sensors
Article Design and Application of a Metamaterial Superstrate on a Bio-Inspired Antenna for Partial Discharge Detection through Dielectric Windows
George Victor Rocha Xavier 1,* , Alexandre Jean René Serres 2 , Edson Guedes da Costa 2 , Adriano Costa de Oliveira 1 , Luiz Augusto Medeiros Martins Nobrega 2 and Vladimir Cesarino de Souza 3
1 Post-Graduate Program of Electrical Engineering (PPgEE), Federal University of Campina Grande (UFCG), AprigioVeloso 882, Campina Grande 58429-900, Brazil; [email protected] 2 Department of Electrical Engineering (DEE), Federal University of Campina Grande (UFCG), AprigioVeloso 882, Campina Grande 58429-900, Brazil; [email protected] (A.J.R.S.); [email protected] (E.G.d.C); [email protected] (L.A.M.M.N.) 3 Companhia Hidrelétrica do São Francisco (Chesf), Grisbert de Oliveira Gonzaga Street, Campina Grande 58418-105, Brazil; [email protected] * Correspondence: [email protected]; Tel.: +55-079-99999-9317
Received: 18 July 2019; Accepted: 23 September 2019; Published: 30 September 2019
Abstract: The adaptation of dielectric windows as metamaterial superstrate over a bio-inspired Printed Monopole Antenna (PMA) was evaluated in order to improve the detection sensitivity of Ultra High Frequency (UHF) sensors designed for Partial Discharge (PD) measurement. For this purpose, rectangular and circular Split Ring Resonators (SRR) structures were designed and evaluated aiming to achieve a metamaterial superstrate that improves the characteristics of the bio-inspired PMA as the gain, bandwidth, and radiation pattern. Measurements of the PMA with metamaterial superstrate were carried out in an anechoic chamber and compared to the simulations performed. The results show that the metamaterial superstrate insertion did not impact the original operating bandwidth, covering most of the characteristic frequency range of PD activity. Moreover, this insertion resulted in a mean gain enhancement of 0.7 dBi regarding the reference PMA, resulting in an antenna with better sensitivity for PD detection (mean gain of 3.61 dBi). The PMA-metamaterial set PD detection sensitivity was evaluated through laboratory tests with a point-to-plane PD generator setup and in field with measurements from a 230 kV current transformer. The developed PMA-metamaterial set was able to detect, successfully, the activity of PD for both tests, being classified as an optimized sensor for PD detection through dielectric windows.
Keywords: bio-inspired design; metamaterial; gain enhancement; dielectric windows; partial discharges; printed monopole antenna; UHF sensors; monitoring
1. Introduction High voltage equipment insulating systems are subjected to stressful conditions, such as intense electric fields, chemical reactions, mechanical efforts, temperature variations, and several environmental phenomena. Due to the occurrence of these stresses, low magnitude electrical discharges that partially short-circuit the insulating material may occur. This phenomenon is defined as partial discharge (PD) [1]. The continuous action of the PDs can induce a significant degradation of the insulating material, which can eventually lead to a full dielectric breakdown and, consequently, equipment failure.
Sensors 2019, 19, 4255; doi:10.3390/s19194255 www.mdpi.com/journal/sensors Sensors 2019, 19, 4255 2 of 27
Therefore, the continuous monitoring of PD activity in high voltage equipment is crucial to prevent the developmentSensors 2019, 19, ofx dielectric problems [2]. 2 of 27 The most traditional method used for PD detection is the one established by the IEC 60270 standardThe [most3], which traditional allows themethod measurement used for ofPD current detection pulses is the emitted one established during the occurrenceby the IEC of 60270 PDs. However,standard [3], this which method allows is considered the measurement highly invasive, of curre sincent pulses it requires emitted an during electrical the connection occurrence with of PDs. the monitoredHowever, this equipment method through is considered a coupling highly capacitor. invasive, since it requires an electrical connection with the monitoredIn order to equipment overcome through the practical a coupling limitations capacitor. of the IEC 60270 standard method for online monitoring,In order researchers to overcome have the been practical studying limitations several alternative of the IEC methodologies 60270 standard for PDmethod detection for online [4–8]. Amongmonitoring, these researchers methods, the have radiometric been studying ones are several highlighted alternative due to theirmethodologies non-invasive for nature, PD detection since there [4– is8]. no Among need of these an electrical methods, connection the radiometric between theones sensor are highlighted and the monitored due to equipment. their non-invasive The radiometric nature, orsince Ultra there High is Frequencyno need of (UHF)an electrical method connection consists of between the detection the sensor of electromagnetic and the monitored waves equipment. emitted by PDThe current radiometric pulses, or whichUltra High propagate Frequency through (UHF) the insulationmethod consists system of of the high detection voltage of equipment electromagnetic in the UHFwaves frequency emitted by range PD (300current MHz pulses, to 3 GHz). which The propagate UHF operation through frequency the insulation range system isolates of thehigh detection voltage systemequipment from in most the electromagneticUHF frequency interferencerange (300 inMHz substations, to 3 GHz). such The as UHF power operation electronics frequency switching range and coronaisolates discharges, the detection since system the signals from generatedmost electromagnetic by these phenomena interference have in components substations, with such significant as power energyelectronics for frequencies switching and between corona 200 discharges, and 300 MHz sinc [9e]. the Therefore, signals thegenerated UHF method by these is characterizedphenomena have as a non-invasivecomponents andwith interference-resistant significant energy for technique, frequenc makingies between it attractive 200 and for 300 the MHz continuous [9]. Therefore, monitoring the ofUHF high method voltage is equipment. characterized as a non-invasive and interference-resistant technique, making it attractiveIn order for tothe improve continuous the monitoring detection sensitivity of high voltage of UHF equipment. sensors, researchers studied the spectral featuresIn order of the to PD improve radiation, the concluding detection sensitivity that, generally, of UHF most sensors, of the radiatedresearchers energy studied is concentrated the spectral betweenfeatures of 300 the MHz PD radiation, and 1.5 GHz concluding [9,10]. One that, of genera the pioneeringlly, most of papers the radiated regarding energy the is application concentrated of UHFbetween sensors 300 inMHz PD and detection 1.5 GHz is presented[9,10]. One in of [11 the], which pioneering reports papers the detection regarding and the location application of PDs of inUHF a 420 sensors kV Gas in PD Insulated detection Substation is presented (GIS), in [11], attesting which the reports efficiency the detection of the UHF and method. location Overof PDs the in years,a 420 kV other Gas researches Insulated haveSubstation proved (GIS), the e ffiattestingciency andthe efficiency reliability of of the the UHF UHF method. method Over in GISs the [12 years,,13], andother its researches application have was proved extended the efficiency to other high and voltage reliability equipment, of the UHF mainly method power in GISs transformers [12,13], and and its highapplication voltage was cable extended connections to other [10,14 high,15]. voltage equipment, mainly power transformers and high voltageFor cable power connections transformers [10,14,15]. and GIS, the allocation of UHF sensors is usually made through dielectric windows,For power as presented transformers in Figure and1. GIS, Generally, the allocati a dielectricon of windowUHF sensors can beis definedusually asmade an opening through covereddielectric by windows, dielectric as material presented on the in equipmentFigure 1. Ge tank,nerally, providing a dielectric a propagation window waycan be between defined the as PD an radiatedopening wavescovered and by the dielectric installed UHFmaterial sensor on [16th].e equipment tank, providing a propagation way between the PD radiated waves and the installed UHF sensor [16].
Cable
Sensor
Dielectric Window
Dielectric Layer Tank FigureFigure 1.1. Sensor allocation throughthrough aa dielectricdielectric windowwindow onon aa powerpower transformertransformer [[14,17].14,17].
TheThe UHFUHF sensorssensors appliedapplied inin dielectricdielectric windowswindows forfor PDPD detection can assumeassume several structures, suchsuch asas looploop electrode,electrode, diskdisk electrode,electrode, conicalconical coupler,coupler, andand antennasantennas (monopole,(monopole, dipole,dipole, microstrip,microstrip, andand others)others) [[18,19].18,19]. Among these sensors,sensors, printedprinted monopolemonopole antennasantennas (PMA)(PMA) areare highlightedhighlighted forfor havinghaving desirabledesirable characteristics characteristics for for practical practical applications, applications, such assuch low as cost, low attractive cost, attractive radiation radiation patterns, wideband,patterns, wideband, and ease ofand installation ease of installation/construction/construction [20]. However, [20]. However, PMA with PMA traditional with traditional radiating elementradiating (patch) element shapes (patch) designed shapes to designed operate into UHFoperate range in wouldUHF range assume would relatively assume large relatively dimensions, large limitingdimensions, their limiting use for practicaltheir use applicationsfor practical inapplications dielectric windows. in dielectric windows. The operating frequency of PMA is directly related to the perimeter of the patch. The greater the perimeter, the lower the operating frequency. Therefore, techniques used for PMA miniaturization mainly seek optimized geometries that maximize the patch perimeter/area ratio. These optimized geometries can be addressed in the shapes of living beings developed in order to provide greater efficiency regarding the ability to survive. Hence, aiming to achieve a better radiating efficiency, bio-inspired antennas use the shapes of plants or animals as basis for their design [21–26].
Sensors 2019, 19, 4255 3 of 27
The operating frequency of PMA is directly related to the perimeter of the patch. The greater the perimeter, the lower the operating frequency. Therefore, techniques used for PMA miniaturization mainly seek optimized geometries that maximize the patch perimeter/area ratio. These optimized geometries can be addressed in the shapes of living beings developed in order to provide greater efficiency regarding the ability to survive. Hence, aiming to achieve a better radiating efficiency, bio-inspired antennas use the shapes of plants or animals as basis for their design [21–26]. In addition, in order to detect the inception of PD (low intensity pulses), the application of PMAs with high mean gain is required [27], making the evaluation of gain enhancement technique assimilation on PMAs designed for PD detection interesting. Among the gain improvement techniques for PMA, the use of metamaterials stands out in the literature due to its characteristic of double negativity (DNG) for magnetic permeability and for electrical permittivity values [28–31]. The DNG feature results in the decreasing of material reflection and refractive indexes, acting as a converging lens that concentrates the electromagnetic waves in a given propagation medium, resulting in gain enhancement [32,33]. The application of metamaterials can be implemented in different ways, such as changes in the antenna patch [34], modifications in the ground plane [35], and applications as dielectric superstrates [36]. As can be seen from Figure1, dielectric windows have a dielectric layer that naturally works as a superstrate. Thus, it is possible to take advantage of the dielectric layer to improve the gain of the antennas coupled to it by adding metamaterials in its structure. Therefore, the application of metamaterials in dielectric superstrates presents a greater practical feasibility for the detection of PD, since dielectric windows can be easily adapted for this purpose. In addition, the use of dielectric superstrates with metamaterials presents better gain enhancement results for broadband applications, as PD detection, in comparison to the application of modifications in the ground plane or antenna patch [37–39]. Therefore, the main objective of this paper is to design a metamaterial for gain enhancement that can be used as superstrate over a PMA developed for PD detection through dielectric windows. The PMA used as reference is a bio-inspired structure based on the Jatropha mollissima (Pohl) Baill leaf that was developed and presented in a previous work [26] and meets the size, bandwidth, and gain values requirements for PD detection through dielectric windows in high voltage equipment. Hence, this work aims to improve the PD sensitivity of detection of the structure presented in [26] through the application of a metamaterial superstrate representing a dielectric window, allowing a more accurate detection of PD inception (low intensity pulses). The designed metamaterial is composed by the combination of Split Ring Resonators (SRR) and Capacitive Load Strips (CLS). The bio-inspired PMA with metamaterial superstrate was subjected to bandwidth and gain measurement tests (in an anechoic chamber) and sensitivity tests of PD detection by means of comparative results with the IEC 60270 standard method connected to a PD generator laboratory setup. Finally, in order to evaluate the PD sensitivity of detection in practice, the bio-inspired PMA with metamaterial superstrate was tested in a substation to detect the PD activity on a 230 kV current transformer.
2. Printed Monopole Antenna (PMA) PMA have a simple structure and great ease of construction and installation. In addition, features such as large bandwidth make this type of antenna suitable for PD application [26]. The general structure of a PMA is presented in Figure2, in which W0 and L0 are the antenna length and width, respectively, L and W are the length and width of the patch, respectively, Lg and Wg are the length and width of the truncated ground plane, respectively, Wf is the width of the transmission line, g is the distance between the patch and the ground plane, and h is the substrate thickness. Sensors 2019, 19, x 3 of 27
In addition, in order to detect the inception of PD (low intensity pulses), the application of PMAs with high mean gain is required [27], making the evaluation of gain enhancement technique assimilation on PMAs designed for PD detection interesting. Among the gain improvement techniques for PMA, the use of metamaterials stands out in the literature due to its characteristic of double negativity (DNG) for magnetic permeability and for electrical permittivity values [28–31]. The DNG feature results in the decreasing of material reflection and refractive indexes, acting as a converging lens that concentrates the electromagnetic waves in a given propagation medium, resulting in gain enhancement [32,33]. The application of metamaterials can be implemented in different ways, such as changes in the antenna patch [34], modifications in the ground plane [35], and applications as dielectric superstrates [36]. As can be seen from Figure 1, dielectric windows have a dielectric layer that naturally works as a superstrate. Thus, it is possible to take advantage of the dielectric layer to improve the gain of the antennas coupled to it by adding metamaterials in its structure. Therefore, the application of metamaterials in dielectric superstrates presents a greater practical feasibility for the detection of PD, since dielectric windows can be easily adapted for this purpose. In addition, the use of dielectric superstrates with metamaterials presents better gain enhancement results for broadband applications, as PD detection, in comparison to the application of modifications in the ground plane or antenna patch [37–39]. Therefore, the main objective of this paper is to design a metamaterial for gain enhancement that can be used as superstrate over a PMA developed for PD detection through dielectric windows. The PMA used as reference is a bio-inspired structure based on the Jatropha mollissima (Pohl) Baill leaf that was developed and presented in a previous work [26] and meets the size, bandwidth, and gain values requirements for PD detection through dielectric windows in high voltage equipment. Hence, this work aims to improve the PD sensitivity of detection of the structure presented in [26] through the application of a metamaterial superstrate representing a dielectric window, allowing a more accurate detection of PD inception (low intensity pulses). The designed metamaterial is composed by the combination of Split Ring Resonators (SRR) and Capacitive Load Strips (CLS). The bio-inspired PMA with metamaterial superstrate was subjected to bandwidth and gain measurement tests (in an anechoic chamber) and sensitivity tests of PD detection by means of comparative results with the IEC 60270 standard method connected to a PD generator laboratory setup. Finally, in order to evaluate the PD sensitivity of detection in practice, the bio-inspired PMA with metamaterial superstrate was tested in a substation to detect the PD activity on a 230 kV current transformer.
2. Printed Monopole Antenna (PMA) PMA have a simple structure and great ease of construction and installation. In addition, features such as large bandwidth make this type of antenna suitable for PD application [26]. The general structure of a PMA is presented in Figure 2, in which W0 and L0 are the antenna length and width, respectively, L and W are the length and width of the patch, respectively, Lg and Wg are the Sensors 2019, 19, 4255 4 of 27 length and width of the truncated ground plane, respectively, Wf is the width of the transmission line, g is the distance between the patch and the ground plane, and h is the substrate thickness. h W0
W L L0 Substrate g Patch L g
Wf Ground Plane
Wg FigureFigure 2. 2. PrintedPrinted Monopole Monopole Antenna Antenna (PMA) (PMA) general general structure. structure.
Sensors 2019, 19, x 4 of 27 According to [21], the electric current density in a PMA is greater at the edges of the patch. Therefore,According an increase to [21], in the the electric patch perimeter current density would alsoin a increasePMA is thegreater wavelength at the edges and, consequently,of the patch. decreaseTherefore, the an lower increase operating in the patch frequency. perimeter Hence, would the loweralso increase frequency the ofwavelength the PMA operating and, consequently, band can bedecrease approximated the lower by operating the patch frequency. perimeter, Hence, as presented the lower in Equation frequency (1) of [21 the]. PMA operating band can be approximated by the patch perimeter, as presented300 in Equation (1) [21]. f (GHz) = , (1) p √300εre f 𝑓(𝐺𝐻𝑧) = , (1) 𝑝 𝜀 where p is the patch perimeter and εre f is the relative permittivity of the dielectric, approximated aswhere [21]: p is the patch perimeter and εre f is the relative permittivity of the dielectric, approximated as [21]: 300 f (GHz) = 300 . (2) 𝑓(𝐺𝐻𝑧) = p √εre f . (2) 𝑝 𝜀 3. Metamaterials: Concept and Design 3. Metamaterials:According to [Concept28], from and Maxwell Design equations, it is possible to classify the materials in four different classesAccording according to to their[28], valuesfrom ofMaxwell magnetic equations, permeability it is (µ possible) and electrical to classify permittivity the materials (ε), as presented in four indifferent Figure 3classes. according to their values of magnetic permeability (µ) and electrical permittivity (ε), as presented in Figure 3. µ
(0,µε < > 0) (0,µε > > 0)
ε
(0,µ<ε < 0)(0,µε > < 0)
Figure 3. Material classificationclassification based on electrical permittivitypermittivity andand magneticmagnetic permeabilitypermeability values.values.
TheThe firstfirst quadrantquadrant ofof FigureFigure3 (3 (εε >> 0,0, µµ >> 0)0) representsrepresents thethe materialsmaterials inin whichwhich thethe interactioninteraction betweenbetween thethe electric electric and and magnetic magnetic vectors vectors (E and(E and H, respectively)H, respectively) results results in the in propagation the propagation of a vector of a wavevector K wave with K direction with direction defined defined by the right by the hand right rule, hand being rule, denominated being denominated as RHM (Rightas RHM Handed (Right Materials).Handed Materials). The RHM The represents RHM represents most of the most materials of the commonlymaterials commonly found innature found andin nature presents and a straightpresents wave a straight propagation wave propagation mode [40]. mode [40]. TheThe secondsecond quadrantquadrant ((εε << 0, µµ >> 0) describesdescribes thethe electricelectric plasmasplasmas inin whichwhich evanescentevanescent waveswaves propagatepropagate withwith higher higher e efficiencyfficiency [41 [41].]. The The materials materials that that are are represented represented by by this this quadrant quadrant are are known known as ENGas ENG (Epsilon (Epsilon Negative). Negative). Similarly, Similarly, the fourth the quadrantfourth quadrant (ε > 0, µ (<ε 0)> also0, µ presents < 0) also greater presents propagation greater propagation of evanescent waves, but for magnetic media. Therefore, the materials in this quadrant are called MNG (Mu Negative). Finally, the third quadrant (ε < 0, µ < 0) represents the metamaterials, or Double Negative (DNG) materials. Due to its double negative characteristic, the refractive index, calculated from Maxwell’s equations, also assumes negative values. The negative refractive index condition reflects in an interaction between E and H that results in the propagation of a K wave vector governed by the left hand rule. Thus, metamaterials can also be referred as LHM (Left Handed Materials) and have a reverse propagation mode regarding RHM. Besides the presentation of the characteristics described for ENG and MNG materials, the LHM have a negative refractive index that enables these materials to be able to concentrate incident electromagnetic waves in the medium in which they are applied. Hence, LHM can be defined as converging lenses that increase the focus of electromagnetic waves, both incident and evanescent waves, in a given dielectric medium. The use of LHM as electromagnetic wave lenses has a useful practical application in microwave engineering, since a higher concentration of electromagnetic waves on the surface of an antenna, for example, can result in a considerable increase in its gain [42–44].
Sensors 2019, 19, 4255 5 of 27 of evanescent waves, but for magnetic media. Therefore, the materials in this quadrant are called MNG (Mu Negative). Finally, the third quadrant (ε < 0, µ < 0) represents the metamaterials, or Double Negative (DNG) materials. Due to its double negative characteristic, the refractive index, calculated from Maxwell’s equations, also assumes negative values. The negative refractive index condition reflects in an interaction between E and H that results in the propagation of a K wave vector governed by the left hand rule. Thus, metamaterials can also be referred as LHM (Left Handed Materials) and have a reverse propagation mode regarding RHM. Besides the presentation of the characteristics described for ENG and MNG materials, the LHM have a negative refractive index that enables these materials to be able to concentrate incident electromagnetic waves in the medium in which they are applied. Hence, LHM can be defined as converging lenses that increase the focus of electromagnetic waves, both incident and evanescent waves, in a given dielectric medium. The use of LHM as electromagnetic wave lenses has a useful practical application in microwave engineering, since a higher concentration of electromagnetic waves on the surface of an antenna, Sensorsfor example, 2019, 19, canx result in a considerable increase in its gain [42–44]. 5 of 27 However, materials such as ENG, MNG, and LHM are not found in nature, requiring the manufactureHowever, of materials resonant structuressuch as ENG, that emulate MNG, suchand LHM materials. are not found in nature, requiring the manufactureThe behavior of resonant of an ENG-likestructures material that emulate can be such emulated materials. from Capacitive Load Strips (CLS) that, for certainThe behavior frequency of ranges,an ENG-like may have material higher can electron be emulated concentrations from Capacitive and an increase Load Strips in their (CLS) effective that, formass, certain resulting frequency in a negative ranges, electrical may have permittivity higher electron [29]. The concentrations basic structure and of aan CLS increase is presented in their in effectiveFigure4. mass, resulting in a negative electrical permittivity [29]. The basic structure of a CLS is presented in Figure 4.
Figure 4. ExampleExample of of Capacitive Capacitive Load Load Strips Strips (CLS) (CLS) basic basic structure.
For MNG-type materials, the emulation of their characteristics can be obtained from the use of a For MNG-type materials, the emulation of their characteristics can be obtained from the use of a Split Ring Resonator (SRR). For specific frequency ranges, the electromagnetic interactions between Split Ring Resonator (SRR). For specific frequency ranges, the electromagnetic interactions between the characteristic inductance of the rings and the capacitance present between their spacing results in the characteristic inductance of the rings and the capacitance present between their spacing results in high energy densities that characterize the material as MNG [30]. high energy densities that characterize the material as MNG [30]. Therefore, from the joint application of CLS and SRR, it is possible to obtain a metamaterial that can Therefore, from the joint application of CLS and SRR, it is possible to obtain a metamaterial that be used as superstrate of antennas, resulting in the gain enhancement of these structures [36,39,45–47]. can be used as superstrate of antennas, resulting in the gain enhancement of these structures A more detailed physic-mathematical explanation regarding the functioning of SRR and CLS [36,39,45–47]. structures,A more as detailed well as thephysic-mathematical interaction between explanation them, can beregarding found in the [29 –functioning31,41,48,49]. of SRR and CLS structures,The metamaterial as well as the operating interaction frequency between can them, be definedcan be found from thein [29–31,41,48,49]. resonance frequency of the SRR geometryThe metamaterial adopted. Although operating the frequency SRR can be can designed be defined with from several the resonance shapes [50 frequency–52], the circular of the SRR and geometryrectangular adopted. shapes representAlthough thethe mostSRR can adopted be designed geometries with in several practice shapes due to [50–52], their lower the circular complexity and rectangularand ease of construction.shapes represent Therefore, the most in adopted this paper, geomet only circularries in practice and rectangular due to their SRRs lower were complexity evaluated andfor the ease design of construction. of the proposed Therefore, metamaterial. in this paper, only circular and rectangular SRRs were evaluated for theThe design general of the structures proposed of circularmetamaterial. and rectangular SRR are presented in Figure5, respectively. The general structures of circular and rectangular SRR are presented in Figure 5, respectively. l1
l2
r1
r 2 Scirc Srect Wm
(a) (b)
Figure 5. Examples of Split Ring Resonator (SRR) geometries: (a) circular; (b) rectangular.
For a circular SRR, the resonance frequency can be approximated by Equations (3) and (4) [53]. 𝑓 = , 𝑓 = , (3)
𝑅 =2𝜋𝑟 −𝑆 , 𝑅 =2𝜋𝑟 −𝑆 , (4) where c represents the speed of the light, r1 and r2 represent the external and internal mean radius length, respectively, and Scirc is the existing gap in each ring with external and internal resonance frequencies defined by fC1 and fC2, respectively. Similarly, for the rectangular SRR [53]:
Sensors 2019, 19, x 5 of 27
However, materials such as ENG, MNG, and LHM are not found in nature, requiring the manufacture of resonant structures that emulate such materials. The behavior of an ENG-like material can be emulated from Capacitive Load Strips (CLS) that, for certain frequency ranges, may have higher electron concentrations and an increase in their effective mass, resulting in a negative electrical permittivity [29]. The basic structure of a CLS is presented in Figure 4.
Figure 4. Example of Capacitive Load Strips (CLS) basic structure.
For MNG-type materials, the emulation of their characteristics can be obtained from the use of a Split Ring Resonator (SRR). For specific frequency ranges, the electromagnetic interactions between the characteristic inductance of the rings and the capacitance present between their spacing results in high energy densities that characterize the material as MNG [30]. Therefore, from the joint application of CLS and SRR, it is possible to obtain a metamaterial that can be used as superstrate of antennas, resulting in the gain enhancement of these structures [36,39,45–47]. A more detailed physic-mathematical explanation regarding the functioning of SRR and CLS structures, as well as the interaction between them, can be found in [29–31,41,48,49]. The metamaterial operating frequency can be defined from the resonance frequency of the SRR geometry adopted. Although the SRR can be designed with several shapes [50–52], the circular and rectangular shapes represent the most adopted geometries in practice due to their lower complexity andSensors ease2019 of, 19 construction., 4255 Therefore, in this paper, only circular and rectangular SRRs were evaluated6 of 27 for the design of the proposed metamaterial.
l1
l2
r1
r 2 Scirc Srect Wm
(a) (b)
FigureFigure 5. 5. ExamplesExamples of of Split Split Ring Ring Re Resonatorsonator (SRR) (SRR) geometries: geometries: ( (aa)) circular; circular; ( (bb)) rectangular. rectangular.
For a circular SRR, the resonance frequency can be approximated by Equations (3) and (4)(4) [[53].53]. c c 𝑓 = , 𝑓 = , (3) fC1 = , fC2 = , (3) 2R1 √εre f 2R2 √εre f 𝑅 =2𝜋𝑟 −𝑆 , 𝑅 =2𝜋𝑟 −𝑆 , (4) R1 = 2πr1 Scirc , R2 = 2πr2 Scirc, (4) where c represents the speed of the light, r−1 and r2 represent −the external and internal mean radius length,where crespectively,represents the and speed Scirc is of the the existing light, r1 andgap rin2 representeach ring thewith external external and and internal internal mean resonance radius frequencieslength, respectively, defined by and fC1 Sandcirc isfC2, the respectively. existing gap Similarly, in each for ring the with rectangular external SRR and [53]: internal resonance frequencies defined by fC1 and fC2, respectively. Similarly, for the rectangular SRR [53]: c c fR1 = , fR2 = , (5) 2L1 √εre f 2L2 √εre f
L = 4l Srect 4Wm , L = 4l Srect 4Wm, (6) 1 1 − − 2 2 − − where l1 and l2 represent the external and internal side length, respectively, and Wm is the width of each resonance ring with external and internal resonance frequencies defined by fR1 and fR2, respectively. In order to verify if the designed SRR–CLS set represents a metamaterial (ε < 0, µ < 0), the ε and µ values can be estimated from the refraction index (η) and impedance (z) values, as presented in Equations (7) and (8), respectively [54]. η ε = , (7) z µ = ηz, (8)
where z and η can be defined in terms of coefficients of reflection (S11) and transmission (S21) of the designed set, as presented in Equations (9) and (10), respectively [54]. v u 2 tu + 2 2 1 S11 S21 z = − , (9) 2 ± 1 S2 S2 − 11 − 21 1 n h i h io η = Re ln einkl Im ln einkl , (10) kl −
in which, the S11 and S21 values are represented by its respective magnitude and phase components, Re[] and Im[] represent the real and imaginary components, respectively, k represents the wave number, l the longest metamaterial unit cell length, and einkl is defined as [54]:
S einkl = 21 . (11) z 1 1 S − − 11 z+1 Sensors 2019, 19, 4255 7 of 27
4. Material and Methods The applied methodology was divided in three different stages: computational procedures, laboratory experimental tests, and field application. In the computational procedures, the software High Frequency Structure Simulator (HFSS) from ANSYS Electronics Desktop was used for all the simulation and design processes of the metamaterial (individually and positioned as superstrate). In all the simulations, the substrate is a low-cost fiberglass (FR-4) with εr = 4.4, h = 1.6 mm and loss tangent (δ) equal to 0.02. Moreover, the simulations were performed for the frequency of 200 MHz up to 1600 MHz with a discrete sweep type with 201 points. The solution frequency was centered in 1 GHz (central frequency for the designed antenna) with a maximum number of passes and Delta S equals to 6 and 0.02, respectively. The simulated PMA and metamaterial bandwidths were defined as the entire frequency range at which the reflection coefficient values were below the 10 dB threshold. In addition, the gain values − were also extracted for the individual PMA and the set PMA-metamaterial in order to evaluate the gain enhancement provided by the metamaterial application as superstrate on the bio-inspired designed PMA. Lastly, the radiation patterns were obtained through simulations in order to evaluate if the metamaterial superstrate application resulted into distortions in the original bio-inspired PMA patterns. In the experimental procedures, the designed PMA and the set PMA-metamaterial were built and subjected to comparative measurements of reflection coefficient and gain in an anechoic chamber in order to reduce the effect of external interferences and signal reflections during the tests. Then, the set PMA-metamaterial was used in a PD generator setup in order to estimate the PD detection sensitivity
Sensorsof the 2019 set, regarding19, x IEC 60270 standard method. 7 of 27 Finally, the PMA-metamaterial set was subjected to field application for the detection of partialFinally, discharges the PMA-metamaterial in a 230 kV Current set was Transformer subjected to (CT) field from application a Brazilian for the substation, detection Mussur of partialé II discharges(Chesf—Companhia in a 230 HidrokV Current Elétrica doTransformer São Francisco). (CT) from a Brazilian substation, Mussuré II (Chesf—CompanhiaIn the following subsections,Hidro Elétrica the do computational São Francisco). procedures, laboratory experimental tests, and field applicationIn the following are detailed. subsections, the computational procedures, laboratory experimental tests, and field application are detailed. 4.1. Bio-Inspired PMA Design 4.1. Bio-InspiredFrom the PMA PMA model Design presented in Figure2 and Equations (1) and (2), the bio-inspired PMA based on theFromJatropha the PMAmollissima model(Pohl) presented Baill leaf in was Figure obtained 2 and in [Equations26]. The final (1) dimensions and (2), the of bio-inspiredthe designed PMAbio-inspired based on PMA the inJatropha [26] and mollissima a photograph ( of the Jatropha mollissima (Pohl) Baill leaf are presented in Figure6.
13.2
2
10 1 1.6
0 3
2 3.6 1.5 1 6 1.7
7.5 0.3
20 (a) (b) Figure 6. Bio-inspired PMA: (a) Jatropha mollissima (Pohl) Baill leaf; (b) details of the final designed model Figure 6. Bio-inspired PMA: (a) Jatropha mollissima (Pohl) Baill leaf; (b) details of the final designed (all the dimensions are in centimeters) [26]. model (all the dimensions are in centimeters) [26]. 4.2. Metamaterial Unit Cell Simulations Through Equations (3)–(6) and dimensional fine adjustments, the resonance frequencies of the designed metamaterials unit cells were adjusted to present the DNG feature for the bandwidth within the PD activity frequency range (300–1500 MHz). The final dimensions for the designed rectangular and circular SRR-CLS metamaterial unit cells are presented in Figure 7, respectively.
CLS CLS
(a) (b) Figure 7. SRR models for each metamaterial unit cell (the green strips are the CLS structures): (a) rectangular; (b) circular. In order to characterize the models presented in Figure 7 as metamaterials, each model was simulated individually before the application as superstrate on the PMA. For the unit cells evaluation in electric and magnetic terms (ε and µ), special boundary conditions were established as presented in Figure 8, in which each metamaterial unit cell model is surrounded by perfect electric conductor walls (PEC) and perfect magnetic conductor walls (PMC) in parallel and orthogonal orientations regarding the Z axis, respectively. The unit cell model excitation is performed by two Sensors 2019, 19, x 7 of 27
Finally, the PMA-metamaterial set was subjected to field application for the detection of partial discharges in a 230 kV Current Transformer (CT) from a Brazilian substation, Mussuré II (Chesf—Companhia Hidro Elétrica do São Francisco). In the following subsections, the computational procedures, laboratory experimental tests, and field application are detailed.
4.1. Bio-Inspired PMA Design From the PMA model presented in Figure 2 and Equations (1) and (2), the bio-inspired PMA based on the Jatropha mollissima (Pohl) Baill leaf was obtained in [26]. The final dimensions of the designed bio-inspired PMA in [26] and a photograph of the Jatropha mollissima (Pohl) Baill leaf are presented in Figure 6.
13.2
2
10 1 1.6
0 3
2 3.6 1.5 1 6 1.7
7.5 0.3
20 (a) (b) Sensors 2019, 19, 4255 8 of 27 Figure 6. Bio-inspired PMA: (a) Jatropha mollissima (Pohl) Baill leaf; (b) details of the final designed model (all the dimensions are in centimeters) [26]. 4.2. Metamaterial Unit Cell Simulations 4.2. Metamaterial Unit Cell Simulations Through Equations (3)–(6) and dimensional fine adjustments, the resonance frequencies of the designedThrough metamaterials Equations unit (3)–(6) cells and were di adjustedmensional to fine present adjustments, the DNG featurethe resonance for the bandwidthfrequencies within of the thedesigned PD activity metamaterials frequency unit range cells (300–1500 were adjusted MHz). to present the DNG feature for the bandwidth withinThe the final PD dimensions activity frequency for the designedrange (300–1500 rectangular MHz). and circular SRR-CLS metamaterial unit cells are presentedThe final indimensions Figure7, respectively. for the designed rectangular and circular SRR-CLS metamaterial unit cells are presented in Figure 7, respectively.
CLS CLS
(a) (b) Figure 7. SRR models for each metamaterial unit cell (the green strips are the CLS structures): (a) Figure 7. SRR models for each metamaterial unit cell (the green strips are the CLS structures): rectangular; (b) circular. (a) rectangular; (b) circular. In order to characterize the models presented in Figure 7 as metamaterials, each model was simulatedIn order individually to characterize before the models the application presented in Figureas superstrate7 as metamaterials, on the PMA. each model For wasthe simulatedunit cells individuallyevaluation in before electric the and application magnetic as superstrateterms (ε and on µ), the special PMA. Forboundary the unit conditions cells evaluation were inestablished electric and as magneticpresented terms in Figure (ε and 8,µ ),in special which boundary each metamaterial conditions unit were cell established model is as surrounded presented in by Figure perfect8, in electric which eachconductor metamaterial walls (PEC) unit cell and model perfect is surrounded magnetic cond by perfectuctor electricwalls (PMC) conductor in parallel walls (PEC) and andorthogonal perfect Sensorsmagneticorientations 2019 conductor, 19, regardingx walls the (PMC) Z axis, in parallel respectively. and orthogonal The unitorientations cell model regardingexcitation the is performedZ axis, respectively. by8 of two 27 The unit cell model excitation is performed by two waveports. In this way, it is possible to acquire the S11 waveports. In this way, it is possible to acquire the S11 and S21 values used for the calculation of ε and and S21 values used for the calculation of ε and µ, as presented in Equations (5)–(9). From the ε and µ µ, as presented in Equations (5)–(9). From the ε and µ values, it was possible to classify the unit cells values, it was possible to classify the unit cells as metamaterials (ε < 0 and µ < 0). as metamaterials (ε < 0 and µ < 0).
Figure 8. BoundaryBoundary conditions for the simulated SRR-CLS models. 4.3. Metamaterial Superstrate Simulations 4.3. Metamaterial Superstrate Simulations After the characterization as metamaterials, the simulated metamaterial unit cells were positioned After the characterization as metamaterials, the simulated metamaterial unit cells were in a 3 3 array as superstrates over the bio-inspired PMA as presented in Figure9. positioned× in a 3 × 3 array as superstrates over the bio-inspired PMA as presented in Figure 9.
(a) (b)
Figure 9. Metamaterial superstrates positioned over the bio-inspired PMA: (a) rectangular; (b) circular.
The superstrate height was adjusted so that the reflection coefficient values of the bio-inspired PMA were minimally impacted. The optimal superstrate height was defined as 135 and 125 mm for the rectangular and circular SRRs, respectively. In addition, the final array arrangement was also adjusted so that the gain values provided by the metamaterial superstrates were maximized. These adjustments consisted in some physical parameter variations, such as, the interconnection or not between the CLS of each unit cell, the adjustment in the horizontal and vertical spacing between the cells, the number of cells, and the position of the array regarding the PMA. Then, the horizontal and vertical spacing between the SRR unit cells were defined, respectively, as 10 and 15 mm, for the rectangular SRR superstrate, and as 8 and 14 mm, for the circular SRR superstrate. Moreover, the CLS of both unit cell designs were separated by a 5 mm gap. In addition, in order to attest that the gain improvement was actually coming from the inserted metamaterial structures and not from the dielectric material adopted as superstrate (FR-4), the bio-inspired PMA was also simulated with only the dielectric material as superstrate at similar height. After the application of the simulation settings presented at the beginning of this section in Figure 9 models, the following meshing presented in Figure 10 was obtained.
Sensors 2019, 19, x 8 of 27
waveports. In this way, it is possible to acquire the S11 and S21 values used for the calculation of ε and µ, as presented in Equations (5)–(9). From the ε and µ values, it was possible to classify the unit cells as metamaterials (ε < 0 and µ < 0).
Figure 8. Boundary conditions for the simulated SRR-CLS models.
4.3. Metamaterial Superstrate Simulations Sensors 2019, 19, 4255 9 of 27 After the characterization as metamaterials, the simulated metamaterial unit cells were positioned in a 3 × 3 array as superstrates over the bio-inspired PMA as presented in Figure 9.
(a) (b)
FigureFigure 9. 9.Metamaterial Metamaterial superstrates superstrates positioned positioned over over the bio-inspired the bio-inspired PMA: (aPMA:) rectangular; (a) rectangular; (b) circular. (b) circular. The superstrate height was adjusted so that the reflection coefficient values of the bio-inspired PMA wereThe superstrate minimally impacted.height was The adjusted optimal so superstrate that the re heightflection was coefficient defined asvalues 135 and of the 125 bio-inspired mm for the rectangularPMA were andminimally circular impacted. SRRs, respectively. The optimal In addition, superstrate the height final array was arrangementdefined as 135 was and also 125 adjusted mm for sothe that rectangular the gain values and circular provided SRRs, by the respectively. metamaterial In superstrates addition, the were final maximized. array arrangement These adjustments was also consistedadjusted inso somethat the physical gain values parameter provided variations, by the such metamaterial as, the interconnection superstrates orwere not maximized. between the These CLS ofadjustments each unit cell, consisted the adjustment in some inphysical the horizontal parameter and variations, vertical spacing such betweenas, the interconnection the cells, the number or not ofbetween cells, and the the CLS position of each of unit the cell, array the regarding adjustment the in PMA. the horizontal Then, the and horizontal vertical and spacing vertical between spacing the betweencells, the the number SRR unitof cells, cells and were the defined,position respectively,of the array regarding as 10 and the 15 PMA. mm, forThen, the the rectangular horizontal SRR and superstrate,vertical spacing and as between 8 and 14 the mm, SRR for unit the circularcells were SRR defined, superstrate. respectively, Moreover, as the 10 CLS and of 15 both mm, unit for cell the designsrectangular were SRR separated superstrate, by a 5 mmand gap.as 8 and 14 mm, for the circular SRR superstrate. Moreover, the CLSIn of addition,both unit cell in orderdesigns to were attest separated that the by gain a 5 mm improvement gap. was actually coming from the insertedIn addition, metamaterial in order structures to attest and that not the from gain the im dielectricprovement material was actually adopted coming as superstrate from the inserted (FR-4), themetamaterial bio-inspired structures PMA was and also not simulated from the with dielectric only the material dielectric adopted material as as superstrate superstrate (FR-4), at similar the height.bio-inspired After thePMA application was also ofsimulated the simulation with only settings the presenteddielectric atmaterial the beginning as superstrate of this sectionat similar in FigureSensorsheight. 92019 models,After, 19, xthe the application following of meshing the simulation presented settings in Figure presented 10 was obtained.at the beginning of this section9 of 27in Figure 9 models, the following meshing presented in Figure 10 was obtained.
(a) (b)
FigureFigure 10.10. MeshingMeshing plotplot ofof thethe structuresstructures presentedpresentedin inFigure Figure9 :(9: (aa)) rectangular;rectangular; ( (bb)) circular. circular.
4.4.4.4. ReflectionReflection CoeCoefficientfficient and and Gain Gain Measurements Measurements TheThe reflectionreflection coecoefficientfficient values values were were obtained obtained through through an an ENA ENA E5062A E5062A network networkanalyzer analyzerfrom from AgilentAgilent Technologies.Technologies. ForFor thethe gaingain measurements,measurements, anan experimentalexperimental setupsetup composedcomposed byby aa referencereference antennaantenna (Hyperlog(Hyperlog 30100X:30100X: 380380 MHz–10MHz–10 GHz),GHz), withwith aa 4.54.5 dBidBi meanmean gain,gain, andand thethe antennaantenna underunder testtest (AUT)(AUT) positioned positioned beyond beyond the the far far field field distance distance (R) (R) as as presented presented in in Figure Figure 11 11.. The selected far field distance was defined regarding the maximum operation frequency of PD main activity range in oil, i.e., 1500 MHz [9,10]. Therefore,Anechoic Chamber from the final bio-inspired PMA dimensions and the far field equations presented in [20], the value of R was defined as 1.0 m.
Reference Antenna AUT
Support Support R
Figure 11. Schematic of the experimental setup used in the gain measurement test.
The selected far field distance was defined regarding the maximum operation frequency of PD main activity range in oil, i.e., 1500 MHz [9,10]. Therefore, from the final bio-inspired PMA dimensions and the far field equations presented in [20], the value of R was defined as 1.0 m. From the measured values of transmission and reflection coefficients and reference antenna gain (GR = 4.5 dBi), the designed bio-inspired PMA gain (GD) was calculated according to the adapted Friis equation [20]: