Closed-Form solution for the slot leakage inductance of tooth-coil-winding permanent magnet machines

Carlos Madariaga; Werner Jara; Juan A. Tapia; Juha Pyrhönen; Pia Lindh; Javier A. Riedemann

doi:10.1109/TEC.2019.2908053

Closed-Form solution for the slot leakage inductance of tooth-coil-winding permanent magnet machines

Carlos Madariaga, Werner Jara, Juan A. Tapia, Juha Pyrhönen, Pia Lindh, Javier A. Riedemann

SCHOOL OF ELECTRICAL ENGINEERING

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

This paper presents a methodology for the analytical computation of the slot leakage inductance of tooth-coil winding permanent magnet synchronous machines. Generalized equations for the slot leakage inductance of the whole phase are derived, suitable for several slot-pole combinations, and meant to be used during the machine design stage. For simplicity, self-and mutualinductance components are formulated using the classical method with detailed permeance determination for both horizontal and vertical distribution of coil sides in the slots, considering a straightline path for the flux leakage. Several slot-pole combinations were simulated by means of the finite element (FE) method in order to validate the analytical equations in both approaches, FE and analytical, showing adequate concordance.

Original language	English
Article number	Y
Pages (from-to)	1572-1580
Number of pages	9
Journal	IEEE Transactions on Energy Conversion
Volume	34
Issue number	3
DOIs	https://doi.org/10.1109/TEC.2019.2908053
State	Published - Sep 2019

Keywords

Electrical machines
Finite-element analysis inductance
Permanent magnet machines
Tooth coil windings.

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10.1109/TEC.2019.2908053

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title = "Closed-Form solution for the slot leakage inductance of tooth-coil-winding permanent magnet machines",

abstract = "This paper presents a methodology for the analytical computation of the slot leakage inductance of tooth-coil winding permanent magnet synchronous machines. Generalized equations for the slot leakage inductance of the whole phase are derived, suitable for several slot-pole combinations, and meant to be used during the machine design stage. For simplicity, self-and mutualinductance components are formulated using the classical method with detailed permeance determination for both horizontal and vertical distribution of coil sides in the slots, considering a straightline path for the flux leakage. Several slot-pole combinations were simulated by means of the finite element (FE) method in order to validate the analytical equations in both approaches, FE and analytical, showing adequate concordance.",

keywords = "Electrical machines, Finite-element analysis inductance, Permanent magnet machines, Tooth coil windings.",

author = "Carlos Madariaga and Werner Jara and Tapia, {Juan A.} and Juha Pyrh{\"o}nen and Pia Lindh and Riedemann, {Javier A.}",

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AU - Madariaga, Carlos

AU - Jara, Werner

AU - Tapia, Juan A.

AU - Pyrhönen, Juha

AU - Lindh, Pia

AU - Riedemann, Javier A.

PY - 2019/9

Y1 - 2019/9

N2 - This paper presents a methodology for the analytical computation of the slot leakage inductance of tooth-coil winding permanent magnet synchronous machines. Generalized equations for the slot leakage inductance of the whole phase are derived, suitable for several slot-pole combinations, and meant to be used during the machine design stage. For simplicity, self-and mutualinductance components are formulated using the classical method with detailed permeance determination for both horizontal and vertical distribution of coil sides in the slots, considering a straightline path for the flux leakage. Several slot-pole combinations were simulated by means of the finite element (FE) method in order to validate the analytical equations in both approaches, FE and analytical, showing adequate concordance.

AB - This paper presents a methodology for the analytical computation of the slot leakage inductance of tooth-coil winding permanent magnet synchronous machines. Generalized equations for the slot leakage inductance of the whole phase are derived, suitable for several slot-pole combinations, and meant to be used during the machine design stage. For simplicity, self-and mutualinductance components are formulated using the classical method with detailed permeance determination for both horizontal and vertical distribution of coil sides in the slots, considering a straightline path for the flux leakage. Several slot-pole combinations were simulated by means of the finite element (FE) method in order to validate the analytical equations in both approaches, FE and analytical, showing adequate concordance.

KW - Electrical machines

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Closed-Form solution for the slot leakage inductance of tooth-coil-winding permanent magnet machines

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