The use of segmented-shifted grain-oriented sheets in magnetic circuits of small AC motors
-
Vincent Mallard
, Cristian Demian , Jean-François Brudny und Guillaume Parent
Abstract
In order to increase energy efficiency of AC rotating machines, one possibility is the use of Grain-Oriented steel sheets to build stator magnetic circuits in order to reduce iron losses. After presenting the general concept considering a non-segmented-shifted sheets prototype recently developed in our laboratory, a segmented structure is introduced. Experimental comparisons between these structures are performed using static machines. The main results are analysed using Finite Element modelling that leads to extract the particular physical concepts which govern these associations.
1 Introduction
It is now recognized that developing renewable energies to reduce the use of fossil fuels can only be done efficiently by acting simultaneously on the devices concerned by increasing their energy efficiency. Considering the important role of electric motors, and more particularly asynchronous machines, in terms of power consumption, it seems obvious that their design must be reconsidered to accompany this energy transition.
Usually, to increase the efficiency of an electrical machine, these are built to operate at lower induction. This
technique has the disadvantage of increasing the volume and the mass of the machine which implies an increase in the quantity of necessary material [1, 2, 3]. At the same time, researchers are trying to develop more energy-efficient materials [4].Anumber of improvements have been made and this is due to advances in the manufacture of electrical steel which result from a more optimal molecular composition in addition to an improved fabrication process [5].
The most common material used by machine manufacturers to build the magnetic circuit of AC rotating machines is an isotropic non-oriented electrical steel, referenced NO.
The second major class of electrical steel materials is Grain-Oriented (GO). Despite the very good performances according to its easy magnetization direction, the strong anisotropy made this technology unprofitable for small and medium power motors. Even if the scientific literature proposes some solutions [6, 7], these are generally considerably increasing the costs of machines due to the specific assembly of the magnetic circuit. In order to be able to overcome these constraints, the authors propose to use a new magnetic circuit made of non-segmented GO electrical steel. Indeed, many studies, in this field, realized by our laboratory show the increasing performance of the machine by using the shifted techniques [8, 9, 10]. In order to push forward these investigations, in this article, the authors purpose the employment of segmented-shifted GO sheets to design a magnetic circuit. The paper starts with a presentation of the non-segmented and segmented-shifting principle with a very limited number of segments compared to what is generally found in the literature. Specific prototypes, defined as static machines, are presented and built. The second part of the paper is dedicated to experimental results. The iron losses and stator currents evolution were compared for segmented and non-segmented structures. The third part is dedicated to a finite element analysis. This allows us to understand the complex 3D phenomena inside the stator magnetic circuits. A conclusion was drawn at the end of the paper.
2 Principles and Prototype designs
In industry GO steel is used especially in unidirectional fields for manufacturing the transformer cores due to his high magnetic properties along the Rolling Direction (RD). It can be noted degradation of performances when the value of anisotropy angle α evolves from 0° to 55°. This value of 55° is very close to that determined theoretically considering the "Goss texture" which leads to an angle of 54.73° [8]. When α change from 55° to 90°, the global performance improves but still remains poor. These considerations justify that for the GO material the major drawback is related to the fact that these steels are difficult compatible with rotating field characteristics of AC machines [7].
In order to exploit the properties of GO materials for α = 0° on the rotating machines, the authors proposed new assembly techniques based on the shifting principle.
2.1 Shifting principle
First attempt to use GO sheets in Stator Magnetic Circuit (SMC) of a small AC motor was the use of shifting principle only. This structure is stacked by shifting the RD of each successive lamination respectively by a constant spatial angle "β" [1]. Consequently, the easy magnetization directions of SMC laminations are distributed helicoidally along its axis. The choice of the value of "β" can cover all values between 0° and 90°, taking into account nevertheless a constraint related to the fact that the teeth must, for example, be overlapped. Under these conditions, the studies carried out showed that the field line transited from one sheet to another to evolve, if possible, according to an RD in order to satisfy the principle of the minimization of energy. However, the work presented in [8], shows that, in these conditions, the optimal value of "β" in terms of energy efficiency is found for 90°. In this case the structure allows decreasing magnetizing current and iron losses compared with stators made of NO sheets of the same thickness.
2.2 Segmented-shifting principle
The analysis of the previous structures shows that the natural air gaps between sheets are of the order of 5 μm, and the field lines that meet it during its transition from one sheet to another did not affect in a significant way, the energetic performances of the structure. For that reason, the authors decided to apply at a more local level the shifting principle in order to accentuate the gains already noted. To do this, it is necessary to use the segmentation of the sheets. It is the presence of this new technique along with maintaining as shifting mechanical angle the value of 90°, which makes the originality of this article.
Each lamination is divided into 6 identical parts and each segment is cut considering the RD. This RD is perpendicular to the axis of symmetry of the segment (thus practically perpendicular to the axis of the teeth) for segments S1 which constitute "sheet 1"and overlap with the axis of symmetry of the segment S2 (thus practically similar to the axis of the teeth) for segments S2 which constitute "sheet 2" (Figure 1a). In this way, as shown in Figure 1b, for two adjacent segments of a sheet, the RD are shifted.

Implementation of shifted segments in SMC
Once the inferior sheet has been constituted, for example segments S2, it is covered by the superior laminations made identically with segments S1 whose axis of symmetry of one of them is shifted by 30° from the two segments S2 that it covers.
Figure 1b presents the final combination considering two consecutive sheets, knowing that this procedure is reproduced identically until the desired length of the magnetic circuit is obtained. In this way, it appears 12 separate areas, each area being characterized by the RD of the upper and lower sheets.
2.3 Magnetic circuit configuration
In order to validate these different assembly techniques, using real machine prototypes have the disadvantage of being expensive and requiring relatively long construction times. The static machine prototypes which are a SMC of the real machines, can easily test different configurations corresponding to different values of "β" and various qualities of electrical steels. In fact, the only restrictions concern the cutting of laminations, the SMC and the coils being manufactured in our laboratory. The geometry of stator laminations corresponds to that presented in real machines. Their stator and rotor magnetic circuits are realized with GO sheets 0.35mm thick (Figure 2). The 4-poles windings of these machines were implemented by making two three-phase windings. First one, composed of 45 turns per phase and per pole pair, is the primary coil powered by a three-phase supply voltage. The second one, situated in the same slots as the first, with only 3 turns per phase and per pole pair, corresponds to a measuring winding.

Implementation stack with an example of a) segmented and b) non-segmented sheet
The comparison between different structures was made using two identical rotors build according to the shifting principle. To simplify the cutting process, non-slotted rotors are considered. The frequency of the stator and the rotor are identical. In these conditions, the measuring winding allows, using precision digital power meter, to measure the air-gap induction peak value
3 Iron losses and stator current
In the next, the two studied structures are considered: GO3590 for non-segmented 90° shifted structure and GO3590S for segmented 90° shifted structure. These are powered by a balanced three-phase sinusoidal voltage system.
Figures 3 and 4 show, respectively, Pμ and I variations with

Comparisons of

Comparisons of iron losses values
To assess globally these effects, Figure 5 compares the absorbed power P for the two GO structures.

Absorbed power
As can be observed, overall, the total losses are considerably reduced (ratio 1.5 to 2) with CGO3590S structure.
In an attempt to justify this rather surprising result, the identification of the path followed by the field line in both SMC is made using finite element analysis.
4 Finite element analysis
4.1 General considerations
The complex phenomena occurring in the two structures cannot be identified without a complete analysis of the magnetic flux distribution inside the sheets. However, the very small thickness of the air-gaps between laminations makes experimental measurements almost impossible to perform. The use of numerical methods seems to be the most appropriate solution here. Because of the strong anisotropy of GO sheets, the magnetic flux distribution is very difficult to be predicted without 3D Finite Element (FE) simulations. The simulations are performed with GetDP in 3D magnetostatics with the h-phi formulation.
The SMC machine prototypes made in our laboratory contain 100 sheets each. Modelling the whole SMC in 3D and taking into account the anisotropy of the material, the insulation and the interlaminar thicknesses would lead to non-acceptable computation times. For that reason, the model used is a reduced one, but it is representative for the phenomena that take place inside the structure. Thanks to the symmetry, in Z axis (Figure 1) the model contains: a complete sheet (segmented or not) in the middle, and two half-sheets on one side and the other. The insulation and the interlaminar thicknesses are taken into account by introducing a 5 μm air-gap between each lamination. Also our model considers the non-linearity (saturation and anisotropy) of the GO sheets. Anisotropy into the plane of the sheet is defined according to the RD and the Transverse Direction (TD). These magnetic characteristics were determined by the measurements on standardised Epstein frame. Also, the magnetic characteristics in the Normal Direction (ND) defined into the Z axis normal to the plane of the sheet is deduced by a specific test bench [4, 11].
4.2 Non-Segmented shifted structure
The results of the FE simulations for this configuration are presented in Figures 6 and 7. Is interesting to note the distribution of induction b into the plane of two superimposed sheets (Figure 6) and into the interlaminar air-gap between two laminations (Figure 7).

Distribution of b in the plane of the sheet for a) first sheet and b) second sheet

Distribution of b in the interlaminar air-gap
According to the shifting principle the angle between the RDs of two consecutive sheets is 90°. As foresaw, the magnetic flux prefers to use RD areas where the material grains are conveniently oriented (Figure 6, zones RD 1-6). When meeting the regions with a TD (zones TD 1-4) the magnetic flux passes through the air gap, leave the RD of the first lamination to reach the RD of the second lamination (Figure 7, zones ND1−3).
This phenomenon is similar to those been described in the literature [10] and can be explained as the magnetic flux prefers to follow the RD as long as possible in order to respect the principle of energy minimization.
4.3 Segmented shifted structure
In such configuration, the segments have the RD either in the direction of the stator yoke (Figure 8a) for the first sheet or in the direction of the teeth for the second sheet (Figure 8b). The FE simulation results, show that the induction is distributed mainly in the easy magnetization direction of the sheets (zone Z1, Z2), despite the presence of the magnetic flux in certain teeth (zone Z3). Saturation of well-oriented teeth in the second sheet (zone Z4) leads to a transition of the magnetic flux to the TD presented in the first sheet teeth (zone Z3). This phenomenon can cause more iron losses.

Distribution of b in the plane of the sheet for: a) first sheet and b) second sheet
However, compared to non-segmented shifted structure, the magnetic flux transition into the sheet is done in a "more homogeneous" way. The exception is in the joining zone of the two segments (zone Z5). The phenomena produced in these regions can explain the results obtained in terms of iron losses.
If we follow the field lines, a particular 3D distribution can be identified (Figure 9 zone Z6). Instead that the field lines pass from one segment to another into the same plane of the sheet, it prefers to enter into the sheet below (zone Z7), to continue into the hard magnetization direction and at the end, to enter into the adjacent segment.

Joining zone of the two segments. Distribution of b in: a) the plane of the sheet and b) the interlaminar air-gap
5 Magnetic behavior of SMC
For given
As the paths of the field lines are performed symmetrically with respect to the axis, it is deduced that the iron volume which is considerate in definition of iron losses is therefore more important for GO3590S, leading to increasing iron losses for this configuration. For GO3590, the iron losses at high magnetic flux density tend to decrease. This phenomenon is similar to [13].
Concerning this increase in iron loss, it is necessary to be more nuanced because this spread of the field lines inside the yoke lead to a reduction of the induction in the yoke. This helps to attenuate this increase in iron loss due to the higher iron volume used in the yoke. Regarding the magnetizing current, the formulated considerations for GO3590 structure show that there are 2 saturated areas for every non-segmented lamination corresponds to the hard magnetization direction.
For GO3590S it seems that is not the case. The ampere-turns consumed by iron are more important for the shifted structure so that for the same induction value in the air-gap GO3590 requires more magnetizing current compared to GO3590S.
As magnetizing current occurs largely in the stator current definition, results that for a given
6 Conclusion
The study presented in this paper concerns the use of segmented-shifted GO sheets in magnetic circuits of the high-efficiency motors. Understanding the phenomena that occur inside the prototype allows an improvement of the segmented-shifting principle. The experiments on real prototypes show that the ampere-turns consumed by iron are more important for the shifted structure. In the same time, due to the phenomena spent in joining zone of the segmented structure sheets, the paths of the field lines increased, leading to increasing of iron losses for the segmented configuration. Even so, the total losses are reduced thanks to the decreasing of stator Joule losses due to decreasing of the stator current.
Another problem to solve is the saturation of well-oriented teeth. This can be done by doubling the surface of the teeth, which means adding another lamination oriented in the same way. This will lead to a reduction of the level of the flux density in the teeth and, consequently, a reduction in iron losses which provides new perspectives for the application of GO steel for AC rotating electrical machines.
Acknowledgement
This work has been achieved within the framework of CE2I project (Convertisseur d’Energie Intgr Intelligent) and FAVI. CE2I is co-financed by European Union with the financial support of European Regional Development Fund (ERDF), French State and the French Region of Hauts-de-France. FAVI is a French company specialized in copper alloy pressure die-casting. This program is also supported by ThyssenKrupp Electrical Steel which provided us GO materials.
References
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© 2019 V. Mallard et al., published by De Gruyter
This work is licensed under the Creative Commons Attribution 4.0 International License.
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- Blinking Extraction in Eye gaze System for Stereoscopy Movies
- Optimization of screen-space directional occlusion algorithms
- Heuristic based real-time hybrid rendering with the use of rasterization and ray tracing method
- Review of muscle modelling methods from the point of view of motion biomechanics with particular emphasis on the shoulder
- The use of segmented-shifted grain-oriented sheets in magnetic circuits of small AC motors
- High Temperature Permanent Magnet Synchronous Machine Analysis of Thermal Field
- Inverse approach for concentrated winding surface permanent magnet synchronous machines noiseless design
- An enameled wire with a semi-conductive layer: A solution for a better distibution of the voltage stresses in motor windings
- High temperature machines: topologies and preliminary design
- Aging monitoring of electrical machines using winding high frequency equivalent circuits
- Design of inorganic coils for high temperature electrical machines
- A New Concept for Deeper Integration of Converters and Drives in Electrical Machines: Simulation and Experimental Investigations
- Special Issue on Energetic Materials and Processes
- Investigations into the mechanisms of electrohydrodynamic instability in free surface electrospinning
- Effect of Pressure Distribution on the Energy Dissipation of Lap Joints under Equal Pre-tension Force
- Research on microstructure and forming mechanism of TiC/1Cr12Ni3Mo2V composite based on laser solid forming
- Crystallization of Nano-TiO2 Films based on Glass Fiber Fabric Substrate and Its Impact on Catalytic Performance
- Effect of Adding Rare Earth Elements Er and Gd on the Corrosion Residual Strength of Magnesium Alloy
- Closed-die Forging Technology and Numerical Simulation of Aluminum Alloy Connecting Rod
- Numerical Simulation and Experimental Research on Material Parameters Solution and Shape Control of Sandwich Panels with Aluminum Honeycomb
- Research and Analysis of the Effect of Heat Treatment on Damping Properties of Ductile Iron
- Effect of austenitising heat treatment on microstructure and properties of a nitrogen bearing martensitic stainless steel
- Special Issue on Fundamental Physics of Thermal Transports and Energy Conversions
- Numerical simulation of welding distortions in large structures with a simplified engineering approach
- Investigation on the effect of electrode tip on formation of metal droplets and temperature profile in a vibrating electrode electroslag remelting process
- Effect of North Wall Materials on the Thermal Environment in Chinese Solar Greenhouse (Part A: Experimental Researches)
- Three-dimensional optimal design of a cooled turbine considering the coolant-requirement change
- Theoretical analysis of particle size re-distribution due to Ostwald ripening in the fuel cell catalyst layer
- Effect of phase change materials on heat dissipation of a multiple heat source system
- Wetting properties and performance of modified composite collectors in a membrane-based wet electrostatic precipitator
- Implementation of the Semi Empirical Kinetic Soot Model Within Chemistry Tabulation Framework for Efficient Emissions Predictions in Diesel Engines
- Comparison and analyses of two thermal performance evaluation models for a public building
- A Novel Evaluation Method For Particle Deposition Measurement
- Effect of the two-phase hybrid mode of effervescent atomizer on the atomization characteristics
- Erratum
- Integrability analysis of the partial differential equation describing the classical bond-pricing model of mathematical finance
- Erratum to: Energy converting layers for thin-film flexible photovoltaic structures