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Article

A Study on Enhancing Axial Flux Motor Efficiency Using Cladding Core Technology

by
Seung-Woo Park
1,
Ju-Hyeong Moon
1,
Dong-Woo Kang
1,* and
Khac-Huan Su
2
1
Department of Electronic and Electrical Engineering, Keimyung University, Daegu 42601, Republic of Korea
2
Department of Control and Automation Engineering, Eastern International University, Thu Dau Mot 820000, Vietnam
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(19), 2981; https://doi.org/10.3390/math12192981
Submission received: 23 August 2024 / Revised: 20 September 2024 / Accepted: 24 September 2024 / Published: 25 September 2024

Abstract

:
With the rise of eco-friendly policies, advanced motor technologies are being developed to replace fossil fuel-based engines in the mobility industry. Axial flux motors, known for their ability to reduce size and increase output torque compared to radial flux motors, require different materials and manufacturing techniques. Specifically, the production of complex stator cores and segmented magnets presents significant challenges, often leading to higher costs. To address this issue, soft magnetic composite (SMC) materials, which offer greater design flexibility, are being explored for use in stator cores. However, soft magnetic composite materials exhibit lower permeability and saturation flux density compared to laminated silicon steel, resulting in reduced output torque and efficiency. This paper investigates the effects of stator geometry on axial flux motor performance and explores cladding core technology, which combines soft magnetic composite materials with silicon steel. By conducting finite element method (FEM) analysis to evaluate the output torque and efficiency based on the shape of the silicon steel within the cladding core, this study proposes an optimized cladding core design to enhance the efficiency and output torque of axial flux motors.

1. Introduction

With global attention to carbon neutrality policies and the accelerated transition from internal combustion engines to electric and hydrogen-powered systems, interest in motor technologies has been growing. In particular, axial flux motors are gaining attention because they can reduce size while maximizing the power transmitted through the rotor shaft, compared to radial flux motors [1]. Radial flux motors, at the current level of technology, face limitations in improving output torque within confined spaces. To overcome these limitations, axial flux motors with higher air gap flux per unit cross-sectional area have been developed [2]. Both axial flux motors and radial flux motors can be miniaturized using permanent magnets, but axial flux motors, in particular, can efficiently reduce the axial length of the rotor and stator. This results in a high power density and an excellent power-to-weight ratio, which are key characteristics of axial flux motors [3,4,5,6]. To reduce eddy current losses in the core, lamination is designed by considering the direction of flux entering the stator through the air gap. However, unlike the simpler process of laminating identical shapes of electrical steel in radial flux motors, axial flux motors require more complex and precise manufacturing techniques, as laminations of different lengths must be used [7]. As electrical steel has low formability, the core shape is limited when manufacturing axial flux motor cores. Research is being conducted to improve torque density by applying soft magnetic composite materials to the core, and these materials are being actively applied not only to conventional PM-type motors but also to induction motors, spherical motors with complex geometries, and claw pole-type motors [8,9,10,11]. Soft magnetic composite materials have lower permeability and saturation flux density compared to electrical steel when subjected to the same external magnetic field [12]. When electrical steel is used in the core of an axial flux motor, high output torque can be achieved even with a relatively low external magnetic field. However, due to the low formability of electrical steel, the core must be designed in a simple shape, which limits shape optimization. On the other hand, using soft magnetic composite materials to fabricate the stator core offers greater design flexibility, but the lower permeability and saturation flux density limit the ability to achieve high output torque [13,14]. Research has been conducted to maximize the advantages of both materials. A study on a permanent magnet claw-pole motor with a double-stator structure utilized both soft magnetic composite and electrical steel. The stator yoke was constructed from electrical steel, while the soft magnetic composite was applied to the claw-pole stator teeth, and the performance of various rotor structures and hybrid core designs was compared [15]. In another study, a soft magnetic composite was applied to the stator teeth and shoe in a claw-pole transverse-flux machine. Based on this configuration, the characteristics of a model using a newly developed SL–soft magnetic composite material were compared and analyzed against those of a model using a conventional soft magnetic composite [16]. Lastly, another study focused on optimizing rotor permanent magnets to reduce torque ripple while simultaneously utilizing both soft magnetic composite and electrical steel in the stator core design. By adjusting the rotor arc width ratio, the study aimed to effectively minimize torque ripple [17]. This paper proposes a structure that maximizes the advantages of both materials by applying a soft magnetic composite to areas of the stator requiring design flexibility and electrical steel to the central region of the stator core while maintaining the same shape and size of the permanent magnets. Through this approach, we propose a cladding core structure that effectively leverages the properties of both materials, resulting in higher torque at low speeds compared to using only soft magnetic composite material, by performing a finite element method (FEM) analysis.

2. Materials and Methods

Axial flux motors generate torque in the same manner as conventional synchronous motors, where multi-phase current is applied to the windings placed in the stator, and torque is generated through interaction with the magnetic flux from the field magnet. In radial flux motors, the area of the air gap where current and magnetic flux interact is defined by both the rotor radius and the motor length, whereas in axial flux motors, the air gap area is defined solely by the rotor radius. The rotational force generated in an axial flux motor can be expressed by Lorentz’s force law, as shown in (1) [18].
I is the applied current, B a i r g a p is the air gap flux density, and A r is a sheet of uniform surface current density, where I d r = A r d S , d r is the radial distance at the sheet of uniform surface current density, d S is the surface component, and B a i r g a p is the vector of the normal component of the magnetic flux density in the air gap. An axial flux-type motor provides a B a i r g a p value that is practically independent of the radius component. The tangential force acting on the core can be calculated using the Ampere’s equation.
d F = I d r × B a i r g a p = A ( r ) ( d S × B a i r g a p )
A sheet of uniform surface current density is also a function of the radius, so the max value of the line current density is determined using (2). The number of the phase is m , the number of poles is p , the number of turns is N , and the pole pitch is τ ( r ) and expressed as π r / p .
A r = m 2 N I p τ ( r ) = m 2 N I π r
To account for the shape of the air gap, the air gap flux density factor ( α k ) can be incorporated, as shown in (3). The air gap flux density factor ( α k ) is defined as the ratio of the average air gap flux density ( B a v g ) and the max air gap flux density ( B m a x ) .
α k = B a v g B m a x
The magnitude of the resulting torque is given by (4), where k ω represents the winding factor. Assuming the magnetic flux density meets the current perpendicularly, they are considered independently in the calculation. The B a i r g a p value is expressed as α k B m a x , and the motor has a circular shape d S , expressed as 2 π r d r .
d T = r d F = r k ω A r B a i r   g a p d S = 2 π α k B m a x A r k ω r 2 d r = 2 α k B m a x m I N k ω r d r
Equation (5) can be derived by integrating (4) over the range from the inner radius of the motor ( D i n / 2 ) to the outer radius of the motor ( D o u t / 2 ) because the actual diameter of an AFPM motor is determined by the difference between the outer and inner diameters.
T = D i n / 2 D o u t / 2 2 α k B m a x m I N k ω r d r
This is expressed as (6).
T = 1 4 α k m I N k ω B m a x ( D o u t 2 D i n 2 )
By using the ratio of the inner to outer radius ( k d = D i n / D o u t ), it can be expressed as (7).
T = 1 4 α k m N k ω B m a x D o u t 2 ( 1 k d 2 ) I
The output torque of an axial flux motor is determined by the motor’s diameter, flux density, number of turns, current, and number of phases. In particular, the motor’s outer diameter and the difference between the outer and inner diameters ( k d ) have a significant impact on the torque, and as the flux density and current increase, the torque also increases.
Additionally, the armature flux density ( B F . M ) and the field flux density ( B A ) are defined. As shown in (8), the air gap flux density consists of the saturation flux density of both the field magnet and the armature.
B a v g = B F . M + B A
ϕ F . M is defined as the armature flux, A F . M is the armature core area, R F . M is the armature core reluctance, l F . M is the armature core length, and μ F . M is the permeability of the core. The armature flux, as expressed in (9), is represented as the flux density over the area through which the flux passes.
B F . M = ϕ F . M A F . M
As shown in (10), it can be observed that the core permeability and saturation flux density values contribute significantly.
ϕ F . M = B F . M   l F . M μ F . M   R F . m
Unlike radial flux motors, which laminate electrical steel of identical shapes in the axial direction, as shown in Figure 1a, axial flux motors laminate electrical steel with non-uniform shapes in the radial direction, as illustrated in Figure 1b. Additionally, altering the shape of the stator core to reduce torque ripple or improve efficiency can be extremely challenging, or even impossible, due to the complex lamination manufacturing techniques required. To overcome these manufacturing limitations, extensive research has been conducted on using soft magnetic composite materials, which have high formability, for stator cores, as shown in Figure 1c [19]. Soft magnetic composite materials are designed to suppress eddy current generation by combining thermosetting resins that inhibit electron movement with materials of low electrical conductivity [20]. This material works by coating the surface of iron powder particles with a thin insulating layer, which blocks potential conductive paths within the matrix and creates insulation barriers between layers, preventing the easy formation of eddy current loops. Due to these material properties, soft magnetic composite materials offer high formability, enabling the production of complex core shapes [21]. Additionally, the powder-based composition of soft magnetic composite materials helps reduce eddy current losses at high speeds, as the penetration depth decreases due to the skin effect. However, cores made from soft magnetic composites have randomly aligned particles and contain pores, unlike electrical steel, which increases electrical resistance and makes it difficult for current to follow a consistent path. As a result, the current flow within the core is disrupted, leading to higher eddy currents at low speeds [22,23]. Furthermore, during the powder compaction process used to manufacture the core, the material’s inherent properties can cause core breakage. Despite its high stiffness, the material has relatively low strength, necessitating precise manufacturing techniques [24,25].
Figure 2 shows the structure of the axial flux motor used in this study. The motor consists of a stator, a rotor, permanent magnets, and coils, with the flux generated by the rotor moving parallel to the rotation axis [26]. Due to this flux flow, axial flux motors generally have an unstable structure that creates attractive forces between the stator and the rotor, which can lead to an uneven air gap formation [27]. To reduce the magnetic imbalance between the stator and the rotor, a structure with two rotors and one stator was used. Table 1 presents the specifications of the baseline model. To minimize vibration and noise, a 16-pole, 18-slot configuration was adopted [28,29,30]. The outer and inner diameters of the motor were set to 200 [mm] and 150 [mm], respectively, with a stack length of 64.8 [mm]. Additionally, to ensure accurate comparison, the number of turns and current were kept identical. Since soft magnetic composite materials are manufactured through powder compaction, they require careful handling to avoid external impact. Therefore, a soft magnetic composite material (Hoganas 500 1P, 600 MPa) with tensile stress and strength similar to electrical steel (27PNX1350F) was selected.
Figure 3 presents the speed–torque performance comparison data when silicon steel and soft magnetic composite materials were applied as the stator core in an axial flux motor. When the same current was applied, the model with electrical steel as the stator core generated 75.09 [Nm] of torque and 14.36 [W] of iron loss at 800 [r/min]. At the maximum speed of 1600 [r/min], it produced 36.32 [Nm] of torque and 33.83 [W] of iron loss. On the other hand, when soft magnetic composite material was used as the stator core, it generated 68.49 [Nm] of torque and 52.28 [W] of iron loss at 800 [r/min], and 33.34 [Nm] of torque and 114.61 [W] of iron loss at 1600 [r/min]. As observed from the analyzed output torque and loss comparison data, applying silicon steel resulted in higher torque and lower iron loss compared to using a soft magnetic composite. This indicates that silicon steel can offer higher efficiency.
As shown in Figure 4, when the same external magnetic field was applied, the soft magnetic composite material (Hoganas 500, 1P, 600 MPa) had lower flux density and permeability compared to electrical steel (27PNX1350F). Additionally, due to its material properties, it exhibited relatively higher iron loss at lower frequencies. For these reasons, electrical steel is generally used as the core material for motor stators, enabling superior output torque. As previously mentioned, various manufacturing methods have been developed to apply electrical steel, with its excellent magnetic properties, to the stator of axial flux motors, including tightly folding the steel in strip form or producing it in a roll form. However, these manufacturing methods are limited in their ability to accommodate detailed shape designs aimed at reducing torque ripple, and they also have drawbacks in terms of manufacturing quality, such as tearing at the corners of the stator core. This paper proposes a cladding core technology that maximizes the utilization of flux crossing the air gap to increase output torque. In this approach, the outer part of the stator core, which has a complex and irregular shape, uses a soft magnetic composite material with high formability, while the central part of the stator core employs laminated electrical steel with a symmetrical shape that is easier to manufacture.

3. Performance Analysis of AFPM with Cladding Core

When applying electrical steel, which has limited formability, the stator core may be designed with an I-type core, as shown in Figure 5a, rather than the Fan-type core in Figure 5b. However, as seen in Figure 6, this design results in lower performance compared to a model that uses a Fan-type core, which better maximizes the flux crossing the air gap. Therefore, the stator core should use a Fan-type core that can fully utilize the air gap flux.
ϕ E . S represents the flux in the electrical steel, and ϕ s m c represents the flux in the soft magnetic composite material. When applying the cladding core proposed in this paper, ϕ F . M is expressed as the sum of the flux in the electrical steel and the flux in the soft magnetic composite, as shown in (11).
ϕ F . M = ϕ E . S + ϕ s m c
B E . S is the flux density of the electrical steel, μ E . S represents the permeability of the electrical steel, R E . S is the reluctance of the electrical steel, and l E . S is the length of electrical steel. Similarly, B s m c is the flux density of the soft magnetic composite, μ s m c represents the permeability of the soft magnetic composite, R s m c is the reluctance of the soft magnetic composite, and l s m c is the soft magnetic composite. As shown in (12), by using two different materials, the flux in each material is determined in proportion to the flux density and the length of the electric steel and soft magnetic composite, and it varies inversely with the permeability and flux reluctance of each material.
ϕ F . M = B E . S   l E . S μ E . S   R E . S + B s m c   l s m c μ s m c   R s m c
This affects the average flux density in (8), ultimately leading to changes in torque. Figure 7 shows the flux density saturation under the same size, number of turns, and load conditions as in Table 1. Figure 7a illustrates the flux density saturation in a core with a single soft magnetic composite material, while Figure 7b shows the flux density saturation in a core with cladding. Electrical steel has a higher permeability than soft magnetic composite material, allowing it to concentrate flux more efficiently, resulting in relatively lower leakage flux. Therefore, as seen in Figure 7, more flux flows through the high-permeability electrical steel. As shown in Figure 7b, even when the outer part of the electrical steel becomes saturated, the surrounding soft magnetic composite material helps minimize leakage, allowing the flux to continue flowing through the outer region of the core.
Additionally, Figure 8 shows a per-unit (P.U.) graph of the armature flux density and iron losses based on the proportion of electrical steel and the soft magnetic composite material used in the cladding core. The flux density is determined based on the maximum saturation flux density of the soft magnetic composite material and electrical steel. The maximum iron loss value at the base speed of 200 [Hz] was also considered. As the proportion of electrical steel approaches 1, the armature flux density increases, resulting in higher torque and minimal iron losses. Conversely, as the proportion of the soft magnetic composite material approaches 1, the armature flux density decreases, leading to lower torque and maximum iron losses.
P l o s s is the total core iron loss, P h y s is the total hysteresis loss, P e d d y is the total eddy current loss, and P e x c is the total excess loss. As shown in (13), P l o s s consists of hysteresis loss, eddy current loss, and excess loss.
P l o s s = P h y s + P e d d y + P e x c
η E . S is the hysteresis constant of the electrical steel, f is the frequency, and η s m c is the hysteresis constant of the soft magnetic composite. As shown in (14), P h y s expressed as the sum of the hysteresis loss of electrical steel and the soft magnetic composite. The hysteresis loss in the electrical steel is expressed as η E . S f B E . S 2 and is proportional to the square of the flux density. Additionally, the hysteresis loss in the soft magnetic composite is represented by η s m c f B s m c 1.75 and is proportional to the 1.75th power of the flux density.
P h y s = η E . S f B E . S 2 + η s m c f B s m c 1.75
k e , E . S is the eddy current loss coefficient of the electrical steel, ρ E . S is the electrical resistivity of the electrical steel, k e , s m c is the eddy current loss coefficient of the soft magnetic composite, and ρ s m c is the electrical resistivity of the soft magnetic composite. As shown in (15), P e d d y is expressed as the sum of the eddy current loss of electrical steel and the soft magnetic composite. The eddy current loss in electrical steel is determined by k e , E . S , B E . S , f , and ρ E . S , and it is proportional to the square of f and B E . S while inversely proportional to the electrical resistivity. Similarly, the eddy current loss in the soft magnetic composite is influenced by k e , s m c , B s m c , f , and ρ s m c .
P e d d y = k e , E . S f 2 B E . S 2 ρ E . S + k e , s m c f 2 B s m c 2 ρ s m c
P e x c , E . S is the excess loss in the electrical steel, and P e x c , s m c is the excess loss in the soft magnetic composite. As shown (16), P e x c refers to additional energy losses that cannot be explained by hysteresis loss or eddy current loss. It can be expressed as the sum of P e x c , E . S and P e x c , s m c .
P e x c = P e x c , E . S + P e x c , s m c
Since the cladding core uses both electrical steel and soft magnetic composite material simultaneously, it results in lower iron losses at low speeds compared to axial flux motors that use a single soft magnetic composite. In other words, by utilizing the properties of both electrical steel and a soft magnetic composite to increase the flux density across the entire stator core, this structure provides the advantage of increased output torque while reducing iron losses. Therefore, it is necessary to analyze the effect by minimizing the number of layers of electrical steel plates inserted into the center of the core.
In this study, to investigate the minimal multilayer structure, the output torque was analyzed by applying I-type and T-type stator core structures. Additionally, since the thickness of the electrical steel inserted in the core’s center cannot be increased indefinitely, the soft magnetic composite material applied to the outer part of the core must not be too thin, as this could lead to core saturation and flux leakage. To prevent this, the thickness of the soft magnetic composite material was set to 1 [mm].
Figure 9 illustrates the I-type stator core structure. The design variables for the I-type stator core include the width ( W I ) and thickness ( T I ) of the electrical steel, and these were selected for analysis. Additionally, if the outer thickness of the core with the applied soft magnetic composite material becomes oversaturated, flux leakage occurs, leading to a reduction in torque. As shown in Figure 10, when T I varied from 2 [mm] to 8 [mm], the torque increased from 62.51 [Nm] to 70.41 [Nm], representing a 12.63 [%] increase, and the iron losses decreased from 44.06 [W] to 27.6 [W], representing a 37.35 [%] reduction. Figure 11 shows the results of the analysis of the characteristics with varying W i d t h I . Based on the previously analyzed optimal T I length of 8 [mm], W I varied from 5 [mm] to 30 [mm]. The torque increased from 65.21 [Nm] to 69 [Nm], showing a 9.5 [%] increase, and the iron losses decreased from 50.01 [W] to 46.07 [W], representing a 9.48 [%] reduction. This analysis shows that, for the I-type stator, changes in the thickness of the electrical steel inserted into the core’s center have a greater impact on torque than changes in width. Additionally, it was observed that increasing the amount of electrical steel reduced iron losses. Therefore, when the I-type stator cladding core structure had a T I of 8 [mm] and a W I of 30 [mm], the torque increased by 3.23 [%] to 70.41 [Nm], and iron losses decreased by 45.94 [%] to 27.6 [W] compared to a motor using a single soft magnetic composite material in an axial flux configuration, improving the overall characteristics.
Next, to examine the minimal multilayer cladding core structure, a T-type structure was proposed and analyzed, as shown in Figure 12. Although it is possible to set a larger number of stages, we limited it to a simple structure, centrally laminated electrical steel output torque comparison model, which is an advantage of cladding core technology. To analyze the characteristics of the T-type two-layer cladding core structure with a central laminated electrical steel core, the optimized design value of T T 1 = 8 [mm] from the previous I-type cladding core study was selected. To implement the two-layer structure, the design variables W T 1 , W T 2 , and T T 2 were adjusted, and the lengths were modified within the range that maximized the utilization of the cladding core. The Fan-type core had a structure that narrowed toward the center and gradually widened toward the outer region. As shown in Table 2, as W T 2 increased, T T 2 decreased, based on the same outer thickness of the core. These were categorized into different cases, and Figure 13 shows the results for each case. The torque increased by 4.09 [%], from 71.47 [Nm] to 74.39 [Nm], while the iron losses decreased by 6.88 [%], from 25.47 [W] to 23.71 [W]. This indicates that as the area of the electrical steel used increases, the torque increases, and the iron losses decrease. As a result, in Case 2, where T T 1 and W T 1 were 8 [mm] and 16 [mm], and T T 2 and W T 2 were 16 [mm] and 14 [mm], respectively, the torque increased by 8.61 [%] to 74.39 [Nm], and the iron losses decreased by 54.65 [%] to 23.71 [W] compared to when a single soft magnetic composite core was applied in an axial flux motor.
Figure 14 shows the efficiency map of an axial flux motor with a core made of soft magnetic composite material, while Figure 15 and Figure 16 present the efficiency maps for I-type and T-type cladding cores. When the cladding core was applied, it was observed that iron losses decreased, and torque increased in the low-speed region compared to the motor with a single soft magnetic composite core. As a result, it was observed that the area with 90% efficiency was larger compared to when a single soft magnetic composite material was applied to the core. Figure 17 shows the magnetic flux density vector for the core with a single soft magnetic composite and for the cladding core (I-type and T-type). It can be observed that flux is concentrated in the center of the cladding core, specifically in the central region where electrical steel is applied. Under the same load conditions, the fact that more flux is concentrated in the cladding core indicates that the proportion of flux leakage into the air gap from the soft magnetic composite material applied to the outer part of the core is reduced, with more flux being directed into the central region where the electrical steel is applied. This suggests that flux leakage is reduced compared to a core using a single soft magnetic composite material. Therefore, the cladding core structure more effectively reduces flux leakage compared to the structure using only soft magnetic composite material. Finally, Figure 18 and Table 3 show the characteristics of models using a single electrical steel core, a single soft magnetic composite core, and a cladding core. When the cladding core is applied under the same size and load conditions, the flux is concentrated in the center of the core, resulting in increased torque compared to the core using a single soft magnetic composite material. Additionally, the flux density is more evenly distributed between the center and outer regions of the core, reducing torque ripple. The axial flux motor with the I-type cladding core generated approximately 3.23 [%] more torque than the motor with a single soft magnetic composite core, producing 70.41 [Nm] of torque and achieving an efficiency of 94.04 [%], representing an improvement of 1.44 [%]. The magnetic field distribution between the stator and rotor becomes more uniform, reducing torque ripple by 2.18 [%] to a final value of 2.88 [%]. Furthermore, the axial flux motor with the T-type cladding core generated 8.61 [%] more torque, producing 74.39 [Nm] of torque, with an efficiency improvement of 3.5 [%] to reach 96.1 [%], and torque ripple was reduced by 2.79 [%], achieving a value of 2.27 [%]. In conclusion, based on the findings described above, the application of the cladding core shows a tendency to increase output torque. Furthermore, it demonstrates advantages such as reduced torque ripple and overall improved efficiency across the operating range.

4. Conclusions

As a solution to enhance the output torque of axial flux motors using a single soft magnetic composite material, this paper proposes a cladding core structure, by performing finite element method (FEM) analysis. When soft magnetic composite materials with high formability are applied to axial flux motors, the flux density generated under the same external magnetic field is lower compared to electrical steel due to the material’s properties, resulting in lower output performance. To solve this issue, this paper proposes a structure that reduces flux leakage from the outer part of the stator core to the air gap and concentrates the flux toward the center of the stator core, thereby increasing the overall flux density and boosting output torque. This structure applies soft magnetic composite material to the irregularly shaped, asymmetrical outer part of the stator, while the regular, symmetrical center of the stator core is formed with electrical steel, creating a cladding core structure. As a result, the flux was evenly distributed throughout the stator core, leading to increased output torque and reduced torque ripple. Additionally, while soft magnetic composite materials tend to generate high iron losses at low speeds, the application of the cladding core reduced the amount of soft magnetic composite material used, thereby decreasing iron losses and improving efficiency. Therefore, to enhance the output torque of axial flux motors using soft magnetic composite materials, it would be appropriate to apply the T-type cladding core structure proposed in this paper. However, further research is needed on the manufacturing and mechanical design of axial flux motors for high-speed operation. To apply the cladding core proposed in this paper to high-speed applications, additional studies on material properties and manufacturing techniques will be necessary.

Author Contributions

Conceptualization, S.W-P.; methodology, S.-W.P. and J.-H.M.; software, S.-W.P. and J.-H.M.; validation, S.-W.P.; formal analysis S.-W.P. and J.-H.M.; investigation, S.-W.P.; resources, S.-W.P.; data curation, S.-W.P. and J.-H.M.; writing—original draft preparation, S.-W.P.; writing—review and editing, S.-W.P., J.-H.M., D.-W.K. and K.-H.S.; visualization, S.-W.P.; supervision, D.-W.K.; project administration, D.-W.K.; funding acquisition, D.-W.K. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

The original contributions presented in the study are included in the article.

Acknowledgments

The authors would like to thank the technical support from Ansys Korea.

Conflicts of Interest

The authors declare no conflicts of interest.

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Figure 1. Lamination direction depending on motor: (a) radial flux motor lamination with Si steel; (b) axial flux motor lamination with Si steel; (c) axial flux motor lamination with soft magnetic composite.
Figure 1. Lamination direction depending on motor: (a) radial flux motor lamination with Si steel; (b) axial flux motor lamination with Si steel; (c) axial flux motor lamination with soft magnetic composite.
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Figure 2. Structure of AFM.
Figure 2. Structure of AFM.
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Figure 3. Characteristic curves for each material.
Figure 3. Characteristic curves for each material.
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Figure 4. Characteristic curves for each of the materials.
Figure 4. Characteristic curves for each of the materials.
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Figure 5. AFM core structure: (a) I-type core; (b) Fan-type core.
Figure 5. AFM core structure: (a) I-type core; (b) Fan-type core.
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Figure 6. Characteristic curves for each core type.
Figure 6. Characteristic curves for each core type.
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Figure 7. Magnetic flux density saturation of the core: (a) single soft magnet composite core; (b) cladding core (I-type).
Figure 7. Magnetic flux density saturation of the core: (a) single soft magnet composite core; (b) cladding core (I-type).
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Figure 8. Comparison of the magnetic flux density and core loss according to the proportion of material; as this proportion approaches 1, the armature flux density decreases, leading to lower torque and maximum iron losses.
Figure 8. Comparison of the magnetic flux density and core loss according to the proportion of material; as this proportion approaches 1, the armature flux density decreases, leading to lower torque and maximum iron losses.
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Figure 9. Cladding core (I-type) structure.
Figure 9. Cladding core (I-type) structure.
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Figure 10. Characteristics according to the T I of cladding core (I-type).
Figure 10. Characteristics according to the T I of cladding core (I-type).
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Figure 11. Characteristics according to the W I of cladding core (I-type).
Figure 11. Characteristics according to the W I of cladding core (I-type).
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Figure 12. Cladding core (T-type) structure.
Figure 12. Cladding core (T-type) structure.
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Figure 13. Characteristics according to the case of cladding core (T-type).
Figure 13. Characteristics according to the case of cladding core (T-type).
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Figure 14. Efficiency map of the single soft magnetic composite core.
Figure 14. Efficiency map of the single soft magnetic composite core.
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Figure 15. Efficiency map of cladding core (I-type).
Figure 15. Efficiency map of cladding core (I-type).
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Figure 16. Efficiency map of cladding core (T-type).
Figure 16. Efficiency map of cladding core (T-type).
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Figure 17. Magnetic flux density vector of the core: (a) single soft magnet composite core; (b) cladding core (I-type); (c) cladding core (T-type).
Figure 17. Magnetic flux density vector of the core: (a) single soft magnet composite core; (b) cladding core (I-type); (c) cladding core (T-type).
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Figure 18. Comparative analysis of characteristics of the proposed model.
Figure 18. Comparative analysis of characteristics of the proposed model.
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Table 1. Axial flux-type motor model specifications.
Table 1. Axial flux-type motor model specifications.
ParameterUnitSingle
Soft Magnetic Composite Core
Single
Electrical Steel Core
Pole/Slot-16/1816/18
Outer/Inner diametermm200/125200/125
Axial Lengthmm64.864.8
Input CurrentArms24.324.3
Turns-4949
Material-Hoganas 500 1P, 600 MPa27PNX1350F
Table 2. The cladding core (T-type)’s case for analysis.
Table 2. The cladding core (T-type)’s case for analysis.
Case W T 1 [mm] W T 2 [mm] T T 1 [mm] T T 2 [mm]
12010817
21614816
31218814
4822813
5426811
Table 3. Comparison of specifications for single soft magnetic composite core model and cladding core model.
Table 3. Comparison of specifications for single soft magnetic composite core model and cladding core model.
ParameterUnitSingle
Soft Magnetic Composite Core
Cladding Core
(I-Type)
Cladding Core
(T-Type)
Outer/Inner diametermm200/125200/125200/125
Axial Lengthmm64.864.864.8
Input CurrentArms24.324.324.3
Turns-494949
Material-27PNX1350F27PNX1350F
Hoganas 500 1P, 600 MPa
27PNX1350F
Hoganas 500 1P, 600 MPa
TorqueNm68.2170.4174.39
Torque Ripple%5.062.882.27
Efficiency%92.694.0496.1
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Park, S.-W.; Moon, J.-H.; Kang, D.-W.; Su, K.-H. A Study on Enhancing Axial Flux Motor Efficiency Using Cladding Core Technology. Mathematics 2024, 12, 2981. https://doi.org/10.3390/math12192981

AMA Style

Park S-W, Moon J-H, Kang D-W, Su K-H. A Study on Enhancing Axial Flux Motor Efficiency Using Cladding Core Technology. Mathematics. 2024; 12(19):2981. https://doi.org/10.3390/math12192981

Chicago/Turabian Style

Park, Seung-Woo, Ju-Hyeong Moon, Dong-Woo Kang, and Khac-Huan Su. 2024. "A Study on Enhancing Axial Flux Motor Efficiency Using Cladding Core Technology" Mathematics 12, no. 19: 2981. https://doi.org/10.3390/math12192981

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