A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics

Julien Cordier; Ralph Kennel

doi:10.1109/ECCE.2018.8558254

A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics

Julien Cordier
, Ralph Kennel

Chair of High-Power Converter Systems

Technical University of Munich

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

The present paper uses the winding function theory to propose a simple model of induction machines considering the effect of space harmonics and winding-interconnections. Taking advantage of the positive definiteness of the inductance matrix, the model equations are solved with a Cholesky decomposition, which ensures increased efficiency and numerical stability. This aspect makes the use of winding function based models promising in real-time control applications featuring off-the-shelf induction machines. Potential applications are current and torque harmonic reduction and rotor position estimation.

Original language	English
Title of host publication	2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1595-1602
Number of pages	8
ISBN (Electronic)	9781479973118
DOIs	https://doi.org/10.1109/ECCE.2018.8558254
State	Published - 3 Dec 2018
Event	10th Annual IEEE Energy Conversion Congress and Exposition, ECCE 2018 - Portland, United States Duration: 23 Sep 2018 → 27 Sep 2018

Publication series

Name	2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018

Conference

Conference	10th Annual IEEE Energy Conversion Congress and Exposition, ECCE 2018
Country/Territory	United States
City	Portland
Period	23/09/18 → 27/09/18

Keywords

Control applications
Induction machine modelling
Winding function
Winding interconnection

Access to Document

10.1109/ECCE.2018.8558254

Cite this

Cordier, J., & Kennel, R. (2018). A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics. In 2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018 (pp. 1595-1602). Article 8558254 (2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECCE.2018.8558254

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title = "A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics",

abstract = "The present paper uses the winding function theory to propose a simple model of induction machines considering the effect of space harmonics and winding-interconnections. Taking advantage of the positive definiteness of the inductance matrix, the model equations are solved with a Cholesky decomposition, which ensures increased efficiency and numerical stability. This aspect makes the use of winding function based models promising in real-time control applications featuring off-the-shelf induction machines. Potential applications are current and torque harmonic reduction and rotor position estimation.",

keywords = "Control applications, Induction machine modelling, Winding function, Winding interconnection",

author = "Julien Cordier and Ralph Kennel",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 10th Annual IEEE Energy Conversion Congress and Exposition, ECCE 2018 ; Conference date: 23-09-2018 Through 27-09-2018",

year = "2018",

month = dec,

day = "3",

doi = "10.1109/ECCE.2018.8558254",

language = "English",

series = "2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018",

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Cordier, J & Kennel, R 2018, A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics. in 2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018., 8558254, 2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018, Institute of Electrical and Electronics Engineers Inc., pp. 1595-1602, 10th Annual IEEE Energy Conversion Congress and Exposition, ECCE 2018, Portland, United States, 23/09/18. https://doi.org/10.1109/ECCE.2018.8558254

A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics. / Cordier, Julien; Kennel, Ralph.
2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 1595-1602 8558254 (2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics

AU - Cordier, Julien

AU - Kennel, Ralph

PY - 2018/12/3

Y1 - 2018/12/3

N2 - The present paper uses the winding function theory to propose a simple model of induction machines considering the effect of space harmonics and winding-interconnections. Taking advantage of the positive definiteness of the inductance matrix, the model equations are solved with a Cholesky decomposition, which ensures increased efficiency and numerical stability. This aspect makes the use of winding function based models promising in real-time control applications featuring off-the-shelf induction machines. Potential applications are current and torque harmonic reduction and rotor position estimation.

AB - The present paper uses the winding function theory to propose a simple model of induction machines considering the effect of space harmonics and winding-interconnections. Taking advantage of the positive definiteness of the inductance matrix, the model equations are solved with a Cholesky decomposition, which ensures increased efficiency and numerical stability. This aspect makes the use of winding function based models promising in real-time control applications featuring off-the-shelf induction machines. Potential applications are current and torque harmonic reduction and rotor position estimation.

KW - Control applications

KW - Induction machine modelling

KW - Winding function

KW - Winding interconnection

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DO - 10.1109/ECCE.2018.8558254

M3 - Conference contribution

AN - SCOPUS:85060272174

T3 - 2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018

SP - 1595

EP - 1602

BT - 2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th Annual IEEE Energy Conversion Congress and Exposition, ECCE 2018

Y2 - 23 September 2018 through 27 September 2018

ER -

Cordier J, Kennel R. A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics. In 2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 1595-1602. 8558254. (2018 IEEE Energy Conversion Congress and Exposition, ECCE 2018). doi: 10.1109/ECCE.2018.8558254

A Simple and Efficient State-Space Model of Induction Machines with Interconnected Windings Including Space Harmonics

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