenannten fallenden Abschnitt verursacht. Es wurden unvollständige und vollständige Drehzahlregler mit Motordrehzahlrückführung synthetisiert, die akzeptable Indikatoren für die Regelqualität liefern. Es werden analytische Ausdrücke zum Ermitteln der Parameter der Regler angegeben und auch die Computermodellierung vorgestellt. Es wurde eine Schlussfolgerung über den Vorteil der Verwendung eines unvollständigen Ordnungsreglers gezogen.
About the authors

Associate professor. Graduated from NTU «KhPI» in 1994, received a PhD degree in 2001.

Associate professor. Graduated from NTU «KhPI» in 2006, received a PhD degree in 2016.
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Research ethics: We strictly adhere to research ethics. In particular, we do not allow plagiarism and the use of other people's results without citation.
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Informed consent: Not applicable.
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Author contributions: Both authors made significant contributions to the work.
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Use of Large Language Models, AI and Machine Learning Tools: None declared.
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Conflict of interest: No competing interests.
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Research funding: No research funding.
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Data availability: Yes, all data is available.
References
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Articles in the same Issue
- Frontmatter
- Editorial
- Resilient energy supply in times of crises and transition
- Methods
- Batteries for fast frequency containment response: market impacts on outage dynamics
- Synthesis of speed controllers by the polynomial equations method for an unstable electromechanical object
- Optimal power dispatch in microgrids using mixed-integer linear programming
- Review on peak detect and hold circuits and their applicability in partial discharge detection
- Applications
- Analysis of the degree of correlation of spatial distribution of electricity theft and exogenous variables: case study of Florianopolis, Brazil
- Linear transverse flux generator for wave energy conversion: design optimization and analysis
- Improving quality of electricity generated by grid-tied inverters in solar power plants in low generated power mode using frequency adaptive PWM
- Survey
- Regional marketing mechanisms for industrial energy flexibility enabled by service-oriented IT platforms