1. Introduction
To effectively drive airflow within the duct, the duct fan must maintain a constant static pressure during operation. Accordingly, the motor must be capable of delivering sufficient rated torque. Moreover, due to installation space constraints, the duct fan motor requires a compact form factor in the axial direction [
1]. Vibrations generated during fan rotation are transmitted through the motor and increase the fluid resistance experienced by the fan blades. Therefore, low-vibration characteristics that minimize such effects are essential. The AFPM, with its large rotor diameter and short axial length, is well-suited to deliver high torque, making it an appropriate choice for duct fan applications [
2,
3].
AFPM can be classified into core type and coreless type. In core-type AFPM, design strategies such as laminated structures are required to minimize eddy current paths generated in the stator core. However, the stator core typically features complex shapes such as teeth and shoes, making it difficult to manufacture using rolled electrical steel sheets or laminations, as commonly done in RFPM. To address these challenges, research is being conducted using materials such as amorphous alloy sheet and soft magnetic composite (SMC). Specifically, amorphous alloy sheet can be formed into rolls, then cut or punched and re-rolled to create an effective laminated structure for reducing eddy current losses. However, when applied to an AFPM, the use of amorphous alloy sheet becomes disadvantageous for mass production due to interlayer alignment issues that worsen with increasing outer diameter and high mechanical forming complexity. SMC is fabricated by press-molding insulated magnetic powder, offering ease of manufacturing and excellent high-frequency core loss characteristics. Nevertheless, for motors operating in relatively low-speed regions, SMC exhibits inferior magnetic properties and mechanical strength compared to electrical steel. Additionally, the insulation coating on the powder particles can be damaged during the pressing process [
4]. Furthermore, core-type AFPM requires sufficient axial length to accommodate windings on the stator core, limiting axial compactness. The use of complex geometries such as teeth, shoes, and slot openings also causes magnetic reluctance variation, leading to vibration issues due to cogging torque.
The coreless type AFPM, which does not include a stator core, offers the advantage of significantly lower cogging torque, resulting in superior vibration characteristics. However, it presents limitations in winding implementation, and active research is ongoing to address this challenge [
5,
6]. A coreless type AFPM utilizing a PCB stator eliminates the need for separate coil-winding machinery, as the winding process is integrated into standard PCB fabrication steps. This drastically reduces the production takt time relative to core-type AFPM, making the design well suited to high-volume manufacturing; moreover, it is well established that PCB-stator fabrication is significantly faster than conventional coil-winding processes [
7]. Additionally, while the thickness of a PCB substrate varies depending on its oz rating, a 6-layer board with a 2 oz specification typically achieves a thickness of approximately 1 mm, thereby minimizing the magnetic air gap.
Figure 1 illustrates the stator structures and cross-sectional views of a core-type AFPM stator and a PCB stator for a coreless-type AFPM.
Active research is underway on PCB stator motors, focusing on various aspects inherent to the coreless motor structure. These include studies on AC loss caused by the time-varying flux linkage directly interacting with the windings [
8,
9], designs utilizing Halbach magnets to reduce leakage flux and enhance air-gap flux density [
10,
11], coil pattern optimization with slit structures for AC loss reduction [
12], thermal design investigations considering PCB vias and pads [
13], and comparisons between PCB-stator and laminated-core-stator axial flux permanent magnet motors [
14]. When the rotor of a coreless motor rotates, eddy currents are induced in the conductive windings due to the time-varying magnetic flux generated by the permanent magnets. This is one of the major sources of loss in a coreless motor. In a conventional AFPM with a stator core, most of the magnetic flux follows the high-permeability core path, resulting in minimal flux passing directly through the windings. In contrast, a coreless motor has a stator with permeability similar to that of air, allowing more flux from the magnets to flow directly through the windings. This leads to additional AC losses caused by the skin effect and proximity effect. The aforementioned AC loss refers to the loss occurring in the stator winding. Although AC losses in the permanent magnets should ideally be considered, they are neglected in this study due to the use of ferrite magnets, which have relatively low electrical conductivity and therefore exhibit negligible eddy current losses. In addition, since the study focuses on a small-scale AFPM, rotor core iron losses are also considered negligible.
Therefore, it is essential to identify methods for reducing AC loss in PCB stator AFPM. Since AC loss primarily arises from the skin and proximity effects, it can be mitigated through modeling based on finite element analysis and trend analysis of these effects induced by external magnetic fields.
Figure 2 illustrates the magnetic flux linkage between the magnets and the stator in both core-type and coreless-type AFPM.
In addition, various studies have been conducted on AFPM configurations that utilize multi-stator structures. For example, research has been conducted on high-speed axial flux induction motors employing dual-stator structures [
15], comparative analyses between core-type and coreless type configurations in dual-stator single-rotor AFPM [
16], and comparative study on novel dual stator radial flux and axial flux permanent magnet motors [
17]. However, when a multi-stator structure is applied to a conventional core type AFPM, additional winding processes are required, resulting in increased takt time. Moreover, sufficient axial length for teeth is necessary to accommodate the windings. In contrast, a PCB stator can be reused with identical boards, which significantly reduces production time when implementing various topologies such as multi-stator configurations compared to the core type AFPM. In addition, the PCB stator offers high design flexibility, allowing various topologies to be implemented by simply changing its placement depending on the desired configuration. A PCB stator motor can be categorized into different topologies based on the magnetization pattern of the rotor and the arrangement of the stator and rotor. As examples, the stator can be arranged as a single module composed of four 6-layer PCB stator units connected in series, or as two separate modules, each consisting of two 6-layer PCB stator units connected in series. The most representative examples are the single stator–single rotor type and the single stator–double rotor type [
7,
18,
19]. In the single stator–single rotor type, the PCB stator is attached to the stator yoke, and the rotor is placed on one side, forming a single-sided air gap. This structure minimizes the air gap length, which most significantly affects electromagnetic performance, and enables heat dissipation through contact between the stator back yoke and the housing. However, since only one magnetic source is present, phase back-EMF imbalance may occur. The single stator–double rotor structure is the most commonly utilized configuration. It does not require a stator back yoke, and the presence of magnetic sources on both sides results in minimal phase back-EMF imbalance. In PCB stator AFPM, relatively simple methods such as increasing the magnet thickness or connecting multiple PCB stators in series to increase the total number of series turns can be used to improve performance within a limited outer diameter. While these approaches are effective for initial performance enhancement, stacking multiple PCB layers increases the magnetic air gap, which may degrade electromagnetic performance. Additionally, when the magnet thickness exceeds a certain threshold, performance improvement no longer scales linearly due to magnetic flux saturation. Accordingly, this study investigates a topology design approach for enhancing performance by adjusting the arrangement of the rotor and PCB substrate. The most widely used single stator–double rotor structure was selected as the reference model, and the electromagnetic performance of different topologies was analyzed based on the same number of PCB stators and the same amount of magnets. The structure of this paper is as follows: (1) analysis of performance variation according to pole-slot combinations in the single stator–double rotor type PCB stator AFPM based on conventional motor design specifications; (2) selection of pattern end-turn parameters and design of a linear conductor structure for AC loss reduction based on the selected pole-slot combination; and (3) design of several PCB stator AFPM topologies using the same PCB stator as the reference model, with no-load back-EMF and load torque, and loss analysis to determine the optimal model. The proposed models and design process were validated using finite element analysis (FEA).
2. Selection of the Baseline Model
Table 1 presents the design specifications for a conventional duct fan motor system. The target rotational speed is 3350 rpm, and a rated torque of 0.48 Nm is required. Under constant speed conditions, torque is the primary factor determining motor output. Equation (1) expresses the torque of an AFPM in terms of motor size and magnetic flux density. Equation (2) expresses the torque of an AFPM in terms of motor size and magnetic flux density. Commonly in both equations,
denotes the winding factor,
represents the average air-gap flux density, and
refers to the specific electric loading, defined as the total electric loading divided by the air-gap circumference. Here, the total electric loading is expressed as the product of the equivalent series turns and the armature current. In Equation (1),
represents the air-gap diameter, while in Equation (2),
indicates the rotor outer diameter. Furthermore,
is a constant that denotes the ratio of the rotor inner diameter to the rotor outer diameter. Since the torque of an AFPM is proportional to the cube of the rotor outer diameter, the motor was designed using the maximum allowable outer diameter while minimizing the lamination stack height. This approach was used to select an appropriate motor size.
In the PCB stator proposed in this study, the winding is distributed, and electrical connection between the active conductor and end-turn sections is essential. Since the end-turn does not contribute to torque generation, the permanent magnets on the rotor are applied only up to the outer region, excluding the end-turn area. Accordingly, the PCB stator AFPM is designed such that the stator outer diameter is larger than the rotor outer diameter, and the previously selected maximum allowable outer diameter is used as the stator outer diameter. The maximum lamination height was determined based on the lamination size of a conventional motor, as summarized in
Table 1 along with the overall motor specifications and dimensional constraints. The thickness of the PCB copper pattern was selected as 2 oz, which provides optimal electrical resistance and dimensional characteristics (approximately 1 mm in axial direction for 6 layers). For the base model analysis, a 12-layer PCB stator was configured by serially connecting two sets of 6-layer boards with 6 parallel windings.
Figure 3 shows the series connection schematic of two 6-layer PCB, along with copper thickness and the structure of a 12-layer PCB.
The winding layout of the PCB stator proposed in this study adopts a distributed winding configuration with a pole-to-slot ratio of 1:3, which enables the winding factor to be set as 1. Within the selected design dimensions, performance analysis was conducted based on combinations of optimal pole and slot numbers and the number of conductors per slot. Using the 8-pole configuration of the conventional model as a reference, analysis was performed on a PCB stator AFPM with 8 poles and 24 slots, with 6 conductors per slot, as well as other combinations that provide similar or higher total series turns. In a PCB stator AFPM, via holes are required to establish electrical connections between conductors in the axial direction. However, implementation of via holes requires a minimum spacing between them, which imposes a constraint on the minimum inner diameter. Therefore, the analysis was carried out using only combinations of pole number, slot number, and conductors per slot that satisfy the via hole spacing requirements.
Figure 4 shows the variation in the number of conductors per slot under the same pole-slot combination.
Table 2 presents the performance of comparison models based on the analysis of pole-slot combinations and conductors per slot in the PCB stator AFPM. Under the 1:3 pole-to-slot configuration, an increase in the number of poles leads to an increase in the number of slots, which in turn increases the total number of series turns on the board and results in a higher no-load back-EMF. However, increasing the number of conductors per slot extends the current path on the PCB, leading to higher resistance. Conversely, when the number of poles decreases, the total number of series turns is reduced, which lowers the resistance. However, the effective conductor area on the PCB increases, resulting in greater AC loss in the winding. Additionally, the reduction in series turns also leads to a decrease in no-load back-EMF. Based on this analysis, the model with 16 poles, 48 slots, and 4 conductors per slot was selected as optimal, as it delivers the highest output within the allowable current density limit. Although the selected current density exceeds the values commonly applied in conventional motors considering standard cooling approaches, it was validated through prototype fabrication and performance evaluation, confirming that the design operates without thermal or functional issues [
16].
5. Conclusions
This study presents the design of a PCB stator-based AFPM optimized for duct fan applications under size constraints and analyzes the performance of various topologies based on different rotor and stator arrangements. To address the manufacturing limitations and structural constraints of conventional core-type AFPM, a coreless structure was adopted. The stator was designed using PCB fabrication processes, enabling automated production and facilitating the implementation of diverse topologies.
In the early design stage, combinations of pole-slot numbers and the number of conductors per slot were evaluated to identify the configuration that delivers the highest output. Subsequently, outer and inner end-turn patterns were optimized to increase the allowable current, thereby enhancing output. Additionally, a linear conductor pattern was applied to effectively reduce AC loss. Based on this, a baseline single stator–double rotor topology was applied, and comparisons among topologies with different rotor and stator arrangements were conducted while maintaining equal magnet usage and an identical number of PCB stators. As a result, Model C-1 exhibited approximately 5.3% higher no-load back EMF and 7.5% higher output compared to the baseline, demonstrating its superior efficiency. While previous studies have primarily focused on topology comparisons in core-type AFPM, this study contributes by proposing an efficient rotor–stator arrangement specifically designed for PCB stator-based AFPM. This result demonstrates that performance improvement is achievable under identical resource constraints and provides valuable insights for future motor designs utilizing PCB stators in similarly constrained environments.