Universidad Politécnica de Catalunya Pontificia Universidad Católica del Perú Centre Tecnologic de Telecomunicacions de Catalunya Study of the efficiency of rectifying antenna systems for electromagnetic energy harvesting by Omar André Campana Escala A thesis submitted in partial fulfillment for the degree of Engineer in the Escola Tècnica Superior d‟Enginyeria de Telecomunicació de Barcelona Department de Teoría de Senyal i Comunicacions October 2010 Abstract The focus of this work is on wireless power transfer via electromagnetic radiation. An RF energy harvesting device consists of three primary subsystems. The first subsystem is the receiving antenna, which is responsible for capturing all of the RF energy that will later be used to power the integrated embedded system. The second main subsystem is the rectification circuitry, which efficiently converts the input RF power into DC output power. The third subsystem is a DC/DC converter (regulator), which is responsible for maintaining a constant output DC voltage suitable to power the electronic circuitry following the harvester for a wide range of input DC voltage variation. Each one of these three subsystems is integral to the operation of the entire harvester system. A 2.45 GHz electromagnetic energy harvester is proposed. The presented work consists of a) design and characterization of a circularly polarized aperture coupled patch antenna, b) performance study, optimization and prototype characterization of various diode rectifier circuits and c) design and implementation of an evaluation board for a commercial DC voltage regulator. ii Acknowledgments Primero quisiera referirme a mis padres porque siempre me mostraron todo su apoyo y preocupación por todo lo que hacía, en lo buenos y malos momentos que pude haber pasado estuvieron allí conmigo. El tiempo que pase alejado de ellos solo ha hecho que los valore aún más, sin duda son ustedes los que merecen toda mi gratitud. A los amigos y profesores que pude conocer gracias a lo largo de mi carrera de Telecomunicaciones, tanto en la Pontificia Universidad Católica del Perú como en la Universidad Politécnica de Catalunya, pero sobre todo a aquellos compañeros con los que tuve la oportunidad de viajar a Barcelona: Jesús, Renzo, Oscar, Bruce, Javier, César, Ronaldo, Gustavo, Gianfranco, Hugo y Jonathan. Fue muy importante el estar unidos en un lugar que era nuevo para nosotros. Muchas gracias por todo. Quisiera agradecer de manera especial a Nuttsy, una persona que es más que una amiga para mí, quien me manifestó todo su apoyo en todo momento a pesar de la distancia. Gracias Apostolos, mi director de proyecto, por toda la ayuda brindada durante la realización de este trabajo, he aprendido mucho durante la investigación y ha sido muy gratificante; gracias también a Selva Via y Ana Collado incondicional apoyo durante la implementación del proyecto. iii por mostrarme su Contents Abstract ii Acknowledgments iii List of Figures vi List of Tables viii 1. Introduction 1 1.1 General View 2. Background 3 5 2.1 The early history of power transmission by radio waves 5 2.2 The modern history of free-space power transmission 7 2.3 Survey of Existing Markets and Research 10 2.4 Previous Works with Rectenna 11 2.5 Electromagnetic Environment 12 3. Antenna 14 3.1 Verification of the Agilent ADS 3.1.1 Momentum Simulation 14 3.1.2 LineCalc Tool 15 3.2 Antenna Design iv 14 15 3.2.1 Circularly Polarized Antenna 15 3.2.2 Design Process 18 3.2.3 Antenna Measurements 21 4. Rectifier 28 4.1 Harmonic Balance 28 4.2 Impedance Matching Tool 28 4.3 Voltage multiplier 29 4.4 Rectifier design and optimization 30 4.5 Measurements 36 5. Regulator 41 5.1 TPS6120x device 41 5.2 Design Process 42 6. Conclusions and Future work 46 Bibliography 47 v List of Figures 1.1 Relative improvements in laptop computing technology from 1990–2003 1.2 Complete block diagram 2.1 Nikola Tesla in his Colorado Springs Laboratory which was constructed to experiment with radio waves for power transmission 2.2 MPT demonstration to helicopter with W.C. Brown 2.3 MPT Laboratory Experiment in 1975 by W.C. Brown 2.4 First Ground-to-Ground MPT Experiment in 1975 at the Venus Site of JPL Goldstone facility 2.5 Schematic of a rectenna and associated power management circuit 2.6 Diagram of various microwave power sources and their typical density levels 3.1 LineCalc tool 3.2 Illustration of Elliptical Polarization 3.3 CP antenna. Side View 3.4 CP antenna. Top View 3.5 Substrate 3.6 Antenna Layout 3.7 Antenna 3.8 S11 parameter 3.9 Measuring the antenna‟s S11 parameter with VNA 3.10 Comparison 3.11 Antenna 3D Radiation pattern 3.12 Anechoic chamber measurements 3.13 Receiving antenna 3.14 Transmission antenna 3.15 Axial Ratio simulation by ADS 3.16 Measured Axial Ratio at broadside 4.1 Basic matching scheme 4.2 Basic Rectifier 4.3 Voltage Doubler 4.4 Charge Pump Circuit vi 4.5 Schottky Diode 4.6 Half-wave rectifier 4.7 Full-wave rectifier 4.8 Diode and Capacitor equivalent circuits 4.9 Comparison between different rectifier orders 4.10 Comparison between different rectifiers based on Vout 4.11 Comparison between order 1 and order 2 based on efficiency 4.12 Comparison between order 1 and order 2 based on output voltage 4.13 Rectifier prototypes 4.14 One-diode rectifier S11 parameter 4.15 Two-diode rectifier S11 parameter 4.16 One-diode rectifier Output Voltage vs. Input Power 4.17 Two-diode rectifier Output Voltage vs. Input Power 4.18 One-diode rectifier Output Voltage from 2.3 GHz. to 2.6 GHz. with -20 dBm Input Power 4.19 Two-diode rectifier Output Voltage from 2.3 GHz. to 2.6 GHz. with -20 dBm Input Power 4.20 One-diode rectifier output Voltage from 2.3 GHz. to 2.6 GHz. with -10 dBm. 4.21 Two-diode rectifier output Voltage from 2.3 GHz. to 2.6 GHz. with -10 dBm. 5.1 Regulator Schematic 5.2 Regulator Circuit Layout Top view 5.3 Regulator Circuit Layout Bottom View 5.4 Regulator Circuit Top View 5.5 Regulator Circuit Bottom View vii List of Tables 2.1 Chronology of wireless power transmission demonstration and experiments 3.1 Substrate parameters utilized 3.2 Dimensions of the antenna 4.1 Villard Voltage Doubler Order 1 4.2 Villard Voltage Doubler Order 2 4.3 Optimized values for the Villard Voltage Doubler Order 1 4.4 Optimized values for the Villard Voltage Doubler Order 2 4.5 Final Values for the order one rectifier 4.6 Final Values for the two-diode rectifier 4.7 Efficiency 5.1 Recommended operating conditions 5.2 Regulator Components viii Chapter 1 Introduction Power, when talking about wireless communications, is a feature that is really important to take into account because of the influence it has on the autonomy, weight and size of portable devices. Therefore, energy harvesting techniques have been proposed to try to give solution to this problem: we can have a variety of alternative energy sources that are less harmful to the environment. This kind of environmental friendly energy sources include energy harvesting from rectennas, passive human power, wind energy and solar power. Power we can extract from those techniques is limited by regulations and freespace path loss. As a general idea, small dimensions are a basic feature of portable devices, so the rectenna should be the same way. Since we are talking about small sizes, the received power will be low. As a conclusion, we can say that wireless power transfer is better suitable for low-power applications, e.g., a low-power wireless sensor. The way technology advance every year allow the decrease of certain characteristics in digital systems, like size and power consumption, that will lead to the gain of new ways of computing and use of electronics, as an example we have wearable devices and wireless sensor networks. Currently, these devices are powered by batteries, however, they present many disadvantages such as: the need to either replace them or recharge them periodically and their big size and weight compared to high technology electronics. A solution proposed to this problem was stated before: to extract (harvest) energy from the environment to either recharge a battery, or even to directly power the electronic device. Fig.1.1 shows the improvements in technology comparing batteries with other devices. 1 Fig. 1.1 [1]. Harvesting wireless power techniques are mostly based on radio-frequency identification, or RFID. Basically, the transmission part sends RF signals that carries information to a chip to convert it to DC electricity to power the application. Then, a tag composed by an antenna and a microchip responds by sending back data about the object it is attached to. In order to be able to transfer power wirelessly an efficient rectenna is needed. Therefore, we present a rectenna design modeled with numerical analysis and harmonic balance simulation. This provides a good insight in the effect of the several parameters on the performance of the rectenna. RF Antenna AC 0.4V Rectifier 3.3V Regulator Fig. 1.2 Complete system block diagram. In Fig. 1.2 we can see how our system works: First, the antenna (a circularly polarized antenna) is in charge of capturing all the RF signals; then the rectifier circuit will “extract” the power from those signals and convert it in DC voltage efficiently. Finally 2 there is a regulator circuit capable of working with low input voltages which is desirable for this kind of project. Several operating frequencies for the rectenna have been investigated in the literature. Traditionally the 2.45 GHz Industrial Scientific and Medical (ISM) band has been utilized due to the presence of Wi-Fi networks; additionally the 5.8 GHz ISM band has also been considered which implies a smaller antenna aperture area than that of 2.45 GHz. Both frequency bands present similar advantages because they have comparably low atmospheric loss, cheap components availability, and high conversion efficiency. The frequency bands corresponding to mobile telephone systems such as 800 MHz, 900 MHz and 1800MHz also present good alternatives for electromagnetic energy harvesting systems, although they require a larger antenna size. A starting point is to ask ourselves if there is an efficient way to power active devices. Along the previous years, there have been some methods proposed and implemented: microwave power transmission [2, pp 87-89], bio-batteries [3, pp 25-28], RFID [4, pp 1-5], surface acoustic wave devices [5, pp 69-72], piezoelectric generators [6, pp 897904], differential-heat generators [7, pp 5/1-5/6], solar cells [8, pp 1199-1206], and so on. This work has two goals: (1) powering of low-power applications and (2) RF energy recycling. If we consider that the use of batteries has some disadvantages like the limited life period they have, plus the pollution generated from their disposal, it is very encouraging to think that if every wireless sensor in the world have the kind of power source presented in this work, it would be a great progress in the way we try to keep our planet clean. 1.1 General View This paper is organized as follows: Chapter 2 gives some information about previous work done in this area. 3 Chapter 3 describes the design, simulation results, measurements and fabrication of the antenna. Chapter 4 describes the design, simulation results, measurement and fabrication of the rectifier. Chapter 5 gives information about the last part of the system: Regulator Chapter 6 presents some conclusions and future work. 4 Chapter 2 Background 2.1 The early history of power transmission by radio waves Power transmission by radio waves dates back to the early work of Heinrich Hertz around 1880, who demonstrated the electromagnetic wave propagation in free space using parabolic reflectors at both ends (transmitting and receiving) of the system. In these terms, his experiments have many similarities to the work done in the present years. The prediction and evidence of the radio wave in the end of 19th century was the start point for wireless power transmission. Nicola Tesla suggested an idea of wireless power transmission (WPT) and started working on his first WPT experiment in 1899 [9][10]. He actually built a huge coil connected to a high mast of 200-ft with a 3 ft-diameter ball at its top. The amount of power needed to feed the Tesla coil was about 300 kW, it resonated at 150 kHz and the RF potential at the top sphere reached 100 MV. Unfortunately, he failed because all the transmitted power was diffused to all directions with 150 kHz radio waves whose wave length was 21 km. (Fig. 2.1) 5 Fig. 2.1 Nikola Tesla in his Colorado Springs Laboratory which was constructed to experiment with radio waves for power transmission. [11] After Tesla‟s experiment, researchers realized that efficient point-to-point transmission of power depended on concentrating the electromagnetic energy into a narrow beam [11]. The solution was to use RF signals of shorter wavelengths and to use optical reflectors. Unfortunately, by the first thirty-five years of the 20th century, those devices were not available to provide even a few milliwatts of energy at these wavelengths; neither sufficient power was available for experimental work in communication and radar systems. In the 1930s, great advance in generating high-power microwaves, 1-10 GHz radio waves, was achieved by the invention of the magnetron and the klystron, developed first in Great Britain. This made huge improvement in radar technology, however there was no immediate consideration to utilize this technology in power transmission, for this to play an important role, more than a decade had to pass after World War II. 6 2.2 The modern history of free-space power transmission The modem history of free-space power transmission is basically about the development of the technology of microwave power transmission and the experiments related to it. These ranged from the microwave-powered helicopter, to the solar-power satellite concept with microwave transmission to Earth. The variety of requirements of these proposed applications had an influence on the direction technology has taken. For example, the use of the 2.4–2.5 GHz band (ISM – Industrial, Scientific and Medical), although was originally used for experimental purposes, it‟s also a frequency where the efficiencies of the microwave components are very high. In the late 1950‟s many developments converged to make possible the efficient transmission of power wirelessly a reasonable concept [12]. A great contribution was done by Goubau, Schwering, and others that demonstrated that microwave power could be transmitted with efficiencies approaching 100% by a beam waveguide consisting of lenses or reflecting mirrors [9][17]. W.C. Brown started in the 1960s the first MPT (Microwave Power Transmission) research and development based on the technology won during the World War II. He introduced the term rectenna (rectifying antenna) and developed one. The efficiency of the first rectenna developed in 1963, working at the 2-3 GHz. band, was 50 % at output 4WDC and 40% at output 7WDC, respectively. With the rectenna, he succeeded in MPT experiments to wired helicopter in 1964 and to free-flied helicopter in 1968 (Fig. 2.2). 7 Fig. 2.2 MPT demonstration to helicopter with W. C. Brown. [11] In 1970s, he tried to increase the total efficiency with 2.45 GHz microwave. First, in 1970, overall DC-DC total efficiency was only 26.5 % at 39WDC in Marshall Space Flight Center. Then, in 1975, DC-DC total efficiency was finally 54 % at 495 WDC with magnetron in Raytheon Laboratory (Fig. 2.3). In parallel, He and his team succeeded in the largest MPT demonstration in 1975 at the Venus Site of JPL Goldstone Facility (Fig. 2.4). Fig. 2.3 MPT Laboratory Experiment in 1975 by W. Brown. [13] 8 Fig. 2.4 First Ground-to-Ground MPT Experiment in 1975 at the Venus Site of JPL Goldstone facility. [13] In the past decade, many useful wireless devices were introduced in the market. Nevertheless, their main disadvantage is the lack of autonomy they have due to their inability to work independent of centralized power sources for an infinite duration. As a result, wireless devices depend on the relatively slow advancements in rechargeable battery technology. Table 2.1 gives us a summary of all the events regarding important energy harvesting experiments and where they took place. Table 2.1 Chronology of wireless power transmission demonstrations and experiments. [2] Year Place Demonstration 1964 Massachusetts, U.S.A. Raytheon-Brown Microwave-powered helicopter 1969 Massachusetts, U.S.A. Beam-riding microwave Helicopter (Raytheon-Brown) 1974 Massachusetts, U.S.A. Raytheon Lab Demonstration of WPT Huntsville, Alaska, U.S.A. NASA Marshall Space Flight Center demo 1975 JPL-Goldstone DSN site Mojave Desert, U.S.A. 9 Goldstone Test 30 kW. Over 1 mile 1982 Massachusetts, U.S.A. Thin film etched-circuit rectenna achieves 1W/g 1983 Suborbital Launch from Kagoshima, MINIX Space Plasma Experiment Japan 1987 Canada SHARP first public demonstration flights 1991 Princeton, New Jersey, U.S.A. Rockwell/Sarnoff Microwave rover experiments at 5.86 GHz. 1992 Massachusetts, U.S.A. Brown, Raytheon 2.45 test rig demo in U.S. in preparation for ISU 92 1992 Kitakyushu, Japan Brown unit demonstrated on television in Kitakyushu Japan during ISU, Space Solar Power Program Design Project 1992 Japan MILAX Microwave Lifted Aircraft Experiment 1993 Suborbital Flight launched from ISY METS (Microwave Energy Kagoshima, Japan Transfer in Space) experiment Japan (ISU-U.S.A. rectenna flown) 1993 Huntsville, Alaska, U.S.A. Brown 2.45 GHz unit demonstrated at ISU 93 Summer Session 1993 Binghamton, New York, U.S.A. Brown 2.45 GHz. Unit demonstrated to New York State Electric and Gas Company 1993 Low Earth orbit (near Mir Space Station) Banner ground illumination experiment 1994 Institute for Space and Astronautical SPS 2000 scale model demonstration Sciences near Tokyo, Japan unit prepared by Nagamoto Kansai Region (Osaka, Japan) Kansai Electric ground to ground 1994 demonstration. 2.3 Survey of Existing Markets and Research Recently significant technological advances have been made towards maximizing the capability for autonomous operation of wireless devices. For example, recent advancements in rechargeable batteries and electric double‐layer capacitors, as well as technologies that harvest solar energy and exploit the piezoelectric effect have been effective at satisfying a large portion of the established market need. 10 To explain in more detail the issue about the batteries we can say that, rechargeable battery capacity has been increasing by approximately 6% per year [15] and, as a result, wireless devices have more time to operate without being re‐energized. However, this is only a temporary solution to the real problem. That‟s why those products that solely exploit improvements in battery life still present autonomy restrictions for wireless applications. Solar power technology has also become a viable solution for many industrial, commercial, and military applications. Nonetheless, at the current level of technology, solar power provides an inadequate solution for many wireless devices, for example: the solar cell‟s location relative to the sun, time of operation, and weather conditions, as well as the relatively high price per watt of power and solar cells [15]. One interesting technology, which has been researched recently, has to do with piezoelectric energy harvesting devices [15]. This technology exploits certain materials‟ ability to induce an electric potential after the application of a mechanical force. For example, to take advantage of applied pressure to a human kneecap during normal movement and use this mechanical motion to induce an electric potential. Many mechanical systems inherently create vibrational motion during operation, and consequently, this energy could be harvested. 2.4 Previous works with Rectenna The word “rectenna” is the result of joining “rectifying circuit” and “antenna” and was invented by W. C. Brown in 1960‟s [9][11]. The rectenna is a passive element with a diode that can receive and rectify microwave power to DC, therefore it can operate without any power source. There are many published research works related to rectenna elements. The antenna can be any type such as dipole[11][17], Yagi-Uda antenna[24][25], microstrip antenna[26][27], monopole[28], loop antenna[29][24], coplanar patch[31], spiral antenna[32], or even parabolic antenna[33]. The rectenna can also take any type of rectifying circuit such as single shunt full-wave rectifier[34][45][36][37][38][39][40], full-wave bridge rectifier[41][42][43][40], or other hybrid rectifiers[26]. The circuit, especially the diode, determines the RF-DC 11 conversion efficiency. Silicon Schottky barrier diodes were usually used for the previous rectennas. New diode devices like SiC and GaN are expected to increase the efficiency. The rectennas with FET[44] or HEMT[45] appear in recent years. The world record of the RF-DC conversion efficiency among developed rectennas is approximately 90% at 4W input of 2.45 GHz microwave [41]. Other rectennas in the world have approximately 70 – 90 % at 2.45GHz or 5.8GHz microwave input. Fig. 2.5 Schematic of a rectenna [46] Fig. 2.6 Diagram of various microwave power sources and their typical power density levels. [47] 2.5 Electromagnetic Environment There are several distinct scenarios for wireless powering, and the specific design is highly dependent on the incident waves that carry the energy: In the case of one or more high-directivity narrowband with Line of Sight transmitters, fixed polarizations and power level, the efficiency of the rectenna can be very high. 12 In the case of one or more medium-power and semi-directional transmitters. The transmitters can be single-frequency, multiple frequency or broadband. Unknown transmitters over a range of frequencies, power levels, generally unpolarized, with varying low-level spatial power densities. The incident power density on the rectenna, S (θ ,φ ,f ,t) , is a function of incident angles, and can vary over the spectrum and in time. The effective area Aeff (θ, φ, f), will be different at different frequencies, for different incident polarizations and incident angles. The average RF power over a range of frequencies at any instant in time is given by: 1 PRF (t ) f high f low f high 4 S ( , , f , t ) A eff ( , , f )ddf f low 0 Where is the solid angle in steradians and S (, f , t ) is the time-varying frequency and angle-dependent incident power density. Aeff is the angle-, frequency-, and polarization-dependent effective area of the antenna. The DC power for a single frequency ( fi ) input RF power, is given by: PDC ( f i ) PRF ( f i ,t ).[ PRF ( f i , t ), , Z DC ] where is the conversion efficiency, and depends on the impedance match ( PRF , f ) between the antenna and the rectifier circuit, as well as the DC load impedance. The reflection coefficient in turn is a nonlinear function of power and frequency. 13 Chapter 3 Antenna 3.1 Verification of the Agilent ADS tools 3.1.1 Momentum Simulation Agilent Momentum is based on the Method-of-Moments (MoM) which is a numerical method to solve Maxwell‟s equations for planar structures in multilayer dielectric substrates [57]. The conducting surfaces of a given antenna structure are meshed into different cells and the currents flowing on them are discretized and expanded in a set of basic functions according to the mesh structure and subsequently determined numerically. In addition to simulating antenna structures, this type of simulation is used to accurately determine the electromagnetic behavior of planar transmission lines and interconnects. Compared to a circuit simulator such as Agilent S-parameter simulator, it additionally accounts for radiation, as well as coupling among adjacent circuit components. In the simplest case, the basic functions are rectangular approximations to the Dirac delta function. Because the widths of the rectangular sections are non-zero, only a finite (reasonably small) number of them are needed to cover the antenna wire structure. The next more complicated basis functions are triangular in shape. This gives a smoother approximation to the current distribution, in which the current distribution is piecewiselinear between the matching points. In general, the “n-th moment” is obtained by integrating the product of the Green‟s function with the n-th basis function. 14 3.1.2 LineCalc Tool The dimensions of the various transmission lines used in the antenna and rectenna design were obtained using the tool LineCalc of Agilent ADS. Given the physical dimensions and material properties, LineCalc accurately computes Z 0 and r ,e for microstrip as well as for a large number of other planar waveguides. Conversely, it can synthesize a land width given the other parameters such as Z 0 , d , t , r and frequency. An example of the graphical interface of LineCalc is shown in Fig. 3.1. Fig. 3.1 Graphical interface of “LineCalc” tool of Agilent ADS. 3.2 Antenna Design 3.2.1 Circularly Polarized Antenna [54] The energy radiated by any antenna is contained in a transverse electromagnetic wave that is comprised of an electric and a magnetic field. These fields are always orthogonal to one another and orthogonal to the direction of propagation. The electric field of the electromagnetic wave is used to describe its polarization and hence, the polarization of the antenna. 15 In general, all electromagnetic waves are elliptically polarized meaning that the total electric field of the wave is comprised of two linear components, which are orthogonal to one another and have different magnitude and phase. At any fixed point along the direction of propagation, the total electric field would trace out an ellipse as a function of time. This concept is illustrated in Fig. 3.2, where, at any instant in time, Ex is the component of the electric field in the x-direction and Ey is the component of the electric field in the y-direction. The total electric field E, is the vector sum of Ex plus Ey. Keeping Fig. 3.2 in mind, we can define Axial Ratio as the ratio of the magnitude of the orthogonal components of an E-field. A circularly polarized field is made up of two orthogonal E-field components of equal amplitude (and 90º out of phase). Because the components are equal magnitude, the axial ratio is 1 (or 0 dB). The axial ratio for an ellipse is larger than 1 (>0 dB). The axial ratio for pure linear polarization is infinite, because the orthogonal component of the field is zero. Fig. 3.2 Illustration of Elliptical Polarization Circularly Polarized (CP) antennas have shown great advantages in many areas, but the main benefit of using CP antennas is that the transmitter and the receiver don‟t have to be strictly aligned. .A circularly polarized wave radiates energy in the horizontal, vertical planes as well as every plane in between. If the rotation is clockwise, the sense is called right-hand-circular (RHC). If the rotation is counterclockwise, the sense is called left–hand-circular (LHC). Some of the advantages this kind of polarization can give us are: 16 Reflectivity: Radio signals are reflected or absorbed depending on the material they come in contact with. Because linear polarized antennas are able to transmit or receive only in one plane, if the reflected signal is not precisely in the same plane, that signal will be lost. Since circular polarized antennas send and receive in all planes, the signal is transferred to a different plane. Absorption: RF signals from different planes are absorbed differently depending on the type of material being struck. Because it transmits on all planes, a CP antenna has a higher probability of penetration to deliver a successful, stable link. Phasing Issues: High-frequency systems (i.e. 2.4 GHz and higher) that use linear polarization typically require a clear line of sight path so they can avoid obstructions that may generate reflected signals, which weaken the propagating signal. Reflected linear signals return to the propagating antenna in the opposite phase, thereby weakening the propagating signal. On the other hand, in circularly-polarized systems the reflected signal is returned in the opposite orientation, largely avoiding conflict with the propagating signal. Multi-path: Multi-path is caused when the primary signal and the reflected signal reach a receiver at nearly the same time. This creates an “out of phase” problem. The receiving radio must spend its resources to distinguish, sort out, and process the proper signal, thus degrading performance and speed. Circularly polarized antennas respond equally to all linearly polarized signals, regardless of the phase of polarization. Inclement Weather: Rain and snow cause a microcosm of conditions explained above (i.e. reflectivity, absorption, phasing, multi-path and line of sight) Circular polarization is more resistant to signal degradation due to inclement weather conditions for all the reason stated above. Line-of-Sight: When a line-of-sight path is impaired by light obstructions (i.e. foliage or small buildings), circular polarization is much more effective than linear polarization for establishing and maintaining communication links. Once again, this is due to the CP signal being transmitted on all planes, providing an increased likelihood that the signal will not be adversely impacted by obstructions and other environmental conditions. 17 3.2.2 Design Process This antenna was proposed by Wang and Chang in [51]. The CP circular patch antenna is composed of three layers. The side and top view of the antenna are shown in Fig. 3.3 and Fig. 3.4 respectively. The first (bottom) substrate layer contains the antenna feed line. A slot is etched on the metal layer between the feed and foam layers with a 45º orientation relative to the feed line (Fig. 3.4). The second substrate layer is a foam layer that let us have a distance between the two substrate layers (the feed circuit and the radiation patch). The length of the slot helps us adjust the matching between the feed network and the radiation patch. The third substrate layer contains a circular patch which is perturbed by a slot and two stubs. The slot and stubs on the patch, and the 45º aperture are utilized to optimize the axial ratio of the CP patch antenna. The objective is to design an antenna centered at 2.45 GHz with a bandwidth that covers the 2.4GHz2.4835GHz ISM band. Fig. 3.3 CP antenna. Side View [51] Fig. 3.4 CP antenna. Top View [51] Before simulating, we have to define some substrate properties. Layers should follow a certain order like indicated in Fig. 3.3 and reproduced in ADS momentum in Fig. 3.5. 18 Also, there are some values that must be set; these correspond to the materials. Table 3.1 summarizes these parameters. Table 3.1 Substrate parameters utilized Arlon 25N (A25N) Rohacell51 Permittivity (Er) 3.38 1.05 Loss Tagent (TanD) 0.0025 0.0008 Substrate Thickness (H) 0.508 mm 3 mm (width) Conductivity (cupper) 5.813∙107 - The design was done with the idea exposed before and was made with a trial and error method, the dimensions of every part of the antenna where changed to optimize the final results. In the end, we obtained the dimensions shown in Table 3.2. Table 3.2 Dimensions of the antenna Circular Patch (diameter) 48.9722 mm Stubs (length / width) 3.9764 mm / 3.5 mm Slot (length / width) 14.6345 mm / 3 mm 3 Foam layers 114 mm / 94.20 mm Aperture (length / width ) 1 mm / 40.0222 mm Feed Line Stub (length / width ) 49.8002 mm / 1.1 mm Fig. 3.6 shows final view of the antenna‟s design made with Agilent Momentum. An antenna prototype was built and is illustrated in Fig. 3.7. The last paragraph of this section contains the measured and simulated performance of the antenna. 19 Fig. 3.5 Fig. 3.6 Antenna Layout 20 Fig. 3.7 Antenna 3.2.3 Antenna Measurements The simulated impedance bandwidth of the antenna extended from 2.3 GHz to 2.72 GHz (16.73%). The result is shown in Fig. 3.8. In Fig. 3.8(a) one can see that the antenna S-Parameters present a minimum value at 2.462 GHz. which is close to 2.45 GHz. The Smith chart plot of Fig. 3.8(b) shows a small and tight loop demonstrating the resonance of the antenna at the desired frequency of 2.45 GHz. The antenna S-parameters were measured using a vector network analyzer (VNA), shown in Fig. 3.9. (a) 21 (b) Fig. 3.8 Fig. 3.9 Measuring the antenna‟s S11 parameter with VNA The simulated and measured results are compared in Fig. 3.10. The measured results (blue graphic) show that the central frequency has shifted a little bit to the left in comparison with the simulated results (red), but there is still a good agreement between measurements and simulations. 22 Fig. 3.10 Comparison Fig. 3.11 (a) and (b) show the 3D radiation pattern by Agilent Momentum for the designed antenna at 2.44GHz. (a) 23 (b) Fig. 3.11 To measure the antenna axial ratio we need to use a special method since we want to measure a circularly polarized antenna. In the anechoic chamber we have a dual linearly polarized transmitting antenna (Fig. 3.12 – Fig. 3.14). It is possible to generate a circularly polarized wave with the dual linearly polarized antenna using a 90º hybrid in order to generate the required 90° phase shift between the two orthogonal polarizations. Due to lack of required components we were unable to perform this measurement. But, it is possible to evaluate the performance of our circularly polarized antenna by employing a spinning linearly polarized antenna as the transmit antenna in the anechoic chamber. In our case it was only possible to rotate the test (receive) antenna (0º, 30º, 60º, etc) and therefore we were not able to obtain spinning radiation patterns either. However, by rotating the test antenna relative to the linearly polarized broadband transmit antenna while it is directed at broadside we are able to estimate the Axial Ratio at broadside. In Fig. 3.12 we show how the measurements in the anechoic chamber were done. 24 θ Transmission antenna Broadside Fig. 3.12 Anechoic Chamber measurements Fig. 3.13 Receiving antenna Fig. 3.14 Transmission antenna 25 Receiving antenna According to the ADS simulation, the Axial Ratio is less than 3dB between 2.4 GHz and 2.5 GHz. This means that our antenna would receive either vertical or horizontal polarization 12 Axial Ratio (dB) 10 10,03 8,618 8 7,84 7,202 6,996 6,1 5,798 6 5,148 4,414 4 4,141 3,058 3,077 1,957 1,74 2 0,787 0,478 0 2,3 2,32 2,34 2,36 2,38 2,4 2,42 2,44 2,46 2,48 2,5 2,52 2,54 2,56 2,58 2,6 Frequency (GHz) Fig. 3.15 Axial Ratio simulations by ADS The following plot (Fig. 3.16) shows the measured received power at broadside at 2.45 GHz, after rotating our antenna in the anechoic chamber. The observed ripple of approximately 2dB corresponds to the axial ratio at broadside. The measured value is larger than the one obtained in the simulation, but still is acceptable since is below 3dB. -49,5 Power Received (dBm) -50 0 30 60 90 120 150 180 210 240 270 300 330 -50,5 -51 -51,5 -52 -52,5 -53 -53,5 Phi Angle Fig. 3.16 Measured Received power at broadside rotating the antenna under test relative to the transmit antenna. The ripple corresponds to the Axial Ratio 26 Chapter 4 Rectifier At low RF frequencies (KHz. to low MHz.), both p-n diodes and transistors are used as rectifiers. At microwaves (1 GHz and higher), Schottky diodes (GaAs or Si) with shorter transit times are required. 4.1 Harmonic Balance Simulation Harmonic balance simulation is ideal for situations where transient simulation methods are problematic. These are: Components modeled in frequency domain, for instance (dispersive) transmission lines. Circuit time constants large compared to period of simulation frequency. Circuits with lots of reactive components. Harmonic balance methods, therefore, are the best choice for most microwave circuits since these are most naturally handled in the frequency domain. What this kind of simulation does is obtained frequency domain voltages and currents calculating directly the steady-state solution. 4.2 Impedance Matching Tool Impedance matching is the practice of designing the input impedance of an electrical load or the output impedance of its corresponding signal source in order to maximize the power transfer and minimize reflections from the load. Matching can be obtained when the source impedance and the load impedance have the following relation: 27 Zs ZL where * indicates the complex conjugate. ADS‟ impedance matching tool lets us design a matching network from a given circuit. This way by simulating this circuit and by extracting its S-parameters, the software can give us different solutions which differ, between each other, on the number of components that are necessary to match the circuit. We selected the solution that consists in two inductors (Fig. 4.1): Fig. 4.1 Basic matching scheme These two inductors represent the matching network for the circuit, and the value of each one will be slightly different according to the type of rectifier we used. This will be examined with more details in the next paragraphs. 4.3 Voltage Multiplier A voltage multiplier or charge pump circuit is a circuit that takes advantage of the diode‟s behavior to „rectify‟ a signal; depending on the signal level, the diode allows or does not allow the current to pass. In addition to the diode a voltage multiplier circuit uses one or more capacitors that keep the output signal at the same level while the diode is functioning as an open circuit. The simplest voltage multiplier consists of a parallel (or series) and a series (or parallel) capacitor. The circuit schematic of a rectifier using a series diode is shown in Figure 28 4.12. A rectifier using a series connected capacitor followed by a parallel connected diode is shown as Villard Fig. 4.2 Basic Rectifier. A voltage doubler circuit uses two diodes and two capacitors (Fig. 4.3). Fig. 4.3 A voltage Doubler. Additional sections of diodes and capacitors may be cascaded in order to obtain voltage multiplier circuits of higher order (Fig. 4.4) Fig. 4.4 A charge pump circuit (voltage multiplier) 29 4.4 Rectifier design and Optimization In order to design a rectifier circuit we need to consider two things: (1) the rectifier design and (2) the matching network. The diode we decided to use is a schottky diode fabricated by Skyworks: SMS7630-079 in a package SOT-143. This package carries 2 unconnected diodes inside. Fig. 4.5 Schottky Doide [55] We simulated a total of six rectifiers. The first circuit that was studied was the halfwave rectifier of Fig. 4.2 using a series diode. In addition five rectifiers corresponding to the cascaded structure of Fig. 4.4 were simulated, where each rectifier corresponds to a different voltage multiplier order (number of diodes). The objective is to compare all of them in terms of the output voltage and RF-to-DC conversion efficiency. The RF-toDC conversion efficiency is evaluated as PDC V DC RL 2 PDC 100 PRF where RL is the load resistance at the output of the rectifier, and PRF is the available power at the input of the rectifier. 30 The design procedure consists of a harmonic balance optimization where the rectifier circuit capacitor(s), the output load resistor and the matching network were the optimization variables and maximizing the efficiency , the optimization objective. Specifically an L-matching section was used consisting of a series and a shunt inductor as shown in Fig 4.1. Fig. 4.6 Half-wave rectifier circuit schematic Fig. 4.7 Full-wave rectifier circuit schematic Fig. 4.6 and Fig. 4.7 show the circuit schematics used to design and optimize the rectifier circuits corresponding to Fig. 4.2 and Fig. 4.3 respectively. Parasitic components were included in the diode and capacitor models to include the effect of their package as suggested by the part manufacturers and shown in Fig. 4.8. The circuit block shown in red in Fig. 4.6 and Fig. 4.7 after the input voltage source contains the matching circuit of Fig. 4.1. 31 (a) (b) Fig. 4.8 Diode and Capacitor‟s equivalent circuits For each circuit under consideration the optimization was performed for an input RF signal power of -20 dBm. The obtained efficiency and output voltage for the various rectifiers versus the input power are shown in Fig. 4.9 and Fig. 4.10. It should be noted that the rectifier of order one in the above Figs. corresponds to the series diode rectifier of Fig. 4.1. The parallel diode rectifier of order one showed lower efficiency and was not included in the plots. It is seen that efficiency increases with input power up to a maximum value and it then decreases for higher input power values. This is attributed mainly to the fact that as the input power increases the input impedance of the rectifier changes and reflection losses 32 eventually become significant. The rectifier of order one has the higher efficiency for low input power levels. On the other hand, the rectifiers of higher order result in a higher output voltage, although the difference is not very large for low input power values. It should be noted however that this comparison is not fair due to the fact that each rectifier uses a different output load resistor, as it was optimized to correspond to maximum efficiency at -20 Efficiency (%) dBm. input power. 50 45 40 35 30 25 20 15 10 5 0 Orden 1 Orden 2 Orden 3 Orden 4 Orden 5 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 Pin (dBm) Fig. 4.9 Comparison between different rectifier orders based on the efficiency 5 4,5 Vout (Voltios) 4 3,5 3 Orden 1 2,5 Orden 2 2 Orden 3 1,5 Orden 4 1 Orden 5 0,5 0 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 Pin (dBm) Fig. 4.10 Comparison between different rectifier orders based on the Output voltage We then selected two rectifiers demonstrating the highest efficiency corresponding to order 1 (Fig. 4.2) and order 2 (Fig. 4.3) and re-optimized the circuits to include the 33 effect of the layout. This was achieved by simulating in ADS Momentum the effect of the various microstrip pads and ground vias. In addition, the input source impedance was changed from 50 Ohms to the simulated impedance of the designed antenna. This was achieved by including in the harmonic balance simulation an S-parameter file corresponding to the antenna return loss simulated from DC to 7.5 GHz in ADS Momentum. Tables 4.1 and 4.2 contain the optimization results for the rectifier circuit components, for different input power levels. Table 4.1 Rcetifier Order 1 Pin (dBm) RL (kΩ) L2 (nH) L1 (nH) -20 5,33038 7,2412 0,72624 3.34223 35,968 -10 4,22037 7.41773 0.906919 3.81323 61,77 0 0,758342 6.57248 2.29254 2.98619 66,312 10 0,1 3,89 49,9836 3.89 30,525 C_uni (pF) Nav (%) Table 4.2 Rectifier Order 2 Pin (dBm) RL (kΩ) L2 (nH) L1 (nH) C_uni (pF) Cs (pF) Nav (%) -20 9.81 1.21783 0.3965 2.9678 39.97 22,792 -10 7.4125 1.44766 0.4983 2,06348 12.9256 47,870 0 3.16 0.99 1.2127 1.85 49 65,073 10 0.25 0.1 3.26 0.76 6.83 42.6 It is seen that the required circuit component values in order to obtain a maximum efficiency are similar for input powers -20 dBm and -10 dBm, but change significantly as the input power increases. This essentially reflects the fact that the input impedance of the rectifier has a strong dependence on the input power as the power increases. Table 4.3 and Table 4.4, show the simulated optimum efficiency values for the rectifiers for a given input power, after the component values were truncated to standard values provided by manufacturers. 34 Table 4.3 Rectifier Order 1 Pin (dBm) RL (kΩ) L2 (nH) L1 (nH) -20 4.7 7.3 1.2 3.6 27.315 -10 4.7 7.3 1.2 3.6 58.428 C_uni (pF) Nav (%) Table 4.4 Rectifier Order 2 Pin (dBm) RL (kΩ) L2 (nH) L1 (nH) C_uni (pF) Cs (pF) Nav (%) -20 8.6 1.2 1 2.5 35 22.679 -10 7.3 1.2 1 2.5 35 47,083 After selecting the component values of Table 4.3 and 4.4 corresponding to an input power of -20 dBm and -10 dBm (simultaneously) , the efficiency and DC output voltage of the rectifiers produced by sweeping the input power is plotted in Fig. 4.11 and 4.12 verifying that at low input powers the rectifier of order 1 has a better performance than the one of order 2. Figures 4.11 and 4.12 are optimized for the lowest input power (in this case is -20dBm) that is why the values are slightly different of those from tables 4.3 and 4.4 Efficiency (%) 70 60 50 40 30 Order 1 20 Order 2 10 0 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 Pin (dBm) Fig. 4.11 Comparison between order1 and order 2 based on efficiency 35 2 1,8 1,6 Vout (V) 1,4 1,2 1 0,8 Order 1 0,6 Order 2 0,4 0,2 0 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 Pin (dBm) Fig. 4.12 Comparison between order 1 and order 2 based on output voltage 4.5 Measurements Two prototypes corresponding to the rectifiers of order 1 and order 2 were built as shown in Fig. 4.13. (a) (b) Fig 4.13 Rectifier prototypes: (a) order 1, (b) order 2. 36 The two circuits were initially populated with the components indicated in Table 4.3 and Table 4.4 corresponding to -20 dBm input power, however it was necessary to adjust the final values in the laboratory in order to achieve a good input matching. Table 4.5 and Table 4.6 show the final values that were used in the prototypes and Fig. 4.13 and Fig. 4.14 the corresponding measured S-parameters. Table 4.5 Final Values for the one-diode rectifier Voltage Doubler Order 1 RL (kΩ) L2 (nH) L1 (nH) C_uni pF) 5.6 4.3 1.2 3.3 Fig. 4.14 One-diode rectifier S11 parameter Table 4.6 Final Values for the two-diode rectifier Voltage Doubler Order 2 RL (kΩ) L2 (nH) L1 (nH) C_uni (pF) Cs (pF) 8.2 0.4 0.3 3.3 35 Fig. 4.15 Two-diode rectifier S11 parameter 37 The performance of the prototypes was evaluated by measuring the DC output voltage of the two rectifier circuits under the following three conditions: Increasing the input power from -20 dBm to 2 dBm at 2.44GHz. Maintaining the input power at -20 dBm we sweep from 2.30 GHz. to 2.6 GHz. Maintaining the input power at -10 dBm we sweep from 2.30 GHz. to 2.6 GHz The results are shown in Fig. 4.15 – Fig. 4.20. 2500 2117 Vout (mV) 2000 1700 1500 1300 984 1000 500 78,4 116,6 149 230,2 -20 -16 -14 318 441 568 725 0 -18 -12 -10 -8 -6 -4 -2 0 2 Pin (dBm) Vout (mV) Fig. 4.16 One-diode rectifier Output Voltage vs. Input Power 2000 1800 1600 1400 1200 1000 800 600 400 200 0 1898 1530 1202 948,2 711 563,8 90 127 177 239,4 -20 -18 -16 -14 318,2 -12 425,7 -10 -8 -6 -4 Pin (dBm) Fig. 4.17 Two-diode rectifier Output Voltage vs. Input Power 38 -2 0 2 120 100 86,8 93,7 101,4 100,3 94,4 93,4 97,3 96,6 88,6 84,1 85 82,8 72,5 Vout (mV) 80 62,3 58,8 59,6 60 40 20 0 2,3 2,32 2,34 2,36 2,38 2,4 2,42 2,44 2,46 2,48 2,5 2,52 2,54 2,56 2,58 2,6 Frecuencia (GHz) Fig. 4.18 One-diode rectifier Output Voltage from 2.3 GHz. to 2.6 GHz. with -20 dBm Input Power 120 100 Vout (mV) 80 87,5 93,6 100 104,4 97,2 91,5 80 78 79,9 80,2 80,8 78,6 68,6 57,7 60 51,7 50,7 40 20 0 2,3 2,32 2,34 2,36 2,38 2,4 2,42 2,44 2,46 2,48 2,5 2,52 2,54 2,56 2,58 2,6 Frecuency (GHz) Vout (mV) Fig. 4.19 Two-diode rectifier Output Voltage from 2.3 GHz. to 2.6 GHz. with -20 dBm Input Power 500 423,6 430 417,2409,6427,6441,1427,6 414 415,3410,2 450 388,8 380 400 362,8 344 327 323,8 350 300 250 200 150 100 50 0 2,3 2,32 2,34 2,36 2,38 2,4 2,42 2,44 2,46 2,48 2,5 2,52 2,54 2,56 2,58 2,6 Frecuencia (GHz) Fig. 4.20 One-diode rectifier output Voltage from 2.3 GHz. to 2.6 GHz. with -10 dBm. 39 600 Vout (mV) 500 501,6 495 476,6 474 443,3 436 434 450 457 458 451 419 423 372 400 343 335 300 200 100 0 2,3 2,32 2,34 2,36 2,38 2,4 2,42 2,44 2,46 2,48 2,5 2,52 2,54 2,56 2,58 2,6 Frecuencia (GHz) Fig. 4.21 Two-diode rectifier output Voltage from 2.3 GHz. to 2.6 GHz. with -10 dBm. Finally, the rectifier efficiency was measured, using the input power, output voltage and load resistor values. The results are indicated in Table 4.7. Table 4.7 Efficiency at 2.45 GHz. Rectifier Order 1 Order 2 PRF (dBm) Vout (mV) η (%) -20 78.4 12.19 -10 441 38.58 0 1700 46.44 -20 90 10.09 -10 425.7 24.47 0 1530 31.71 The measured results confirm the fact that the rectifier circuit using a single diode shows the best performance, however the measured efficiency values are less than the simulated ones of Table 4.3 and Table 4.4. The reason is attributed to additional losses due to the prototype manufacturing, component yield variations and an inaccurate estimation of the diode and lumped component parasitics which resulted in the need to adjust the rectifier matching circuits in the laboratory. 40 Chapter 5 Regulator The objective of this chapter is to design a test-board for the Texas Instruments regulator circuit, to be subsequently used following the rectifier. Based on the component datasheet and following the manufacturer recommendations a circuit board was designed using the layout features of ADS Momentum. A prototype was built and its performance was verified in the laboratory. 5.1.1 Integrated Circuit TPS6120x A TPS6120x is an alternative solution for products that are powered by a single-cell, two-cell, or three-cell alkaline, NiCd or NiMH, or one-cell Li-Ion or Li-polymer battery. When there is a low current flowing through the chip, it enters the Power Save mode, which can also be disable. The maximum average input current is limited to a value of 1500 mA and the output voltage can be chosen from 1.8 V to 5 V. The device is packaged in a 10-pin QFN PowerPAD™ package (DRC) measuring 3 mm x 3 mm. Table 5.1 Recommended operating conditions [53] MIN NOM MAX UNIT VSS Supply Voltage at Vin 0.3 5.5 V TA Operating free air temperature range -40 85 ºC TJ Operating virtual junction temperature range -40 125 ºC 41 5.1.2 Design Process As for all switching power supplies, the layout is an important step in the design, especially at high peak currents and high switching frequencies. If the layout is not carefully done, the regulator could show stability problems as well as EMI problems. Therefore, we will use wide and short traces for the main current path and for the power ground tracks. The input and output capacitor, as well as the inductor should be placed as close as possible to the IC. The schematic recommended by Texas Instruments is the following (Fig. 5.1). Fig. 5.1 Regulator Schematic [53] 42 All the components that appear in the previous schematic have specific values to make the chip work. Table 5.2 Regulator Components Component Value Size C1 10 uF 0603 C2, C3 0.1 uF 0603 C4 Open - C5, C6 10 uF 0603 L1 2.2 uH 0.118 x 0.118 R1 91 Ω 0603 R2 0Ω - R3 Open - R4 1 MΩ 0603 R5 178 kΩ 0603 Now that we have the size of all the components we can design the board layout. It‟s important to remember that since the regulator works in DC we don‟t have to worry about the effect of the strips and pads in the layout. Fig. 5.2 Regulator Circuit Layout Top view 43 Fig. 5.3 Regulator Circuit Layout Bottom View After designing the regulator layout (Fig. 5.2 and 5.3) we are ready to solder all the components we listed in table 5.2The final prototype is shown in Fig. 5.4 and 5.5 Fig.. 5.4 Regulator Circuit Top View 44 Fig. 5.5 Regulator Circuit Bottom View After testing the circuit we confirmed the operation of the regulator as described in the datasheet. Based on the chosen component values a 3.3 Volt regulated output voltage was expected. The regulator chip starts producing the desired output voltage when the input voltage rises to 400 mV. Due to hysteresis phenomena, the regulator operated until the input voltage decreased to 250 mV. 45 Chapter 6 Conclusions and Future Work There are some important conclusions we can point out: The rectifier with the consisting of a series connected diode demonstrated the highest efficiency for low input power densities of -20 dBm to -10 dBm. Moreover, the efficiency of all rectifier circuits increases for higher input power values. Finally, the use of circularly polarized antennas helps capture ambient electromagnetic waves with arbitrary polarization. Our system has proved to be an RF recycler that could be very useful in indoor applications like wireless sensors. Future work that can be done following this project is to design a UWB rectenna or multi-band rectenna. 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