Quad-Band Rectenna for RF Energy Harvesting System

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Introduction
The big evolution in the wireless technology made self-sufficiency devices suitable for the RF energy harvester [1] [2].Despite the evolution in wireless tech-D.Elsheakh et al. nology, the surrounding RF power density is tiny, so the harvester efficiency gets small [3].Radio frequency (RF) energy harvesting is a growing topic of research in R&D environments due to the ever increase of wireless devices in recent technologies.RF energy harvesting circuits seek to capture ambient RF energy by means of a receiving antenna, which then converted to usable DC power [4].
Processing the RF signal will be accomplished by developing the circuitry necessary to filter the incoming RF signal and convert it to DC [5].The main process of RF energy harvesting depends on two important points: the receiving antenna, or RF collector, and the rectifying circuit.The rectifier is represented by a single (series and shunt) mounted, or a bridge diode.Through all these designs, the single diode configuration represented by half wave rectifier is the simplest and most common configuration [6].Mostly a rectenna consists of a receiving antenna and a rectifying circuit as shown in Figure 1.In case of the high characteristics of receiving antenna, which are wide impedance bandwidth, wide beam and high gain, rectifying circuit and impedance matching between the receiving antenna and rectifying circuit should be at 50 Ω.Generally, in the modern built environment, GSM mobile phones signals are prevalent, and propagate well both into and out of buildings.Other promising bands include Wi-Fi hotspots (and other 2.4 GHz sources), as well as cellular (850 MHz, 900 MHz bands), personal communications services PCS (1900 MHz band) and WiMax (2.3/3.5 GHz) network transmitters.All these characteristics in RF energy harvesting system lead to a high-power conversion efficiency [7].This paper presents a multi band antenna with a good response at 900 MHz, 1.8 GHz, 2.5 GHz and 5.2 GHz.A high output voltage has been pledged with collecting more RF signals from a number of frequency bands by using a wideband energy harvester.Although, the constraints might be the reduced conversion efficiency, due to variation with frequency, which makes difficult to keep the impedance match over a large frequency band.To cope with this problem, energy harvesting from several narrow frequency bands is better than a single wide one [8].
The proposed antenna based on elliptical conventional shape is proposed with multi arms where each arm is responsible for a specific resonant frequency.The rectifier is designed at multi frequency bands but the measurements are done at dual band (1.8 GHz and 2.45 GHz).Full wave rectifier with voltage doubler design is used with Schottky diode HSMS-2850 [9].Matching circuit between antenna and voltage doubler rectification is designed with open circuit stubs, where each stub arm is responsible for operation at certain resonance frequency.

Antenna Design and Analysis
The geometry of the proposed microstrip antenna is shown in Figure 2 (elevation and side views).The monopole antenna with step modified ground plane is used to achieve good impedance matching, and consequently good radiation efficiency.The antenna is designed on FR4 substrate with thickness 1.6 mm, dielectric constant 4.4 and loss tangent 0.02.All the simulations of the proposed antenna are performed using the high frequency structure simulator (HFSS).The overall dimensions of the antenna are 48 × 42 × 1.6 mm 3 .The feeding transmission line has length a = 12 mm and width of b = 2.9 mm to achieve a standard 50 Ω input impedance.The antenna consists of four adjustable radiating parts to optimize the impedance bandwidth and the reflection coefficient.Each arm is responsible for certain resonant frequency hence, independent resonating structure is achieved.The first part with length L 1 = 14 mm and width W 1 = 2 mm is responsible for the 900 MHz resonance.The second part with length L 3 = 13 mm and width W 3 = 3 mm is responsible for the 1.8 GHz resonance.The third part acts as L shaped structure with length L 2 = 18 mm, L 4 = 4 mm and width for both of W 4 = 2.6 mm and is responsible for resonance at 2.5 GHz.The fourth part is also an L-shape structure with length L 6 = 14 mm, L 5 = 5.3 mm and width W 5 = 2.4 mm which is responsible for resonant 5.2 GHz.
Step modified ground plane with step t 1 = 2 mm and t 2 = 4 mm is also used to improve reflection coefficient matching.Figure 3 illustrates the reflection coefficients of the antenna system due to each radiating arm.The resonance frequency at 1.8 GHz is frequently controlled by the length L 2 .

Effect of Arm L4
Figure 3(d) illustrates that the antenna performance applies at multiple lengths of L 4 .As same as others, the resonance frequency 5.2 GHz is shifted by changing the length of L 4 .The optimized antenna performance is obtained at desirable length L 4 = 14 mm.

Stepped Ground Plane
Figure 4 shows the influence of stepped ground plane on antenna performance.We can conclude that the antenna uses a stepped ground plane to achieve high impedance matching from the full ground plane.Figure 4 shows the stepped ground plane effect with four multiple-step sizes which give us the progressive impedance matching performance at the four desirable frequency bands.

Rectifier Design and Analysis
The block diagram of a conventional rectenna is shown Figure 1.A rectifier consists of a matching network to maximize the power transfer from the receiving antenna.The rectifier circuit is used to convert the RF signal from the antenna to DC signal, where a DC filter is used to smooth the signal output and to filter the harmonic signals and a resistive load.Voltage doubling circuit rectifies the RF signal by using two types of diodes as Schottky diode HSMS-2850 package and Schottky diode SMS-7630-061.The voltage doubler consists of two stages, the first stage contains diode D 1 to get rid of the negative part of the input signal and capacitor C 1 and the second stage contains diode D 2 to achieve rectification for the upper part and capacitor C 2 .C 1 is used to prevent the harmonics generated by the diode.C 2 is used as a DC filter, and a storage of energy [9] [10].
where V out is output dc voltage, V in is input voltage, V d is forward voltage of diode as in Equation (1).The Schottky diode HSMS2850 has high forward voltage, low capacitance and low resistance, where the Schottky diode SMS7630-061 has a low threshold voltage 0.34 V and break down voltage 2 V. Hence, the efficiency of SMS-7630-061 is higher than HSMS-2850.Matching network is implemented by lumped elements but in this paper, matching can be achieved between the receiving antenna and the rectifier at two frequencies through triple stub matching network, where using meander line issued for size reduction.The rectifying circuit is simulated by harmonic balance (HB) simulation of ADS software package.
The low power level can be improved at −10 dBm at GSM1800 (1.8 GHz) and WiFi band 2.45 GHz.An optimized load resistance 548 Ω is selected for maximum conversion efficiency.Figure 5

Rectenna System Fabrication and Measurements
In this section, part 1) explains the antenna fabrication and characteristics measurements as resonances frequency and radiation pattern.Part 2) presents the rectifier circuit fabrication and measurements of its efficiency while, section 3) illustrates the energy harvesting measurements for the integrated rectenna system.

1) Antenna Performance
The antenna is fabricated as shown in Figure 6(a).The operating bands are GSM900 band, GSM1800 MHz band, WiFi band at 2.5 GHz and WLAN band at 5.2 GHz are with reflection coefficients −17.14 dB, −30.48 dB, −24.98 dB and −29.24 dB, respectively.There is good agreement between the measurement and the simulation results as shown in Figure 6(b).However, in higher bands there are shift that reaches up to 300 MHz.This is attributed due to the SMA connector didn't model on the simulation of the HFSS simulator as well as soldering of the connector.The comparison of the simulated and measured 2-D radiation pattern of the proposed antenna at phi = 0˚ and Phi = 90˚ at three frequencies  1.8, 2.5 and 5.2 GHz are shown in Table 1.Table 1 shows that the designed antenna radiated and received radiation from different direction which is suitable for energy harvesting. 2

) Rectifier Performance
The multiband rectifier is also fabricated on FR4 substrate with same antenna substrate thickness of 1.6 mm as shown in Figure 7(a).For integration purposes, the total rectifier size is 10.3 × 7.4 cm 2 .Figure 7(b) shows the rectifier that is fabricated using Schottky diode SMS-7630-061 [11].For testing purposes, the rectifier is connected to signal generator.The output voltage of rectifier (V out ) is measured by a voltmeter.
The conversion efficiency of rectenna η is defined as the ratio of the DC output power PDC to the RF I/P power [12]: η RF-DC = (P DC /P RF ) × 100% = (V out ) 2 /R L × 1/P RF × 100% (2) Figure 8(a) illustrates the results of efficiency and output voltage of the dual-band rectifier by using Schottky diode HSMS-2850 [13] when changing incident power level from −20 dBm to 20 dBm.At the input power 20 dBm we can reach the maximum output DC voltage is 1.815 V with a load resistance of 548 Ω. Figure 8(b) illustrates the results of efficiency and output voltage of the dual-band rectifier by using Schottky diode SMS-7630 [14] when changing incident power level from −20 dBm to 20 dBm.The maximum output DC voltage is improved to 3.97 V with same input incident power and the optimized load resistance becomes 824 Ω.The load resistance has great effect on rectifier conversion efficiency, where.When the load resistance [15] value is high, this will lead to a large voltage at the output, thus ultimately approaching the breakdown voltage of the diode.The measurement results are shifted a little toward the left and not well matched.Due to two reasons, firstly the dielectric constant of FR4 that resembles high losses.Secondly, the diode characteristics and hence it is the junction capacitance C j impacts on the shifting of resonance frequency as it lowers frequency by increasing the value of C j [16] [17].

4) Rectenna Performance
The measurements for the full rectification [18] circuit are made.Figure 11(a) shows experimental setup with a transmitting Log-periodic antenna with about gain 9 dB i to interest the operating region, it is connected to a digital transmitter with a variable frequency.The rectenna is placed near the transmitting antenna and the performance of the rectenna was tested by measuring the output DC voltage [19] [20] [21] using a voltage meter.Table 2 and Table 3 show output voltage at 1.8 and 2.45 GHz at different input power by using the     two Schottky diodes.The distance (r) between the transmitting antenna and received rectenna system is 30 cm.The collected energy from proposed rectenna could be converted to a form that can be stored in a rechargeable battery or storage capacitor to remote sensor systems or portable device applications.

Conclusion
This paper presents the design of multiband microstrip rectenna operating at four frequency bands with acceptable reflection coefficients below −10 dB.There GHz and 2.4 GHz, respectively.The rectifier circuit is integrated with the antenna.The rectenna resonates at dual frequency bands as (GSM 1800 and WiFi band).The achieved power conversion efficiency is up to 71.11% at 0 dBm input power with load resistance of 824 Ω by using Schottky diode SMS7630-061.

Figure 3 (
Figure 3(a) illustrates the simulated reflection coefficient for multiple values of L 1 .We can conclude that the first resonant frequency is not influenced by the change in L 1 , although at 900 MHz the resonance is influenced.Progressively

Figure 2 .
Figure 2. Geometrical configuration of the proposed antenna (a) Elevation and (b) Side view.

Figure 3 (
Figure 3(b) illustrates the simulated |S11| for multiple values of L 2 .The results show that by differing the length L 2 and making the other antenna parameters fixed, the resonance frequency at 1.8 GHz is influenced as compared to others.

Figure 3 (
Figure 3(c) illustrates the simulated |S11| for multiple values of length L 3 .We can conclude that by changing values of length L 3 from 11 to 15 mm, the resonance frequency at 2.5 GHz is impacted, however, the other resonance frequencies are not approximately influenced.

Figure 4 .
Figure 4. Simulated |S 11 | for antenna with step ground plane and without step grounded plane.

Figure 5 .
Figure 5. Layout of the rectifier circuit with dimensions.

Figure 6 .
Figure 6.(a) The fabrication of designed antenna (a) front & back side and (b) The reflection coefficient comparison between measured and simulated of the proposed antenna.

Figure 7 .
Figure 7. Photograph of the fabricated rectifier by using Schottky diode & the reflection coefficient comparison between measured and simulated (a) using HSMS 2850 and (b) SMS-7630-061.

Figure 8 .
Figure 8. RF-to-DC conversion efficiency vs. input power for rectifier fabricated with (a) HSMS-2850 at dual band 1.8 GHz and 2.45 GHz with load 548 Ω and (b) SMS-7630-061 at dual band 1.8 GHz and 2.45 GHz with load 824 Ω.

Figure 9 (
Figure 9(c) illustrates reflection coefficient for 0.99, 1.8, 2.4, 5.2 GHz are (−16.55dB, −15.38 dB, −20.09 dB and −20.42 dB), respectively.Figure 9(b) illustrates the layout of quad-band rectifier on ADS software package verifying that with using open circuit stubs, L-shape stubs and mender shape to reduce size of rectifier.Figure 10 illustrates the simulated conversion efficiency for the antenna with quad-band rectifier circuit designed by using Schottky diode SMS-7630-061 at 990 MHz, 1.8 GHz, 2.4 GHz and 5.2 GHz, therefore the highest conversion efficiency at input power 0 dBm is 22.44% and 20.4% for 1.8 GHz and 2.4 GHz, respectively.

Figure 9 .
Figure 9. (a) The simulated reflection coefficient for Quad-ban rectifier circuit using Schottky diode SMS-7630-061, (b) Layout of the quad band rectifier circuit, and (c) The simulated reflection coefficient circuit.

Figure 10 .
Figure 10.The simulated conversion efficiency for the antenna with quad-band rectifier circuit designed by using Schottky diode SMS-7630-061.

Figure 11 .
Figure 11.The setup used to test the multi-band rectenna design by using (a) Schottky diode HSMS-2850 and (b) Schottky diode SMS 7630-061.
is a good agreement between simulated results obtained using HFSS electromagnetic simulation package and the measured data.Multiband antenna is used for harvesting largest possible amount of ambient power at several wireless communication bands.Multiband Rectifier with open circuit stub and meander line is used with Schottky diodes HSMS-2850 and SMS 7630-061 to achieve the largest RF to dc conversion efficiency at the two operational frequencies; 1.8

Table 1 .
Simulated and measured normalized radiation pattern at different wireless communication frequencies; simulated (H-pol , v-pol) and measured (H-pol , v-pol ).

Table 2 .
Measured results from fabricated rectenna design by using Schottky diode HSMS-2850.