<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">EPE</journal-id><journal-title-group><journal-title>Energy and Power Engineering</journal-title></journal-title-group><issn pub-type="epub">1949-243X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/epe.2021.139023</article-id><article-id pub-id-type="publisher-id">EPE-112173</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Design of a Rectenna in 2.45 GHz Band Frequency for Energy Harvesting
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ognadon</surname><given-names>Assogba</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Abdoul</surname><given-names>Karim Mbodji</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Salick</surname><given-names>Diagne</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Abdou</surname><given-names>Karim Diallo</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Section Physique Appliquée, UFR des Sciences Appliquées et de Technologies (SAT), Université Gaston Berger de Saint-Louis, 
Sénégal</addr-line></aff><pub-date pub-type="epub"><day>27</day><month>09</month><year>2021</year></pub-date><volume>13</volume><issue>09</issue><fpage>333</fpage><lpage>342</lpage><history><date date-type="received"><day>19,</day>	<month>August</month>	<year>2021</year></date><date date-type="rev-recd"><day>24,</day>	<month>September</month>	<year>2021</year>	</date><date date-type="accepted"><day>27,</day>	<month>September</month>	<year>2021</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution-NonCommercial International License (CC BY-NC).http://creativecommons.org/licenses/by-nc/4.0/</license-p></license></permissions><abstract><p>
 
 
  There are several sources of energy recovery in the ambient environment. Th
  e radiofrequency energy harvesting system is used to harvest the electromagnetic energy in the air by processing energy sources to charge low
  -power electronic devices. Rectenna termed
   as 
  a 
  rectifying antenna is a device that is used to convert electromagnetic waves in the air into direct electric current. In this work, we have designed firstly the patch antenna with a small size printed on the FR4 substrate (40 mm &#215; 47.5
   
  mm &#215; 1.6 mm) and then the rectifier circuit. This rectenna is capable of working at a frequency range of 2.45 GHz. The antenna was designed using High Frequency Structure Simulator (HFSS) 13.0 software with the result of working frequency of 2.453 GHz, S11 (Return Loss) 
  -52 dB, Voltage Standing Wave Ratio (VSWR) 1.036, gain 3.48 dB and bandwidth 150 MHz. The efficiency of rectifier design on Advanced Design System (ADS) 2011 software is 54% at the input power of 0 dBm at 2.45 GHz. The resulting system is capable of producing electrical energy to power low-power electronic equipment at a DC voltage of 732 mV.
 
</p></abstract><kwd-group><kwd>Efficiency</kwd><kwd> Energy Harvesting</kwd><kwd> Radiofrequency</kwd><kwd> Rectenna</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>The low-energy electronic devices or connected objects manufacturing industry have experienced growth in production in recent years. This growth has led to the implementation and further development of ambient energy recovery systems [<xref ref-type="bibr" rid="scirp.112173-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.112173-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.112173-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.112173-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.112173-ref5">5</xref>], including radiofrequency (RF) energy harvesting systems. The development of RF energy harvesting systems has been made possible by the permanent presence of electromagnetic waves or radio waves in the ambient environment. These waves are produced by television and radio stations, Wi-Fi access points, access networks of fixed and mobile telephone operators. One source of energy that is easily obtained is an access point (Wi-Fi). RF systems consist mainly of a rectenna which is an assembly of receiving antenna and rectifier. The receiving antenna picks up the radio signal from the source and converts it into an electrical signal. This electrical signal is then routed through a rectifier which converts it into Direct Current (DC). Microstrip antennas or patch antennas not only considerably allow to reducing the size of the antenna structure, but they are also mechanically robust. Several techniques are developed to design microstrip antennas such as the creation of slots on the radiating element of the antenna. The slots with fractal geometry allowed to increase the bandwidth and the antenna adaptation characteristics [<xref ref-type="bibr" rid="scirp.112173-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.112173-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.112173-ref8">8</xref>]. The design of the multiband antenna resulted in a reflection coefficient of −49 dB with a bandwidth of 67 MHz around the resonant frequency of 2400 MHz [<xref ref-type="bibr" rid="scirp.112173-ref8">8</xref>]. A multi-band antenna whose radiated element is loaded with circular, L-shaped, and U-shaped slots is designed [<xref ref-type="bibr" rid="scirp.112173-ref9">9</xref>]. The sensor requires a DC voltage to operate. Therefore, in order to power it from the RF system, it is necessary to convert the electrical signal obtained at the output of the antenna to DC power. Moreover, for maximum power transfer, it is important to associate a matching circuit to this rectifier. Thus, an RF to DC conversion efficiency of 84% was obtained with an L-shaped adapter circuit [<xref ref-type="bibr" rid="scirp.112173-ref10">10</xref>]. For a low input power of 0 dBm a rectifier associated with a stub adaptation network allowed to obtain an efficiency of 62% [<xref ref-type="bibr" rid="scirp.112173-ref6">6</xref>]. The analysis of these works shows that microstrip antennas have a low profile with a low bandwidth around their resonant frequency. To increase this bandwidth, the creation of slots on the radiating element of these antennas is important. Rectifier circuits using fewer diodes help to increase the RF-DC conversion efficiency. In this paper, we proposed a compact rectenna operating at 2.45 GHz band for RF energy harvesting. First, three diamond geometry slots are introduced in the patch antenna design to miniaturize it and make it more efficient. Then, two rectangular slots and one circular slot are added to the radiating element to increase the performance of this antenna. A serial rectifier circuit is used to perform the conversion from RF to DC. In addition, a new L-matching stub network is designed to improve the overall efficiency of the rectenna for low input power.</p></sec><sec id="s2"><title>2. Design and Simulation of the Single Band Antenna</title><p>The antenna consists of a rectangular geometry with slots loaded on the radiating element. We used a rectangular patch antenna fed by a microstrip line. Rectangular patch antennas have dimensions that can be calculated from equations whose parameters are related to the characteristics of the substrate, the speed of light in vacuum and the frequency of the antenna [<xref ref-type="bibr" rid="scirp.112173-ref11">11</xref>]. The dimensions of the patch are 32 mm &#215; 42 mm, placed on a Flame Retardant 4 (FR-4) substrate with relative permittivity = 4.4, thickness = 1.6 mm and loss tangent = 0.02. The ground and the radiating element are each 0.035 mm thick. The microstrip feed-line of the antenna has an impedance of 50 Ω. The patch antenna designed by creating diamond-shaped slots on the radiating element is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. To obtain the frequency band with better performance, we considered the patch antenna shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>. The final structure in <xref ref-type="fig" rid="fig2">Figure 2</xref> is obtained by creating new rectangular and circular slots on the patch. The dimensions of this antenna are presented in <xref ref-type="table" rid="table1">Table 1</xref>. The evaluation of the reflection coefficient as a function of frequency is shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>. We can note from <xref ref-type="fig" rid="fig3">Figure 3</xref> the significant improvement of the reflection coefficient with the final antenna structure. We also note an increase in bandwidth. From the initial structure without slots to the secondary structure, we note an increase of 106.33% in bandwidth and 132.29% with the final structure. The bandwidth is therefore 140 MHz around the resonant frequency of 2.45 GHz.</p><p>The increase of antenna performance can therefore be explained by the creation of slots on the radiating element.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Dimensions of the proposed antenna</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Parameters</th><th align="center" valign="middle" >Values (mm)</th><th align="center" valign="middle" >Parameters</th><th align="center" valign="middle" >Values (mm)</th></tr></thead><tr><td align="center" valign="middle" >W<sub>s</sub></td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >L<sub>g</sub></td><td align="center" valign="middle" >30.5</td></tr><tr><td align="center" valign="middle" >L<sub>s</sub></td><td align="center" valign="middle" >47.5</td><td align="center" valign="middle" >L<sub>x</sub></td><td align="center" valign="middle" >5</td></tr><tr><td align="center" valign="middle" >W<sub>p</sub></td><td align="center" valign="middle" >32</td><td align="center" valign="middle" >W<sub>x</sub></td><td align="center" valign="middle" >1.75</td></tr><tr><td align="center" valign="middle" >L<sub>p</sub></td><td align="center" valign="middle" >42</td><td align="center" valign="middle" >L<sub>r1</sub></td><td align="center" valign="middle" >15</td></tr><tr><td align="center" valign="middle" >W<sub>f</sub></td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >L<sub>r2</sub></td><td align="center" valign="middle" >25</td></tr><tr><td align="center" valign="middle" >L<sub>f</sub></td><td align="center" valign="middle" >7</td><td align="center" valign="middle" >W<sub>r</sub></td><td align="center" valign="middle" >3</td></tr><tr><td align="center" valign="middle" >a</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >d</td><td align="center" valign="middle" >4</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Results of the reflection coefficient (S11) and gain as a function of frequencies</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Structure</th><th align="center" valign="middle" >Frequency (GHz)</th><th align="center" valign="middle" >S11 (dB)</th><th align="center" valign="middle" >Gain (dB)</th><th align="center" valign="middle" >Bandwidth (MHz)</th></tr></thead><tr><td align="center" valign="middle" >Initial</td><td align="center" valign="middle" >2.46</td><td align="center" valign="middle" >−11.39</td><td align="center" valign="middle" >2.747</td><td align="center" valign="middle" >60.100</td></tr><tr><td align="center" valign="middle" >Second</td><td align="center" valign="middle" >2.43</td><td align="center" valign="middle" >−28.78</td><td align="center" valign="middle" >3.35</td><td align="center" valign="middle" >124</td></tr><tr><td align="center" valign="middle" >Final</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >−52</td><td align="center" valign="middle" >3.48</td><td align="center" valign="middle" >140</td></tr></tbody></table></table-wrap><p>Small current flows would have appeared on the radiating element by the presence of slots [<xref ref-type="bibr" rid="scirp.112173-ref6">6</xref>]. This would have led to an increase in the bandwidth and an improvement in the reflection coefficient. <xref ref-type="table" rid="table2">Table 2</xref> shows a comparative study of the three antenna structures. From this table, we also note an improvement of the antenna gain with the final antenna structure. We can deduct from <xref ref-type="table" rid="table2">Table 2</xref> that the creation of slots also increases the antenna gain. The realized gain variation of the final antenna structure is shown in <xref ref-type="fig" rid="fig4">Figure 4</xref>. At the resonance frequency of 2.45 GHz, we obtain a realized gain of 3.48 dB.</p><p>The simulated radiation pattern of the antenna at 2.45 GHz frequencies is plotted in <xref ref-type="fig" rid="fig5">Figure 5</xref>. The 2 D radiation pattern shows that antenna has an omnidirectional characteristic in the H-plane.</p><p>The comparison of our work with others illustrated in <xref ref-type="table" rid="table3">Table 3</xref> shows that the</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Comparison between our design and others works</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Ref</th><th align="center" valign="middle" >Frequency (GHz)</th><th align="center" valign="middle" >S11 (dB)</th><th align="center" valign="middle" >Substrate</th><th align="center" valign="middle" >Antenna shape</th><th align="center" valign="middle" >Dimensions (mm &#215; mm)</th><th align="center" valign="middle" >Antenna gain (dB)</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.112173-ref6">6</xref>]</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >−50.19</td><td align="center" valign="middle" >FR4 ε<sub>r</sub> = 4.4 tangα = 0.02 h = 1.6 mm</td><td align="center" valign="middle" >Patch fractal slot</td><td align="center" valign="middle" >NA</td><td align="center" valign="middle" >2.408</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.112173-ref7">7</xref>]</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >−50</td><td align="center" valign="middle" >FR4 ε<sub>r</sub> = 4.4 tangα = 0.02 h = 3.2 mm</td><td align="center" valign="middle" >Patch Fractal slot</td><td align="center" valign="middle" >38 &#215; 38</td><td align="center" valign="middle" >2.2</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.112173-ref12">12</xref>]</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >−20</td><td align="center" valign="middle" >FR4 h = 2.5 mm</td><td align="center" valign="middle" >Patch</td><td align="center" valign="middle" >35 &#215; 35</td><td align="center" valign="middle" >0.5</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.112173-ref13">13</xref>]</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >−13</td><td align="center" valign="middle" >FR4 h = 0.8</td><td align="center" valign="middle" >Patch</td><td align="center" valign="middle" >41 &#215; 35.5</td><td align="center" valign="middle" >2.9</td></tr><tr><td align="center" valign="middle" >This work</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >−52</td><td align="center" valign="middle" >FR4 ε<sub>r</sub> = 4.4 tangα = 0.02 h = 1.6 mm</td><td align="center" valign="middle" >Patch Rectangular</td><td align="center" valign="middle" >40 &#215; 47.5</td><td align="center" valign="middle" >3.48</td></tr></tbody></table></table-wrap><p>designed and simulated antenna has good performances with a better reflection coefficient at a frequency of 2.45 GHz. The comparative study shows also that the designed antenna has the best reflection coefficient. This indicates that the antenna is highly resonant. This results in a very low signal loss between the antenna and the feed line.</p></sec><sec id="s3"><title>3. Rectifying Circuit Design</title><p>The rectifier circuit converts the incoming RF signal received by the antenna into a usable DC voltage for low power applications such as sensors. The topology of the serial rectifier circuit has been chosen.</p><p>The selected Schottky diode is the HSMS 2850 type with a series resistance of 25 Ω, a low threshold voltage of 0.25 V and a junction capacitance of 0.18 pF [<xref ref-type="bibr" rid="scirp.112173-ref7">7</xref>]. The matching circuit consists of microstrip lines and inductors. <xref ref-type="fig" rid="fig6">Figure 6</xref> illustrates the design of the rectifier and adapter circuit under ADS. The complex impedance of the antenna ZSource is 48-j &#215; 0.3 Ohm and that of the load Zload is 1 KΩ. The power levels before and after the rectifier circuits are represented in <xref ref-type="fig" rid="fig7">Figure 7</xref>. It represents the voltage variations as a function of the frequencies of the source where vin and VOUT are respectively the input and output voltage in the rectifier. We, therefore, note the transfer of direct current power at the output of the rectifier. <xref ref-type="fig" rid="fig7">Figure 7</xref> shows also that the input voltage to the converter can reach a maximum value of 2 dBm which is obtained at 2.45 GHz. This proves that this device is suitable for low input voltages. The conversion efficiency η at the rectifier terminals can be obtained by the relation (1) [<xref ref-type="bibr" rid="scirp.112173-ref8">8</xref>],</p><p>η = V L 2 P ⋅ R L 100 (1)</p><p>where V<sub>L</sub> (Volt) is the voltage on the resistor; R<sub>L</sub> is the resistance value (1 KΩ) and P is input power (Watt) of receiving antenna. P can be computed according</p><p>to Friis transmission equation [<xref ref-type="bibr" rid="scirp.112173-ref6">6</xref>] as:</p><p>P = ( λ 4 π R ) ⋅ G t ⋅ G r ⋅ P t (2)</p><p>where λ is the wavelength of operating frequency, G<sub>t</sub> and G<sub>r</sub> are respectively the gain of the transmitting antenna and receiving antenna, P<sub>t</sub> is the transmitting power, r is the distance between the two antennas. <xref ref-type="fig" rid="fig8">Figure 8</xref> shows the RF-DC conversion efficiency. An efficiency of 54% is therefore achieved for an input power of 0 dBm. However, the maximum power transfer efficiency is 55% with an input power of 3 dBm. This curve also indicates that the conversion system is suitable for low input powers. <xref ref-type="fig" rid="fig9">Figure 9</xref> represents the variation of simulated input and output voltages versus the time for an RF input power of 0 dBm at 2.45 GHz.</p><p>The input voltage is sinusoidal while the output voltage is almost constant. We note a higher peak output voltage than the input voltage. The rectifier circuit has therefore not only rectified the input voltage but also amplified it. The designed rectifier gives a maximum output voltage of 732 mV at 2.45 GHz. <xref ref-type="table" rid="table4">Table 4</xref> shows a comparative study of the results of the simulation of rectifier circuit</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Comparison with other rectifier circuits</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Ref</th><th align="center" valign="middle" >Frequency</th><th align="center" valign="middle" >Conversion Efficiency at 0 dbm</th><th align="center" valign="middle" >Load (KΩ)</th><th align="center" valign="middle" >Topology of rectify</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.112173-ref14">14</xref>]</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >55%</td><td align="center" valign="middle" >2.2</td><td align="center" valign="middle" >Series diode SMS-7630</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.112173-ref15">15</xref>]</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >42%</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >4 Stage of diodes</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.112173-ref16">16</xref>]</td><td align="center" valign="middle" >2.4</td><td align="center" valign="middle" >40%</td><td align="center" valign="middle" >1.8</td><td align="center" valign="middle" >Voltage quadrupler</td></tr><tr><td align="center" valign="middle" >This work</td><td align="center" valign="middle" >2.45</td><td align="center" valign="middle" >54%</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Single serie diode HSMS2850</td></tr></tbody></table></table-wrap><p>with other works. We obtained a simple rectifier circuit with a good efficiency at 0 dBm and a fairly high output voltage.</p></sec><sec id="s4"><title>4. Conclusion</title><p>In this work, we proposed in the first part a single band antenna for RF energy harvesting operating in the 2.45 GHz frequency band. This antenna is able to recover radio waves from Wi-Fi access points and is compact in size and has good performances at its resonance frequency. In the second part, a rectifier circuit using a single Schottky diode has been designed. Using this single diode rectifier, the power conversion efficiency is simulated and found to be 54% for the antenna at an input power of 0 dBm with a direct rectified voltage of 732 mV. The presented rectenna is suitable for RF energy harvesting at Wi-Fi band.</p></sec><sec id="s5"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s6"><title>Cite this paper</title><p>Assogba, O., Mbodji, A.K., Diagne, S. and Diallo, A.K. (2021) Design of a Rectenna in 2.45 GHz Band Frequency for Energy Harvesting. Energy and Power Engineering, 13, 333-342. https://doi.org/10.4236/epe.2021.139023</p></sec></body><back><ref-list><title>References</title><ref id="scirp.112173-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Alippi, C. and Galperti, C. (2009) An Adaptive System for Optimal Solar Energy Harvesting in Wireless Sensor Network Nodes. 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