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TELKOMNIKA, Vol.17, No.5, October 2019, pp.2547~2553
ISSN: 1693-6930, accredited First Grade by Kemenristekdikti, Decree No: 21/E/KPT/2018
DOI: 10.12928/TELKOMNIKA.v17i5.8640 ◼ 2547
Received October 5, 2018; Revised March 28, 2018; Accepted April 12, 2019
Wireless power transfer using the concept of
magnetic coil resonant system
Muhammad Fitra*, Elvy
Department of Electrical Engineering, University of Muhammadiyah Sumatera Utara
Post code 2037 Medan, North Sumatera, Indonesia
*Corresponding author, e-mail: mhdfitra@umsu.ac.id
Abstract
Long life lithium ion batteries and methanol fuel cells have been persuaded as ways to make
the electrical components more mobile, consumers’ expectations are still far from being met due to
the added weight and expenses for battery replacement. The discovery of wireless power is transfered as
a new option, and holds great promise to leave the oversized battery. The design of wireless power
transfer applies the concept of magnetic coil resonant system (MCRS). The concept of MCRS is similar
with a function of an antenna to transfer the power from one point to another. Simulation process is used to
produce the output wave on the virtual oscilloscope and to obtain the reading of output voltage from
the multimeter. The transmitter side contains power supply, transmitter oscillator circuit and transmitter
magnetic coil. Transmitter circuit convert DC to AC waveform and the receiver circuit convert AC to DC
voltage. The DC Source that connected to transmitter was provided by the DC source regulator acts as DC
source to adjust voltage and current separately. The project show the efficiency of the wireless power
transfer with different coil diameter and a distance between the transmitter and receiver coil. At a distance
of 15 cm, power is successfully transmitted as it is indicated by the LED light to turn on. The increment of
size in coil diameter has given a higher power and longer coverage distance for wireless transfer power.
Keywords: magnetic coil, resonant system, wireless power transfer
Copyright © 2019 Universitas Ahmad Dahlan. All rights reserved.
1. Introduction
Wireless power transfer has been a dream of human beings. Many scientists have
researched it uninterruptedly but very little progress has been made. They have been studied
very deeply and used in each daily life, such as electric toothbrushes, cordless home phones
and so on [1-3]. However, the researcher did not provide a design-oriented model for such
wireless power transfer systems, suitable for designing or validating a design. Efficiency of
non-contact electromagnetic induction can reach to 80% but it is in a very short distance i.e.
1 cm [4]. Wireless power transfer of resonant coupling can transfer energy in 5 cm and its
efficiency reaches 40%. A coil ring with an oscillating current works as resonant system to
transfer a power [5, 6]. This generate an oscillating magnetic field [7-9].
The prototype of wireless power transfer (WPT) has four main parts. The first part is DC
input voltage which is the input is using DC source. The second part is transmitter which is used
to transmit the power by using the magnetic coil resonance system (MCRS) [10-12]. The third
part is a receiver circuit that functions as a receiver to receive the power from the transmitter.
The last part is a load; this project used only LED as an output or load.
2. Proposed Method
WPT is the process where electrical energy is transmitted from a power source to
an electrical load across an air gap using induction coils [10]. These coils produce
an electromagnetic field which sends energy from a charging base station (transmitter) to a coil
on a portable device (receiver) with complete galvanic isolation [5, 11]. The receiver coil takes
power from the electromagnetic field and converts it into electrical power [8, 12]. Figure 1 shows
the block diagram for the whole project. Inductive or magnetic coupling works on the principle of
electromagnetism [13]. When a wire is proximity to a magnetic field, it induces a magnetic field
in that wire [14-16]. Transferring energy between wires through magnetic field is
inductive coupling.
◼ ISSN: 1693-6930
TELKOMNIKA Vol. 17, No. 5, October 2019: 2547-2553
2548
Figure 1. Block diagram of wireless power transfer
Figure 2 shows how the magnetic coil resonant system work. Depending on
the distance between the transmitter and receiver coils, only a fraction of the magnetic flux
generated by the transmitter coil penetrates the receiver coil and contributes to the power
transmission [16]. The more flux reaches the receiver, the better the coils are coupled [17].
Figure 3 shows longer distance between transmitter and receiver coils. In loosely coupled
systems, only a fraction of the transmitted flux is captured in the receiver [18-20].
Theoretically, less distance between transmit and receive coils are more efficient and less heat
which is an advantage to the products with tight budgets such as modern smartphones.
Figure 2. The short coil distance
Figure 3. The long coil distance
Figure 4 shows a simple WPT circuit, the left side is called transmitting side, and
the right side is called receiving side; u is a sinusoidal input for WPT [21, 22]. R1, R2, C1, C2 are
parasitic factors of the circuit. L1 and L2 are self inductances, and M is the mutual inductance
between L1 and L2. RL is a load resistance which consumes energy [23-25], while v1 and v2 are
the voltage of C1 and C2, and i1 and i2 are the current of L1 and L2.
DC input
voltage 6 V
Transmitter
circuit
Receiver
circuit
Output
coil distance Z
coil diameter D
Receiver coil
Transmitter coil
tightly coupled coils: Z much smaller than D
coil distance Z
coil diameter D
Receiver coil
Transmitter coil
loosely coupled coils: Z similar to D
TELKOMNIKA ISSN: 1693-6930 ◼
Wireless power transfer using the concept of magnetic coil resonant system (Muhammad Fitra)
2549
Figure 4. A simple WPT circuit
3. Research Method
This section gives the process of project experiment in 3 part namely simulation
process, testing process and hardware preparation.
3.1. Simulation
Figure 5 shows the simulation for the wireless power transfer circuit. This simulation
process is used to produce the output wave on the virtual oscilloscope and to obtain the reading
of output voltage from the multimeter. For the transmitter part, it contains DC source transmitter
circuit and magnetic coil. Transmitter circuit convert DC voltage to AC form, then receiver circuit
convert AC to DC form, that compatible for low power device.
Figure 5. Wireless power transfer circuit simulation
3.2. Testing Process
The experimental has been setup on PCB kit board for the transmitter and receiver
circuit. The LED has been used as a load and connected at the receiver side and magnetic coil.
The electric source for this experiment is variable DC power supply. Figure 6 shows the testing
the circuit on PCB kit board when both of coils areput at very close distance i.e. 0 cm. As
the experiment is carried out by turning on the DC supply, the LED is lighted up clearly with 3 V
on its terminal side. It is also recorded that the output voltage is 3 V. Figure 7 shows
the experiment as the coils are placed at longer distance i.e. 5 cm. The experimental result
shows that the LED is dimmed at 2.5 V. The output voltage decreases to 2.5 V. The experiment
is repeated with different diameter size of the coil to get the data measurement for each coil.
◼ ISSN: 1693-6930
TELKOMNIKA Vol. 17, No. 5, October 2019: 2547-2553
2550
Figure 6. The experiment for WPT magnetic coil with distance of 0 cm
Figure 7. The experiment for WPT magnetic coil with distance of 5 cm
3.3. Hardware Process
At the last process of experiment, the circuit is set up permanently at the printed circuit
board as the final prototype of WPT. The DC source for WPT prototype is fixed and it is supplied
by 6 V batteries. Figure 8 shows the hardware set up for the prototype. During experiment,
the electric power remains to be transferred although the distance between transmitter and
receiver coil is more than 15 cm. The bright of LED is clear to be observed.
Figure 8. Hardware circuit
4. Results and Discussion
The experiment applied 5 types coil with different diameter, i.e. 6–10 cm respectively.
Every coil has fixed 10 turn for both transmitter and receiver coil. Table 1 shows the result of
the output voltage with the several distance variables between the transmitter and receiver coil.
The maximum distance is obtained at 15 cm when the LED remains on which gives indication
that the power is transferred to the load.
DC Power Supply
Transmitter
Receiver & Load
Magnetic Coil
Receiver & Load
Transmitter
DC Power Supply
Magnetic Coil
Receiver & Load Transmitter
Magnetic Coil
Source
TELKOMNIKA ISSN: 1693-6930 ◼
Wireless power transfer using the concept of magnetic coil resonant system (Muhammad Fitra)
2551
Table1. The Experimental Result
Diameter (cm) Distance (cm) Output Voltage (V)
6.0 0 3.0
5 2.8
10 2.6
15 2.5
7.0 0 3.4
5 3.32
10 3.2
15 3.0
8.0 0 3.8
5 3.71
10 3.52
15 3.1
9.0 0 4.1
5 3.81
10 3.74
15 3.5
10.0 0 4.85
5 4.69
10 4.54
15 4.15
Figure 9 shows the graph of output voltage as the function of distance. The curves are
drawn based on recorded data at Table 1 and theygives the relationship that the output voltage
remains constant until the distance is set above 15 cm. The maximum decrement of output
voltage reach 4.15 V as the distance is set at 15 cm. The lower output voltage is occurred
because the receiver coil cannot receive the power from the transmitter coil.
Figure 9. Graph of output voltage vs distance
Figure 10 shows the output waveform from the oscilloscope. The waveform shows
the sinusoidal wave with frequency 468.8 kHz and 70.4 V peak to peak voltages as
the transmitter and receiver coil distance is 15 cm. Figure 11 shows the output waveform from
the oscilloscope. The waveform shows the sinusoidal wave with frequency 451 kHz and 83.2 V
peak to peak voltages as the transmitter and receiver coil distance is 0 cm. The amplitude of
output voltage is considerably high at 4.85 V, although the waveform has ripples.
The result shows that the output voltage are in the range of 4.15 to 4.85 V and
the output current at load side are in the range of 0.3 to 0.85 A. Those output voltage and
current provide 1.23 to 3.48 W when the recorded output voltage and current are calculated.
The power delivered at output side of receiver coil has the opportunity as the electric source for
any gadget or product. The increment of coil diameter has affected the higher power while
the longer distance between the coils has reduced the ability of WPT to transfer
the electric power.
◼ ISSN: 1693-6930
TELKOMNIKA Vol. 17, No. 5, October 2019: 2547-2553
2552
Figure 10. Sinusoidal output waveform for the distance of 15 cm
Figure 11. Sinusoidal output waveform for the distance of 0 cm
5. Conclusions
From the overall experiment conducted from this prototype of wireless power transfers
using the concept of magnetic coil resonant conclusions are deducted. Based on experimental
result, the study on wireless power transfer using MCRS has much aspect in terms distance and
size of diameter coil. The maximum distance is obtained at 15 cm when the LED remains on
which gives indication that the power is transferred to the load.
References
[1] Lin JC. Wireless power transfer for mobile applications and health effects. IEEE Antennas Propag.
Mag. 2013; 55(2): 250–253.
[2] Choi HJ, Ahn EH, Park SY, Choi JR. Portable battery charging circuits for enhanced magnetic
resonance Wireless Power Transfer (WPT) system. Conf. Proc.- 9th Conf. Ph. D. Res. Microelectron.
Electron. PRIME. 2013: 273–276
[3] Olvitz L, Vinko D, Švedek T. Wireless power transfer for mobile phone charging device. MIPRO, 2012
Proc. 35th Int. Conv. 2012: 141–145.
[4] Calder RJ, Lee SH, Lorenz RD. Efficientmhz frequency resonant converter for submeter (30 cm)
distance wireless power transfer. 2013 IEEE Energy Convers. Congr. Expo. ECCE. 2013:
1917–1924.
[5] Jonah O, Georgakopoulos SV, Tentzeris MM. Wireless power transfer to mobile wearable device via
resonance magnetic. 2013 IEEE 14th Annu. Wirel. Microw. Technol. Conf. WAMICON. 2013: 1–3.
[6] Fujibe H, Kesamaru K. Magnetic field analysis of wireless power transfer via magnetic resonant
coupling for electric vehicle. Int. Conf. Electr. Mach. Syst. 2014; 3: 83–87.
[7] Zhang Y, Zhao Z, Chen K. Frequency decrease analysis of resonant wireless power transfer. IEEE
Trans. Power Electron. 2014; 29(3): 1058–1063
[8] Li H, Yang X, Wang K, Dong X. Study on efficiency maximization design principles for Wireless
Power Transfer system using magnetic resonant coupling. 2013 IEEE ECCE Asia Downunder.
2013: 888–892
[9] Zhang X, Ho SL, Fu WN. Analysis and optimization of magnetically coupled resonators for wireless
power transfer. IEEE Trans. Magn. 2012; 48(11): 4511–4514
[10] Zohdi TI. Electromagnetic Propertiesof Multiphase Dielectrics. Series Editors. London:
Springer. 2012.
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2553
[11] Knoepfel HE. Magnetic Field. Canada: Jhon Wiley & Sons, INC. 2000.
[12] Eom HJ. Primary Theory of Electromagnetics. London: Springer. 2013.
[13] Dumitriu L, Niculae D, Iordache M, Mandache L, Zainea G. On wireless power transfer. 2012 Int.
Conf. Appl. Theor. Electr. 2012: 1–6
[14] Raavi S, et al. An optical wireless power transfer system for rapid charging. 2013 Texas Symp. Wirel.
Microw. Circuits Syst. 2013: 1–4
[15] Fu M, Zhang T, Zhu X, Ma C. A 13.56 MHz wireless power transfer system without impedance
matching networks. 2013 IEEE Wirel. Power Transf. WPT. 2013: 222–225
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[17] Ahn S, Kim J. Magnetic field design for high efficient and low EMF wireless power transfer in on-line
electric vehicle. Antennas Propag. (EUCAP), Proc. 5th Eur. Conf. 2011: 3979–3982
[18] Ean KK, Chuan BT, Imura T, Hori Y. Novel band-pass filter model for multi-receiver wireless power
transfer via magnetic resonance coupling and power division. 2012 IEEE 13th Annu. Wirel. Microw.
Technol. Conf. WAMICON. 2012: 1-6.
[19] Imura T, Okabe H, Hori Y. Basic experimental study on helical antennas of wireless power transfer
for electric vehicles by using magnetic resonant couplings. 5th IEEE Veh. Power Propuls. Conf.
VPPC ’09. 2009: 936–940.
[20] Yoon IJ, Ling H. Investigation of near-field wireless power transfer under multiple transmitters. IEEE
Antennas Wirel. Propag. Lett . 2011; 10(2): 662–665.
[21] Beh TC, Imura T, Kato M, Hori Y. Basic study of improving efficiency of wireless power transfer via
magnetic resonance coupling based on impedance matching. 2010 IEEE Int. Symp. Ind. Electron.
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[24] Duong TP, Lee JW. Experimental results of high-efficiency resonant coupling wireless power transfer
using a variable coupling method. IEEE Microw. Wirel. Components Lett. 2011; 21(8): 442–444.
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Wireless power transfer using the concept of magnetic coil resonant system

  • 1. TELKOMNIKA, Vol.17, No.5, October 2019, pp.2547~2553 ISSN: 1693-6930, accredited First Grade by Kemenristekdikti, Decree No: 21/E/KPT/2018 DOI: 10.12928/TELKOMNIKA.v17i5.8640 ◼ 2547 Received October 5, 2018; Revised March 28, 2018; Accepted April 12, 2019 Wireless power transfer using the concept of magnetic coil resonant system Muhammad Fitra*, Elvy Department of Electrical Engineering, University of Muhammadiyah Sumatera Utara Post code 2037 Medan, North Sumatera, Indonesia *Corresponding author, e-mail: mhdfitra@umsu.ac.id Abstract Long life lithium ion batteries and methanol fuel cells have been persuaded as ways to make the electrical components more mobile, consumers’ expectations are still far from being met due to the added weight and expenses for battery replacement. The discovery of wireless power is transfered as a new option, and holds great promise to leave the oversized battery. The design of wireless power transfer applies the concept of magnetic coil resonant system (MCRS). The concept of MCRS is similar with a function of an antenna to transfer the power from one point to another. Simulation process is used to produce the output wave on the virtual oscilloscope and to obtain the reading of output voltage from the multimeter. The transmitter side contains power supply, transmitter oscillator circuit and transmitter magnetic coil. Transmitter circuit convert DC to AC waveform and the receiver circuit convert AC to DC voltage. The DC Source that connected to transmitter was provided by the DC source regulator acts as DC source to adjust voltage and current separately. The project show the efficiency of the wireless power transfer with different coil diameter and a distance between the transmitter and receiver coil. At a distance of 15 cm, power is successfully transmitted as it is indicated by the LED light to turn on. The increment of size in coil diameter has given a higher power and longer coverage distance for wireless transfer power. Keywords: magnetic coil, resonant system, wireless power transfer Copyright © 2019 Universitas Ahmad Dahlan. All rights reserved. 1. Introduction Wireless power transfer has been a dream of human beings. Many scientists have researched it uninterruptedly but very little progress has been made. They have been studied very deeply and used in each daily life, such as electric toothbrushes, cordless home phones and so on [1-3]. However, the researcher did not provide a design-oriented model for such wireless power transfer systems, suitable for designing or validating a design. Efficiency of non-contact electromagnetic induction can reach to 80% but it is in a very short distance i.e. 1 cm [4]. Wireless power transfer of resonant coupling can transfer energy in 5 cm and its efficiency reaches 40%. A coil ring with an oscillating current works as resonant system to transfer a power [5, 6]. This generate an oscillating magnetic field [7-9]. The prototype of wireless power transfer (WPT) has four main parts. The first part is DC input voltage which is the input is using DC source. The second part is transmitter which is used to transmit the power by using the magnetic coil resonance system (MCRS) [10-12]. The third part is a receiver circuit that functions as a receiver to receive the power from the transmitter. The last part is a load; this project used only LED as an output or load. 2. Proposed Method WPT is the process where electrical energy is transmitted from a power source to an electrical load across an air gap using induction coils [10]. These coils produce an electromagnetic field which sends energy from a charging base station (transmitter) to a coil on a portable device (receiver) with complete galvanic isolation [5, 11]. The receiver coil takes power from the electromagnetic field and converts it into electrical power [8, 12]. Figure 1 shows the block diagram for the whole project. Inductive or magnetic coupling works on the principle of electromagnetism [13]. When a wire is proximity to a magnetic field, it induces a magnetic field in that wire [14-16]. Transferring energy between wires through magnetic field is inductive coupling.
  • 2. ◼ ISSN: 1693-6930 TELKOMNIKA Vol. 17, No. 5, October 2019: 2547-2553 2548 Figure 1. Block diagram of wireless power transfer Figure 2 shows how the magnetic coil resonant system work. Depending on the distance between the transmitter and receiver coils, only a fraction of the magnetic flux generated by the transmitter coil penetrates the receiver coil and contributes to the power transmission [16]. The more flux reaches the receiver, the better the coils are coupled [17]. Figure 3 shows longer distance between transmitter and receiver coils. In loosely coupled systems, only a fraction of the transmitted flux is captured in the receiver [18-20]. Theoretically, less distance between transmit and receive coils are more efficient and less heat which is an advantage to the products with tight budgets such as modern smartphones. Figure 2. The short coil distance Figure 3. The long coil distance Figure 4 shows a simple WPT circuit, the left side is called transmitting side, and the right side is called receiving side; u is a sinusoidal input for WPT [21, 22]. R1, R2, C1, C2 are parasitic factors of the circuit. L1 and L2 are self inductances, and M is the mutual inductance between L1 and L2. RL is a load resistance which consumes energy [23-25], while v1 and v2 are the voltage of C1 and C2, and i1 and i2 are the current of L1 and L2. DC input voltage 6 V Transmitter circuit Receiver circuit Output coil distance Z coil diameter D Receiver coil Transmitter coil tightly coupled coils: Z much smaller than D coil distance Z coil diameter D Receiver coil Transmitter coil loosely coupled coils: Z similar to D
  • 3. TELKOMNIKA ISSN: 1693-6930 ◼ Wireless power transfer using the concept of magnetic coil resonant system (Muhammad Fitra) 2549 Figure 4. A simple WPT circuit 3. Research Method This section gives the process of project experiment in 3 part namely simulation process, testing process and hardware preparation. 3.1. Simulation Figure 5 shows the simulation for the wireless power transfer circuit. This simulation process is used to produce the output wave on the virtual oscilloscope and to obtain the reading of output voltage from the multimeter. For the transmitter part, it contains DC source transmitter circuit and magnetic coil. Transmitter circuit convert DC voltage to AC form, then receiver circuit convert AC to DC form, that compatible for low power device. Figure 5. Wireless power transfer circuit simulation 3.2. Testing Process The experimental has been setup on PCB kit board for the transmitter and receiver circuit. The LED has been used as a load and connected at the receiver side and magnetic coil. The electric source for this experiment is variable DC power supply. Figure 6 shows the testing the circuit on PCB kit board when both of coils areput at very close distance i.e. 0 cm. As the experiment is carried out by turning on the DC supply, the LED is lighted up clearly with 3 V on its terminal side. It is also recorded that the output voltage is 3 V. Figure 7 shows the experiment as the coils are placed at longer distance i.e. 5 cm. The experimental result shows that the LED is dimmed at 2.5 V. The output voltage decreases to 2.5 V. The experiment is repeated with different diameter size of the coil to get the data measurement for each coil.
  • 4. ◼ ISSN: 1693-6930 TELKOMNIKA Vol. 17, No. 5, October 2019: 2547-2553 2550 Figure 6. The experiment for WPT magnetic coil with distance of 0 cm Figure 7. The experiment for WPT magnetic coil with distance of 5 cm 3.3. Hardware Process At the last process of experiment, the circuit is set up permanently at the printed circuit board as the final prototype of WPT. The DC source for WPT prototype is fixed and it is supplied by 6 V batteries. Figure 8 shows the hardware set up for the prototype. During experiment, the electric power remains to be transferred although the distance between transmitter and receiver coil is more than 15 cm. The bright of LED is clear to be observed. Figure 8. Hardware circuit 4. Results and Discussion The experiment applied 5 types coil with different diameter, i.e. 6–10 cm respectively. Every coil has fixed 10 turn for both transmitter and receiver coil. Table 1 shows the result of the output voltage with the several distance variables between the transmitter and receiver coil. The maximum distance is obtained at 15 cm when the LED remains on which gives indication that the power is transferred to the load. DC Power Supply Transmitter Receiver & Load Magnetic Coil Receiver & Load Transmitter DC Power Supply Magnetic Coil Receiver & Load Transmitter Magnetic Coil Source
  • 5. TELKOMNIKA ISSN: 1693-6930 ◼ Wireless power transfer using the concept of magnetic coil resonant system (Muhammad Fitra) 2551 Table1. The Experimental Result Diameter (cm) Distance (cm) Output Voltage (V) 6.0 0 3.0 5 2.8 10 2.6 15 2.5 7.0 0 3.4 5 3.32 10 3.2 15 3.0 8.0 0 3.8 5 3.71 10 3.52 15 3.1 9.0 0 4.1 5 3.81 10 3.74 15 3.5 10.0 0 4.85 5 4.69 10 4.54 15 4.15 Figure 9 shows the graph of output voltage as the function of distance. The curves are drawn based on recorded data at Table 1 and theygives the relationship that the output voltage remains constant until the distance is set above 15 cm. The maximum decrement of output voltage reach 4.15 V as the distance is set at 15 cm. The lower output voltage is occurred because the receiver coil cannot receive the power from the transmitter coil. Figure 9. Graph of output voltage vs distance Figure 10 shows the output waveform from the oscilloscope. The waveform shows the sinusoidal wave with frequency 468.8 kHz and 70.4 V peak to peak voltages as the transmitter and receiver coil distance is 15 cm. Figure 11 shows the output waveform from the oscilloscope. The waveform shows the sinusoidal wave with frequency 451 kHz and 83.2 V peak to peak voltages as the transmitter and receiver coil distance is 0 cm. The amplitude of output voltage is considerably high at 4.85 V, although the waveform has ripples. The result shows that the output voltage are in the range of 4.15 to 4.85 V and the output current at load side are in the range of 0.3 to 0.85 A. Those output voltage and current provide 1.23 to 3.48 W when the recorded output voltage and current are calculated. The power delivered at output side of receiver coil has the opportunity as the electric source for any gadget or product. The increment of coil diameter has affected the higher power while the longer distance between the coils has reduced the ability of WPT to transfer the electric power.
  • 6. ◼ ISSN: 1693-6930 TELKOMNIKA Vol. 17, No. 5, October 2019: 2547-2553 2552 Figure 10. Sinusoidal output waveform for the distance of 15 cm Figure 11. Sinusoidal output waveform for the distance of 0 cm 5. Conclusions From the overall experiment conducted from this prototype of wireless power transfers using the concept of magnetic coil resonant conclusions are deducted. Based on experimental result, the study on wireless power transfer using MCRS has much aspect in terms distance and size of diameter coil. The maximum distance is obtained at 15 cm when the LED remains on which gives indication that the power is transferred to the load. References [1] Lin JC. Wireless power transfer for mobile applications and health effects. IEEE Antennas Propag. Mag. 2013; 55(2): 250–253. [2] Choi HJ, Ahn EH, Park SY, Choi JR. Portable battery charging circuits for enhanced magnetic resonance Wireless Power Transfer (WPT) system. Conf. Proc.- 9th Conf. Ph. D. Res. Microelectron. Electron. PRIME. 2013: 273–276 [3] Olvitz L, Vinko D, Švedek T. Wireless power transfer for mobile phone charging device. MIPRO, 2012 Proc. 35th Int. Conv. 2012: 141–145. [4] Calder RJ, Lee SH, Lorenz RD. Efficientmhz frequency resonant converter for submeter (30 cm) distance wireless power transfer. 2013 IEEE Energy Convers. Congr. Expo. ECCE. 2013: 1917–1924. [5] Jonah O, Georgakopoulos SV, Tentzeris MM. Wireless power transfer to mobile wearable device via resonance magnetic. 2013 IEEE 14th Annu. Wirel. Microw. Technol. Conf. WAMICON. 2013: 1–3. [6] Fujibe H, Kesamaru K. Magnetic field analysis of wireless power transfer via magnetic resonant coupling for electric vehicle. Int. Conf. Electr. Mach. Syst. 2014; 3: 83–87. [7] Zhang Y, Zhao Z, Chen K. Frequency decrease analysis of resonant wireless power transfer. IEEE Trans. Power Electron. 2014; 29(3): 1058–1063 [8] Li H, Yang X, Wang K, Dong X. Study on efficiency maximization design principles for Wireless Power Transfer system using magnetic resonant coupling. 2013 IEEE ECCE Asia Downunder. 2013: 888–892 [9] Zhang X, Ho SL, Fu WN. Analysis and optimization of magnetically coupled resonators for wireless power transfer. IEEE Trans. Magn. 2012; 48(11): 4511–4514 [10] Zohdi TI. Electromagnetic Propertiesof Multiphase Dielectrics. Series Editors. London: Springer. 2012.
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