EMC’09/Kyoto 21Q1-1 Effect of Human Body on Near-Field Resonant Coupling Wireless Power Transmission System Qiaowei Yuan1, Qiang Chen, Kunio Sawaya Department of Electrical and Communication Engineering Graduate School of Engineering of Tohoku University Sendai, Japan 1 qwyuan@ecei.tohoku.ac.jp Abstract—A practical wireless power transmission system consisting of a larger rectangular wire loop and a small square wire loop with a parasitic square helical coil is proposed for efficient wireless power transmission in an indoor environment. The effects of the non-resonant object such as the conducting box and the human body on the power transmission efficiency and the resonant frequency are investigated numerically. The results show that the power transmission efficiency is reduced significantly when a non-resonant object is very close to the receiving element. However this reduction can be negligible when the relative distance between the receiving element and the nonresonant is larger than 0.5m or 0.03Ȝ at the resonant frequency of 19.22MHz. Key words: Wireless, Power transfer, Near field, Resonant coupling, Efficiency, Human body, SAR. I. INTRODUCTION Wireless power transmission(WPT) technology has been focused on again for its widely applications to charge ubiquitous electronic devices such as MP3, mobile phone, household robots and so on without cord [1]-[5]. The authors in [5] have experimentally demonstrated that the efficient power transmission can be achieved by using two strongly coupled helical coils [1], showing the potentiality to charge electronic devices. Comparing with the near magnetic field induction method [2],[3], the near-field resonant coupling method can transmit the power to longer distance and comparing with the far field radiation method [6]-[10], it is more efficient without wasting a vast energy due to omnidirectional antenna. One can use directive electromagnetic beam such as lasers, but this is not very practical and could be even dangerous. It requires an uninterrupted line of sight between the source and the device as well as a sophisticated tracking mechanism when the device is mobile terminal. In [5], the power transmission efficiency of two dielectric disks and two capacitive loaded conducting-wire loops are calculated by two parameters of the resonance width and the coupling coefficient which are introduced in the coupledmode theory (CMT), showing the applicability of the transmitting systems even in the presence of extraneous environmental objects. But the effects of the material of the non-resonant objects and the distance between the WPT system and the non-resonant objects have not been investigated sufficiently. In [11], a practical wireless transmitting system consisting of a large rectangular wire loop and a small square wire loop with a parasitic square helical coil was proposed by the present authors. The power transmission efficiency was defined as the ratio of the receiving power at the receiving element and the driving power at the transmitting element and calculated by full-wave electromagnetic analysis. The power transmission efficiency at the presence of a human body or a conducting box and the volume average specific absorption rate (SAR) by human body have been investigated in [11], but the results are very limited. In this paper, the effects of the material of the non-resonant object and the relative distance between the WPT system and the non-resonant object on power transmission efficiency are further investigated in detail. Based on the perspective of the safety of the human being under the WPT system, the average SAR is also investigated. II. A PRACTICAL WIRELESS POWER TRANSMISSION SYSTEM A schematic model of proposed WPT system is shown in Fig. 1. This WPT system is assumed to be worked at the operating frequency of 20 MHz and applied to a room with 2 m height and 6 m width. A rectangular loop S with side length of Sa = 6 m and Sb = 2 m which is linked to the driving circuit is used as the transmitting element. The loop S resonates in one-wavelength at the operating frequency of 20 MHz. Because the operating frequency should be officially decided in the future, the shape and size of loop antenna has to be designed to meet to the official WPT operating frequency and the size of a practical room, it is not a difficult work. A square loop D with side length of Da = 0.3 m connected to a load is supposed to be mounted on a mobile receiving terminal to charge the terminal. Similarly, the size of receiving element can be adjusted to the size of practical mobile terminal. The resonant frequency tuning and matching circuit of the receiving element are realized by using a parasitic square helical coil C. The side length, the pitch and the number of turns of the helical coil C are 0.3 m, 0.02 m and 5, respectively. The radii of all wires including loop S, loop D and helical coil C are 2 mm. All wires are supposed to be made of cooper with the conductivity of 5.8×107S/m. Copyright © 2009 IEICE 25 EMC’09/Kyoto 21Q1-1 (3a) at off-resonant frequency of 19MHz Fig. 1. A model of WPT system consisting of large rectangular loop and a small rectangular loop with a parasitic helical coil III. PRINCIPLE OF NEAR-FIELD RESONANT COUPLING WPT SYSTEM Resonant coupling is the fact that two same-frequency resonant objects tend to couple, while interacting weakly with other off-resonant elements. The operating frequency of WPT system can be found by investigating the frequency characteristics of the input impedance of the transmitting element and receiving element. Fig. 2 shows the input impedance of transmitting element and receiving element calculated by the method of moments (MoM), indicating that both the transmitting and receiving elements resonate at the frequency of about 19.22MHz. Therefore, it can be predicted that the proposed WPT will transfer the power efficiently at this frequency. 100 (3a) at the resonant frequency of 19.22MHz Fig. 3. Distributions of Poynting vector IV. EFFECT OF NON-RESONANT OBJECT ON POWER TRANSMISSION EFFICIENCY AND AVERAGE SAR OF HUMAN BODY 500 R(Transmitting) 0 0 X [:] R [:] 50 R(Receiving) -50 X(Transmitting) X(Receiving) -100 5 10 15 20 Frequency [MHz] -500 25 Fig. 2. Frequency characteristics of input impedance of the transmitting element S and receiving element D In order to investigate the mechanism of the proposed nearfield coupling WPT system, the distribution of Poynting vector in xz-plane at y=0.05 m at the resonant frequency of 19.22MHz is compared with that at the off-resonant frequency of 19MHz in Fig. 3. It can be seen that a strong energy coupling between the transmitting element and receiving element occurs when two elements resonate at the frequency of 19.22MHz. Fig. 4. WPT sysytem at the presence of human body Human body and conducting box are used as the nonresonant objects in this numerical simulation. For the simplicity, the human body is modeled as a rectangular dielectric box with the size of 0.5m × 0.2m× 1.7m as shown in Fig. 4. The distance between the non-resonant object and the receiving element in xy-plane is denoted by d as shown in Fig. 5. The muscle-type dielectric material with relative Copyright © 2009 IEICE 26 EMC’09/Kyoto 21Q1-1 absorption of the human body. 50 Transmitting efficiency [%] dielectric constant of 107.2 and conductivity of 0.67S/m and the skull-type material with relative dielectric constant of 36.6 and conductivity of 0.092S/m are used as the material to represent the human body approximately. The conducting box has the same size as the human body. The load of receiving element is a resistance of 1:. d=0.3m 40 w/o object 30 conductive box 20 muscle-type skull-type 10 0 18.5 19 19.5 Frequency [MHz] 20 Fig. 6. Transmission efficeincy with/without object 50 Copyright © 2009 IEICE 27 Transmitting efficiency [%] conductive box 30 20 muscle-type 10 skull-type 0 18.5 19 19.5 Frequency [MHz] 20 Resonant Frequency of WPT system[MHz] Fig. 7. Transmission efficeincy with/without object 19.5 19 muscle-type skull-type conductive box 18.5 0.2 0.4 d [m] 0.6 0.8 Fig. 8. Resonant frequency of WPT as a function of d 100 50 d=0.3m 500 R with muscle-type R w/o muscle-type 0 0 X [:] The power transmission efficiencies for three different kinds of objects are shown in Fig. 6 and Fig. 7. In Fig. 6, the center of the receiving element is located at (0, 0, 0.5 m) while the bottom center of the human body is located at (0, 0.3 m, 0). The distance d in xy-plane is 0.3 m. In Fig. 7, the location of the receiving element is the same as that in Fig. 6, but the object is moved along y-direction by 0.2 m, it means that d is 0.5 m. For the case of d = 0.3 m, the resonant frequency of WPT system shifts down to 19MHz with about 40% reduction of the power transmission efficiency by the presence of the muscle-type human body or the skull-type human body. However, the shift of the resonant frequency of WPT system and the reduction of the transmission efficiency are not so much for the case at the presence of the conducting box, and also for the case of d=0.5 m even with the human body as shown in Fig. 7. Fig. 8 shows the resonant frequency of WPT system as a function of distance d. Fig. 9 shows the input impedance of the receiving element with and without the muscle-type human body. From Fig. 8, it can be observed that the resonant frequency of the WPT system shifts down when the human body comes close to the receiving element. This shift of the resonant frequency of the WPT system is almost the same to the shift of the resonant frequency of the receiving element as shown in Fig. 9. Fig. 9 shows that the resonant frequency of the receiving element moves down to 19MHz due to the presence of the muscle-type human body. Fig. 10 and 11 show the average SAR of the human body for the cases of muscletype body and skull-type body, respectively. The excited voltage is 1v for SAR calculations. It is found that the average SAR increases when the human body comes close to the receiving element as shown in Figs. 10-11. However, it is very interesting that the average SAR at the resonant frequency is much smaller than that at other off-resonant frequency when d is greater than 0.5 m, confirming that the resonant coupling WPT has a very weak interaction with other off-resonant environmental objects and the resonant system may reduce the R [:] Fig. 5. Disitance d between receiving elemment and non-resonant object in xy-plane w/o object d=0.5m 40 X with muscle-type -50 X w/o muscle-type -100 17 18 19 Frequency [MHz] -500 20 Fig. 9. Impedance of receiving element with/without human body EMC’09/Kyoto 21Q1-1 d=0.3m Average SAR [W/kg] power transfer by strong resonant coupling has been confirmed by calculating the distribution of Poynting vector in near field. The effect of the object such as human body or conducting box has also been investigated in detail, showing that the reduction of the power transmission efficiency due to the object is very serious when the object is very close to the receiving element. The reduction caused by the human body is much larger than that by the conducting box. However, this reduction of the power transmission efficiency can be alleviated significantly when the object is separated from the receiving element by a distance of more than 0.5m (or 0.03Ȝ at 19.22MHz). 2 (u10-5) Muscle-type d=0.4m 1.5 d=0.5m 1 d=0.6m d=0.8m d=0.7m 0.5 0 18.5 19 19.5 Frequency [MHz] 20 Fig. 10. Average SAR of muscle-type human body Average SAR [W/kg] (u10-5) d=0.3m 3 d=0.4m 2 d=0.5m d=0.6m d=0.7m d=0.8m ACKNOWLEDGMENTS This research was financial supported by telecom engineering center of Japan. Skull-type REFERENCES 1 0 18.5 19 19.5 Frequency [MHz] Fig. 11. Average SAR of skull-type human body 20 Finally, the power transmission efficiency as function of d is shown in Fig. 12, indicating that the effect of the nonresonant object such as human body and conducting box on the transmission efficiency can be negligible when the distance between the receiving element and the non-resonant object is separated over than 0.5m. Transmitting Efficiency [%] 50 40 30 conductive box 20 muscle-type 10 Skull-type 0 0.2 0.4 d [m] 0.6 [1] Kurs, Aristeidis Karakis, Robert Moffatt, J. D. Joannopoulos, Peter Fisher, Marin Soljacic, ”Wireless Power transmission via Strongly Coupled Magnetic Resonances,” SCIENCE, Vol.317, pp. 83-86, 6 July 2007. [2] J.Murakami, F. Sato, T. Watanabe, H.Matsuki, S. Kikuchi, K. Harakaiwa and T. Satoh, ”Consideration on Cordless Power Station – Contactless Power Transmission System,” IEEE Trans on magnetics, Vol. 32, pp. [3] K. Hatanaka, F. Sato, H. Matsuki, S. Kikuchi, J. Murakami, M. Kawase, T. Satoh, ”Power Transmission of a Desk With a Cord-Free Power Supply, ”IEEE Trans on magnetics, Vol. 38, pp. 3329-3331, No. 5, Sept. 2002. [4] T. Sekitani, M. Takamiya, Y. Noguchi, S. Nakano, Y. Kato, T. Sakurai and T. Someya, ”A large-area wireless power transmission sheet using printed organic transistors and plastic MEMS switches,” nature materials, Vol. 6, pp. 413-417, June 2007. [5] Aristeidis Karalis, J.D. Joannopoulos, and Marin Soljacic, ”Efficient wireless non-radiative mid-range energy transfer,” Annels Physics, 323(2008), pp.34-48. [6] US0,645,576 (1900-03-20) Nicola Tesla, System of Transmission of Electrical Energy. [7] US0,649,621 (1900-05-15) Nicola Tesla, Apparatus for Transmission of Electrical Energy. [8] US0,787,412 (1905-04-18) Nicola Tesla, Art of Transmitting Electrical Energy through the Natural Mediums [9] H. Matsumoto, ”Research on Solar Power Satellites and Microwave Power Transmission in Japan,” IEEE Microwave Magazine, Vol.3, No.4, pp.36-45, December 2002. [10] C. T. Rodenbeck, K. Chang, ”A Limitation on the Small-Scale Demonstration of Retrodirective Microwave Power Transmission from the Solar Power Satellite”, IEEE Antennas and Propagation Magazine, Vol.47, No.4, pp.67-72, August 2005. [11] Qiaowei YUAN, Qiang CHEN, Kunio SAWAYA, “Transmission Efficiency of Evanescent Resonant Coupling Wireless Power Transfer System with Consideration of Human Body Effect,” IEICE Technical Report, AP2008-91, p.95-99, September, 2008, Japan. 0.8 Fig. 12. Transmission efficeincy as a funtion of d at the presence of non-resonant object V. CONCLUSIONS The resonant frequency of the proposed WPT system consisting of a larger rectangular wire loop and a small square wire loop with a parasitic square helical coil has been determined by making the transmitting element and receiving element resonating at the desired frequency. The efficient Copyright © 2009 IEICE 28