Application of fractional order transfer function with zero and pole in approximation of electromechanical systems high order objects

Kopchak, Bohdan; Kopchak, Marianna

doi:10.1109/memstech.2018.8365694

Cited by 7 publications

(3 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Studies [15,16] examined the approximation (replacement) of the high-order integer transfer function using simpler transfer functions of different types with three or five variable parameters. To this end, the particle swarm optimization method was used.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…For most objects of control, their mathematical model can be represented by the transfer functions of different order. Works [15,16] consider the possibility of replacing (approximation) of the integer transfer function of a high order by means of the transfer functions of fractional order of different types with three, or with five variable parameters, namely: Finding TF parameters (4) or (5) can be done by one of the intelligent methods. To preserve a single methodology for the parametric synthesis and identification of the object, the GA method was used.…”

Section: A Procedures Of the Parametric Synthesis Of Pi λ D μ -Contmentioning

confidence: 99%

See 1 more Smart Citation

Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Kopchak¹,

Marushchak²,

Zaleski³

2020

EEJET

Self Cite

View full text Add to dashboard Cite

The modern industry is dominated by electric drives of the system frequency converter-induction motor, which employ integer-order controllers. Allowing the implementation and adjustment of fractional order controllers in the converter itself greatly expand their capabilities and, therefore, is relevant. This paper reports a procedure for the parametric synthesis of PI λ D μ-controllers of fractional order, providing for the use of the desired forms of fractional order, as well as their practical implementation in the system frequency converter-induction motor. In this case, the control object is described by a transfer function of the fractional or integer order, derived on the basis of experimental results. The study results demonstrate the possibility of constructing new, as well as modernizing existing, electromechanical systems involving the fractional-order PI λ D μ-controllers with an expanded range of dynamic properties that correspond to the desired forms of fractional order. The procedure for the parametric synthesis of a PI λ D μ-controller has been theoretically substantiated, which was confirmed by applying the simulation and during field experiments concerning the system frequency converter-induction motor. The reported procedure is universal because it makes it possible to synthesize the PI λ D μ-controller for standard forms of both the integer and fractional orders. It is clear that the range of the desired standard forms in the synthesis process can include all possible known forms, including those of fractional order. The result of this study allows us to argue that it is possible to apply the developed algorithm of actions for those engineering tasks that aim to build such systems for various industrial mechanisms. At the same time, no restrictions are imposed on the transfer function of the control object

show abstract

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: A Procedures Of the Parametric Synthesis Of Pi λ D μ -Contmentioning

confidence: 99%

Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Kopchak¹,

Marushchak²,

Zaleski³

2020

EEJET

Self Cite

View full text Add to dashboard Cite

show abstract

“…This forces researchers to improve new methods and tool including such intelligence methods of optimization as a genetic algorithm in solving the problems of the analysis and synthesis of such EMS. An increase in the number of publications on this subject [1][2][3][4][5][6] indicates a significant interest in such a problem. The genetic algorithm (GA) is designed to find the maximum of complex functions.…”

Section: Introduction and Problems Which Are Appearedmentioning

confidence: 99%

Genetic Algorithm Application for Synthesis and Analysis of Electromechanical Systems

Kopchak¹,

Kasha²

2018

Energy eng. control syst.

Self Cite

View full text Add to dashboard Cite

One of modern possible problem solutions of analysis and synthesis in electromechanical systems is the recourse to a genetic algorithm as a method of artificial intelligence. The originality of the proposed approach lies in the usage of fractional order models to solve the above-mentioned problem. The quality function is proposed to be used in the developed algorithms for analysis and synthesis procedures of electromechanical systems. It is also proposed to get the desired outcome of results deviation from the set values by means of quality function control after each iteration. Application of genetic algorithm method with the usage of fractional order reference models is an effective means of electromechanical systems transition processes approximation by fractional models as well as the selection of parameters of fractional controllers during their synthesis.

show abstract

Parametric Synthesis of Fractional Order Controllers for a Two-Mass Electromechanical Fire Lifts Basket Turning System

Kopchak,

Kushnir

2023

2023 IEEE 5th International Conference on Modern Electrical and Energy System (MEES)

View full text Add to dashboard Cite

Application of fractional order transfer function with zero and pole in approximation of electromechanical systems high order objects

Cited by 7 publications

References 3 publications

Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Devising a procedure for the parametric synthesis of fractional order controllers and their implementation in the FC–IM system

Genetic Algorithm Application for Synthesis and Analysis of Electromechanical Systems

Parametric Synthesis of Fractional Order Controllers for a Two-Mass Electromechanical Fire Lifts Basket Turning System

Contact Info

Product

Resources

About