energies
Article Experimental Assessment on Air Clearance of Multiple Valve Unit Considering Switching Impulse and DC Superimposed Switching Impulse
Jae-Hong Koo 1 , Jae-Kyu Seong 2, Ryul Hwang 3 and Bang-Wook Lee 3,* 1 Department of Electronic Systems Engineering, Hanyang University, Ansan-si 15588, Korea; [email protected] 2 Power & Industrial Systems R&D Center, Hyosung Corporation, Ansan-si 14080, Korea; [email protected] 3 Department of Electrical and Electronic Engineering, Hanyang University, Ansan-si 15588, Korea; [email protected] * Correspondence: [email protected]
Received: 4 May 2020; Accepted: 5 June 2020; Published: 9 June 2020
Abstract: Multiple valve unit (MVU), which converts AC to DC and DC to AC, is one of the key elements of high voltage DC (HVDC) transmission. Therefore, the insulation design of MVU against overvoltage should be considered for the stable and reliable operation of HVDC transmission system. Especially, the air clearance of MVU should be calculated based the switching impulse, since it is fatal to MVU in terms of electrical insulation. However, the previous studies were limited to wave front, and the air clearance of the switching impulse is specified only for an ultra-high voltage (UHV) above 750 kV. As a result, it is difficult to calculate the air clearance of MVU which must endure for a switching impulse under 750 kV. In addition, when the switching impulse introduced while the MVU is in normal operation, it is superimposed to DC and creates the most severe situation, but the studies on such subjects are also insufficient. Therefore, as a fundamental step to calculate the air clearance of MVU, the dielectric characteristics of switching impulse and DC superimposed switching impulse in air have been investigated. The experiments on switching impulse showed that the critical flashover voltage was varied according to the curvature of electrode in the gap distance, up to eight times of the electrode radius. However, beyond that gap distance, the critical flashover voltage became similar, regardless of the radius of electrodes. In case of the superimposed experiment, it was performed according to DC pre-stress level and the polarities of switching impulse. The results were most severe when the positive switching impulse was superimposed on the positive DC, and the peak voltage at which flashover occurs was independent of DC pre-stress.
Keywords: air clearance; critical flashover voltage; DC; DC pre-stress; dielectric characteristics; HVDC; multiple valve unit; superimposed; switching impulse
1. Introduction The high voltage DC (HVDC) transmission system consists of three basic parts: (1) converter station to convert AC to DC, (2) transmission line, (3) second converter station to convert back to AC. HVDC transmission systems can be configured in many ways, based on cost, flexibility, and operational requirements. One of the most important factors that constitutes the HVDC transmission system is multiple valve unit (MVU), which converts AC into DC or DC into AC. The MVU is loaded high operating voltage, and many elements of MVU, such as thyristors or insulated gate bipolar transistors (IGBTs), are connected in series and these are operated in a valve hall in a HVDC converter station [1]. For the protection of these elements and the safe operation of MVU, reliable insulation design is
Energies 2020, 13, 2958; doi:10.3390/en13112958 www.mdpi.com/journal/energies Energies 2020, 13, 2958 2 of 13 essential. As a fundamental step of insulation design, the air clearance of MVU that can endure overvoltage should be calculated. Therefore, research on the precise air clearance calculation that does not cause the flashover between MVU and the ground, the wall, and the ceiling of HVDC converter valve hall should be preceded. Prior to the study of calculating the precise air clearance, it is necessary to examine the types and characteristics of overvoltage introducing into the MVU. Representative overvoltage can be divided into lightning impulse, switching impulse, and DC overvoltage. Lightning impulse should be considered in outdoor facilities such as HVDC yards, transmission tower, etc., and it can be protected by lightning arrester. Also, it is a minor design factor in the HVDC system, where the submarine or underground line is mainly composed, and facilities located indoors, such as MVU, can be protected by the grounding design of the converter station. In the case of DC overvoltage, it can be regarded as an important factor in HVDC power equipment protected by an insulant that causes space charge or surface charge accumulation. However, the situation is different when it comes to switching impulse. When a fault location is separated from the system, the switching impulse occurs and introduces into the MVU. The switching impulse has a relatively long duration so that it makes large load on the power device even with the same amplitude compared to a lightning impulse. Accordingly, in order to calculate the air clearance of the MVU, it is essential to analyze the dielectric characteristics of switching impulse in air. In case of AC, the standard insulation levels of power apparatus under 245 kV are not specified for the switching impulse, and the insulation design for it is based on lightning impulse standard insulation levels. For the equipment over 245 kV, both lightning impulse and switching impulse are stated [2]. This is because the standard insulation level of lightning impulse can cover that of switching impulse for the power devices under 245 kV. On the contrary, there is no actual announcement about standard insulation levels for DC, and the study on it is also insufficient. In addition, the fact that the air clearance of the switching impulse withstands voltage only for the amplitude over 750 kV is stipulated, which implies that the studies on switching impulse for the voltage levels, from tens of kilovolt to 750 kV, are absent [3]. There are many impulse voltage flashover experiments for the estimate of the critical flashover voltage of air for short and long gap distances. The definition of critical flashover voltage, which is also called critical flashover voltage, is the amplitude of voltage of a given waveform that, under specified conditions, causes flashover through the surrounding medium on 50% of the voltage applications. The experiments on measuring the critical flashover voltage of air with lightning and switching impulse for diverse electrode configuration such as needle-plane and needle-needle electrode, i.e., extremely non-uniform field, are reported by R. Arora et al. The experiments were conducted for both positive and negative polarities and for gap distances up to 150 mm [4]. The report shows that the dielectric characteristics of air are the most vulnerable to positive switching impulse under extremely non-uniform field. Therefore, the dielectric characteristics of positive switching impulse should be investigated so as to calculate the air clearance of power apparatus. In the case of conventional research before the 1990s, there are lots of experiments on analysis of the dielectric characteristics of impulses in air. L. Paris et al. had reported the dielectric characteristics of air for diverse electrode configuration, such as rod–plane, rod–rod, conductor–rod, etc. The experiments include both switching impulse and lightning impulse for both polarities, positive and negative. The gap distances were up to 6 m for switching impulse, and 10 m for lightning impulse [5,6]. However, the waveform of switching impulse was 120/4000 µs, which is quite different from that of the standard switching impulse defined as 250/2500 µs [7]. H. M. Schneider and F. J. Turner studied for the switching impulse behavior of UHV station electrodes, by investigating the performance of sphere–plane electrode configuration for gap distances 1 m to 11 m. In this case, a diameter for the high voltage applied electrodes between 0.5 to 1 m was used. The wave front of this study was between 75 to 1220 µs, but does not fit the standard switching impulse, either [8,9]. F. A. M. Rizk had also reported the dielectric characteristics of the switching impulse in air for double toroid electrodes and sphere–plane electrode Energies 2020, 13, 2958 3 of 13 configuration up to gap distance 4.55 m, but impulse wave front was 5 to 500 µs [10]. The reports of G. Gallet et al. had showed the most enormous gap distance range from 1 to at least 30 m for diverse impulse wave front, but it also does not meet standard switching impulse [11]. More recent research has been started to show the dielectric characteristics of the standard switching impulse in air. The study on gap distances up to 150 mm for diameter of 250 mm sphere electrode under standard switching impulse had been carried out by D. E. Gourgoulis et al. [12] For the long gap distance experiments, two different electrode configurations: rod-plane, sphere–plane for gap distances 3 m and 4 m was verified by S. Chen et al. and 2 m to 5 m by J. Cao et al. [13,14] Although these studies on the dielectric characteristics of air for impulses have been reported, there is no overall study on standard switching impulse in air for voltage level up to 750 kV. The test results of conventional and recent studies showed that the dielectric characteristics of impulses in air vary not only with the impulse wave front, but also with the curvature of the electrode. Since the structure of MVU has various curvature, the dielectric characteristics of impulses in air must be analyzed according to the curvature of electrodes. The switching impulse is usually introduced MVU into when HVDC converter station is on normal operation, i.e., DC pre-stress of a level corresponding to the operating voltage is applied. As a result, the introduced switching impulse is superimposed to DC operating voltage and causes the most severe situation. Moreover, DC and switching impulse have their own polarities, dielectric characteristics according to them should be analyzed. As mentioned above, DC overvoltage can be regarded as an important factor in HVDC power equipment protected by an insulant; tests for such cases are usually studied and specified. Many studies have been conducted on the DC cable based on space charge or surface charge, and through theses research, the DC superimposed lightning and switching impulse tests for cables with extruded insulation and their accessories up to 320 kV was stipulated [15]. The research on DC spacer is also studied for metallic particle behavior, temperature, gases, etc. [16–18]. There is also research on DC superimposed switching impulse dielectric characteristics of air, but they are limited to experiment on overhead line from several meters to tens of meters [19–21]. For example, N.L. Allen et al. conducted experiments on DC superimposed switching impulse for tube–plane electrode configuration. The gap distances were 0.5 m and 0.8 m. However, the waveform of switching impulse was 240/1200 µs, 190/800 µs, and 180/1400 µs, which is different from the standard impulse [21]. In other words, the study on DC superimposed standard switching impulse is even more insufficient. Consequently, it is necessary to study the dielectric characteristics of the DC superimposed switching impulse in air. For these reasons, in this work, the critical flashover voltage of air of standard switching impulse according to gap distances from tens of millimeters to thousands of millimeters and the curvature of electrodes have been measured as a fundamental study for the precise calculation of the air clearance of MVU. In addition, the dielectric characteristics of DC superimposed standard switching impulse in air had been investigated according to DC pre-stress level and polarities of standard switching impulse.
2. Experimental Set-Up and Methods
2.1. Electrode Configuration The electric field analysis using COMSOL multiphysics to determine the electrode configuration of the experiment was conducted. The wall, floor, and ceiling of the HVDC converter valve hall can be assumed to be an infinite plane when it compared to the MVU. Accordingly, the electric field analysis for sphere–plane and electrode configuration was performed. The radii of high voltage applied electrodes (HV electrodes) were 12.5 mm, 25 mm, 50 mm, and 75 mm, which were supposed to be used in the experiment. The radii of the grounded plate electrode were 0.5 m, 1 m, 1.5 m, 2 m, and infinite. The gap distances were 0.5 m and 1 m. In electric field analysis, 2d axisymmetric geometry was used. The outer boundary was set to ground and infinite size, to create the same condition as the experiment. Energies 2020, 13, 2958 4 of 13 Energies 2020, 13, x FOR PEER REVIEW 4 of 14
For the infinite case, the grounded electrode was connected to the outer boundary to make it infinite boundary to make it infinite ground. On the contrary, the grounded electrode was separated from ground. On the contrary, the grounded electrode was separated from the outer boundary finite case, the outer boundary finite case, and the electric field analysis was conducted. and the electric field analysis was conducted. The electric field analysis results are shown and summarized in Figure 1 and Table 1, The electric field analysis results are shown and summarized in Figure1 and Table1, respectively. respectively. The values in table represent the percentage of maximum electric field of finite The values in table represent the percentage of maximum electric field of finite grounded plate case grounded plate case compared to that of infinite grounded plate case, in percent. We assumed that compared to that of infinite grounded plate case, in percent. We assumed that configuration of HV configuration of HV electrode and grounded electrode can be considered as MVU and the HVDC electrode and grounded electrode can be considered as MVU and the HVDC converter valve hall when converter valve hall when it exceeds 95%. As shown in Table 1, values are greater than 95% for all it exceeds 95%. As shown in Table1, values are greater than 95% for all cases when the radius of the HV cases when the radius of the HV electrode is 12.5 mm. However, values under 95% are observed for electrode is 12.5 mm. However, values under 95% are observed for the other cases. The radius of the other cases. The radius of the 75 mm HV electrode shows the lowest percentage among them, and the95% 75 transition mm HV electrode occurs between shows thethe lowestgrounded percentage electrode among radius them, of 1 m and and 95% 1.5 transitionm. Therefore, occurs the between detailed theelectric grounded field electrodeanalysis should radius ofbe 1conducted m and 1.5 m.for Therefore,1 m to 1.5 them grounded detailed electric electrode, field in analysis order to should find out be conductedthe accurate for 95% 1 m transition to 1.5 m grounded point. electrode, in order to find out the accurate 95% transition point.
(a) (b)
FigureFigure 1. 1.Electric Electric field field analysis analysis results results ((a) Infinite ((a) Infinite grounded grounded electrode, electrode, (b) Finite grounded(b) Finite electrode).grounded electrode)). Table 1. Electric field analysis results for determining the electrode configuration.
High voltageTable (HV) 1. ElectrodeElectric field analysisGap Distance results (m) for determining the electrode configuration.Gap Distance (m) HV Electrode Radius 25 (mm) Radius 12.5 (mm) 0.5 1 0.5 1 High voltage (HV) 0.5Gap Distance 98.0 (m) 96.4 HV Electrode 0.5Gap Distance 95.9 (m) 92.9 Grounded Grounded Electrode 1 99.6 99.0 1 99.2 97.9 Electrode Radius 0.5 1 RadiusElectrode 25 (mm) 0.5 1 Radius (m) 1.5 99.9 99.6 1.5 99.7 99.2 Radius (m) 12.5 (mm) 2 99.9 99.8 2 100 100 Grounded 0.5 98.0 Gap Distance 96.4 (m) Grounded 0.5 95.9 Gap Distance 92.9 (m) HV Electrode Radius 50 (mm) HV Electrode Radius 75 (mm) Electrode 1 99.6 0.5 99.0 1Electrode 1 99.2 0.5 97.9 1 0.5 91.6 86.5 0.5 87.3 80.7 Radius 1.5 99.9 99.6 RadiusGrounded 1.5 99.7 99.2 Grounded Electrode 1 98.2 95.7 1 97.1 93.5 Electrode (m)Radius (m) 2 1.599.9 99.4 99.8 98.3(m) 2 1.5100 99.0 100 97.4 Radius (m) HV Electrode 2Gap Distance 100 (m) 99.0 HV Electrode 2Gap Distance 100 (m) 99.0 Radius 50 (mm) 0.5 1 Radius 75 (mm) 0.5 1 GroundedThe simulation 0.5 results are91.6 shown in 86.5 Table 2. Moreover,Grounded 95% 0.5 transition 87.3 occurred when 80.7 grounded electrodeElectrode radius was1 1.2 m.98.2 Consequently, 95.7 two 2.4Electrode1.2 m plate 1 aluminum97.1 were attached 93.5 to form a × groundedRadius electrode 1.5 with a size99.4 of 2.4 2.4 98.3 m. FigureRadius2a,b shows 1.5 the HV electrodes99.0 and 97.4 the test view × used in(m) the experiments,2 respectively.100 The 99.0 HV electrodes(m) material 2 is aluminum,100 and 99.0 a curvature of a 5 mm rod (R5), a radius of 10 mm sphere (R10), a 25 mm sphere (R25), and a 50 mm (R50) sphere were usedThe simulation for the experiment results are on shown switching in Table impulse 2. Mo test.reover, For DC 95% and transition the DC occurred superimposed when switchinggrounded impulseelectrode test, radius R5, R10,was radius1.2 m. ofConsequently, 12.5 mm sphere two (R12.5),2.4 × 1.2 and, m plate R50 werealuminum confirmed, were butattached the use to ofform HV a electrodesgrounded forelectrode each case with di ffaered. size of 2.4 × 2.4 m. Figure 2a,b shows the HV electrodes and the test view used in the experiments, respectively. The HV electrodes material is aluminum, and a curvature of a 5 mm rod (R5), a radius of 10 mm sphere (R10), a 25 mm sphere (R25), and a 50 mm (R50) sphere were used for the experiment on switching impulse test. For DC and the DC superimposed switching impulse test, R5, R10, radius of 12.5 mm sphere (R12.5), and, R50 were confirmed, but the use of HV electrodes for each case differed.
Energies 2020, 13, 2958 5 of 13
Table 2. Detailed electric field analysis result.
HV Electrodes Radius (mm) Gap Distance 1 (m) 12.5 25 50 75 1.1 99.2 98.3 96.5 94.7 1.2 99.3 98.6 97.1 95.6 Grounded Electrode Radius (m) 1.3 99.4 98.8 97.6 96.3 Energies 2020, 13, x FOR PEER REVIEW 1.4 99.5 99.0 98.0 96.95 of 14
(a) (b) (c)
FigureFigure 2. Experimental 2. Experimental set-up set-up (( ((aa)) HV HV electrodes,electrodes, ( (bb) )test test view view (c) ( ccontact) contact of grounded of grounded electrode). electrode).
A preliminary experimentTable was conducted2. Detailed electric to verify field analysis whether result. the contact of grounded electrodes, as shown in Figure2c, a ffects the flashover of voltageHV orElectrodes not. The Radius HV electrode(mm) was placed on Gap Distance 1 (m) the contact of grounded electrode and flashover12.5 voltage was measured.25 Same 50 process has 75 been carried out in the case when HV electrode placed1.1 apart99.2 from contact98.3 of grounded96.5 electrodes.94.7 Test results showedGrounded that the Electrode flashover Radius voltage between1.2 them99.3 did not di98.6ffer. Accordingly,97.1 it was95.6 concluded that (m) 1.3 99.4 98.8 97.6 96.3 the influence of the contact part of the grounded electrode is negligible. 1.4 99.5 99.0 98.0 96.9 2.2. Switching Impulse A preliminary experiment was conducted to verify whether the contact of grounded electrodes, asThe shown switching in Figure impulse 2c, affects was generated the flashover by aof 16-stage voltage impulseor not. The generator HV electrode rated 1600was placed kV.The on waveform the of switchingcontact of impulse grounded is 250electrode/2500 µands, which flashover corresponds voltage was to themeasured. IEC 60060-1 Same standard,process has and been the carried waveform for itout is described in the case in when Figure HV3. Moreover,electrode placed 250 µ aparts and fr 2500om contactµs mean of frontgrounded time electrodes. and wave tail,Test respectively.results As shownshowed in that Figure the3 flashover, the point voltage where between the straight them linedid not connecting differ. Accordingly, the 30% and it was 90% concluded of the peak that value the influence of the contact part of the grounded electrode is negligible. meets the time axis is called the virtual zero point. The wave front is the time between when virtual zero2.2. point Switching and the Impulse line meets the peak value of switching impulse. Wave tail is defined between the time at which the voltage is 50% of the peak value and the virtual zero point. EnergiesThe switching2020, 13, x FOR impulse PEER REVIEW was generated by a 16-stage impulse generator rated 1600 kV.6 of 14The waveform of switching impulse is 250/2500 μs, which corresponds to the IEC 60060-1 standard, and the waveform for it is described in Figure 3. Moreover, 250 μs and 2500 μs mean front time and wave tail, respectively. As shown in Figure 3, the point where the straight line connecting the 30% and 90% of the peak value meets the time axis is called the virtual zero point. The wave front is the time between when virtual zero point and the line meets the peak value of switching impulse. Wave tail is defined between the time at which the voltage is 50% of the peak value and the virtual zero point.
FigureFigure 3. The 3. The waveform waveform ofof standard switching switching impulse. impulse.
As shown in Figure 2b, the insulator string and 154 kV level polymer insulator were used to separate the crane from the suspended HV electrodes. At the point where a high voltage was applied to a connector and a HV electrode, a pair of stainless-steel spheres were used to prevent corona inception. For each case, the switching impulse was applied for a gap distances of at least 10 mm to a maximum of 1200 mm. critical flashover voltage was derived after 20 times of flashover by the up and down method, adopting 3% interval of the initial flashover voltage. The solid sphere had smooth, polished surfaces, free of protrusions or abrasions. Before tests, the surfaces were cleaned with ethanol to remove excess foreign matters. The critical flashover voltage was corrected, corresponding to IEC 60060-1, by measuring the temperature, humidity, and air pressure that could affect the experimental results [7].
2.3. DC Superimposed Switching Impulse As mentioned above, switching impulse is normally introduced into MVU while DC voltage is applied, and causes switching impulse superimposed overvoltage stresses. Therefore, it is necessary to study the dielectric characteristics of the DC superimposed switching impulse, but there are no clear studies on them, as well as the experimental procedures specified in the standard. Accordingly, the study was conducted to verify the dielectric characteristics of air under DC superimposed switching impulse by varying DC pre-stress level [19]. Prior to examining the critical flashover voltage of DC superimposed switching impulse, the DC flashover experiment was preceded in order to calculate the DC pre-stress level. Figure 4 shows the circuit diagram of DC experiment. As shown in Figure 4, the AC voltage was generated from 400 kVA AC voltage generator and converted to DC through the two-stage Cockcroft–Walton rectifier. The DC voltage was applied at a rate of 3 kV/s. The tests were conducted five times and the flashover voltage was determined from the median of the test results. When any test result deviated by more than 15% from the median, five additional tests were conducted. The flashover voltage was then determined from the median of the 10 test results [22,23]. The applied voltage was measured through a 10,000:1 R-C divider connected in parallel to the specimen. The connected multi-meter was Fluke 83V measuring range up to 1000 kVDC with accuracy of ±0.1%. For each case, as in the switching impulse tests, the temperature, humidity, and air pressure were measured, then critical flashover voltage was corrected [7].
Energies 2020, 13, 2958 6 of 13
As shown in Figure2b, the insulator string and 154 kV level polymer insulator were used to separate the crane from the suspended HV electrodes. At the point where a high voltage was applied to a connector and a HV electrode, a pair of stainless-steel spheres were used to prevent corona inception. For each case, the switching impulse was applied for a gap distances of at least 10 mm to a maximum of 1200 mm. critical flashover voltage was derived after 20 times of flashover by the up and down method, adopting 3% interval of the initial flashover voltage. The solid sphere had smooth, polished surfaces, free of protrusions or abrasions. Before tests, the surfaces were cleaned with ethanol to remove excess foreign matters. The critical flashover voltage was corrected, corresponding to IEC 60060-1, by measuring the temperature, humidity, and air pressure that could affect the experimental results [7].
2.3. DC Superimposed Switching Impulse As mentioned above, switching impulse is normally introduced into MVU while DC voltage is applied, and causes switching impulse superimposed overvoltage stresses. Therefore, it is necessary to study the dielectric characteristics of the DC superimposed switching impulse, but there are no clear studies on them, as well as the experimental procedures specified in the standard. Accordingly, the study was conducted to verify the dielectric characteristics of air under DC superimposed switching impulse by varying DC pre-stress level [19]. Prior to examining the critical flashover voltage of DC superimposed switching impulse, the DC flashover experiment was preceded in order to calculate the DC pre-stress level. Figure4 shows the circuit diagram of DC experiment. As shown in Figure4, the AC voltage was generated from 400 kVA AC voltage generator and converted to DC through the two-stage Cockcroft–Walton rectifier. The DC voltage was applied at a rate of 3 kV/s. The tests were conducted five times and the flashover voltage was determined from the median of the test results. When any test result deviated by more than 15% from the median, five additional tests were conducted. The flashover voltage was then determined from the median of the 10 test results [22,23]. The applied voltage was measured through a 10,000:1 R-C divider connected in parallel to the specimen. The connected multi-meter was Fluke 83V measuring range up to 1000 kV with accuracy of 0.1%. For each case, as in the switching impulse DC ± tests, the temperature, humidity, and air pressure were measured, then critical flashover voltage was correctedEnergies [7]. 2020, 13, x FOR PEER REVIEW 7 of 14
Figure 4. The circuit diagram of 4-stage Cockcroft–Walton rectifier and DC flashover experiment. Figure 4. The circuit diagram of 4-stage Cockcroft–Walton rectifier and DC flashover experiment. Figure 5 shows the circuit diagram used for the superimposed switching impulse, with the Figureaddition5 shows of a blocking the circuit capacitor diagram and usedprotection for the resistor superimposed to prevent the switching switching impulse, impulse introducing with the addition of a blockinginto the capacitor DC rectifier and circuit protection and the resistor converted to preventDC voltage the into switching the impulse impulse generator. introducing The blocking into the DC rectifiercapacitor circuit andand protection the converted resistor DCwere voltage connected into in series the impulse to the impulse generator. generator The and blocking DC rectifier capacitor and protectioncircuit, respectively. resistor were The configuration connected inof high series voltage to the applying impulse part generator and measurement and DC method rectifier was circuit, respectively.exactly The same configuration as switching impulse of high tests. voltage In order applying to verify part the and air measurementdielectric characteristics method of was DC exactly superimposed switching impulse according to DC pre-stress level, 30%, 40%, 50%, and 60% DC same as switching impulse tests. In order to verify the air dielectric characteristics of DC superimposed voltage was applied for both polarities of switching impulse. The tested gap distances were 160 mm, 200 mm, 240 mm, and 280 mm in the case of the DC superimpose positive switching impulse. In the case of the DC superimposed negative switching impulse test, gap distances of 50 mm, 60 mm, 70 mm, and 80 mm were carried out. The identical experiment procedure as an impulse test was adopted.
Figure 5. The circuit diagram of DC superimposed switching impulse experiment.
3. Experimental Results and Discussions
3.1. Switching Impulse The experiment of analysis on the dielectric characteristics of switching impulse in air was carried out in air for a gap distances of at least 10 mm to a maximum of 1200 mm, and the results are depicted in Figure 6a. As shown in Figure 6a, it was found that the critical flashover voltage differs according to the radius of the HV electrodes in the short gap distances. However, the critical flashover
Energies 2020, 13, x FOR PEER REVIEW 7 of 14
Figure 4. The circuit diagram of 4-stage Cockcroft–Walton rectifier and DC flashover experiment.
Figure 5 shows the circuit diagram used for the superimposed switching impulse, with the addition of a blocking capacitor and protection resistor to prevent the switching impulse introducing into the DC rectifier circuit and the converted DC voltage into the impulse generator. The blocking Energies 2020capacitor, 13, 2958 and protection resistor were connected in series to the impulse generator and DC rectifier 7 of 13 circuit, respectively. The configuration of high voltage applying part and measurement method was exactly same as switching impulse tests. In order to verify the air dielectric characteristics of DC switchingsuperimposed impulse according switching toimpulse DC pre-stress according level,to DC 30%, pre-stress 40%, level, 50%, 30%, and 60%40%, DC50%, voltage and 60% was DC applied for bothvoltage polarities was applied of switching for both impulse.polarities of The switching tested impulse. gap distances The tested were gap distances 160 mm, were 200 160 mm, mm, 240 mm, and 280200 mm mm, in 240 the mm, case and of 280 the mm DC in superimpose the case of the DC positive superimpose switching positive impulse. switching In impulse. the case In the of the DC superimposedcase of the negative DC superimposed switching negative impulse switching test, gap impulse distances test, gap of 50 distances mm, 60 of mm, 50 mm, 70 mm,60 mm, and 70 80 mm mm, and 80 mm were carried out. The identical experiment procedure as an impulse test was were carried out. The identical experiment procedure as an impulse test was adopted. adopted.
Energies 2020, 13, x FOR PEER REVIEW 8 of 14 Figure 5. The circuit diagram of DC superimposed switching impulse experiment. voltageFigure became 5. The similar circuit regardless diagram of of the DC HV superimposed electrodes radius switching when theimpulse gap distance experiment. reached a 3. Experimentalcertain value. Results A detailed and experiment Discussions was performed for all cases to clarify the transition point, in 3. Experimentalwhich Resultsthe dielectric and characteristics Discussions was expected to change; the results are depicted in Figure 6b. As shown in Figure 6b, the transition point of R5, R10, R25, and R50 was 40 mm, 80 mm, 200 mm, and 3.1. Switching Impulse 3.1. Switching400 Impulse mm, respectively. Consequently, the trend of critical flashover voltage was varied according to Thethe curvature experiment of electrode of analysis in the gapon thedistance dielectric being up characteristics to eight times as of much switching as the electrode impulse radius. in air was Thecarried experiment outThe in phenomenaair of for analysis a gap of distancescritical on the flashover dielectricof at least voltage 10 characteristics becomemm to similar,a maximum regardless of switching of 1200 of the mm, radius impulse and of the the in results HV air was are carried electrodes, due to changes in the flashover mechanism. At a short gap distance, in which the electric depicted in Figure 6a. As shown in Figure 6a, it was found that the critical flashover voltage differs out in air forfield a gap is relatively distances uniform ofat compared least 10 to mma long to gap a distance, maximum flashover of 1200 occurs mm, simultaneously and the resultswith the are depicted in Figureaccording6a.start As of shownto the the streamer radius in Figure ofcorona. the 6HV a,On itelectrodes the was other found hand, in the th that shorte flashover the gap critical distances.mechanism flashover However, of the long voltage the gap critical distance di flashoverff isers according quite a bit more complicated than that of the short gap distance. In long gap distance, which is enough to the radius of the HV electrodes in the short gap distances. However, the critical flashover voltage to grow corona, it forms stable streamers before flashover. On raising the applied voltage, these became similarstreamers regardless propagate of in the the HVmain electrodesfield direction radius toward whenthe opposite the electrode, gap distance besidesreached spreading ain certain value. A detailed experimentradial direction. was If performedthe condition forrequired all cases for the to growth clarify of thestreamer transition is met throughout point, in whichthe gap the dielectric characteristicsdistance, was the expected streamers to can change; extend up the to resultsthe opposite are electrode. depicted At inthis Figure stage, a6 stableb. As streamer shown is in Figure6b, rendered unstable. the transition pointAs soon of R5,as the R10, streamer R25, can and extend R50 itself was up 40 to mm,the opposite, 80 mm, i.e., 200the grounded mm, and electrode, 400 mm, the respectively. Consequently,conduction the trend path of forms, critical and flashover flashover occurs voltage [4]. was We varieddefined accordingthe region before to the the curvature flashover of electrode in the gap distancemechanism being changes up as to Region eight A, times and after as muchthe flashover as the mechanism electrode changes radius. as Region B, for the ease of explanation.
(a) Experimental results (b) Detailed experimental results
Figure 6. The results of switching impulse critical flashover voltage verification experiment. Figure 6. The results of switching impulse critical flashover voltage verification experiment. To calculate the air clearance between MVU and the HVDC converter valve hall, an analysis of the two regions is essential. Consequently, the trend lines of the critical flashover voltage against the gap distance are derived in this study. Since the critical flashover voltage varies with the radius of the HV electrodes at Region A, the equation of trend lines is represented by the radius of HV electrodes (R) and gap distances (d) as variables. On the other hand, the trend line of Region B was derived only for the variable of d, because the dimension of HV electrodes has nothing to do with critical flashover voltage. The Equation (1) represents the critical flashover voltage trend lines of switching impulse in Region A, and Equation (2) represents the critical flashover voltage trend lines of switching impulse in Region B.