1. Introduction
Partial discharge is an early manifestation of insulation failure in gas-insulated switchgear (GIS) and can cause damage and aging of the insulation [
1]. The emergence of partial discharge is due to various factors such as insulation material, product design, production processing and manufacturing, sharp corners and burrs in parts, surface moisture, and poor metal structural part contact [
2,
3,
4,
5]. This paper focuses on five typical types of PD observed in GIS: tip discharge, particle discharge, air gap discharge, surface discharge, and suspension discharge. A comprehensive understanding of these types of PD is essential for the proper maintenance of GIS and to prevent insulation failures.
According to the principles related to the distribution of electromagnetic fields around the power equipment’s partial discharges (PDs), each PD is accompanied by a steep current pulse with a frequency of 300 MHz to 3 GHz, which radiates electromagnetic waves to the surrounding area at the nanometer level [
6]. The testing site contains numerous pieces of power equipment, resulting in a complex actual situation with multiple sources of interference. Common sources of interference include power supply interference, various forms of electromagnetic interference, poor contact of the test circuit or the test equipment’s discharge, interference of the grounding system, and potential discharge of suspended metal objects. Furthermore, interference can enter the monitoring system through the sensor along with the PD signals [
7]. Removal or reduction of PD signal interference is crucial to improving the accuracy and sensitivity of PD detection. The principle of noise reduction can be divided into three parts: the source of interference, the interference path, and late signal noise reduction. Among them, late signal noise reduction is the mainstream research direction, which does not require a detailed analysis of different equipment and environments based on the causes of interference.
Extensive research has been conducted to address the elimination and suppression of interference. In the literature [
8,
9], various digital filtering techniques such as high-pass and low-pass filters, adaptive filters, etc., have been explored. Filters are simple and widely used. High-pass filters effectively remove low-pass signals, and low-pass filters remove high-pass signals. The disadvantage, however, is that they are prone to unclean noise processing. The literature [
10] investigated the use of the short-time Fourier transform (STFT), which involves applying a window to the signal to enable segmented Fourier transforms and facilitate the processing of non-smooth signals. However, the method has certain prerequisites, which are demanding and require certain stability and repeatability of the signal. In [
11], the application of fast Fourier transforms (FFTs) and artificial neural networks was examined to reduce PD noise, with the artificial neural network demonstrating a remarkable signal-to-noise ratio. However, it produces peaks, thus affecting the signal-to-noise ratio, and does not perform well with low-frequency noise. Additionally, the literature [
12] focused on estimating the time delay of analog signals under interference and proposed a time delay estimation algorithm based on fourth-order cumulants and the bispectrum. This has the significant advantage of being insensitive to Gaussian noise with unknown correlation properties. The disadvantages are the need for precise time synchronization and high sampling rate signal acquisition, as well as the need to solve a system of nonlinear equations, which is computationally complex.
Wavelet transforms, as a mainstream denoising method developed from Fourier transforms, have been widely studied [
13,
14,
15]. Wavelet noise reduction typically employs hard or soft thresholding methods, where the signal after hard thresholding becomes coarse and more prone to oscillation. Conversely, the signal after soft thresholding is relatively smooth with good continuity but may have a constant deviation [
16]. Furthermore, in PD noise reduction, wavelet coefficients only consider signal strength without considering time-domain characteristics. This can result in the loss of PD signal details and severe distortion. Additionally, complex signals may introduce errors in noise reduction processing. These issues can impact the reliability of the signal. Considering various environmental, equipment, and material limitations, complete noise elimination based on retaining signal characteristics is not achievable. Therefore, secondary noise reduction processing of the signal is necessary.
This paper proposes a late secondary noise reduction filtering method for gas-insulated switchgear (GIS) based on conventional noise reduction techniques (filters and wavelets), along with a PD denoising algorithm using PRPD (phase-resolved partial discharge). Previous studies on PRPD have mainly focused on identifying discharge patterns [
17,
18], analyzing PRPD to discriminate discharge causes [
19] and achieving crosstalk suppression through PRPD image noise reduction [
20] by extracting dominant ANGPD (adjacent to noise gap partial discharges) clouds via two independent filtering paths. But the method requires preprocessing of the image, and the effectiveness of the preprocessing is affected by the quality of the image. At the same time, the histogram features can be disturbed by random variables. In this paper, we primarily utilize the information such as the rising edge, pulse width, amplitude, synchronous count, and effective signal of the pulse signal obtainable from PRPD to perform the noise reduction process. By inputting the PRPD valid signal and setting two parameters, the interference is analyzed to reduce noise without the need for complex calculations. This can be compared with the frequency and amplitude of periodic narrowband noise computed using the sub-matrix maximum modulus method and suppressed by an inverse phase cancellation technique, as presented in the literature [
21]. Also, UHF PD signals in Gaussian white noise are suppressed by using the singular value decomposition denoising method. The method is simpler and does not require complex calculations.
2. Phase-Resolved Partial Discharge (PRPD)
Feature extraction for PD signals mainly includes phase-resolved partial discharge (PRPD), phase-resolved pulse sequence (PRPS), time-resolved partial discharge (TRPD), and voltage difference (
) [
22]. PRPD mapping is a two-dimensional scatter plot consisting of three representations: apparent discharge (q), discharge phase (φ), and discharge frequency (n). In general, the
x-axis represents the phase, the
y-axis represents the signal intensity, and more points indicate higher discharge pulse density; PRPS mapping is a real-time three-dimensional bar graph, the most critical UHF method for type identification analysis mapping. Typically, the
x-axis indicates the UHF phase, the
y-axis indicates the UHF period, and the
z-axis indicates the amplitude (or signal strength), which can quickly diagnose the insulation status of the equipment; TRPD is a time distribution analysis of the PD pulse signal to analyze the signal characteristics and parameters for pattern recognition; the
distribution is a
pattern, obtained from the PD pulse sequence, indicating the reference voltage difference between two adjacent discharge pulses
’s distribution characteristics. PRPD is currently the most commonly used with stable performance among them.
The traditional approach for PRPD-based feature volume extraction is to introduce five normal distribution statistical operators [
23,
24]: skewness
, kurtosis
, phase asymmetry
, discharge asymmetry
, and cross-correlation factor
. The formula is as follows:
Skewness
: Reflects the left-right skew of the graph shape concerning the normal distribution (
> 0 left skew,
= 0 symmetric,
< 0 right skew):
where
is the phase of the ith phase window;
,
, and
denote the probability, mean, and standard deviation of the occurrence of events in phase window
, respectively.
Kurtosis
: The degree of protrusion of the data relative to the shape of the ortho distribution (the steepness of the ortho distribution is 0,
> 0 plot profile is sharper and steeper than the ortho distribution, and
< 0 plot profile is flatter than the ortho distribution profile):
where the meaning of the parameter is the same as Equation (1).
Phase asymmetry
: The difference in the onset phase of the discharge in the positive and negative half of the
spectrum:
where
,
are the starting phase angles of the discharge in the positive and negative half circumference of the
spectrum, respectively.
Discharge asymmetry
: The difference in the average discharge in the positive and negative half-weeks of
spectra:
where
,
are the sums of positive and negative half-cycle discharges of
spectra, and
,
are the sums of positive and negative half-cycle discharges of
ranges, respectively.
The cross-correlation factor
: The degree of shape similarity of the spectra in the positive and negative half-perimeter (
close to 1 is similar to the positive and negative half-perimeter profiles of the
ranges, and close to 0 indicates a huge difference):
where
,
indicate the average discharge within the positive and negative half-week of the phase window, respectively.
3. Experimental Setup
Currently, the existing devices for detecting PD are classified according to the occurrence of different phenomena, often accompanied by ultrasonic waves, pulse signals, gas, light, and thermal energy, resulting in various detection methods such as UHF pulse current and chemical detection. In laboratory and field monitoring, coupling capacitance, UHF, ultrasonic, chemical, and other types of local discharge detection methods are usually used to obtain the PD signal according to the signal characteristics of the law of type identification and localization of PD. Among them, the UHF method is a particularly efficient PD detection method. It has a more significant advantage than other PD detection methods in wisdom network fusion [
25,
26,
27], cost, anti-interference ability, positioning ability, portability, etc. Therefore, this experiment is based on the UHF method.
3.1. Experimental Platform Design
The laboratory uses a GIS PD fault simulation system containing five single PD mode models: a built-in non-PD high-voltage transformer, gas insulation can, UHF probe, discharge model, PD measurement coupling capacitor, square wave injection port, and other parts. It can simulate five types of PD: tip discharge, particle discharge, surface discharge, air gap discharge, and suspension discharge. The system can arbitrarily set the discharge type in the charged working mode; control the starting voltage, extinguishing voltage, and discharge intensity of the discharge signal; and test each discharge type by the mature coupling capacitance method and UHF method. The experimental platform is shown in
Figure 1 below. During the experiment, the GIS PD fault simulation system sets the discharge model artificially. The voltage is slowly increased until the PD signal appears on the PD instrument. The discharge intensity is gradually increased within a specific range to control the discharge intensity, and the voltage is reduced to zero at the end of the test. The function of the square wave injection port is only used to calibrate the partial discharge detection system using the coupling capacitance method. During the PD test, it is suspended, does not come into contact with the inside, and does not participate in the PD test.
The specific calibration process is to apply appropriate discharge pulses through the standard pulse generator. The calibration is completed when the discharge (pC) value to be calibrated equals the value selected by the calibration pulse generator. Generally, 50 pC and 100 pC standard pulses are injected.
The UHF method of detection with more vital anti-interference ability and higher sensitivity is used. Also, the GDJF-2006S digital PD detection system connected to the coupling capacitor is used to measure the PD signal; the system has more vital anti-interference ability, a detection sensitivity of 0.1 pC, a dynamic range greater than 80 dB, and a measurement bandwidth of 3 dB under the bandwidth range of 10 kHz–1 MHz.
3.2. Sensitivity Test Platform Design
According to the Q-GWD UHF method, the PD technical detector was specified for testing sensitivity, and a standard UHF sensor was first selected. The sensor has an average effective height of 16.5 mm and a minimum effective height of 6.7 mm in the 300–1500 MHz frequency band, as shown in
Figure 2 below.
The equivalent height, which is the ratio of the amplitude of the sensor’s output voltage to the amplitude of the electric field strength of the incident electromagnetic wave, describes the coupling performance of a sensor [
28]. M. D. Judd [
29,
30] et al. pioneered the use of a gigahertz transverse electromagnetic (GTEM) test cell to measure the equivalent height of a UHF sensor to characterize the sensitivity of the sensor. This has been recommended and used by domestic and foreign power systems and sensor manufacturers. Currently, the performance of UHF sensors in China’s power industry standards is based on GTEM test cell. The measurement of the equivalent height of the sensor needs to borrow the transfer function
of the reference sensor. The voltage response value of the sensor under the pulse electromagnetic field within the frequency band range of 300–1500 MHz in the GTEM cell is measured, and the effective height of the tested sensor is calculated according to the following formula (6). Then the average value in the frequency band of 300–1500 MHz is calculated to obtain the average effective height of the tested sensor.
where
and
are the measured voltage responses of the measured sensor under testing and the reference sensor, respectively, to the pulsed electric field at the location of the sensor in the GTEM cell.
A calibrated transient electric field is established in the GTEM cell, and the UHF sensor is placed at the opening of the GTEM cell and connected to the designed GIS PD detection system, as shown in
Figure 3 below.
5. Experimental Testing
The equipment was connected in the laboratory, as shown in
Figure 8 below. The PD simulation system was turned on, but no PD fault model was set; the detected spectrum is shown in
Figure 9 below. The simulation system was powered off, and the PRPS spectrum did not change. No PD signals were injected, but there was a pulse in the spectrum, which is obviously noise. The presence of noise interfered with the usual acquisition and analysis of the partially weak PD signal, which was easily drowned in the noise and also affected the system’s sensitivity.
5.1. Noise Reduction Treatment
PRPD data were imported, PRPD was converted into pulses, and the pulse signal’s effective signal and width were extracted.
First, the periodic interference was filtered. The experiment set the periodic signal parameter to 500, considered the signal at each effective signal interval count of 500 ± 80 as the interference signal, and masked it, where 500 is the average calculation of eight cycles of spacing and 80 is the value of dynamic adjustment, according to the actual shielding effect of adjustment. Finally, in filtering non-periodic interference, the experiment was set in the pulse width of the parameter 8; 8 ± 2 pulse width signal was specified as the interference signal, shielded, and delayed to obtain the filtered signal, where 8 was calculated according to the sampling rate to accept, 2 was the value of dynamic adjustment to obtain the optimal value. The waveform of the noise signal before and after the PRPD filtering process was obtained through simulation, as shown in
Figure 10 below. The signal-to-noise ratio was tested before and after using the PRPD filtering algorithm, as shown in
Figure 11 below.
Figure 12 shows the PRPS mapping after the secondary noise reduction.
The signal-to-noise ratio is calculated as
where
is the amplitude of the signal and
is the amplitude of the noise.
The SNR using only conventional noise reduction is SNR = 20 log2.5 = 7.96 dB.
The SNR after the PRPD filtering algorithm is SNR = 20 log5 = 13.98 dB.
The experiment proves that after using this noise reduction algorithm, the signal-to-noise ratio of the device was significantly improved.
5.2. Identification of PD Type
Five PD types were simulated separately by the PD simulation system, and the PRPS profiles of various kinds of devices after the noise reduction treatment were recorded relative to the typical profile characteristics [
33,
34].
Figure 13 below shows the PRPS profiles obtained by simulating each discharge type through the PD simulation system.
Figure 14 shows the PRPS map obtained by the digital PD at this time. Because the digital PD instrument uses only internal synchronization, the phase is different from the plots simulated by the designed PD analog system, but it conforms to the discharge characteristics, which are used here as a comparison.
(1) The characteristics of the tip discharge are more discharges, small dispersion of discharge amplitude, and uniform time interval. The polarity effect of the discharge is obvious and usually appears only in the negative half of the corresponding week of the operating frequency.
The PRPS pattern detected by the simulated tip discharge experiment is shown in
Figure 13a below, which is consistent with the characteristics. The PRPS map obtained from the digital PD instrument at this time are shown in
Figure 14a below.
(2) The characteristics of the particle discharge are the wide distribution of discharge amplitude, unstable interval, inconspicuous polarity effect, and distribution of discharge signal throughout the entire working frequency cycle.
The PRPS pattern detected by the simulated particle discharge experiment is shown in
Figure 13b below, which is consistent with the characteristics. The PRPS map obtained from the digital PD instrument at this time are shown in
Figure 14b below.
(3) The air gap discharge is characterized by a low number of discharges, low period repeatability, and scattered amplitude, but the discharge phase is more stable and has no apparent polarity.
The PRPS pattern detected by the simulated air gap discharge experiment is shown in
Figure 13c below, which is consistent with the characteristics. The PRPS map obtained from the digital PD instrument at this time are shown in
Figure 14c below.
(4) The characteristics of the suspension discharge are the stable discharge pulse amplitude, the same adjacent discharge time interval, and a polarity difference between the positive and negative half-wave detection signals when the suspended metal body is asymmetric.
The PRPS pattern detected by the simulated levitation discharge experiment is shown in
Figure 13d below, per the characteristics. The PRPS map obtained from the digital PD instrument at this time are shown in
Figure 14d below.
(5) The surface discharge is characterized by large dispersion of discharge amplitude, unstable discharge time interval, and insignificant polarity effect.
The PRPS pattern detected by the simulated surface discharge experiment is shown in
Figure 13e below, which is consistent with the characteristics. The PRPS map obtained from the digital PD instrument at this time are shown in
Figure 14e below.
The five discharge type mappings are all consistent with the typical PD type characteristics, proving that the noise reduction algorithm does not affect the PD type’s discrimination and retains the PD signal’s characteristics.
5.3. Sensitivity Test
Because the output UHF signal waveform is only a response to the current change rate at the discharge source, it is not directly related to the change in the charge amount. The apparent discharge in traditional measurement is due to the charge change on the surface of the equipment caused by partial discharge, so there is no direct relationship between the UHF signal and apparent discharge [
35], and the sensitivity cannot be expressed by pC. The system’s sensitivity was further tested according to relevant research and power industry standards [
33,
36]. The designed signal acquisition and processing module was connected to the UHF sensor placed in the GTEM cell opening, and the output voltage amplitude of the calibration source was adjusted so that the detection system reliably reflects the calibration signal with a signal-to-noise ratio of not less than 2. The minimum transient electric field strength peak
that can be detected by the observation device is the point where the minimum transient electric field strength peak is the system’s sensitivity [
37]. The sensitivities before and after the secondary noise reduction using the PRPD noise reduction algorithm were tested separately and are shown in
Table 1 below.
The sensitivity of the PD detection system is 1.8 V/m when tested in the GTEM cell with conventional noise reduction processing only and 1.138 V/m when tested with the PRPD noise reduction algorithm with secondary noise reduction processing. The smaller the minimum transient electric field strength peak, the better the sensitivity [
38], and it is obvious from
Table 1 that the PD detection system meets the requirements of the Chinese Q-GWD UHF method PD charged technical detector specification that the signal-to-noise ratio of the monitoring device (including the sensor) is not less than two times when detecting the transient electric field strength peak of 7 V/m in the GTEM cell. The system sensitivity is significantly improved after the PRPD secondary noise reduction process.
After using this noise reduction algorithm, the device was compared with a digital PD detection system (coupled capacitor method) while connected to a PD simulation system. The thresholds at which the PD signals can be monitored by the two monitoring devices of each type were tested intermittently twenty times, and the average value was taken, as shown in
Table 2 below.
The smaller the analog voltage value, the higher the sensitivity.
Table 2 shows that the device’s sensitivity is also slightly better than that of the GDJF-2006S digital PD detection system after using the PRPD noise reduction process.
5.4. On-Site Testing
As shown in
Figure 15 below, tests were performed in the field against a digital localizer with an oscilloscope. The equipment operated normally, with no partial discharges occurring. The site was noisy, with many sources of interference. Noise was evident in the plot before using the secondary filtering algorithm. After using the PRPD secondary filtering algorithm, there was no obvious noise in the map, effectively filtering out the noise in the field, consistent with
Figure 12 above.