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Research Article A SiPM-Based Trinal Spectral Sensor Developed for Detecting Hazardous Discharges in High-Voltage Switchgear Xiaobing Yu, 1 Chen Shen, 1 Yan Jing, 1 Ming Ren , 2 Haitao Wu, 3 and Lilong Xiao 3 1 Electric Power Research Institute of State Grid Shaanxi Electric Power Company, Xian, 710054 Shaanxi, China 2 School of Electrical Engineering, Xian Jiaotong University, Xian 710049, China 3 Shenzhen Power Supply Bureau, China Southern Power Grid Company Limited, Shenzhen 518054, China Correspondence should be addressed to Ming Ren; [email protected] Received 11 September 2019; Accepted 8 January 2020; Published 28 January 2020 Academic Editor: Grigore Stamatescu Copyright © 2020 Xiaobing Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Electric discharges seriously threat the safety of high-voltage switchgear. In this paper, a spectrum-based optical method is proposed for hazardous discharge monitoring. A SiPM-based trinal spectral sensor is developed with good performances in terms of sensitivity, defect resolution, and risk evaluation. Experiments carried out on two types of articial discharges (i.e., partial discharge and arc discharge) demonstrate that the light intensities coupled in the three spectral bands account for dierent proportions and the ratio among the three components generally experiences a regular change with increase in severity of discharge. The typical spectral ratio values are then acquired for hazard rating of discharge and recognition of discharge types with high condence. 1. Introduction Gas-insulated switchgear and metal-enclosed switchgear have high reliability, low maintenance, and compact size and thus are widely used in a power grid. However, some unavoidable insulation defects derived from manufacture, transportation, assembly, or operation can result in partial discharge (PD) and even electrical arc under a high electric eld, which leads to degradation of the insulation system and even results in insulation failure. With regard to PD, the monitoring detections developed based on the discharge-associated eects such as current ow, electro- magnetic (EM) wave, and acoustic wave [1] have been used for many years, but their applications are still constrained by the common knotty issues in practice including the ape- riodic noises distributed in the whole frequency range of detection, the indenable criteria for fault recognition [2, 3]. For arc discharge, arc light detection is used for relay protec- tion [4], but it cannot respond to weak light emission from PDs. In fact, hazardous discharges with releases of low or high energy are accompanied by light emissions with dif- ferent spectra. By utilizing the spectral information, the type and severity of discharge can be estimated without any com- plex signal processing and algorithms. However, the PD light emission lasts for a very short time (several picoseconds) [5] with low light intensity. A coupling device with high sensitivity, a wide spectral response, and a high-time reso- lution is needed. In this case, the vacuum photomultiplier tube (PMT) is used in detecting PD lights, but its irreducible size, high driving voltage bias, and high electromagnetic interference (EMI) susceptibility restrict its applications in online PD monitoring. With the development of the silicon solid-state photo- electric technology, single-photon-level photosensitive devices have been produced with micropackaging [6]. As the promising alternatives to PMT, the state-of-the-art micro solid-state photoelectric devices such as avalanche photodi- ode (APD) and silicon photomultiplier (SiPM) [7, 8] can serve as the substrate of the multispectral sensor with micro size (~mm 2 ), high quantum eciency (up to ~40%), and excellent EM interference immunity (~1 pC) [9]. In this paper, a trinal spectral sensor array is developed based on Hindawi Journal of Sensors Volume 2020, Article ID 2068280, 9 pages https://doi.org/10.1155/2020/2068280
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Page 1: A SiPM-Based Trinal Spectral Sensor Developed for ...

Research ArticleA SiPM-Based Trinal Spectral Sensor Developed for DetectingHazardous Discharges in High-Voltage Switchgear

Xiaobing Yu,1 Chen Shen,1 Yan Jing,1 Ming Ren ,2 Haitao Wu,3 and Lilong Xiao3

1Electric Power Research Institute of State Grid Shaanxi Electric Power Company, Xi’an, 710054 Shaanxi, China2School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China3Shenzhen Power Supply Bureau, China Southern Power Grid Company Limited, Shenzhen 518054, China

Correspondence should be addressed to Ming Ren; [email protected]

Received 11 September 2019; Accepted 8 January 2020; Published 28 January 2020

Academic Editor: Grigore Stamatescu

Copyright © 2020 Xiaobing Yu et al. This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Electric discharges seriously threat the safety of high-voltage switchgear. In this paper, a spectrum-based optical method isproposed for hazardous discharge monitoring. A SiPM-based trinal spectral sensor is developed with good performances interms of sensitivity, defect resolution, and risk evaluation. Experiments carried out on two types of artificial discharges (i.e.,partial discharge and arc discharge) demonstrate that the light intensities coupled in the three spectral bands account fordifferent proportions and the ratio among the three components generally experiences a regular change with increase in severityof discharge. The typical spectral ratio values are then acquired for hazard rating of discharge and recognition of discharge typeswith high confidence.

1. Introduction

Gas-insulated switchgear and metal-enclosed switchgearhave high reliability, low maintenance, and compact sizeand thus are widely used in a power grid. However, someunavoidable insulation defects derived from manufacture,transportation, assembly, or operation can result in partialdischarge (PD) and even electrical arc under a high electricfield, which leads to degradation of the insulation systemand even results in insulation failure. With regard to PD,the monitoring detections developed based on thedischarge-associated effects such as current flow, electro-magnetic (EM) wave, and acoustic wave [1] have been usedfor many years, but their applications are still constrainedby the common knotty issues in practice including the ape-riodic noises distributed in the whole frequency range ofdetection, the indefinable criteria for fault recognition [2, 3].For arc discharge, arc light detection is used for relay protec-tion [4], but it cannot respond to weak light emission fromPDs. In fact, hazardous discharges with releases of lowor high energy are accompanied by light emissions with dif-

ferent spectra. By utilizing the spectral information, the typeand severity of discharge can be estimated without any com-plex signal processing and algorithms. However, the PD lightemission lasts for a very short time (several picoseconds)[5] with low light intensity. A coupling device with highsensitivity, a wide spectral response, and a high-time reso-lution is needed. In this case, the vacuum photomultipliertube (PMT) is used in detecting PD lights, but its irreduciblesize, high driving voltage bias, and high electromagneticinterference (EMI) susceptibility restrict its applications inonline PD monitoring.

With the development of the silicon solid-state photo-electric technology, single-photon-level photosensitivedevices have been produced with micropackaging [6]. Asthe promising alternatives to PMT, the state-of-the-art microsolid-state photoelectric devices such as avalanche photodi-ode (APD) and silicon photomultiplier (SiPM) [7, 8] canserve as the substrate of the multispectral sensor with microsize (~mm2), high quantum efficiency (up to ~40%), andexcellent EM interference immunity (~1 pC) [9]. In thispaper, a trinal spectral sensor array is developed based on

HindawiJournal of SensorsVolume 2020, Article ID 2068280, 9 pageshttps://doi.org/10.1155/2020/2068280

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SiPM which presents good properties in sensitivity and line-arity as well as pulse resolution. By experiments, it is indi-cated that different types of discharge shows different lightintensity ratios among the three spectral sensitive ranges.Based on this fact, a risk evaluation method is proposed todistinguish the hazardous discharges with low or high energysuch as partial discharge and arc discharge, which makes itpossible to combine the status monitoring and fault protec-tion of switchgear equipment.

2. Working Principle of a Sensor

2.1. SiPM-Based PD Sensor. Unlike vacuum PMT, SiPMintegrates high density of microcells of APD in a microchipwith millimeter-level size. Each APD unit is activated as aphoton is received and generates a self-sustained avalancheionization, which is called Geiger discharge [8]. By integrat-ing the ionization current of APD units and converting thecurrent into a voltage signal, the photon counting can beachieved as the conventional PMT performs. The basic prin-ciple of SiPM is shown in Figure 1.

The signal-to-noise ratio (SNR) and device current noise(DCR) of the SiPM sensor are impacted by the voltage biasapplied; thus, seeking an appropriate applied voltage is essen-tial for PD detection. For the practical PD detection, theapplied overvoltage was determined experimentally.Figure 2 shows the general SNR of the SiPM sensor as a func-tion of applied overvoltage. Finally, the applied overvoltagewas set at 2.0V.

The 3:07 × 3:07mm2 SiPM (SensL-MicroFJ-30035-TSV)is used as the single unit of the sensor array.

2.2. Trinal Spectral Sensor Array. Based on the circuit of thesingle unit, a multichannel sensor readout circuit can bedeveloped with three units including a DC power supply, aSiPM array substrate, and a multichannel analog amplifier,as shown in Figure 3.

The width of the PD pulses (i.e., the time constant)coupled by the unit can be adjusted by changing the imped-ance in the transimpedance amplifier.

According to the discrepancies in the integral spectraldistributions, three ion beam sputtering (IBS) optical filter

sheets with different spectral responses are chosen for multi-spectral detection, i.e.,

Band1 filter (UV): 260nm~380nm UV shortpass;absolute transmission ðTabsÞ > 66%, average transmissionðTavgÞ > 74%; optical depth of 10-3 (OD3)

Band2 filter (VIS): 370 nm~670nm VIS bandpass;Tabs > 86%, Tavg > 90%; OD3 level

Band3 filter (NIR): 745 nm~1980 nm NIR longpass;Tabs > 85%, Tavg > 90%; OD3 level

Figure 4 shows the transmissions of three optical filtersand the photon detection efficiencies (PDEs) of SiPM in thethree spectral bands. With the three optical filter sheetsinstalled in front of three independent SiPM sensors in thearray, three regions of different sensitive spectra are built.The structure and picture of the trinal spectral PD sensorarray are shown in Figure 5.

Figure 6 gives the typical waveforms of the light pulsessynchronously coupled by the three spectral regions of thesensor. It indicates that for a specific discharge, the light

AnodeSiPM

Cathode

RSPAD

R

Carriers

SPAD

Depletionregion

I

h𝜈

p+

n+

nE

Figure 1: Principle of SiPM.

Applied overvoltage (𝛥V)

Optimal range

Surface dischargeFloating discharge

0.00

2

4

6

8

10

SNR

of S

iPM

PD

sens

or

12

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5

Figure 2: SNR of SiPM PD detection vs. applied overvoltage. Theoperating ambient temperature is approximately 25°C. Surfacedischarge and floating discharge in an atmosphere of air areemployed as PD light sources.

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pulses coupled by the three spectral units have the samepulse width (~100 ns) but different magnitudes. In practi-cal detection, all the discharge events can be recorded as½phase ðtimeÞ, magnitude ðrelative intensityÞ�.

To verify the effective detection distance of this sensor,the attenuation of the coupled light intensity with distancebetween the sensor and PD source is obtained experimentallyin a dark background, as shown in Figure 7. It indicates thatthe effective detection distance exceeds 4m which is enoughfor coupling the discharge light inside the actual equipment.The life cycle of SiPM is determined by the APD unit. APD iswith a life cycle of ~105 hours, thus ensuring the sufficient lifecycle of the SiPM-based sensor.

3. Experimental Setup

To explore the availability of the SiPM-based trinal spectralsensor in discharge diagnosis, a simulation experiment sys-tem is built, as shown in Figure 8(a). This system consistsof a high-voltage test chamber, a high-frequency currenttransformer, a trinal spectral sensor, a 100 kV/100 kVA ACtransformer, a high-voltage probe (P6015A, 40 kV peak), amultichannel PD detector, and a digital oscilloscope (LeCroyWaveSurfer 64MXs-B, 600MHz, 10GS/s). An epoxy resininsulator is placed between a rod electrode and a plate elec-trode, which is employed as the discharge model, as shownin Figure 8(b). In the experiment, the ambient temperatureis 27°C and the relative humidity is 45%.

4. Results and Analysis

4.1. Stochastic Detection Pattern

4.1.1. Partial Discharge. In this section, the statistical charac-teristics of the light pulses emitted by PDs in the UV, VIS,and NIR ranges are obtained by means of stochastic detec-tion. As an AC electric field is applied, the time lag and inten-sity of discharge vary periodically with the phase of ACvoltage, based on which phase-resolved partial discharge(PRPD) pattern analysis was proposed for PD diagnosisand defect recognition in insulation systems under AC HV.The PD data in a certain number of applied voltage cyclesare plotted on the phase axis in one voltage cycle. This anal-ysis provides the physical properties and stochastic behaviorsof the discharges. In this case of light pulse detection, theapplied voltage peak U , corresponding phase degree ɸ, andlight pulse magnitude I are simultaneously recorded forthousands of AC cycles with optical detection to plot PRPD.

The signal processing procedure is briefly described asfollows.

(i) Convert the occurrence time of each PD (ti) into thephase angle degree (φi) in the same cycle of ACapplied voltage by using

φi = 2π ti ⋅ T−1 − ti ⋅ T

−1� �� � ð1Þ

where T is the period time of a AC cycle.

(ii) Determine the length of window (l) according to thePD intensity in unit time, and count the number ofPDs in the i-th window (Ni) and calculate the averagemagnitude in the i-th window (Ii) by using

Ii =1Nj

〠Ni

j=1I j ð2Þ

Then, the PRPD pattern can be drawn by plotting eachpoint (φi, Ii, and Ni) recorded over a certain time in a fixedcycle of applied voltage. Figure 9 demonstrates the PRPDsand phase-resolved average light intensity curves for thethree spectral bands at different applied voltage levels. Withincrease in applied voltage, the intensities and active phase

R1R2

R3

R5VDDVDD

C5

0VVEE

++

– +

R4 VEE0V

Output

C4DC

0VC3

C2

C1

Power supply SiPM array Analog amplifier

Figure 3: The readout circuit of the SiPM-based PD sensor array. C1 = C2 = C3 = 10 nF, C4 = 100 pF, C5 = 0:1 μF, R1 = 100Ω, R2 = R5 = 50Ω, R3 = 0:3 kΩ, and R4 = 1 kΩ.

1.2

0.0

PDE

0.1

0.2

0.3

0.4

Ligh

t tra

nsm

ittan

ce

1.0

0.8

0.6

0.4

0.2

0.0200 300 400 500

Wavelength (nm)600

UV band

PDE of SiPM @2V

VIS band

NIR band

700 800 900

Figure 4: Transmissions of the three optical filters and photondefection efficiencies (PDEs) of the SiPM substrate (full band).

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ranges of the light pulses increase gradually. The behaviors ofPDs at negative half cycles show obvious differences to thoseat positive half cycles in terms of PD repetitive rate andmagnitude.

For all cases of different voltages, the light intensity inthe visible spectral band accounts for the majority, whilethat in the near-infrared band accounts for the leastproportion, but with increase in applied voltage, the ratioamong the integral light intensities in the three bands var-ies within a limited range. This rough proportionalityremains unchanged in the whole PD active range frominception to prebreakdown.

4.1.2. Arc Discharge. In the experiment, the arc discharge isgenerated with a rod-epoxy-plate electrode. The arc lengthis controlled by changing the distance between the rod elec-trode and epoxy insulator. The time-domain signals of thelight emission in the full spectral band for the three arc lengthconditions (i.e., 0.5 cm, 1.0 cm, and 2.0 cm) are recorded asshown in Figure 10. Arc discharge is intermittent with a fixedactive period (i.e., active frequency) which is determined bythe arc length. With increase in arc length, the active fre-quency of arc discharge decreases which is also demonstrated

in the light intensity. If the driven power is high enough, theactive frequency is independent of the frequency of the ACvoltage.

With the same stochastic detection but different detec-tion window lengths, the scatter patterns of the light pulsesin the three bands can be obtained synchronously, as shownin Figure 11. It indicates that the intensity components in thethree spectral bands remained unchanged as arc dischargecontinues but account for different proportions. The propor-tion of the visible light component increases with increase inarc length, while the proportions of UV and NIR compo-nents show the opposite. It is also indicated that the ratioamong the three components varies within the limited rangeswith variation of the applied voltage level and arc length. Thisrule is consistent with that of PDs.

4.2. Spectral Ratio Variation. The experimental study showsthat the light intensities coupled in the three spectral bandsaccount for the different proportions and the ratio amongthe three components generally experiences a regular changewith increase in severity of discharge, which means that thespectral distributions can reflect not only the PD type butalso the PD severity. These trinal spectral characteristics pro-vide us a new approach in insulation diagnosis. To quantita-tively investigate the influence of discharge active level on theratio among the intensities in the three spectral bands, the

SiPM-based array

Built-in sensor flange

Optical filter array

Discharge source

Figure 5: The structure and picture of the trinal spectral PD sensor array.

Ligh

t int

ensit

y (a

.u.)

0

1

2

3

4

5

6

2001000 300 400 500Time (ns)

600

VISUV

NIRFull

Figure 6: The PD light pulse waveforms detected by the trinalspectral PD sensor.

Nor

mal

ized

ligh

t int

ensit

y

0.0

0.2

0.4

0.6

0.8

1.0

0.25 0.5 1 2 4Distance (m)

Figure 7: Light intensity attenuation with detection distance. Astable corona discharge (145 pC) is used as the light source.

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AC

TCchamber

PC

PMT

HFCT

SiPMDAC board

CouplingcapacitorHV

divider

(a)

HV HV

GND GND

PDmodel

Arcmodel

Metal rod Metal rodEpoxy

insulatorEpoxy

insulator

Metal plate Metal plate

(b)

Figure 8: Experimental setup: (a) test system; (b) artificial discharge models (PD and arc).

10–3

10

Ligh

t int

ensit

y (a

.u.)

5

0

0 90 180 270 360

UV band

VIS bandNIR band

Phase degree (°)

(a)

VIS band

VIS band

NIR band

Phase degree (°)

–101

Ligh

t int

ensit

y (a

.u.)

2345

0 50 100 150 200 250 300 350

×10–3

(b)

0.04

Ligh

t int

ensit

y (a

.u.)

00.010.020.03

0 90 180 270 360

UV bandVIS band

NIR band

Phase degree (°)

(c)

UV band

VIS band

NIR band

Phase degree (°)

024

Ligh

t int

ensit

y (a

.u.)

68

1012

0 50 100 150 200 250 300 350

×10–3

(d)

0.08

Ligh

t int

ensit

y (a

.u.)

00.020.040.06

0 90 180 270 360

UV bandVIS band

NIR band

Phase degree (°)

(e)

UV band

VIS band

NIR band

Phase degree (°)

0

0.005

Ligh

t int

ensit

y (a

.u.)

0.01

0.015

0.02

0.025

0 50 100 150 200 250 300 350

(f)

Figure 9: PRPDs and phase-resolved average light intensity curves for the three spectral bands at different applied voltage levels. (a) Appliedvoltage = 4 kV (scatter plots). (b) Applied voltage = 4 kV (average intensities). (c) Applied voltage = 6:5 kV (scatter plots). (d) Appliedvoltage = 6:5 kV (average intensities). (e) Applied voltage = 10:5 kV (scatter plots). (f) Applied voltage = 10:5 kV (average intensities).

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–1–0.02

0.020

–0.8 –0.6 –0.4 –0.2 0 0.2 0.4 0.6 0.8 1

0.5 cm

× 10–4

–10

0.20.1

–0.8 –0.6 –0.4 –0.2 0 0.2 0.4 0.6 0.8 1

1.0 cm

× 10–4

–1–0.05

–0.050.1

0

–0.8 –0.6 –0.4 –0.2

Time (s)

0 0.2 0.4 0.6 0.8 1

2.0 cm

× 10–4

Ligh

t int

ensit

y (a

.u.)

Figure 10: The time-domain signals of the light emission in the full spectral band for the three arc length conditions.

0.04

Ligh

t int

ensit

y (a

.u.)

0.02

–0.02–0.04

0

0 90 180 270 360

UV band

VIS band

NIR bandPhase degree (°)

(a)

0.04

Ligh

t int

ensit

y (a

.u.)

0.02

–0.02–0.04–0.06

0

090 180

270 360

UV band

VIS band

NIR bandPhase degree (°)

(b)

0.04

Ligh

t int

ensit

y (a

.u.)

0.02

–0.02–0.04–0.06

0

0 90180

270 360

UV band

VIS band

NIR bandPhase degree (°)

(c)

Figure 11: The scatter patterns of the light pulses in the three bands: (a) arc length = 5mm; (b) arc length = 10mm; (c) arc length = 15mm.

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proportion of the light intensity in the spectral band ki isdefined as

ki = φ−1 ⋅ðφ

Ii ⋅ IFULL−1

!, ð3Þ

where φ is the discharge active phase range, IFULL is the lightintensity coupled in the full spectral band.

Figure 12 shows the variations of the three spectral com-ponents with applied voltage for PDs. It indicates that thelight intensities of the three bands increase monotonicallywith increasing applied voltage but with different gradientsespecially in the PD inception stages and prebreakdownstage, as shown in Figure 12(a). With regard to the ratioamong the three components, it varies in a very limited rangewith discharge level ranging from 250pC to 1.3 nC except forthe PD inception stage with relatively low discharge level, asshown in Figure 12(b).

20181614

Ligh

t int

ensit

y (a

.u.)

1210

86420

5 6 7 8 9 10Applied voltage (kV)

UVVISNIR

11 12 13 14 15 16 17

(a)

0.0

0.1

0.2

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0.5

0.6

0.7

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0.9

Nor

mal

ized

spec

tral

pro

port

ion

1.0

Applied voltage (kV)5 6 7 8 9 10 11 12 13 14 15 16 17

103

102

101

NIRVIS

UV

Disc

harg

e lev

el (p

C)

PD level

(b)

Figure 12: Variations of the three spectral components with applied voltage for PDs (rod-insulator-plate): (a) light intensities in the threespectral bands vs. applied voltage; (b) normalized spectral proportions and discharge level vs. applied voltage.

350

300

250

200

Ligh

t int

ensit

y (a

.u.)

150

100

50

02 5 6 8 10 12

Arc length (mm)

UVVISNIR

14 16 18 20 22 24

(a)

0.0

0.1

0.2

0.3

0.4

0.5

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0.7

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0.9

Nor

mal

ized

spec

tral

pro

port

ion

1.0

Arc length (mm)D

rivin

g po

wer

(kW

)

Arc driving power

0 2 4 6 8 10 12 14 16 18 20 22 24 260.0

0.5

1.0

1.5

2.0

2.5

3.0

NIRVIS

UV

(b)

Figure 13: Variations of the three spectral components with arc length for arc discharge (rod-plate): (a) light intensities in the three spectralbands vs. arc length; (b) normalized spectral proportions and driving power vs. arc length.

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Figure 13 shows the variations of the three spectral com-ponents with applied voltage for arc discharge. It indicatesthat the all the light intensities of the three bands experiencethe up-and-down process with arc discharge length increas-ing from 2mm to 25mm, as shown in Figure 13(a). It canbe seen from Figure 13(b) that the variation trend of the lightintensity is almost consistent with the driving power of thearc discharge which is deemed as the average energy partiallyreleased by light emission in unit time. With regard to theratio among the three components, it remains almostunchanged with arc length increasing from 2mm to 25mmor driving power increasing from 0.4 kW to 2.4 kW.

4.3. Hazard Rating of Discharge. Although the ratios amongthe three spectral components for PD and arc discharge varywith the applied voltage or discharge level, their distributionshave little intersection as shown in Figure 14. For PDs, withincrease in PD level, the total proportions of UV and VISlights decrease from 0.91 to 0.81 and NIR light proportionincreases from 0.09 to 0.20, but the ratio of UV light intensityto VIS intensity stays in the range (0.85, 1). For arc discharge,the light intensities in the three bands change with the driv-ing power, but the ratio of UV intensity to VIS intensity stays

around 0.3 and is almost unaffected by the variations of arclength and driving power.

Table 1 summarizes the typical spectral ratio values forPD and arc discharges at different conditions. Actually, thespectrum of discharge light emission is determined by theenergy release process and the temperature of the electron.Obviously, the difference of energy level between PD andarc discharge is the underlying causes of the difference inspectral ratios for PD and arc discharge. Therefore, the spec-tral ratio can be used as the criterion in evaluations of dis-charge types and discharge risk level with high confidence.According to the spectral ratio, we can determine the follow-ing actions including early prewarning or protection controlin practical use.

5. Conclusion

In this paper, a spectrum-based optical method is proposedfor hazardous discharge monitoring of switchgear equip-ment. Based on the fact that the spectrum of discharge lightemission is determined by the energy release process andthe temperature of the electron, a SiPM-based trinal spectralsensor is developed with good performances in terms of

0.35

0.40

0.45

0.50

0.55

0.60

0.65

0.70

0.75

0.45

UV band

prop

ortio

n

VIS band proportion

0.400.35

0.300.25

0.20

0.08

0.10 NIR

ban

d pr

opor

tion

0.12

0.14

0.16

0.18

0.20

Trinal spectral ratio (PD)Trinal spectral ratio (arc)

High PD level

Low PD level

0.4kW 2.4kW 1.0kW

28pC 1.3nC

Figure 14: Distributions of the trinal spectral ratios for PDs and arc discharge. For PDs, the PD level is ranging from 28 pC to 1.3 nC; for arcdischarge, the driving power is ranging from 0.4 kW to 2.4 kW with arc length changing from 2mm to 25mm.

Table 1: The typical spectral ratio values for PD and arc discharges.

Type of discharge kUV kVIS kNIR PD charge (pC) Driving power (kW)

Weak PD (0.28, 0.44) (0.62, 0.44) (0.09, 0.12) (20, 200) /

Intense PD (0.37, 0.44) (0.43, 0.44) (0.12, 0.20) (200, ~1000) /

Arc discharge (0.21, 0.22) (0.69, 0.71) (0.07, 0.08) / (400, 2500)

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sensitivity, defect resolution, and risk evaluation. Experi-ments indicate that the ratio among the light intensities inthe three spectral bands can be used as the criterion inevaluations of discharge types and discharge risk level. Forweak and intense PDs, their typical spectral ratios distributein the ranges of (0.28, 0.44) : (0.62, 0.44) : (0.09, 0.12) and(0.37, 0.44) : (0.43, 0.44) : (0.12, 0.20), and for arc discharge,the ratio distributes in the range of (0.21, 0.22) : (0.69,0.71) : (0.07, 0.08) and is almost unaffected by the arc lengthand driving power. In practical use, if a hazardous dischargeevent is detected, the following actions including early pre-warning or protection control can be taken timely accordingto the trinal spectral ratio.

Data Availability

The experiment data in this paper are provided in thesupplementary materials.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

Acknowledgments

This work was supported by the National Key Researchand Development Program of China (Grant No.2018YFB0904400) and the National Natural Science Foun-dation of China (Grant No. 51507130).

Supplementary Materials

File “data1” concludes the data of light intensities in the threespectral bands at different applied voltages for PDs(Figure 11(a)). File “data2” concludes the data of normalizedspectral proportions and discharge level at different appliedvoltages for PDs (Figure 11(b)). File “data3” concludes thedata of light intensities in the three spectral bands at differentarc lengths for arc discharge (Figure 12(a)). File “data4”concludes the data of normalized spectral proportions anddriving power at different arc lengths for arc discharge(Figure 12(a)). (Supplementary Materials)

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