Magnetic Equivalent Circuit Modeling of Induction Machines Design-Oriented Approach with Extension to 3-D

Amrhein, Marco; Krein, P.T.

doi:10.1109/iemdc.2007.383660

Cited by 21 publications

(9 citation statements)

References 23 publications

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“…Thus, with a denser mesh, the reliability of force and torque estimations increases [8]. The MEC framework introduced in [14], [16], and [18] allows the creation of the required dense reluctance element distributions, particu- …”

Section: B Mst Methodsmentioning

confidence: 99%

“…Based on the MEC modeling framework introduced in [14], [16], and [18], 2-D and 3-D MEC models with adjustable reluctance distributions are implemented. The initial 2-D reluctance element distribution (mesh) is shown in Fig.…”

Section: A 2-d and 3-d Mec Modelsmentioning

confidence: 99%

“…This nonlinear system of equations is solved using a globally convergent Newton-Raphson method, which is based on [17]. [14], [16], [18], where u i , φ i , and R i are the scalar magnetic potential, flux, and reluctance in branch i, respectively, u e is the scalar magnetic potential in the element center, and µ e the element permeability (assumed constant within the element).…”

Section: A Reluctance Element Definitionmentioning

confidence: 99%

“…A 3-D reluctance element has been defined [14], [16] that uses six reluctance branches to model a device region. These connect scalar magnetic potential nodes at the element center and boundaries, and represent flux tubes.…”

Section: A Reluctance Element Definitionmentioning

confidence: 99%

“…Results are compared to measurements, and to analytical and FEA models. The MST method has been successfully applied to torque calculations in induction machines [15], [16].…”

mentioning

confidence: 99%

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Force Calculation in 3-D Magnetic Equivalent Circuit Networks With a Maxwell Stress Tensor

Amrhein

Krein

2009

IEEE Trans. Energy Convers.

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Magnetic equivalent circuit (MEC) models are increasingly valuable for analysis and design of electromechanical devices, particularly electrical machines, because of their moderate computational effort and reasonable accuracy. Force and torque calculations in prior MEC implementations are almost exclusively based on the virtual work method (VWM) adapted to the specific device model. But VWM does not easily extend to a general MEC modeling approach. In this paper, the more direct Maxwell stress tensor (MST) method is applied to a general 3-D MEC modeling framework. MST theory and implementation are presented. Its application is discussed with the example of an electromagnet. Results are compared to both measurements and analytical and finite-element models. Index Terms-3-D magnetic equivalent circuits (MECs), electromagnet, force calculation, Maxwell stress tensor (MST), modeling of electromechanical devices, virtual work method (VWM).

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Section: B Mst Methodsmentioning

confidence: 99%

Section: A 2-d and 3-d Mec Modelsmentioning

confidence: 99%

Section: A Reluctance Element Definitionmentioning

confidence: 99%

Section: A Reluctance Element Definitionmentioning

confidence: 99%

“…Results are compared to measurements, and to analytical and FEA models. The MST method has been successfully applied to torque calculations in induction machines [15], [16].…”

mentioning

confidence: 99%

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Force Calculation in 3-D Magnetic Equivalent Circuit Networks With a Maxwell Stress Tensor

Amrhein

Krein

2009

IEEE Trans. Energy Convers.

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Unified Calculation Method for Motor Torque in Reluctance Network Analysis

Nakamura¹,

Ichinokura

2016

Electrical Engineering Japan

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A reluctance network analysis (RNA), which is an improved magnetic circuit method, has some advantages: the analytical model is simple, the calculation accuracy is relatively high, and a coupled analysis with an electric circuit, a heat circuit, a motion equation, and so on, is fundamentally easy. The RNA has been applied to the dynamic analysis of several motors such as a surface permanent magnet (SPM) motor, an interior permanent magnet (IPM) motor, and a switched reluctance (SR) motor. The dynamic characteristics of these motors including starting and a sudden load change can be calculated by an RNA. However, the torque calculation methods for these motors are different from each other. This paper presents a unified calculation method for the motor torque in an RNA, which does not depend on the types and structures of motors. The validity and availability of the proposed method are demonstrated by a finite element method (FEM) and an experiment. C⃝ 2016 Wiley Periodicals, Inc. Electr Eng Jpn, 198(1): 25-33, 2017; Published online in Wiley Online Library (wileyonlinelibrary.com).

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Implementation of the sliding-line technique in a MEC model of a linear bistable actuator

Utegenova

2021

COMPEL

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Purpose The aim of this study is to investigate the implementation of the sliding-line technique (SLT) in a generic two-dimensional (2D) nonlinear adaptive magnetic equivalent circuit (MEC) model predicting the electromagnetic force evolution of a linear bistable electromagnetic actuator technology. Design/methodology/approach The developed MEC model considers the saturation effect and the auto-adjustability of the spatial discretisation. The connection between static and mobile zones is ensured by an approach known as “air-gap sliding-line technique”, which is widely used for rotary electric motor models. To the best of the author’s knowledge, that is the first time that the SLT is implemented on an electromagnetic structure with linear motion. Findings It was found that, in case of a linear actuator with a relatively small working stroke, the implementation of the SLT could lead to some non-negligible inaccuracies. Originality/value To solve the above-mentioned problem, it was proposed to investigate the implementation of a single SLT vs double SLT. The results of the MEC models were compared with the 2D finite-element analysis (FEA) as well as with the experimental test results. The developed semi-analytical models can be easily adapted to other topologies of linear electromagnetic machines.

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Magnetic Equivalent Circuit Modeling of Induction Machines Design-Oriented Approach with Extension to 3-D

Cited by 21 publications

References 23 publications

Force Calculation in 3-D Magnetic Equivalent Circuit Networks With a Maxwell Stress Tensor

Force Calculation in 3-D Magnetic Equivalent Circuit Networks With a Maxwell Stress Tensor

Unified Calculation Method for Motor Torque in Reluctance Network Analysis

Implementation of the sliding-line technique in a MEC model of a linear bistable actuator

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