Fractional Order Modelling of DC-DC Boost Converters

Nasrin Kianpoor; Mojtaba Yousefi; Navid Bayati; Amin Hajizadeh; Mohsen N. Soltani

doi:10.1109/ISIE.2019.8781387

Fractional Order Modelling of DC-DC Boost Converters

Nasrin Kianpoor, Mojtaba Yousefi, Navid Bayati, Amin Hajizadeh, Mohsen N. Soltani

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

8 Citations (Scopus)

Abstract

This paper presents a fractional order modeling and analysis method for a DC-DC Boost converter in discontinuous conduction mode (DCM) by using circuit averaging method. First, an equivalent averaged circuit model for the fractional order Boost converter in DCM operation is proposed. Then at the second stage, the corresponding DC circuit model is obtained by averaged circuit model. Finally, the transfer function of the duty cycle to the output voltage and also the transfer function of the input voltage to the output voltage in DCM operation are derived from the corresponding small signal equivalent circuit model. Simulation results are presented to show the correctness of the proposed method. These simulation results indicate that the fractional order model has a specific significance for the performance of the DC-DC converter.

Original language	English
Title of host publication	Proceedings of 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE)
Number of pages	6
Publisher	IEEE Press
Publication date	Jun 2019
Pages	864-869
Article number	8781387
ISBN (Electronic)	9781728136660
DOIs	https://doi.org/10.1109/ISIE.2019.8781387
Publication status	Published - Jun 2019
Event	2019 IEEE 28th International Symposium on Industrial Electronics (ISIE) - Vancouver, Canada Duration: 12 Jun 2019 → 14 Jun 2019

Conference

Conference	2019 IEEE 28th International Symposium on Industrial Electronics (ISIE)
Country/Territory	Canada
City	Vancouver
Period	12/06/2019 → 14/06/2019

Series	IEEE International Symposium on Industrial Electronics (ISIE)
ISSN	2163-5145

Keywords

Averaging technique
Boost converter
Fractional calculus
Modeling
Transfer function

Access to Document

10.1109/ISIE.2019.8781387

Cite this

@inproceedings{6d3b3d9a0cfd4976a78044ee86de5100,

title = "Fractional Order Modelling of DC-DC Boost Converters",

abstract = "This paper presents a fractional order modeling and analysis method for a DC-DC Boost converter in discontinuous conduction mode (DCM) by using circuit averaging method. First, an equivalent averaged circuit model for the fractional order Boost converter in DCM operation is proposed. Then at the second stage, the corresponding DC circuit model is obtained by averaged circuit model. Finally, the transfer function of the duty cycle to the output voltage and also the transfer function of the input voltage to the output voltage in DCM operation are derived from the corresponding small signal equivalent circuit model. Simulation results are presented to show the correctness of the proposed method. These simulation results indicate that the fractional order model has a specific significance for the performance of the DC-DC converter.",

keywords = "Averaging technique, Boost converter, Fractional calculus, Modeling, Transfer function",

author = "Nasrin Kianpoor and Mojtaba Yousefi and Navid Bayati and Amin Hajizadeh and {N. Soltani}, Mohsen",

year = "2019",

month = jun,

doi = "10.1109/ISIE.2019.8781387",

language = "English",

series = "IEEE International Symposium on Industrial Electronics (ISIE)",

publisher = "IEEE Press",

pages = "864--869",

booktitle = "Proceedings of 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE)",

note = "2019 IEEE 28th International Symposium on Industrial Electronics (ISIE) ; Conference date: 12-06-2019 Through 14-06-2019",

}

Kianpoor, N, Yousefi, M, Bayati, N, Hajizadeh, A & N. Soltani, M 2019, Fractional Order Modelling of DC-DC Boost Converters. in Proceedings of 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE)., 8781387, IEEE Press, IEEE International Symposium on Industrial Electronics (ISIE), pp. 864-869, 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE) , Vancouver, Canada, 12/06/2019. https://doi.org/10.1109/ISIE.2019.8781387

Fractional Order Modelling of DC-DC Boost Converters. / Kianpoor, Nasrin; Yousefi, Mojtaba; Bayati, Navid et al.

Proceedings of 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE). IEEE Press, 2019. p. 864-869 8781387 (IEEE International Symposium on Industrial Electronics (ISIE)).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

TY - GEN

T1 - Fractional Order Modelling of DC-DC Boost Converters

AU - Kianpoor, Nasrin

AU - Yousefi, Mojtaba

AU - Bayati, Navid

AU - Hajizadeh, Amin

AU - N. Soltani, Mohsen

PY - 2019/6

Y1 - 2019/6

N2 - This paper presents a fractional order modeling and analysis method for a DC-DC Boost converter in discontinuous conduction mode (DCM) by using circuit averaging method. First, an equivalent averaged circuit model for the fractional order Boost converter in DCM operation is proposed. Then at the second stage, the corresponding DC circuit model is obtained by averaged circuit model. Finally, the transfer function of the duty cycle to the output voltage and also the transfer function of the input voltage to the output voltage in DCM operation are derived from the corresponding small signal equivalent circuit model. Simulation results are presented to show the correctness of the proposed method. These simulation results indicate that the fractional order model has a specific significance for the performance of the DC-DC converter.

AB - This paper presents a fractional order modeling and analysis method for a DC-DC Boost converter in discontinuous conduction mode (DCM) by using circuit averaging method. First, an equivalent averaged circuit model for the fractional order Boost converter in DCM operation is proposed. Then at the second stage, the corresponding DC circuit model is obtained by averaged circuit model. Finally, the transfer function of the duty cycle to the output voltage and also the transfer function of the input voltage to the output voltage in DCM operation are derived from the corresponding small signal equivalent circuit model. Simulation results are presented to show the correctness of the proposed method. These simulation results indicate that the fractional order model has a specific significance for the performance of the DC-DC converter.

KW - Averaging technique

KW - Boost converter

KW - Fractional calculus

KW - Modeling

KW - Transfer function

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M3 - Article in proceeding

T3 - IEEE International Symposium on Industrial Electronics (ISIE)

SP - 864

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BT - Proceedings of 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE)

PB - IEEE Press

T2 - 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE)

Y2 - 12 June 2019 through 14 June 2019

ER -

Fractional Order Modelling of DC-DC Boost Converters

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Fractional Order Modelling of DC-DC Boost Converters

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Keywords

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Energy management in a "smart home" with integrated solar cells, electric vehicles and heat pumps - Energistyring i et ”smart home” med integrerede solceller, elbiler og varmepumper

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