Session 2P4 Near to Mid-range Wireless Power Transfer Technology: Principles and Applications 2 Wireless Power Transmission by Scalar Waves Konstantin Meyl, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 382 Study of Transmission Performance on Strong Coupling Wireless Power Transfer System in Free Position X. L. Huang, W. Wang, L. L. Tan, J. M. Zhao, Y. L. Zhou, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Investigation of Characteristics of the Current for the Maximum Power Transfer in Wireless Power Transmission Xueliang Huang, Qingjing Ji, Linlin Tan, Wei Wang, Hao Qiang, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . The Coil Misalignment Model of Inductively Coupled Wireless Power Transfer System: Mutual Inductance Analysis and Transfer Efficiency Optimization Xueliang Huang, Hao Qiang, Linlin Tan, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Resonant Frequency Splitting Analysis and Optimation of Wireless Power Transfer System Xueliang Huang, Linlin Tan, Wei Wang, YaLong Zhou, Hao Qiang, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Equivalence of Inductive Coupling and Strongly Coupled Magnetic Resonance in Wireless Power Transfer 383 David S. Ricketts, A. Hillenius, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A Comparison of Analytical Models for Resonant Inductive Coupling Wireless Power Transfer Elisenda Bou Balust, Eduard Alarcon, Jordi Gutierrez, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Optimization of Wireless Power Transfer with Intermediate Resonant Coil for Interfacing with the Central Nervous System Lingyao Chen, Massood Tabib-Azar, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Undesired Emission from Spiral Resonators for Coupled Resonant Wireless Power Transfer Hiroshi Hirayama, K. Komatsu, Nobuyoshi Kikuma, Kunio Sakakibara, . . . . . . . . . . . . . . . . . . . . . . . . . . . . Magnetostrictive Resonators for Wireless Energy Transfer Alexander Chernokalov, Mikhail Makurin, Nikolay Olyunin, Vladimir Arkhipenkov, Ki Young Kim, Keum-Su Song, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Resonant Structure Based on Bulk Acoustic Resonator (Metacapacitor) Pavel A. Turalchuk, Orest G. Vendik, Irina B. Vendik, Dmitry V. Kholodnyak, Ki Young Kim, Keum-Su Song, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Adaptive Impedance Matching for Magnetically Coupled Resonators Benjamin H. Waters, Alanson P. Sample, Joshua R. Smith, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 388 381 385 386 387 389 390 392 394 395 396 382 Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 Wireless Power Transmission by Scalar Waves Konstantin Meyl Faculty of Computer and Electrical Engineering, Furtwangen University, Germany Abstract— Current RFID technology explains how the transfer of energy takes place on a chip card by means of longitudinal wave components in close range of the transmitting antenna. It is scalar waves which spread towards the electrical or the magnetic field pointer. That provides the better explanation. Using the wave equation proposed by Maxwell’s field equations these wave components were set to zero. Why were only the postulated model computations provided after which the range is limited to the sixth part of the wavelength. This text proposes instead the rationale for scalar wave components in the wave equation of Laplace. Physical conditions for the development of scalar wave transponders become operable well beyond the close range. Scalar wave information and energy is transferred with the same carrier wave and not carried over two separated ways as with RFID systems. Bi-directional signal transmission with energy transfer in both directions is achieved when there is a resonant coupling between transmitter and receiver. The first far range transponders developed on the basis of the extended field equations are already functional as prototypes, according to the US-Patent No. 787,412 of Nikola Tesla: Art of transmitting electrical energy through the natural medium, New York 1905. New areas of application with increased requirements are for example: • In telemetry plants rotary sensors are to be supplied with energy (in the car, e.g., to control tire-pressure). • Also with heat meters the energy should come from a central unit and be spreadly wireless in the whole house to the heating cost meters without the use of batteries (replacing active RFIDs). • In airports contents of freight containers are to be seized, without having been opened or the forwarding trade wants to examine closed truck charges by transponder technology (security checks). • In the robot and handling technique the wirings are to be replaced by a wireless technology due to wear-out problem. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 383 Study of Transmission Performance on Strong Coupling Wireless Power Transfer System in Free Position X. L. Huang, W. Wang, L. L. Tan, J. M. Zhao, and Y. L. Zhou School of Electrical Engineering, Southeast University, Nanjing 210096, China Abstract— With power frequency fixed, the output power and transmission efficiency maximum points of wireless power transmission system do not appear simultaneously under SeriesParallel (SP) resonance model. However, output power and transmission efficiency have key relationships with the impedance matching of system. With the change of spatial free position of two coils, the mutual inductance between two coils will change, which have a further influence on impedance matching of system. Therefore, an optimization scheme has been proposed which is based on pursuit of the maximum transmission efficiency or output power. That is to say, in different free position, power ascension or efficiency improving can be achieved through the appropriate regulation of axial distance, radial distance or offset angle. It shows relationships between power, efficiency and axial distance, radial distance or offset angle in Figure 1 and Figure 2, which is achieved by theoretical simulation, and simulation parameters: two identical spiral copper laps r = 10 cm, N = 31. Results show that the change of the axial distance, radial distance or offset angle has an apparent effect on the output power and transmission efficiency of system, which suggests that by changing the axial distance, radial distance or offset angle we can realize the adjustment of the power and efficiency of the system. So, the feasibility of the above conclusions theoretically has been proved. From the experimental results of Figure 3 and Figure 4, it is known that when the axial distance d = 5 cm and radial offset distance increases from 0 to 5 cm, output power increases 6 W. Offset angle ranges from 0◦ to 10◦ , the transmission efficiency decreases 3% and when the angle continues increasing to 30◦ , the efficiency has a sudden 4% increment. The feasibility of the above theories has been proved by experiment. Meanwhile, another comparative experiment is designed to verify the impact of the surrounding environment upon the performance of the system. Two iron panels have been added to both sides of the 10 cm symmetry of the system in the case of fixed power frequency. It is found Figure 1: P with L and d, simulation. Figure 2: η with α and d, simulation. Figure 3: d = 5 cm, P with L, experiment. Figure 4: d = 5 cm, η with α, experiment. 384 Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 that transmission performance (transmission efficiency and output power) of system has declined (blue wire in Figures 3, 4), but the trend is the same as it with no obstacles. To sum up, this paper puts forward a way of adjustment to achieve the maximum output power and transmission efficiency of the system through changing axial distance, radial distance or offset angle between two coils. It will have a good significance for the design and control of practical applications. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 385 Investigation of Characteristics of the Current for the Maximum Power Transfer in Wireless Power Transmission X. L. Huang, Q. J. Ji, L. L. Tan, W. Wang, and H. Qiang School of Electrical Engineering, Southeast University, Nanjing 210096, China Abstract— The electromagnetic field distribution between the two coils of wireless power transmission (WPT) is investigated by the way of numerical calculation. Meanwhile the relationship between the current phase difference of the two coils (transmitting Tx coil and receiving Rx coil) and the transferred power is revealed and discussed. In the WPT system, the energy is transferred with the aid of a coupling electromagnetic field between the two coils. The main working principles of WPT that are mostly referred and discussed are the electromagnetic induction and the magnetic resonance coupled mode theory. In this paper, the electromagnetic field distribution is obtained by the numerical calculation of finite element method. For the special coils, the electromagnetic field distribution is determined by the amplitude and phases of the current in two coils, labeled as I˙1 = A∠0, I˙2 = B∠ϕ (ϕ is the phase angle difference). With the numerical calculation of the Maxwell equation, the distribution of the Poynting vector between the Tx coil and Rx coil is obtained (Fig. 1). It can be seen that the power is transferred from one coil to another. Integrating the Poynting vector in the surface that in the middle of the two coils (as seen in the Fig. 1), the power (Pt ) transferred from Tx coil to Rx could be obtained. Setting the current amplitudes of A and B, and adjusting the ϕ, we could find that the peak of Pt occurs when the ϕ = π2 (Fig. 2). The relation of Pt and other factors, such as the frequency of work, current amplitudes, are also discussed. The conclusions proposed in this paper are deduced based on the theory of electromagnetic field, so it is universal to be benefit to understand the working principle of WPT and carry out the further researches. Figure 1: The Poynting vector distribution between the two coils. Figure 2: The Pt change with the ϕ. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 386 The Coil Misalignment Model of Inductively Coupled Wireless Power Transfer System: Mutual Inductance Analysis and Transfer Efficiency Optimization X. L. Huang1 , H. Qiang1, 2 , and L. L. Tan1 1 2 School of Electrical Engineering, Southeast University, Nanjing 210096, China School of Information Science and Engineering, Changzhou University, Changzhou 213164, China Abstract— A novel means of optimizing transfer efficiency of the inductively coupled wireless power transfer (ICWPT) system is presented for the first time by looking for the partial optimal solution of mutual inductance of coil misalignment. Inductive coupling is one major technology of wireless power transfer, which transfers power from a primary transmitter (Tx) coil to a secondary receiver (Rx) coil with the aid of an alternating magnetic field. Many researches have deduced the expression of the transfer efficiency and results show that the high transfer efficiency is associated with the great mutual inductance. To the general knowledge, the Tx and Rx coils would be ideally coaxially orientated so that maximum coupling such as the maximum mutual inductance and the optimal transfer efficiency results. Meanwhile the mutual inductance is correlated with the parameters of coils and the separate distance, lateral distance and tilt angle between the two coils. In the applications envisaged, such as electric vehicles and biomedical implants, generally the receiving coil is laterally and angularly misaligned from the transmitting coil. The numerical solution of the mutual inductance between the two coils is derived and simulation result shows that there is a partial optimal solution in the ranges of lateral and angular misalignments with the special system parameters, as shown in Fig. 1. Then a novel means is presented for the first time to design the coil to be removable and rotatable for optimizing transfer efficiency by looking for the maximum mutual inductance in a special rangs. Finally the experimental results show it is accordant with the theory analysis and the proposed means is efficient and greatly improves the transfer efficiency. If the transfer distance is 15 cm and there is no lateral misalignment, the transfer efficiency can be improved about from 38.6% to 60.5% by turning the transmitting coil to vary the tilt angle from 0 to π/4, as shown in Fig. 2. This introduced technique can be widely applied to wireless power transfer system to optimize the transfer efficiency. ×10 -7 Figure 1: Mutual inductance M of coil misalignment with lateral distance l and tilt angle θ. Figure 2: The measured transfer efficiency, where the Tx coil is removable and rotatable while the Rx coil is fixed. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 387 Resonant Frequency Splitting Analysis and Optimation of Wireless Power Transfer System X. L. Huang, L. L. Tan, W. Wang, Y. L. Zhou, and H. Qiang School of Electrical Engineering, Southeast University, Nanjing 210096, China Abstract— Studies reveal that while at long-distance transmission, the wireless power transfer system has only one stable resonant frequency and under this frequency the transmitting and receiving coils circuits in their self-resonance respectively, meanwhile, the system achieves efficient performance. But, at close transfer distance, the system resonant frequency will give rise to three resonant frequencies which increase the power transfer instability. Because of the system has more than one resonant frequency which means resonant frequency splitting occurs, it is difficult to determine an ideal frequency controlling points. So it is necessary to solve the resonant frequency splitting problem to improve the system stability and control ability at whole transfer distance. In order to achieve system resonance, varieties of capacitor compensated modes can be used in transmitting and receiving circuits. In this paper the bilateral capacitor parallel-compensated topology (PP) is studied, and the system load equivalent model is established to analyze the variation characteristics of the system input impedance. Then the threshold conditions of the transfer distance and load are given while the system resonant frequency splitting occurs. In conclusion, an optimization control method is proposed to ensure the system a single stable resonant frequency and effective work in resonant status. Based on the above analysis, it can be found that at close distance, a single stable resonant frequency of the transfer system for an easy control can be achieved through the following two methods: (1) with resonant frequency ω0 and load RL fixed, adjusting α to achieve the system’s operation on ω0 , which ω = βω0 , which α for capacitance ratio α = C1 /C2 , C1 , C2 are the capacitor compensated of system coils. This method has less requirements on power source frequency output and only needs change in small range. However, a too large α will cause a large gap between the system’s transmitting and receiving circuits self-resonant frequency, which is not conducive to the effective power transfer; (2) with α fixed, and adjusting RL to achieve only one resonant frequency at the whole distance under the context of d < dc , where, dc denoted as a threshold distance which makes the system has only one resonant frequency. Figure 1: Frequency splitting, which ω = βω0 . Figure 2: The curve of RL varied with d. Figure 3: Load received power varied with d. Figure 4: Transfer efficiency varied with d. 388 Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 Equivalence of Inductive Coupling and Strongly Coupled Magnetic Resonance in Wireless Power Transfer D. S. Ricketts and A. Hillenius Carnegie Mellon University, Pittsburgh, USA Abstract— Recent demonstrations of mid-range wireless power transfer using strongly coupled magnetic resonance [1] has created a resurgence in research activity in wireless power delivery using magnetoquasistatic fields. Inductively coupled wireless power transfer has been extensively studied and used over the past 100 years, in particular the last 50 years in biomedical and charging applications [2]. Works using coupled magnetic resonance have purported that the coupled resonance produces increased efficiency over non-resonant approaches [1, 3], e.g., inductive coupling. Several modeling papers have shown that the coupled magnetic resonance can be modeled by a simple mutual inductance and RLC network using standard network theory [4]. In particular, they show that the use of resonance can be interpreted simply as an optimal impedance matching of load and source, just as is done routinely in inductively coupled wireless power transfer. These works are very useful for modeling and calculations; however, they do not show explicitly or experimentally that that the maximum possible power transfer is dictated by coil geometry and separation only, and that optimum power transfer can be achieved with an optimally impedance matched inductively coupled 2-coil system or with a strongly coupled magnetic resonance 4-coil system. In this work we present experimental results of a non-resonant source coil (no resonating capacitor) impedance matched with a discrete T -matching network and a strongly coupled magnetic resonant source coil system tuned for optimal efficiency. We show that the maximum power transfer is the same for both systems and that the maximum power is determined by the geometry of the coils, i.e., inductors, only. We also show experimentally that the use of an external impedance matching network or a 2-coil strongly coupled magnetic resonant system is simply a different implementation of the same physical principles. (a) (b) (c) Figure 1: (a) Strongly coupled magnetic resonance. d1 is adjusted for maximum power transfer d2 is fixed at 10 in. (25.4 cm). (b) Input impedance of part (a) as a function of d1 . (c) Same loop as in (a) but without a resonance capacitor. Impedance match is achieved with discrete T -match circuit. Measured impedances shown. Both loops have identical loads and generate approximately the same output power (30 mW in this example). REFERENCES 1. Kurs, A., et al., “Wireless power transfer via strongly coupled magnetic resonances,” Science, Vol. 317, 83–86, July 2007. 2. Donaldson, N. de N. and T. A. Perkins, “Analysis of resonant coupled coils in the design of radio frequency transcutaneous links,” Med. & Biol. Eng. & Comput., Vol. 21, 612–627, 1983. 3. Ho, S. L., et al., “A comparative study between novel witricity and traditional inductive magnetic coupling in wirless charging,” IEEE Tran. on Mag., Vol. 47, 1522–25, May 2011. 4. Dionigi, M. and M. Mongiardo, “CAD of wireless resonant energy links (WREL) realized by coils,” IEEE Int. Microw. Symp., 1760–1763, 2010. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 A Comparison of Analytical Models for Resonant Inductive Coupling Wireless Power Transfer E. Bou1 , E. Alarcon1 , and J. Gutierrez2 1 Electronic Engineering Department, Technical University of Catalonia UPC BarcelonaTech, Spain 2 Applied Physics Department, Technical University of Catalonia UPC BarcelonaTech, Spain Abstract— Recent research in wireless power transfer (WPT) using resonant inductive coupling has demonstrated very high efficiencies (above 40%) at large distances compared to the antenna dimensions, which has exponentially increased the number of potential applications of WPT. Since resonant inductive coupling is a very multidisciplinary field, different approaches have been proposed to predict the behaviour of these systems from physical theory of resonators, reflected load theory and the circuit point of view. However, the relation between these methods is still obscure. In this article, we compare the results of these models to find the efficiency of a Resonant Inductive Coupling WPT system under Steady-State conditions and to analyze the relation between the optimal load values obtained from this perspectives and the ones obtained using impedance matching techniques. 389 390 Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 Optimization of Wireless Power Transfer with Intermediate Resonant Coil for Interfacing with the Central Nervous System Lingyao Chen and Massood Tabib-Azar University of Utah, 50 S. Central Campus Dr., Rm. 3280 MEB Salt Lake City, UT 84112-9206, USA Abstract— Sensing and stimulating neurons using wireless telemetry systems are extensively used for prosthetics and mapping the circuitry of the brain [1]. In these systems, the preferred method for power and signal transmissions is to use an open-transformer configuration (Fig. 1) also known as magnetic dipole or inductive coupling [2]. Here we show that a third resonant coil can be used in-between the transmitting and receiving coils (Fig. 2) to enhance the telemetry efficiency by X5 in the inductive coupling scheme. Inductors and capacitors in all three coil circuits had the same value of 1 µH and 100 nF, respectively, yielding the same resonant frequency for the transmitter (TX), intermediate (IM) and receiving coils (RX). Furthermore, the RX coil’s radius was fixed at 0.6 mm. Fig. 3 shows the output voltage as a function of TX coil’s location for different radii of TX coils (all much larger than RX coil’s) with no IM coil present. It can be seen that for each distance ZRT , there is an optimized TX coil radius to achieve maximum Vout . Closer the distance ZRT , smaller the radius of TX coil for optimum transmission. As with 2 2 µ0 NTX RTX πRRX di magnetic dipole theory, when RTX À RRX , Vout = NRX 2(R 2 +Z 2 )3/2 dt . The behavior of Vout TX RT 3 as a function of ZRT follows the 1/ZRT law when ZRT À RTX , as expected. Figure 4 shows Vout vs. IM coil’s location for different IM radii, while TX and RX coils’ distance (ZRT ) were fixed at 70 mm and TX and RX radii were 44.5 mm and 0.6 mm, respectively. When there was no IM coil, the transmitted Vout was 10.8 mVpp; when the IM coil was introduced, Vout increased by a factor of 2 to 5 for different IM coil radii and location. For different IM coil location (ZRM ), there was an optimized IM coil radius to maximize Vout . Closer the IM coil to Figure 1: Schematic of coils transmitting and receiving inside/outside human brain with intermediate coil as power booster. Figure 2: Circuit diagram of three transmitting, receiving and intermediate coils. Figure 3: Output voltage vs. transmitting coil location (ZRT ) for two coils transmission with different transmitting coil radius. RRX was fixed at 0.6 mm. Figure 4: Output voltage vs. intermediate coil location (ZRM ) for three coils transmission with different intermediate coil radius. ZRT = ZRM + ZMT , and was fixed at 70 mm. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 391 the RX coil, smaller was its radius for optimized Vout , but the value was always between the radii of TX and RX coils. This can be explained noting that Vout is maximized when magnetic fluxes 2 2 2 2 µ0 IRRX NRX πRTX µ0 IRRX NRX πRIM (φ’s) are equal: φRT = 2(R = φRM = 2(R 2 +Z 2 )3/2 2 +Z 2 )3/2 . TX RT IM RM REFERENCES 1. Murari, K., et al., “Wireless multichannel integrated potentiostat for distributed neurotransmitter sensing,” Engineering in Medicine and Biology Society, 7329–7332, 2005. 2. Lenaerts, B. and R. Puers, Omnidirectional Inductive Powering for Biomedical Implants, Springer, 2009. 392 Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 Undesired Emission from Spiral Resonators for Coupled Resonant Wireless Power Transfer H. Hirayama, K. Komatsu, N. Kikuma, and K. Sakakibara Department of Computer Science and Engineering Nagoya Institute of Technology, Japan Abstract— Introduction: Wireless power transfer (WPT) technology is expected to realize ubiquitous power system. Since the WPT system handles power of kW order, it is necessary to assess undesired emission. Various kinds of resonators, such as helical coil or meander lines are possible for the WPT antenna. Spiral resonator has an advantage of low-profile structure. In this report, we discuss undesired emission from a spiral resonator. Consideration Model: Spiral antenna model in which transmitting(TX) and receiving(RX) antennas are set in the same direction is shown in Fig. 1(a). It was reported that arrangement of TX and RX antenna in opposite direction increases coupling coefficient [2]. Fig. 2(b) shows the reverse arranged model. A power source and load were connected to the port 1 and 2, respectively. The source and load impedance were 50 ohm. Results: S21 characteristics with respect to the transfer distance was calculated by method of moment (MoM). Although the self resonant frequency of the spiral antenna itself is 36.7 MHz, low-frequency and high-frequency resonances were caused because of a coupling [3]. S21 at the high-frequency mode is used in the Fig. 2. Transfer distance was extended by 19% by arranging antenna in reverse direction. Far-field radiation power can be calculated through a gain as an antenna, where both TX and RX spirals are considered as a TX antenna. Calculation result is shown in Fig. 3. Far-field radiation was decreased by 4.5 dB in high-frequency mode resonant. Conclusions: We show that transfer distance was extended by 19% and far-field radiation decreased by 4.5 dB by arranging spiral resonator in opposite direction. (a) (b) Figure 1: Consideration model. Figure 2: Distance characteristics of S21 . Figure 3: Gain as a TX antenna. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 393 REFERENCES 1. Kurs, A., A. Karalis, et al., “Wireless power transfer via strongly coupled magnetic resonances,” Science Magazine, Vol. 317, No. 5834, 83–86, 2007. 2. Awai, I., Nikkei Electronics, 11–14, 100–108, Nov. 2011. 3. Hirayama, H., et al., “A consideration of electromagnetic-resonant coupling mode in wireless power transmission,” IEICE ELEX, Vol. 6, No. 19, 1421–1425, Oct. 2009. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 394 Magnetostrictive Resonators for Wireless Energy Transfer Alexander Chernokalov1 , Mikhail Makurin1 , Nikolay Olyunin1 , Vladimir Arkhipenkov1 , Ki Young Kim2 , and Keum-Su Song2 1 2 Samsung Moscow Research Center, Russia Future IT Research Center, Samsung Advanced Institute of Technology, Yongin 446-712, Korea Abstract— Magnetostrictive resonators are proposed to be used for wireless energy transfer in the sub-MHz range. The operation in the sub-MHz frequency range is preferable for wireless energy transfer in the presence of lossy media: biological tissue, water, soil, conductive objects, and other. Low operating frequency allows reducing the losses in such media. One more issue in biological applications of wireless energy transfer is the EM field exposure level. The maximum permissible exposure levels for sub-MHz and MHz frequencies are less restrictive than for higher frequencies. Most of the resonators used for wireless energy transfer via magnetic field are coil-based. At the same time there exists a problem of designing a compact coil-based resonator with high Q-factor for sub-MHz frequency range. There are few ideas of non coil-based resonator design suitable for low frequencies [1, 2]. The idea closest to the proposed one is described in [2], where a magnetoelectric resonating device is used for energy transmission comprising of piezoelectric and magnetostrictive layers. There exist two problems with this approach: first the Q-factor of the resonator is reduced because of composite structure of the device, and second this device is difficult to match to a variable load. Instead of using a composite structure we propose to use a solid-state resonator composed of magnetostrictive material. The resonator is assumed to be biased by an external permanent magnet. The advantage of this approach is the intrinsically high Q-factor of the resonator (∼ 103 ). The mechanical energy of the resonator is converted to electric energy using a coil wound around the resonator, which plays a role of energy transducer. The coil is connected to a load. Optimal load resistance depends on the number of turns in the coil. Therefore we can match the device to a wide range of load resistances by changing the number of turns in the coil. REFERENCES 1. Cook, N. P., S. Dominiak, L. Sieber, and H. Widmer, “Transmitters and receivers for wireless energy transfer,” US Patent App., 12/211, 706, September 16, 2008. 2. Liu, Y., J. Simon, R. C. O’handley, and J. Huang, “Wireless transfer of information using magneto-electric devices,” US Patent App., 12/505, 151, July 17, 2009. Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 Resonant Structure Based on Bulk Acoustic Resonator (Metacapacitor) Pavel Turalchuk1 , Orest Vendik1 , Irina Vendik1 , Dmitry Kholodnyak1 , Ki Young Kim2 , and Keum-Su Song2 1 2 St. Petersburg Electrotechnical University, St. Petersburg 197376, Russia Future IT Research Center, Samsung Advanced Institute of Technology, Yongin 446-712, Korea Abstract— The resonant structure based on Bulk Acoustic Resonator (BAR) is a planar multilayer structure, comprising the conducting loop and the BAR structure. The BAR (metacapacitor) structure consists of a thin layer of the piezoelectric ceramics terminated in thin metal upper and lower electrodes. The metacapacitor structure is mounted on silicon substrates. In this case, the silicon is used as a dielectric substrate. On the both sides of the metacapacitor structure, the dielectric substrates are etched in the center in order to provide almost free acoustic boundary conditions. In this case, the metacapacitor structure provides a high-Q shear-wave bulk acoustic resonance excited between two electrodes. At the operating frequency the equivalent input impedance of the metacapacitor exhibits a capacitive reactance, which corresponds to the capacitor with a high value of capacitance. The high value of the capacitance of the metacapacitor in combination with a small inductance of the loop provides a resonant response of the advanced resonant structure at the desired frequency in the MHz frequency range. Conducting loop formed as a round strip is located on the upper dielectric layer of the metacapacitor. The loop edges are connected to the metacapacitor electrodes by means of metallized “via” interconnections. The designed miniature resonator exhibits a high value of capacitance and a high Q-factor. 395 396 Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 Adaptive Impedance Matching for Magnetically Coupled Resonators Benjamin H. Waters1 , Alanson P. Sample1, 2 , and Joshua R. Smith1, 2 1 2 Department of Electrical Engineering, University of Washington, USA Departments of Computer Science Engineering, University of Washington, USA Abstract— Wireless power technology using magnetically coupled resonators (MCRs) is becoming more prevalent in common applications including electric vehicle charging, consumer electronics, and implantable biomedical devices [1, 2]. These applications require a practical endto-end wireless power system that can achieve high efficiency for a volume of space and operate within the bandwidth limitations defined by wireless communication standards and regulations in various countries. To maximize efficiency at a single operating frequency for a volume of space (corresponding to a full range of coupling coefficients), the constant source impedance of a power amplifier must be matched to the variable impedance of the MCRs which changes as a function of the coupling coefficient between the transmit (TX) and receive (RX) resonators. Previous work has demonstrated wideband frequency tracking techniques that automatically tunes the operating frequency to maximize wireless power transfer efficiency [2]. However, frequency-tuning may violates the regulated frequency bandwidths where commercial wireless power systems can operate. A framework has been developed to accurately model any adaptive impedance matching (AIM) network in a high Q MCR wireless power system. AIM networks are critical blocks for these systems because maximum efficiency can be achieved for a full volume of space at a single operating frequency. First, a vector network analyzer (VNA) is used to extract S-parameters from a set of MCRs. After the admittance Y matrices for any AIM network has been defined, these S and Y matrices are converted into ABCD transmission matrices. A single ABCD matrix for the entire system can be defined by multiplying the cascaded ABCD matrices [3]. This system ABCD matrix is then converted back to an S matrix using complex termination impedances to match a source impedance (typically 50 Ω) to a defined load impedance [4]. Finally, a constrained non-linear optimization algorithm in Matlab extracts the circuit component values in each AIM network that maximize S21 for any range of coupling coefficients. To verify the algorithm, a low-pass π-match network has been implemented as the AIM network with the MCRs shown in Figure 1(a). Figure 1(b) shows the smith chart of S11 and Figure 1(c) shows |S21 |2 (efficiency) for two scenarios where 1) the MCRs are terminated in 50 Ω source and load impedances and 2) AIM networks are placed at both the TX and RX sides. The plot in Figure 1(c) also compares the efficiency at a single frequency to that of wideband frequency tuning. Since nearly all parasitics have been accounted for, these efficiencies are achievable at a single frequency for a full range of coupling coefficients between any TX and RX resonator. Therefore this tool can be used to design and accurately model a practical end-to-end wireless power system using any AIM network with any set of MCRs. (a) (b) (c) Figure 1: (a) Image of the TX and RX magnetically coupled resonators used for wireless power transfer. (b) Smith chart showing S11 for the actual set of MCRs terminated in 1) 50 Ω source and load impedances (blue circles) and 2) simulated TX and RX AIM π-match networks (red squares). (c) Plot comparing |S21 |2 for the actual set of MCRs using 1) frequency tuning (green circles), 2) 50 Ω termination impedances (blue x’s) and 3) TX and RX AIM π-match networks (red squares). Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012 397 REFERENCES 1. Waters, B. H., A. P. Sample, P. Bonde, and J. R. Smith, “Powering a ventricular assist device (VAD) with the free-range resonant electrical energy delivery (FREE-D) system,” Proceedings of the IEEE , Vol. 100, No. 1, 138–149, Jan. 2012. 2. Sample, A. P., D. Meyer, and J. R. Smith, “Analysis, experimental results, and range adaptation of magnetically coupled resonators for wireless power transfer,” IEEE Transactions on Industrial Electronics, Vol. 58, No. 2, 544–554, Feb. 2011. 3. Pozar, F. M., Microwave Engineering, Wiley, New York, 2004. 4. Frickey, D. A., “Conversions between S, Z, Y , h, ABCD, and T parameters which are valid for complex source and load impedances,” IEEE Transactions on Microwave Theory and Techniques, Vol. 42, No. 2, 205–211, Feb. 1994. 398 Progress In Electromagnetics Research Symposium Abstracts, Moscow, Russia, August 19–23, 2012