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Introduction

Traditionally, mineral oil, obtained from crude petroleum, has been used as transformer oil. Although the growing environmental concerns have pushed bio-degradable ester oils as a substitute transformer oil, mineral oil has remained a successful transformer oil to date. Furthermore, the methods and criteria developed for monitoring the health of the mineral oil and the oil-impregnated paper (OIP) have been well-tested and documented over the last 130 years [1]. Under the electrical and mechanical stress, chemical decomposition of the insulation occurs, which yields various gases, furan compounds, and water. During the dynamic operation of the transformer, these contaminants get distributed in the transformer oil [2]. The amount of certain dissolved insulation degradation by-products in oil is a very important indicator of the condition of the transformer insulation system.

Traditional methods used to estimate the dissolved impurities in oil are generally offline. However, the sampling of the oil and its transportation sometimes alters the composition of the sample. Sensor-based measurement is one of the solutions to overcome the drawbacks of offline methods. Degradation of paper insulation produces various furanic compounds and water as by-products. Moisture also ingresses from outside through a breather, which decreases the insulation's dielectric strength and hastens its deterioration. Therefore, monitoring the moisture content in the insulating oil can give a clear picture of the insulation deterioration [3]. The most stable by-product formed through the decomposition of cellulosic paper insulation is 2-furfuraldehyde (2-FAL), one of many furanic chemicals produced in the oil during insulation degradation. Thus, its concentration can be directly connected to the aging of the solid insulation, which may then give information about the remaining functional life of the power transformers [4].

Conventionally, moisture content in transformer oil is estimated by Karl Fisher titration method [3]. Alternate methods have been explored by researchers as this technique is costly and offline, requiring skilled personnel. In Jiang et al. [2], a Micro-Nano Fiber (MNF) layer is placed on the optical fiber core to measure the moisture content of the transformer oil within the range of 8–80 ppm. Furthermore, moisture content estimation is also being done through capacitive sensors [5]–[7]. Some other techniques described in the literature to measure the moisture and 2-FAL concentrations are liquid chromatography [8], spectroscopic analysis [9], and colorimetry [10]. Researchers have proposed 2-furfuraldehyde (2-FAL) detection sensors based on thin film Molecular Imprinted Polymer (MIP) in Refs. [11]–[14]. The sensing film in these sensors degrades rapidly due to high temperature and oily environment. Recently, sensors have been developed to quantify the moisture and 2-FAL level in transformer oil based on optical fibers [11], [15], [16]. Even though optical sensors are highly accurate, the high cost associated with the expensive equipment and the dependency on skilled human personnel makes them less attractive. Although the sensor-based method facilitates real-time measurement, accuracy, sensitivity, stability, and selectivity pose prominent challenges. In recent times, contactless cross-capacitive sensors have been developed for real-time monitoring of transformer oil, through measuring moisture and 2-FAL concentration [6], [7]. Another study offers key design rules and suggestions for multichannel fringing electric field (FEF) sensors, which provides an in-depth examination of the influence of design criteria, particularly sensor shape, on the functionality of FEF sensors [12]. An analytical study of the inter-digital electrode capacitance for a multi-layered structure is provided in Igreja and Dias [13], Islam et al. [17]. In this work, an inter digital capacitive (IDC) FEF sensor with ZnO as sensing layer is investigated and characterized to detect 2-FAL and moisture in oil.

Currently, the metal oxide semiconductor gas sensors are being used for monitoring of power transformers. ZnO, due to their unique properties and advantages, is one of the most widely used metal oxide for such purposes. ZnO exhibits excellent sensitivity and selectivity toward various gases, such as H2, CO, CH4, C2H6, C2H4, and C2H2, found dissolved in power transformer oil, making it suitable for a wide range of gas detection applications [18]–[20]. It has a large surface area, high electron mobility, and tunable bandgap which enable efficient gas adsorption and reaction, resulting in measurable changes in electrical, optical, or acoustic properties when exposed to target gas species. Additionally, ZnO is relatively low-cost, environmentally friendly, and compatible with micro-fabrication techniques, facilitating its integration into compact and portable gas sensing devices [21]–[23]. When ZnO serves as a sensing film in gas sensors, the change in capacitance is specifically caused by surface reactions and charge transfer processes on the ZnO surface, which alter the electrical characteristics of the sensor. In a nutshell, the mechanisms of adsorption, chemisorptions, surface reactions, charge transfer processes, and changed electron mobility on the ZnO surface are responsible for the change in the capacitance of a ZnO sensing film when exposed to various target analytes [24], [25].

These changes in the electrical characteristics of the ZnO film may be acknowledged and utilized for sensing and detecting purposes. Owing to these attributes, ZnO-based gas sensors hold immense potential for real-time and accurate detection of gas particles in power transformers. Though ZnO offers many advantages as a sensing material, it is not investigated to detect high dielectric constant liquid contaminants in transformer oil. In this work, ZnO is investigated to sense the concentration of moisture and 2-FAL in transformer oil.

Various configurations of IDC thin film sensors with considered sensing material (ZnO) are examined in this paper by simulating them with COMSOL Multiphysics software. The configuration and dimensions of the sensor are determined by simulation based on its sensitivity. Furthermore, IDC sensors with ZnO sensing films are fabricated and used to detect 2-FAL and moisture in transformer oil. The sensors developed for this study have two configurations namely (1-1-1) and (1-3-1). Each configuration has three types: Single side (SS), single side with shielding (SSWS), and Double Side (DS). In the SS type sensors, interpenetrating electrodes are created only at one side of the substrate without any shielding. While SSWS type sensors are provided shielding with only one side electrode. Lastly, in DS type sensors, both sides of the sensor have inter-penetrating electrodes without any shielding. The fabricated sensor is characterized and its sensitivity performance is evaluated. The obtained results are quite encouraging and can be regarded as a significant step toward real-time condition monitoring of oil-immersed transformers to diagnose incipient faults.

The simulation of IDC sensors in COMSOL Multiphysics software is described in Section II. Section III provides detailed fabrication and characterization of the developed sensors. Results obtained in the simulation and experimental analysis are discussed in Section IV, and Section V concludes the paper.

Simulation of IDC sensor

The IDC sensor was simulated using the finite element software COMSOL Multiphysics. Once, the software starts running, physics interface is selected. Among electrostatic, magnetostatic etc., the electrostatic interface is chosen for this work, and the whole study is done in stationary mode. The steps followed for simulation are given in the following section.

Modeling and material assignment

The IDC sensor structure was generated using the geometry feature of COMSOL Multiphysics software. Initially, the substrate is made as a block with specified dimensions of 30 mm in length, 30 mm in breadth, and 1.35 mm in thickness. The IDC sensor electrode structure comprises two interleaved electrode structures. One set of electrode structures is called working electrodes (WE) and another set is called sensing electrodes (SE). Two different electrode structures are made; (1-1-1) type and (1-3-1) type, with two inter-digital electrodes. The total number of fingers in a 1-f-1 sensor configuration is always 13. In the 1-1-1 type IDC sensor, one SE finger is interleaved between two consecutive WE fingers as shown in Figure 1 (a) whereas in the 1-3-1 type sensor, three SE fingers are interleaved between two consecutive WE fingers as shown in Figure 1 (b). As mentioned earlier, each configuration contains 13 fingers and each is 22.225 mm in length, 1.20492 mm in breadth, and 0.025 mm thick. The distance between neighboring fingers (2s) is 0.60246 mm. The relevant materials (Copper, FR4 Epoxy, Transformer Oil, Air, ZnO) were selected from the “add material section” and then allocated to the blocks of the newly formed structure one at a time. The domain of the physics section is determined, after which the terminals of the WE and SE are given the excitation.

Figure 1:

(a) IDC 1-1-1 sensor structure, (b) IDC 1-3-1 sensor structure. IDC, inter-digital capacitive.

WE is given an excitation of 3 V and the SE is kept at an excitation level of 0 V. The excitation of electrode produces FEF, which passes through the sensing layer (ZnO).

Electric field distribution

Figure 2 illustrates the generated electric field distribution for all of the IDC structures that were modeled. A shift in electric field can be noticed between the two sensing patterns representing the presence of contaminants in transformer oil, which in our instance are moisture and 2-FAL, for the structural configurations 1-1-1 and 1-3-1 employing ZnO as a sensing material.

Figure 2:

Electric field distribution for (a) 1-1-1 SS, (b) 1-1-1 SSWS, (c) 1-1-1 DS, (d) 1-3-1 SS, (e) 1-3-1 SSWS and (f) 1-3-1 DS IDC sensors.

Over the IDC electrodes, a layer of ZnO was deposited. The capacitance of the IDC sensor varies exclusively with an increase or decrease in the thickness and/or relative permittivity of the sensing layer. The planned IDC sensors feature electrode lengths (p), widths (w), and thicknesses (z), with a separation of 2s between each finger that is significantly less than its width. The two-dimensional electrode field distribution can be easily solved using the conformal mapping technique with the help of inverse-cosine transform. The solution of conformal mapping can be used to derive an approximate equation of sensor capacitance. Generalized expression for capacitance between WE and SE electrodes of the 1-f-1 configuration sensor is given by Igreja and Dias [13], Cennamo et al. [16]. C1.f=2εeffε0pπsf12Q+fsf12Q+fs+w1(xs)21dx {C_{1.f}} = {{2{\varepsilon _{eff}}\,{\varepsilon _0}p} \over {\pi s}}\int_{{{f - 1} \over 2}Q + fs}^{{{f - 1} \over 2}Q + fs + w} {{1 \over {\sqrt {{{\left( {{x \over s}} \right)}^2} - 1}}}dx} where f is the number of SE fingers in between two adjacent WE fingers. The two configurations used in this paper, (1-1-1) and (1-3-1), have the value of f as 1 and 3, respectively. The width of electrode fingers is represented by Q and 2s is the gap between electrode fingers.

C1.1=2εeffε0pπsss+Q1(xs)21dx {C_{1.1}} = {{2{\varepsilon _{eff}}\,{\varepsilon _0}p} \over {\pi s}}\int_s^{s + Q} {{1 \over {\sqrt {{{\left( {{x \over s}} \right)}^2} - 1}}}dx} C1.2=2εeffε0pπsQ2+2s32Q+2s1(xs)21dx {C_{1.2}} = {{2{\varepsilon _{eff}}\,{\varepsilon _0}p} \over {\pi s}}\int_{{Q \over 2} + 2s}^{{3 \over 2}Q + 2s} {{1 \over {\sqrt {{{\left( {{x \over s}} \right)}^2} - 1}}}dx} C1.3=2εeffε0pπsQ+3s2Q+3s1(xs)21dx {C_{1.3}} = {{2{\varepsilon _{eff}}\,{\varepsilon _0}p} \over {\pi s}}\int_{Q + 3s}^{2Q + 3s} {{1 \over {\sqrt {{{\left( {{x \over s}} \right)}^2} - 1}}}dx}

As per equivalent circuits shown in Figures 3(a) and (b), the total equivalent capacitance value of two configurations 1-1-1 and 1-3-1 are given as Ceq,111=12C1,1 {C_{eq,1 - 1 - 1}} = 12{C_{1,1}} Ceq,131=3[2(C1,1+C1,2+C1,3)] {C_{eq,1 - 3 - 1}} = 3[2({C_{1,1}} + {C_{1,2}} + {C_{1,3}})]

Figure 3:

Equivalent circuit (a) 1-1-1 IDC structure, (b) 1-3-1 IDC structure. IDC, inter digital capacitive.

The values of capacitance C1,1, C1,2, and C1,3 are measured using the equations (2), (3), and (4) respectively. For the two configurations used here, the total equivalent capacitance is computed by the expression (5) and (6).

The considered sensor structure (1-1-1 and 1-3-1) was simulated using COMSOL Multiphysics. The results and its analysis of the simulations are done in Section IV. Fabrication and characterization of IDC sensor with experimental analysis is described in the following section.

Fabrication and characterization of IDC sensor

On the basis of outcome of simulation study, all six types of sensors: SS, SSWS, and DS of 1-1-1 and 1-3-1 type IDC sensors are fabricated and characterized for transformer oil testing.

Material used for the fabrication of the sensor

The following materials were utilized in the construction of the IDC sensors. The materials are as follows: (1) Single sided copper Printed Circuit Board (PCB) sheet, (2) Double sided copper PCB sheet, (3) Industrial rated 2-FAL, (4) Iso-propyl alcohol, ethanol, De-ionized (DI) water, iron chloride, (5) Connecting wires, (6) Zinc Oxide (ZnO) as sensing film.

Steps of sensor fabrication

As shown in Figures 4(a), both single-sided and double-sided PCBs were cut to the size, with dimensions of 30mm by 30mm.The inter-digital electrode structure was created using AutoCAD software, and the pattern was printed on photopaper, as illustrated in Figures 4(b). Thermal pressing was used to transfer the printed IDC pattern from photopaper to copper-clad PCB. The PCB was then immersed in an etching solution made by combining ferric chloride and DI water. This was done for 5–10 min in order to eliminate the copper print from the PCB, which was then washed with cleaning solution and DI water. The created printed construction was left to dry in the open air. The resulting inter-digital electrode structure is depicted in Figures 4(c).

Figure 4:

Sensor Fabrication procedure: (a) Dimension of PCB, (b) Print on photopaper, (c) Print on PCB after thermal press.

ZnO sensing film development

We have performed the deposition of ZnO thin film on a copper electrodes printed substrate using the rf-sputtering technique for the purpose of fabricating IDC thin film sensors. These sensors serve as a sensing layer for the detection of 2-FAL and moisture in oil. The ZnO thin film deposition process was carried out under controlled conditions, specifically in the presence of a vacuum with a pressure of 2 × 10−6 Torr and utilizing 100 W Ar gas plasma for duration of 10 min. The primary aim of the ZnO deposition was to obtain a uniform and well-deposited thin film on the copper electrodes printed substrate. This is crucial for ensuring the efficacy and reliability of the IDC thin film sensors, as an even and consistent ZnO layer is critical for accurate and sensitive detection of 2-FAL and moisture in oil samples. The rf-sputtering technique employed in this research is a widely recognized and effective method for depositing thin films on various substrates. The controlled vacuum conditions and the use of Ar gas plasma at a specific power level allowed for precise control over the deposition process, enabling the production of a desirable thin film on the copper substrate. The successful fabrication of the ZnO thin film through this process paves the way for further investigations into the performance of the IDC thin film sensors for 2-FAL and moisture detection in oil. Fabricated IDC sensors are shown in Figure 5.

Figure 5:

Fabricated IDC sensor (a) 1-1-1 (b) 1-3-1. IDC, inter digital capacitive.

Experimental

The test samples with varying ppm are made through the incorporation of 2-FAL and humidity in transformer oil. To begin, 0.25 g of 2-FAL is mixed with 250 ml of transformer oil to generate a stock solution of 100 ppm. This stock solution is further diluted to yield 10 ppm test samples. Similarly, 20 ppm, 30 ppm, 40 ppm, and 50 ppm solutions are prepared and tested. A sample is taken as pure oil, which has 0 ppm of 2-FAL and moisture.

The experimental setup comprises of a beaker with a volume of 250 mm filled with several transformer oil test samples in which the sensor is immersed as shown in Figure 6. For Capacitance measurements, the soldered side of the sensor is kept outside. The wires are attached to a handheld Inductance, Capacitance, Resistance (LCR) meter, which measures the sensor's capacitance.

Figure 6:

Experimental set up.

Results & Discussions

Different IDC sensors (1-1-1) and (1-3-1) have been simulated and fabricated. Simulation and experimental results are presented and discussed in this section.

1-1-1 Configuration

Response of different type of 1-1-1 electrode structure sensors shown in Figures 7 (a) and (b) illustrate the adjusted curve for predicted and experimental response characteristics for configuration (1-1-1) for SS, SSWS, and DS structures for 2-FAL and moisture. Table 1 shows the sensitivity of all structures with moisture and 2-FAL.

Figure 7:

Normalized sensor response for various structures of 1-1-1 with different concentrations (a) 2-FAL (b) Moisture. 2-FAL, 2-furfuraldehyde.

Sensitivity of 1-1-1 configuration

IDC Sensor Sensitivity

2-FAL (fF/ppm) Moisture (fF/ppm)
SS 40 29
SSWS 72 52
DS 96 72

DS, double side; 2-FAL, 2-furfuraldehyde; IDC, inter digital capacitive; SS, single side; SSWS, single side with shielding.

1-3-1 Configuration

Using the 1-3-1 design, the region between the electrodes is filled with a sensor film of ZnO, and the change in capacitance is recorded for changes in 2-FAL and moisture concentrations ranging from 0 ppm to 50 ppm. A similar procedure was followed for the various layouts of IDC sensors stated earlier in this section. Figures 8(a) and (b) illustrate the normalized curves for simulated and experimental response characteristics for configuration (1-3-1) with SS, SSWS, and DS, for 2-FAL and moisture, respectively. Table 2 shows the sensitivities at various concentrations of 2-FAL and moisture.

Figure 8:

Normalized sensor response for various structures of 1-3-1 with different concentrations (a) 2-FAL (b) Moisture. 2-FAL, 2-furfuraldehyde.

Sensitivity of 1-3-1 configuration

IDT sensor Sensitivity

2-FAL (fF/ppm) Moisture (fF/ppm)
SS 36 28.2
SSWS 64 47.74
DS 92 70.6

DS, double side; 2-FAL, 2- furfuraldehyde; IDC, inter digital capacitive; SS, single side; SSWS, single side with shielding.

Sensor calibration

The experimentally obtained data is used to establish the calibration equation. Thereupon, the knowledge of the response can be used to find the corresponding stimulus. In this work, coefficients of the calibration equation are generated by the curve fitting technique. The capacitance values obtained experimentally corresponding to the known levels of 2-FAL and moisture, have been employed to calibrate the sensor. The calibration equation is a linear fit for all the cases. Tables 3 and 4 display a line fit to the capacitance values for the 1-1-1 and 1-3-1 structures, respectively of the IDC sensor in relation to 2-FAL. The table also displays the most notable deviations of the real response from the linear regression formulas.

Sensor calibration for 2-FAL in (1-1-1) structure

Structure type Linear fit equation Coefficient of determination (R2) Max error (%)
SS y = 0.0371x + 16.728 R2 = 0.9606 1.1
SSWS y = 0.073x + 26.066 R2 = 0.992 0.61

2-FAL, 2- furfuraldehyde; SS, single side; SSWS, single side with shielding.

Sensor calibration for 2-FAL in (1-3-1) structure

Structure type Linear fit equation Coefficient of determination (R2) Max error (%)
SS y = 0.0379x + 12.664 R2 = 0.9884 0.76
SSWS y = 0.0667x + 17.747 R2 = 0.9667 1.6
DS y = 0.0923x + 21.801 R2 = 0.9288 2.2

DS, double side; 2-FAL, 2- furfuraldehyde; SS, single side; SSWS, single side with shielding.

The linear equations for moisture sample capacitance values with the maximum fitting errors are shown in Tables 5 and 6. The maximum non-linearity in sensor's response curves is less than 2.5% for all type of sensors. After acquiring the capacitance value of the measurement instrument, the calibrated response curves can be utilized to determine the humidity/2-FAL level in the oil.

Sensor Calibration for moisture in (1-1-1) structure

Structure type Linear fit equation Coefficient of determination (R2) Max error (%)
SS y = 0.0269x + 16.545 R2 = 0.9606 0.83
SSWS y = 0.0527x + 25.817 R2 = 0.992 0.45
DS y = 0.0736x + 30.293 R2 = 0.9278 1.4

DS, double side; SS, single side; SSWS, single side with shielding.

Sensor calibration for moisture in (1-3-1) structure

Structure type Linear fit equation Coefficient of determination (R2) Max error (%)
SS y = 0.0297x + 12.45 R2 = 0.9884 0.61
SSWS y = 0.0497x + 16.811 R2 = 0.9794 1.1
DS y = 0.0708x + 20.57 R2 = 0.9288 2.1

DS, double side; SS, single side; SSWS, single side with shielding.

IDC sensor characteristics drift

The sensor's repeatability index Rt was calculated using equation (7). The IDC sensor capacitance values for ‘s’ (here, s = 10) identical oil samples are CR1, CR2, CRs; and CP is the mean of these ‘s’ number of readings.

Rt=±[[(CR1CP)2+(CR2CP)2++(CRsCP)2]122(s1)Cp] {R_t} = \pm \left[{{{{{[{{({C_{R1}} - {C_P})}^2} + {{({C_{R2}} - {C_P})}^2} + \ldots + {{({C_{Rs}} - {C_P})}^2}]}^{{\raise0.7ex {1} \!\mathord{\left/ {\vphantom {1 2}}\right.}\!2}}}} \over {2(s - 1){C_p}}}} \right]

For the 1-1-1 configuration the repeatability index of moisture and 2-FAL sensors is 0.00106% and 0.00127%, respectively, whereas the repeatability index for 1-3-1 configuration, of moisture and 2-FAL is 0.00158% and 0.00151%, respectively. These results demonstrate its reproducibility. One of the factors that affects a sensor's functionality over a long length time span is the drift of its electrical characteristics. Due to this flaw, the majority of commercially available thin-film sensors need to be validated every 6–12 months in order to provide accurate and consistent results. Through experimentation, the drift in sensor response over time was also investigated. Figures 9 (a) and (b) shows the variation in capacitance values for transformer oil at 20 ppm moisture for 1-1-1 and 1-3-1 IDC sensor configuration over the period of 30 days.

Figure 9:

Sensor response for 20 ppm moisture for (a) 1-1-1 structure (b) 1-3-1 structure.

Performance comparison

Performance of the proposed IDC sensor is compared with other contemporary sensors is shown in Table 7. Not much work is reported on sensor-based estimation of contaminants in transformer oil. The proposed sensor offers good sensitivity in the measurement of moisture and 2-FAL in transformer to assess condition of paper insulation of an in-service oil immersed transformer.

Comparison of developed sensor with similar sensors

Ref. This work [6], [7] [26] [14] [5] [15] [16]
Method IDC Cross capacitive Cross capacitive Thin film based MIP Thin film parallel plate Optical Optical
Remark Simple and exact Simple and exact Simple and exact Complex Simple Complex Complex
Usage Insulating oil degradation detection Insulating oil degradation detection Non-contact Microdroplet detection 2-FAL detection in transformer oil Detection of moisture in oil Detection of moisture in oil Detection of 2-FAL in transformer oil
Range 0–50 ppm 0–60 ppm ……… 0–20 ppm 0–90 ppm 0–5% 0–2 ppm
Relative humidity
Contactless Yes Yes Yes No No No No
Accuracy High, depends on sensor length High, depend on single length High, depend on single length Moderate Moderate Moderate Moderate
Re-useable Many times Many times Many times Only 1 time Few time Few time Few time
Sensitivity 72 fF/ppm in moisture; 96 fF/ppm in 2-FAL 0.303fF/ppm in moisture, 0.59 fF/ppm in 2-FAL ………. 0.084 pF/ppm 6 pF/ppm ………. ……….

2-FAL, 2- furfuraldehyde; IDC, inter digital capacitive; MIP, molecularly imprinted polymer.

The performance of the developed IDC sensor is compared in Table 7 with other sensors for detection of moisture and 2-FAL. The sensitivity of the sensor is also high, with simple construction. Another advantage of the developed sensor is its reusability and high accuracy which is evident from the performance table.

Conclusion

The IDC sensors are simulated using COMSOL Multiphysics and fabricated to study its feasibility in detection of high dielectric constant contaminants in transformer oil and in monitoring the health of transformer condition and its insulation. The device is simulated for studying its feasibility and fabricated using ZnO as sensing material and is characterized. It has been concluded that the capacitance value and sensitivity decrease with the increased fingers in SE with the total fingers remaining the same while WE fingers are decreased. Another major conclusion is that DS type sensor in 1-1-1 configuration has the best sensitivity for moisture (72 fF/ppm) as well as for 2-FAL (96 fF/ppm). The sensors developed in this work show higher sensitivity for 2-FAL as compared to moisture. The developed sensors show approximately linear characteristics with maximum nonlinearity of less than 2.5% and the repeatability index for moisture detection with 1-1-1 and 1-3-1 configurations is 0.00106% and 0.00158%, respectively, whereas, the repeatability index for 2-FAL detection is 0.00127% and 0.00151%, respectively. The IDC sensor performance can be optimized for enhanced sensitivity by changing the inter-digital configurations, by varying the dimensions and inter-digital configuration of the sensor, the electrode material, and the sensing film in a sensor. The work presented here has a very vast scope for detecting and estimating the insulation degradation by-products that is 2-FAL and moisture in the transformer mineral oil. The sensor can be used for online monitoring of transformer insulation health and is cheap, and easy to use as compared to other reported techniques.

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