Textile-Based Coils for Inductive Wireless Power Transmission

Abstract

We developed and evaluated different textile-based inductive coils for near-field wireless power transmission. The technology uses electromagnetic induction for the contactless transfer of electrical energy. Therefore, we investigated various methods for the attachment of conductive materials on a textile-based material and the production of textile-based coils based on QI standard. Afterwards, the textile-based coils were examined and evaluated due to their specific quality characteristics. This happens by calculating the transmission quality and the maximum efficiency of the system which enables comparison of different coil systems and indicates the transmission efficiency of the systems.

1. Introduction

Digitization is changing the way we communicate, inform, and consume. This will be one of the reasons for a considerable increase in the demand of smart textiles and wearable computers in the future. The Leibniz Centre for European Economic Research (ZEW) estimated a quadrupling of the market volume of smart textiles is realistic between the years 2017 and 2022 [1]. It can be assumed, that Smart Textiles will be a part of our everyday life, soon. However, at the moment there is a lack of acceptance and trust in these new textiles and clothing. High prices and the laborious handling of the products might be reasons for that. Moreover, the non-textile components, that enable the smart functions to the textiles, can be annoying for the user because all electronic components must be removed before washing the clothing. Other disruptive factors are the higher weight, wear and tear on plug connections, and possible restrictions on movements due to rigid and inflexible elements in the textile, which can be significantly reduced by using textile components. A textile induction coil for contactless energy transmission in wearables can reduce the stiff electric components in the clothing [2,3].

Wireless charging means the contactless transfer of energy by electromagnetic induction over short distances. The functional principle of wireless charging is based on inductive coupling of two coils (L1 and L2). One of the coils acts as a transmitter (L1) and the other as a receiver (L2) [4]. The physical principle behind contactless power transmission is electromagnetic induction. This means that a time-varying current (alternating current, AC) flowing through a primary coil generates a time-varying magnetic field. The magnetic field of the primary coil partially passes through an immediately adjacent secondary coil. The magnetic field of the primary coil generates an induction voltage at the receiver coil and, when loaded, a time-varying current. Koo et al. [5] focused on the analysis of a textile coil sensor and how its position affects the heart rate measurements. An important part of the work was the development and fabrication of the textile inductive coil sensor. It enabled a continuous monitoring of the heart rate without any contacts. The coil was made out of a hybrid yarn of polyester with silver coating and it was stitched onto a non-conductive base material. The coil consisted of ten turns with a distance of 15 mm. The outer diameter of the coil was 66 mm and the inner diameter was 10 mm. The inductance of the coil was 3.5695 µH. The heart rate can be measured by the change of the coil inductance in relation to the change of the impedance inside the body [5].

Sun et al. [6] investigated the electrical characteristics of sewn, embroidered, laser cut, and printed induction coils for wireless power transmission. They used a reference coil design of the Qi standard called WE-WPCC TRASM Qi-A5. The embroidered coil was made of a silver coated yarn. The planned inductance of the coil was 10.47 µH which results in 16 turns. For the laser cut method, a conductive fabric from Kitronik was used, which is made of nylon and has a silver coating on the surface. The final coil had 14 turns, an inner diameter of 20 mm and an inductance of 8.89 µH. As a third variant, an induction coil was printed onto a carrier textile via screen printing. They used an electrically conductive pigment printing paste. According to the planned inductance of 10.52 µH, the coil had 16 turns. Furthermore, it was determined that the printed coil was not suitable for energy transfer due to the high coil resistance and insignificant conductivity. To detect a possible energy transfer, the embroidered coil was used as power receiver and coupled with a transmitter system. At the output they measured a voltage of 4.6 V, which confirmed an energy transfer [6].

Li et al. [7] focused on the development of a textile-based induction coil for contactless energy transfer. They printed various coil geometries on a textile substrate using the screen-printing method. Therefore, they used a thermally curing silver printing paste. The design of the coil geometry was based on the planned inductance and was based on the Qi standard. An inductive energy transfer could be realized. A power of max. 1.2 W power was detected with a voltage of 5 V [7].

There has been no practical implementation of inductive wireless power transmission in smart textiles. In our work, we would like to improve the energy transfer of the coils and examine the influence of the wire resistance of the coil on the possible energy transfer.

2. Materials and Methods

2.1. Materials

The materials need a sufficient electrical conductivity and thereby a low electrical resistance. The first material, ELITEX^® I (ELITEX) from Imbut GmbH, is a silver-plated polyamide yarn coated with an insulating PVC coating. The yarn including insulation has a final fineness of about 4000 dtex. Compared to other conductive yarns, the ELITEX yarn has a relatively low electrical resistance of 5 Ω/m. Due to its thickness of the material, it cannot be used as a sewing or embroidery thread and is therefore only suitable for tailored wire placement (TWP) which means a modification of the tailored fiber placement (TFP) [8]. It focuses on depositing cables or wires onto a carrier material instead of fiber materials. In this process, the cable is deposited on the carrier material by an oscillating guide and fixed to the base material by stitching. A particular advantage of this method is the free deposition of wires in circles, arcs, and all directional angles. A three-dimensional deposition of the wires is also possible, which offers the user enormous design freedom [9].

The second yarn is Shieldex 235/36 dtex 2 ply HC+B (Shieldex 235), which is also a silver-coated polyamide yarn with 605 dtex. According to the manufacturer, the yarn has an electrical resistance of 80 Ω/m. The third yarn: Shieldex 117/17 dtex 2 ply HC+B (Shieldex 117), is also a silver-coated polyamide yarn. It has a count of 295 dtex and the electrical resistance is lower than 300 Ω/m. The next used yarn is a multifilament yarn made of polyester. In order to achieve electrical conductivity, the yarn is wound with two very fine copper threads, which are individually insulated with lacquer. Like the ELITEX^®, the wrapping yarn is only suitable as a winding material in the TWP (

Table 1. Material data of the conductive wire/yarn.

Material	Shieldex 117/17 dtex 2ply HC+B	Shieldex 235/36 dtex 2ply HC+B	ELITEX I PVC_B14/12_235/ f34x4_PA/AG	Wrapped Yarn	Lacquered Copper Strand CLI 200/30
Raw material	polyamide 6.6	polyamide 6.6	polyamide	wrapped yarn	100% copper
coating	99% silver	99% silver	>99% Silber	lacquered copper	polyurethane.
Yarn count	295 dtex	605 dtex	$\mathrm{4000}\mathrm{\text{dtex}}\pm \mathrm{20}\mathrm{\text{dtex}}$		0.236 mm2
Electrical resistance	80 Ω/m	<300 Ω/m	$5\mathsf{\Omega }/\mathrm{m}\pm$ 5 Ω/m 0.5 A at 30 °C	20 Ω/m
Picture

).

Another possibility which we used for a TWP coil is the use of a lacquer strand out of copper (no. CLI 200/30) from BLOCK TRANSFORMATOREN. The strand consists in total of 30 individual wires, each 0.1 mm in diameter and with a cross-sectional area of 0.236 mm² and a resistance of 0.07 Ω/m. The lacquer insulation is polyurethane-based. The manufacturer specifies 0.84 A as the current load, as well as a continuous heat resistance of 130 °C [10]. The printing paste no. 200-05 from Creative Materials Inc. is used to print the conductive structures. The silver printing paste consists of 84% silver and has a sheet resistance of 0.010 Ω/mm².

2.2. Sample Production

Various manufacturing processes have been tested for the production of textile-based coils. For this purpose, a number of textile processes are available. The following methods are used:

▪

tailored-wire placement (TWP),

▪

embroidery with conductive yarns,

▪

printing with conductive printing paste,

▪

hand winding.

The materials ELITEX, the wrapping yarn and the copper strand cannot be used as embroidery yarns due to their rough and brittle structure. Moreover, they are too thick for the embroidery needles, because of its silver coating and the PVC insulation. Instead, the TWP is the more suitable method. In addition, the same materials are also suitable to produce hand-wound coils, because of their higher stiffness and deformable properties. The two Shieldex yarns are used as embroidery threads due to their fineness. The yarns can be used for patterning via various stitch types. The conductive printing paste is used in the screen-printing process.

2.2.1. Embroidered Coils with Conductive Yarns

The first coils were embroidered onto a ground textile using a zigzag stitch (test series Z). The difficulty in processing the Shieldex yarns is to design the templates in such a way that a high stitch density can be achieved (Figure 1). At the same time, we have to ensure small gaps between the turns of a coil. However, due to the fact that Shieldex yarns do not have any insulation, the windings must not touch each other, otherwise there would be a short circuit at this point. We examined if there are any short circuits between the windings.

For initial trials five different coil sizes have been stitched, which had a varying number of turns. We also used different yarns and yarn combinations. The first embroidered coil (Z175) made out of Shieldex 235 has an outer diameter of 75 mm and consists of 10 turns. Both, upper thread and lower thread were made of the yarn. The track width of the windings was 2 mm each. The second coil (Z275) out of Shieldex 235 had a diameter of 75 mm and also 10 turns, the track width was 2 mm. The next bobbin (Z375) had an outer diameter of 75 mm, 10 turns. It consisted of Shieldex 117 in the upper thread, a non-conductive polyester yarn of similar fineness was used as the lower thread. The last bobbin (Z455) of this type has a diameter of 55 mm and seven turns with a track width of 1.5 mm. Both the upper thread and the lower thread are made of Shieldex 235.

Table 2. Overview of embroidered coils with Shieldex yarns—test series Z.

Coil	Z175	Z275	Z375	Z455
Diameter	75	75	75	55
Windings	10	10	10	7
Yarn	Shieldex 235/ Shieldex 235	Shieldex 117	Shieldex 235	Shieldex 235/ Shieldex 235
Track width	2 mm	2 mm	2 mm	1.5 mm

provides an overview of all embroidered bobbin geometries made of Shieldex 235 and 117. They are called Z series (Table 2). The distance between the windings differs between 0.5–0.2 mm.

Tailored wire placement is used as a further embroidery method (test series S, Figure 2). A 100% polyester canvas fabric was used as the embroidery base. To prevent the stitches from sinking into the textile, an embroidery stabilizer was attached for the embroidery process. The individual windings cannot be placed arbitrarily close to each other due to the overstitch width, which means a possible loss factor for the power transmission. If the windings of the spiral coil are constructed too close to each other, the conductor may be punctured by a needle. This is also the reason why the TWP coils became slightly larger compared to the reference designs of the Qi coils.

The coils were stitched with an outer diameter of 40, 50, and 60 mm, with the three different conductor materials: ELITEX (E), wrapping yarn (U), and copper strand (L). The first two coils 60E12 and coil 60U12 had an outer diameter of 60 mm and an inner diameter of 11 mm. They each had 12 turns and a space of 1.5 mm between the turns. ELITEX and the wrapping yarn were used as conductor materials. The third stitched coil 60L12 had the same shape, size and number of turns as the previous coils, only the conductor material was replaced by the copper strand. Due to the larger wire diameter, the distance between turns was 0.5 mm and the inner diameter was 9 mm. An overview of the coils is shown in

Table 3. Different coil geometries–tailored wire placement.

	Outer Diameter (mm)	Inner Diameter (mm)	Windings	Material
S60E12	60	11	12	ELITEX
S60U12	60	11	12	wrapping yarn
S60L12	60	9	12	braid wire
S50E15	60	15	15	ELITEX
S50U15	50	15	15	wrapping yarn
S50L15	50	11	15	braid wire
S40E9	40	15	9	ELITEX
S40U9	40	15	9	wrapping yarn
S40L9	40	12	9	braid wire

.

The coils: 50E15, 50U15, and 50L15 had an outer diameter of 50 mm (Figure 3). Coils 50E15 and 50U15 had an inner diameter of 15 mm and their turns had a distance of 0.5 mm to each other. Coil 50L15 had an inner diameter of 11 mm and there was no distance between the windings.

The remaining three coils—40E9, 40L9, and 40U9—had an outer diameter of 40 mm (Figure 4). The inner diameter of 40E9 and 40U9 was 15 mm, for 40L9 it was 12 mm. ELITEX was used as the conductor material (Table 3).

2.2.2. Wound Coils

The coils were wound by hand: test series W (Figure 5). ELITEX and the wrapping yarn were used as coil material. Compared to stitched coils, hand winding had the considerable advantage that any geometry could be implemented without causing significant size deviations. In this context, coil winding technology refers to the winding or forming of an electrical conductor into a coil form. The manufacturing process of coil winding is classified within the DIN 8580 standard [11].

The geometry of the wound coil WPR1 corresponds to the sample coil of the Qi standard power receiver. The coil WPR2 corresponds to Qi sample coil 2, the coil WPR3 corresponds to Qi sample coil 3, coil WPR4 corresponds to Qi sample coil 4, WPR5 corresponds to Qi sample coil 5 (Figure 5). The dimensions can be taken from

Table 4. Structure of the wound coils according to Qi standard.

	WPR1	WPR 2	WPR3	WPR4	WPR5
Outer diameter	44.25 × 32.25 mm	32 mm	47 mm	47 mm	40 mm
Inner diameter	28.75 × 14.75 mm	21.7 mm	24.25 mm	28 mm	22 mm
Windings	14	9	12	10	15
Layers	1	2	1	2	1
Material	ELITEX/wrapping yarn	ELITEX/wrapping yarn	ELITEX/wrapping yarn	ELITEX/wrapping yarn	ELITEX/wrapping yarn

.

2.2.3. Printed Coils

The stencil printing process is widely used in textile finishing. The print substrate is pressed through the screen-printing stencil with a rubber squeegee and applied directly to the textile. Before printing, the print design is affixed to the screen. During the printing process, the squeegee brings the print substrate through open screen areas on the print base. In order to achieve a higher application quantity and layer thickness, the squeegeeing process can also be repeated several times [12].

The first geometry D180 had an outer diameter of 80 mm and an inner diameter of 25 mm. The coil had 11 turns, whose track width was 1.5 mm. The distance between the turns was <1 mm. The second print pattern D280 had an outer diameter of 80 mm, an inner diameter of 23 mm and 7 windings. The track width was 3 mm per turn, but there was a deviation of ± 1 mm because the print quality was not constant. Coil D300 had a diameter of 100 mm outside and 30 mm inside. The coil had 7 turns with a track width of 3 mm per turn (Figure 6,

Table 5. Structure of the wound coils according to Qi standard.

	D180	D280	D300
Outer diameter	80 mm	80 mm	100 mm
Inner diameter	25 mm	23 mm	30 mm
Windings	11	7	7
Track width	1.5 mm	3 mm	3 mm
Material	Silver printing paste	Silver printing paste	Silver printing paste

).

2.3. Quality Evaluation of the Coils

In the following section, we will show a method to examine the previously presented textile coils for inductive energy transmission and we will evaluate the difference between the various types. Therefore, we use the coupling factor and the quality factor. The coupling factor merely describes which fraction of a generated magnetic field actually passes through a receiving coil. To obtain a high coupling factor, it would be useful, to couple two identically constructed coils.

In order to compare the transmission characteristics of the textile receiver coil, we use the transmission quality [13]. The transmission quality is a system parameter that can be determined metrologically and analytically and it enables an objective comparison of different systems. It indicates the efficiency which can be achieved under ideal conditions. It also provides information about the drop-in efficiency with variable load resistance. Transmission quality [13]

$$Q_k=\sqrt{\frac{1+\frac{Im{\left(Z_{12}\right)}^2}{\mathit{Re}\left(Z_{11}\right)\cdot \mathit{Re}\left(Z_{22}\right)}}{1-\frac{\left(\mathit{Re}(Z_{12}\right){)}^2}{\mathit{Re}\left(Z_{11}\right)\cdot \mathit{Re}\left(Z_{22}\right)}}}$$

(1)

We can determine the maximum possible efficiency by using the transmission quality of the system

$${\eta }_{max}=\frac{Q_k-1}{Q_k+1}$$

(2)

The maximum efficiency is plotted against the transmission quality in Figure 7.

The transmission quality was measured by using a two-port network [14]. Therefore, we developed the following equivalent circuit. The coupled coils are linear, time invariant and reciprocal systems, which can be represented in a T-equivalent circuit diagram diagram (Figure 8). The left side of the equivalent circuit (input) is described by the voltage V₁ and the current I₁. Similarly, voltage V₂ and current I₂ describe the output. All indicated voltages and currents are alternating quantities. The impedances Z₁₁, Z₂₂, and Z₁₂ are required.

The impedance is the AC resistance consisting of an active component (ohmic resistance) and a reactive component (reactance). It establishes a relationship between voltage and current and their phase shift.

$$\underset{\_}{Z}=R+j·X$$

(3)

R represents the ohmic resistance and X represents the reactance, which is often frequency-dependent. For a coil, X with L as inductance is valid

$$X_L=\omega ·L\mathrm{with}\omega =2·\pi ·f,$$

(4)

$$\underset{\_}{Z}=R+j\left(2·\pi ·f\right)L$$

(5)

In order to determine the impedances Z₁₁, Z₂₂, and Z₁₂, they are divided into real and imaginary parts according to (4.7). The measurement system feeds the device with a known AC voltage and measures the current in magnitude and phase. Furthermore, the system offers the possibility to convert this result directly into an inductance as well as an ohmic loss resistance according to (4.8).

The first measurement corresponds to the impedance of the input, while the output is unloaded (Figure 9). This impedance is henceforth named Z_1o. It corresponds to the impedance of the transmitting coil with a coupled receiving coil and open terminals. In this case, the impedance at the input is independent from the series impedance Z₂₂ − Z₁₂.

$$Z_{1o}=Z_{11}-Z_{12}+Z_{12}$$

(6)

$$Z_{1o}=Z_{11}$$

(7)

The procedure is reversed and the impedance at the output is measured with the input open during the second measurement (Figure 10). Z_2o is determined analogously to Z_1o.

In the third measurement, the impedance at the input is measured again, but this time with a shorted output, which is shown in the following equivalent diagram.

Following Figure 11

$$Z_{1s}=Z_{11}-Z_{12}+\frac{Z_{12}\left(Z_{22}-Z_{12}\right)}{Z_{12}+Z_{22}-Z_{12}}$$

(8)

$$Z_{12 }= \pm \sqrt{Z_{22} \left(Z_{11}-Z_{1s}\right)}$$

(9)

$$Z_{12 }= \pm \sqrt{Z_{2o} (Z_{1o}-Z_{1s}}) ,$$

(10)

Due to the reciprocity, the previously calculated result can be checked in a fourth measurement. For this purpose, the impedance of the output can be measured when the input is short-circuited.

In order to create a possibility for the qualification of a transmission system, the transmission quality was introduced [13]. It evaluates the qualities of the transmitter and receiver coil as well as the coupling. Thus, it provides a characteristic value for the suitability of energy transmission between the two coils.

We used a transmitting coil from Würth Electronics (article number 760308100111, Figure 12). It had an outer diameter of 50 mm, was constructed according to reference transmitter design A10 [15] and consists of a ferrite and a copper strand. The inductance of the coil was 24 µH.

In the test series all textile receiver coils were successively coupled with this transmitter coil. Measurements were taken once with and once without ferrite foil on the back of the textile receiver coils. The influence of the ferrite foil on the transmission characteristics was determined. As already described, the measurements were carried out with a defined distance between the transmitting and receiving coils. A sheet of acrylic glass with a thickness of 3 mm was used for this purpose.

The measurements were performed with the PSM 1735 Frequency Response Analyzer from N4L (Figure 13). With the analyzer, we measured the resistance of the coils. The test frequency was defined with 110 kHz. The frequency is based on the frequency range of the Qi standard [15]. The frequency is used to regulate the power transmission. At low frequency, the greatest power is transmitted. Depending on their manufacturing process, the coils are assigned to a test series, this enables a clearer evaluation of the results. Test series D includes all printed coils, test series S the TWP coils, test series W contains the wound coils, and test series Z includes the stitched coils from Statex.

$$\begin{gathered} Q_k=\sqrt{\frac{1+\frac{Im{\left(Z_{12}\right)}^2}{\mathit{Re}\left(Z_{11}\right)\cdot \mathit{Re}\left(Z_{22}\right)}}{1-\frac{\left(\mathit{Re}(Z_{12}\right){)}^2}{\mathit{Re}\left(Z_{11}\right)\cdot \mathit{Re}\left(Z_{22}\right)}}} \\ {\eta }_{max}=\frac{Q_k-1}{Q_k+1} \end{gathered}$$

3. Results

Efficiency is the most important parameter for power transfer, as it is the ratio of output to input. The evaluation criteria are the transmission quality, as well as the maximum achievable efficiency of the test objects (

Table 6. Measurement results of the copper coils.

Transmitter Coil	Receiver Coil	${\mathit{Q}}_{\mathit{k}}$	${\mathit{\eta }}_{\mathit{m}\mathit{a}\mathit{x}}$
760308100111	760308100111	93.84	0.9789

). All values were measured three times and averaged.

The coils are subdivided according to their manufacturing method and the coil material. The results are listed in the following tables.

Table 7. Results for transmission quality Q_k and maximum efficiency η_max of test series S.

Name	${\mathit{Q}}_{\mathit{k}}$	${\mathit{\eta }}_{\mathit{m}\mathit{a}\mathit{x}}$	${\mathit{Q}}_{\mathit{k}}$	${\mathit{\eta }}_{\mathit{m}\mathit{a}\mathit{x}}$
	Without ferrite foil		With ferrite foil
60E12	3.99	0.564	5.52	0.693
50E15	5.15	0.675	8.03	0.778
40E9	4.28	0.620	7.23	0.760
60U12	3.11	0.514	7.35	0.760
50U15	No measurement possible
40U9	2.93	0.490	5.41	0.688
60L12	25.02	0.923	41.44	0.950
50L15	35.5	0.945	49.45	0.960
40L9	29.7	0.935	42.15	0.954

contains the calculated results for the transmission quality Q_k and the maximum achievable efficiency η of the stitched coils from test series S, with and without the use of the ferrite foil. In the following, we present the results from coils, which show peculiarities for example by a very good or very bad result.

The 50E15 coil without ferrite has a transmission quality of 5.15 and a max. efficiency of 0.675. Considering the results of the measurements with ferrite, a significant increase of both parameters can be observed. The transmission quality can be increased to 8.02 and the max. efficiency up to 0.780, which means an increase of 10.5%. For the 40E9 coil, we observe a 14% improvement of the max. efficiency from 0.620 to 0.760. While the highest transmission quality of the ELITEX coils with ferrite is 8.02, with a max. efficiency of 0.780 (78%). The coil 50L15 already achieves a transmission quality of 35.5 without ferrite, which even increases to 49.45 with ferrite, which corresponds to a max. efficiency of 0.960 (96%). The other two coils made out of stranded copper wires, (60L12, 40L9) also have a high transmission quality of >40 and a max. efficiency greater than 0.90 with and without ferrite. Coil 60U12 achieves a max. efficiency of 0.76 (76%) and a transmission quality of 7.35. Coil 50U15 was not possible to connect to the measurement system.

Table 8. Results for transmission quality Q_k and maximum efficiency η_max of test series W.

Name	${\mathit{Q}}_{\mathit{k}}$	${\mathit{\eta }}_{\mathit{m}\mathit{a}\mathit{x}}$	${\mathit{Q}}_{\mathit{k}}$	${\mathit{\eta }}_{\mathit{m}\mathit{a}\mathit{x}}$
	Without ferrite foil		With ferrite foil
WPRE1	5.61	0.697	8.07	0.780
WPRE2	5.09	0.670	5.68	0.701
WPRE3	5.85	0.708	7.32	0.759
WPRE4	6.81	0.743	10.51	0.862
WPRE5	5.57	0.695	8.21	0.780
WPRU1	No measurement possible
WPRU2	2.92	0.490	4.10	0.608
WPRU3	4.24	0.619	5.23	0.680
WPRU4	5.17	0.676	7.01	0.750
WPRU5	4.39	0.629	6.92	0.748

contains the results of the wound coils of ELITEX and wrapping yarn. Coil WPRE4 achieved a max. efficiency of 0.743 with a transmission quality of 6.81 without the use of the ferrite. In the measurements with ferrite, an increase in max. efficiency to 0.862 (86.2%) was achieved. Hence, this coil achieves the highest possible efficiency with a textile conductor material. This is probably due to the fact that the two inputs and outputs of the coil are connected in parallel, which halves the electrical resistance. WPRU4 achieves the second-highest results (7.01/0.75) with a fully textile structure.

The coil test conditions for the measurements from test series Z (embroidered coils with Shieldex yarns) were slightly different from the others. The test frequency was reduced to 100 kHz and we used a different ferrite foil. The transmission quality was still significantly below those of the other textile coils. Nevertheless, coil Z580 with ferrite foil could achieve the best test result with a transmission quality of 2.6499 and a max. efficiency of 0.452 (

Table 9. Results for transmission quality Q_k and maximum efficiency η_max of test series Z.

Name	${\mathit{Q}}_{\mathit{k}}$	${\mathit{\eta }}_{\mathit{m}\mathit{a}\mathit{x}}$	${\mathit{Q}}_{\mathit{k}}$	${\mathit{\eta }}_{\mathit{m}\mathit{a}\mathit{x}}$
	Without ferrite foil		With ferrite foil
Z175	1.1255	0.0591	1.2511	0.1115
Z275	1.0642	0.0311	1.1129	0.0534
Z455	1.0801	0.0385	1.1279	0.0601
Z580	1.0616	0.0299	2.6499	0.4520

). The printed coils were also tested, but it was not possible to measure inductance. The capacitive component seemed to outweigh the inductive component.

4. Discussion

This paper deals with the development of textile induction coils for contactless energy transfer. For this purpose, three different methods for the possible fabrication of textile coils were investigated. Five varying coil materials were used for this project. The result of the manufacturing process resulted in total of 26 different coils, which differ in their shape and size, number of turns, and starting material. The different coils are critically examined on the base of their transmission properties. After an initial examination of all the results, it is already clear that the 60L12, 50L15, and 40L9 coils deliver significantly higher results. This is mainly due to the fact that the coils 60L12, 50L15, and 40L9 consist of stranded copper wire. These coils deliver the best transmission characteristics, even without ferrite.

Coil 50L15 achieves the best test results of the entire test (η_max = 0.960). It is clear that textile conductors cannot compete with these electrical properties. Nevertheless, presentable results could be obtained even with the coils made entirely of textile fiber material. The wound WPRE4 coil from test series W achieved the best result of all textile coils with a maximum efficiency of 0.862 (86.2%). This unexpectedly positive result can be attributed to the high number of turns and the small distance between the turns. However, this result can also be significantly improved by using a ferromagnetic material.

The TWP coils became slightly larger compared to the reference designs of the Qi coils This does not mean that the TWP coils should be rated worse than smaller sized coils. Conversely, the size of the transmitting coil should be adjusted to achieve the best possible coupling between the two components.

A closer look at the individual results reveals that, among other things, there are differences between the various geometries. It turns out that the coils with a high number of turns and very small distance between the turns show the highest test results for the max. efficiency within their category (see 50E15, 50L15, WPRE4, WPRU4).

The results of coils made out of wrapping yarn bad regarding η_max and Q_k. Because of its much lower resistance, the fine copper wires around the yarn should result in better transmitting properties than a coated yarn. The wrapped yarns seem to occur eddy current which might negatively influence the magnetic field. Consequently, wrapped yarns are not the best solution for a final application. Furthermore, the contacting of the material is difficult.

The printed coils (test series D) did not provide values for inductances. Rather, capacitances were measured instead of inductances. This could be due to the fact that the inductance of the coils is very low and the capacitive component outweighs the inductive component. For this reason, no results are given for the printed coils. Under these conditions, a suitability of the printed coils cannot be verified. Therefore, we conclude printed coils we produced are not suitable for wireless energy transmission.

The printed coils from test series D, as well as the embroidered coils, proved poor or non-measurable transmission properties. An initial determination of the coil resistance already indicated a considerable low energy transmission. Another problem in the processing of Shieldex yarns is the absence of insulation. Since the windings are close together, it is indispensable to prevent short circuits. For this reason, we do not recommend coils with Shieldex yarns. However, it would be possible to improve the suitability for wireless transmission by increasing the degree of metallization as well as additional insulation. Due to the relatively high resistance, the yarn length should be reduced.

5. Conclusions

The value of the transmission quality is always based on ideal conditions at the input and output. The efficiency of a coil system depends on the power electronic which supplies electric current to the coil. In this paper, coil systems can only be qualitatively compared based on their transmission characteristics. We can compare the suitability of a coil system for energy transmission. The results have proven the possibility of contactless power transmission using various textile materials.

This paper shows and compares inductive energy transfer with textile receiver coils. The achievable transmission efficiencies are comparatively low. The samples show realization possibilities of textile coils, but they are not able to achieve the same results of a copper coil system in terms of efficiency. A lower efficiency can be accepted for low output powers, such as supplying some LEDs or a small sensor. Otherwise, the coils would probably heat up strongly and could cause burns to the user in the worst case. There are some difficulties in processing textile materials and in observing the electrical properties. For example, it is difficult to measure the electrical resistances of textile materials, because there is a lot of variation in the textile material. Selecting a suitable textile coil material, it should be decided whether the textile properties or the electrical properties are more important for the application. We recommend using insulated wires for inductive wireless power transmission. In either case, a ferrite foil should be used. Furthermore, not all coils had the same geometry. Further adjustments could be made in the measurement setup. That might have a positive effect on the transmission characteristics. In addition, the measurements could be carried out with a lateral offset in the x- and y-directions to determine how this affects the achievable efficiency and transmission quality. Before the textile coils can be integrated, further optimization is required. Follow-up investigations should be carried out for this purpose. In addition to the practical construction of actual transmission systems and the maximization of the actual overall efficiency, mechanical load and washability tests must be carried out.

In addition, a way to protect the receiving coil from moisture or dirt should be worked out. Electromagnetic compatibility poses a particular challenge, and it must be examined whether the transmission systems need special shielding.

For the transmission of larger amounts of energy we recommend using copper conductors. They show significantly higher efficiencies than textile conductive yarns, in any configuration. In addition, copper conductors are not significantly inferior to textile conductive yarns in terms of haptics and drapability. Textile conductive yarns can also be used as coil material, when transmitting small amounts of energy and focusing a purely textile setup.