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Current chopping in SF6Citation for published version (APA):van den Heuvel, W. M. C. (1980). Current chopping in SF6. (EUT report. E, Fac. of Electrical Engineering; Vol.80-E-107). Technische Hogeschool Eindhoven.Document status and date:Published: 01/01/1980Document Version:Publisher’s PDF, also known as Version of Record (includes final page, issue and volume numbers)Please check the document version of this publication: A submitted manuscript is the version of the article upon submission and before peer-review. There can beimportant differences between the submitted version and the official published version of record. Peopleinterested in the research are advised to contact the author for the final version of the publication, or visit theDOI to the publisher's website. The final author version and the galley proof are versions of the publication after peer review. The final published version features the final layout of the paper including the volume, issue and pagenumbers.Link to publicationGeneral rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright ownersand it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Users may download and print one copy of any publication from the public portal for the purpose of private study or research. You may not further distribute the material or use it for any profit-making activity or commercial gain You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, pleasefollow below link for the End User Agreement:www.tue.nl/taverneTake down policyIf you believe that this document breaches copyright please contact us at:openaccess@tue.nlproviding details and we will investigate your claim.Download date: 08. Sep. 2022

CURRENT CHOPPING IN SF 6byW. M. C. van den Heuvel

E I N D H 0 V E NUN I V E R SIT Y0 FT E C H N 0 LOG YDepartment of Electrical EngineeringEindhovenThe NetherlandsCURRENT CHOPPING IN SF 6byW.M.C. van den HeuvelTH-Report80-E-107ISBN 90-6144-107-2EindhovenApril 1980

-1-Contents:PageSwnmary1List of symbols31. Introduction42. Origins for current chopping42.1. Forced current zero andcurrent chopping due to negative arc characteristic2.2. Current chopping by arc collapse492.3. Current chopping by main circuit oscillations102.4. Current chopping by arc-to-glow-discharge transition112.5. Current chopping by electrode effects123. Current chopping in SF 63.1. Experimental set-up and procedure13133.2. Equivalent test scheme153.3. Test results164. Discussion of results235. Conclusions276. Acknowledgement28Literature29

-2-Su,,"1lI1lary&After a short treatise on the origins of current chopping an experimentalstudy of small current interruption in SF 6 is reported. A puffer typecircuit breaker model was used. During contact separation two differenttypes of arcs occurred successively. Short gap lengths up togave stable arcs with low arc voltage and small time constant 0.5 mm( 0.15 s).Typical chopping level of this "A-mode" was 0.3 A. Further opening ofcontacts caused a transition into a "B-mode" arc with many elongationsand collapses. This arc type had a higher average voltage and a typicalchopping level of c-, 0.5 A. A time constant of O. 5 scould be deducedfrom stability theory. But this theory could only be proved for the A-modearc.It is further shown that only circuit elements in direct vicinity to thebreaker were involved in the chopping phenomena. Chopping levels of theB-mode arc were independent of arc length or current to interrupt butcould be raised by capacitance in parallel to the breaker.All reignitions were of dielectric nature and post arc conductivity wasnever found.Heuvel, W.M.C. van denCURRENT CHOPPING IN SF6'Eindhoven University of Technology, Department of Electrical Engineering,Eindhoven, The Netherlands. April 1980.TH-Report 80-E-l07Address of the author:Prof.dr.ir. W.M.C. van den Heuvel,High Current Laboratory,Eindhoven University of Technology,P.O. Box 513,5600 MB EINDHOVEN,The Netherlands

-3-List of symbols.c, cpeffective capacitance in parallel to the arccseffective source side capacitanceeffective load side capacitancefrequency, see table 1ff.frequency of arc oscillationff. at inset of instability 0i arc chopping current0icrest value of current to interruptIAarc current,iarc current, momentary valueai(quasi) stationary valuecurrent through capacitor in parallel to the arccKconstant of arc characteristicLadynamic arc inductance in equivalent arc schemeL, Leffective circuit inductance between C, C and arcpLseffective source side inductanceLteffective load side inductanceRastatic arc resistanceRdabsolute value of dynamic arc resistanceR.negative resistance in equivalent arc schemeSstandard deviationP uuuac0arc voltage, momentary valuevoltage across capacitance in parallel to the arcarc voltage, mean value before current choppingacurrent exponent of arc characteristicearc time constantwcircular frequency, see table 1w. w02rrfo

-41.Introduction.If a small current is interrupted by a circuit breaker in an a.c. networkthe arc always ceases before the current has reached its natural zerovalue. The sudden current chopping can give rise to high overvoltagesacross inductivities in the interrupted circuits. These overvoltages maybe dangerous especially when no-load transformers or reactors with smallparallel capacitance are switched off.Many investigators put attention to current chopping phenomena in air-blast, oil and vacuum breakers [1-13] but few information is availableon current chopping in SF6 [13, 27] .This paper gives a short survey of the origins for current chopping inhigh voltage networks and describes an investigation of current choppingin SF . The experiments are performed with a puffer-type breaker model in6a medium voltage (10 kV) lab circuit.The results are used to deduce arc time constants from the Mayr-Rizkinstability theory.2.Origins for current chopping.Current chopping can be produced by a variety of causes:- arc instability due to the negative slope of the U(I)-characteristic,- arc elongation followed by breakdown over a smaller distance;- main circuit oscillations, including virtual current chopping;- arc to glow discharge transition;- electrode effectsand by combinations of these effects.These origins of current chopping will first be treated shortly.2.1. Forced current zero andcurrent chopping due to negative arc characteristicEven for a constant arc voltage there will be a slightly forced currentzero if the arc voltage cannot be neglected in comparison with the main

-5voltage. This phenomenon is well known from synthetic testing practice[26]. It is much more dominating during small current interruptionbecause of the steeply rising voltage with falling current and thesmall rate of change of current. The effect is increased by thecapacitance in parallel to the breaker.This kind of "current chopping" is essential for low voltage interruptionand medium voltage magnetic blast circuit breakers. It forces a monotonicly decreasing current. Familiar to it is the forced current zero ininterrupting short circuit currents, where the electrical conductivitydisappears before the voltage suppression peak has reached its maximum(fig. 1). This effect was first described by Van Sickle [14] and laterexpanded by Puppikofer [15]. The latter applied it to explain currentchopping when interrupting no-loadYoungtransformers. More recentlyL71 and Rieder [16] used this model. tFig. 1.Forced current zero (t ) due to parallel capacitance.aThe van Sickle-Puppikofer effect is not very likely in small currentcircuits containing oil, air blast, SF6 or vacuum breakers. It needs ahigh capacitance C in parallel to the breaker combined with a smallpinherent inductance.This can be illustrated by a simple example. Ifthe arc characteristic be presented by ui K and current fall by di/dt w'i,

-6-about 10% of the main current itt) is commutated in the capacitor ifi (10KWC 1)1/3. So if e.g. K 1000, w 314 and Ip 30 A a capacitor aslarge as 1 uF starts to be effective if the current itt) 3 A. Inpractice the effective capacitance at low current interruption isgenerally much smaller and current chopping levels with such parallelcapacitors are much higher than 3 A [10,111.So it is not surprising that a monotonicly falling current never wasobserved in our test circuits.In vacuum breakers the arc looses its conductivity suddenly within muchless than a microsecond. This kind of chopping was also observed in SF6at very small arc lengths. In all other cases current chopping wasaccompanied by some form of high frequency disturbance. Best known isthe "instability oscillation" with increasing amplitude superimposedon the main frequency current, fig. 2 . . . . tFig. 2.Forcedcurrent zero due to instability oscillation.In prinCipal a high frequency oscillation can be concluded from the(quasi) static arc characteristic [11. But as the period of theinstability oscillation is of the same order of magnitude as thethermal arc time constant it is clear that the dynamiC behaviour ofthe arc is involved in the phenomena.

-7-Dynamic arc instability was amply studied by Mayr [17] as early as 1943.Afterwards several authors [2-4] employed his results to specificcircuits. They all accept an exponential adaption of electricalconductivity with an " arc time constant"after a small current step(fig. 3). This leads to an equivalent transient impedance scheme forthe arc, including an inductance and a negative resistor, giving thesame response to a current step.u(Ol-.-- - - - - --::-:- -- u(CI»'10 u(Q) 4ir--------- u(Q)-Rd 4ii(CI)i (O)-.-J-tU(t)- U(Q) - RdFig. 3.Fig. 4.( 0)Rd -( )i j(OlRa u(Q)i(O). -tiS41 (Rd R a)4I.eExponential arc voltage response.Dynamic arc scheme from exponential response.- - iiiLCsFig. 5.RLtEquivalent circuit used for stabilityinvestigation.

-8-The most extensive study, directed to high voltage network circuits,was published by Rizk [4]. He derived the equivalent arc scheme offig. 4 and used this scheme at the place of the circuit breaker in aone phase circuit proposed by Baltensperger (fig. 5). Accepting thatLs and L t are so large that they are not involved in the high frequencyphenomena leaves a third degree differential equation for the remainingcircuit. Using Hurwitz criteria and putting in R«Rd he found therequirement for stable solutions: ,',}Ra 0CO}At the stability limit an oscillation rises with frequencyl/c (L 8RwoW.1a)(2)(Note that the arc acts as a vh·tzwl inductance with magnitude eRa) .Combining (l) and (2) yields(3)woIf the quasi-static arc characteristic at the inset of instability isrepresented byKconstant(4 )-aR ) Rizk's stability criteriumaone finds (with Rd1CaRa8,,} See fig. 3,4,5 and list of symbols for meaning of letters.(5)

-9-Combining this result with (2) shows that the frequency at inset ofinstability iswo;;/8(6)(Rizk further studied the influence of a capacitor or a resistor directlyacross the breaker, the influence of the source side and load sideinductivities and of the fact that in practice Lis and CiS aredistributed instead of lumped elements. He also put attention to multi-time-constant arcs and to the wellknown fact that the arc time constantis not a constant).Mayr as well as Rizk emphasized that stability testing at best can yieldthe condition at which an instability oscillation will be superimposedon the arc current. But it cannot at all produce a pronouncement whetherthe current will really chop.Our experiments learned that the criteria satisfy very well for shortarcs and very small chopping levels when 0»L/Ra. The arcs then burnso stable that a can be determined with good accuracy. Moreover agrowing instability current soon leads to a current chopping becauseof the low main frequency current value.2.2.Current chopping by arc collapse.The intensive cooling by a moving gas can cause strong elongations andeven curls in small current arcs especially at longer contact gaps [4,5].At the same time the arc voltage rises rapidly to a high value andintroduces a breakdown across a smaller distance by short circuiting partof the arc. These phenomena will be called here "arc collapse". It canrepeat many times before the current chops and so causes the well knownirregular pattern in the voltage trace on many oscillograms of smallcurrent interruption (see e.g. fig. 15).

-10-Arc elongation can introduce current chopping after an increasinginstability oscillation because in equation (5) a may be high and Raincreases rapidly .During arc elongation the inherent circuit breaker parallel capacitance ischarged to a high voltage and after arc collapse the voltage surplus maycause an oscillating current through the arc. This oscillation is superimposed on the quasi steady state arc current and may cause currentchopping by forcing the latter to zero in the first negative half loop.The arc collapse oscillation is damped by the arc resistance. Itsfrequency is principally determined by the virtual arc inductance eRa andthe parallel capacitance C , the same elements which are involved in thepinstability oscillation. Therefore the frequency is of the same order ofmagnitude in both cases.At first glance one might expect that arc collapse would cause a higherchopping level than dynamic arc instability. The experimental fact thatup to now no notable difference could be concluded is theoreticallyexplained in a separate paper,,).Murano e.a. [10] reported that their choppings were always precededby an arc collapse when testing air-blast and oil breakers withadditional parallel capacitors. The same tendency was found in ourexperiments in SF 602.3. Current chopping by main circuit oscillations.SUdden variations of the arc resistance, especially arc collapse andreignitions after a short period of interruption, can produce oscillationsin the surrounding circuitry and even in the complete main circuit [5,18].These oscillations are again superimposed on the industrial frequencycurrent. They can force the current to zero directly or to such a lowmomentary value that "normal" current chopping starts. ) soon to be published elsewhere.

-11-The special case where arc reignition in one phase of a three phasecircuit induces current zero's in the other two phases is called "virtualcurrent chopping". It can cause extremely high overvoltages in the systemwhen the circuit breaker has no post arc current and builds up a highdielectric strength in a short time. This is especially the case invacuum and SF6. A treatise on virtual current chopping can be found inliterature [18-20].2.4. Current chopping by arc-to-glow-discharge transition.Hydrogen is the principal decomposition product (80%) of oil by theburning arc. Edels [21] reported arc-to-glow transition in hydrogen of0.5 to 2 bar at a critical current value of 1.5 A. The transfer was alwaysaccompanied by a large jump to lower current density and a(relatively lower) jump in voltage. Normally the circuit elements do notallow a sudden discharge-voltage jump during small current interruptionand one may expect that the current chops at the transfer level. In ourexperiments with oil breakers the lowest chopping level which couldbe attained, even when interrupting purely resistive currents, was1.3 A. The same limit was reported by Damstra [8]. It is very likelythat the pressure in the gas bubble in oil during small currentinterruption is very near to normalaAccording to Edels [22] arc-to-glow discharge transfer in N2 at 1 bartakes place at 05. A. Because of the highly unstable nature of the arcat higher current levels one may not expect that this transfer has anysignificance in air blast breakers.In experiments with the SF 6 -model short arcs could be stable down to 0.3 A and then sometimes abruptly stopped without any oscillation(see fig. 14). up to now it could not yet be concluded whether thiskind of chopping is due to arc column or to electrode effects.

-12-2.5.Current chopping by electrode effects.All specified reasons mentioned before were insome way connected tothe properties of the arc column especially to the negative slope ofthe (quasi) stationary arc characteristic. The vacuum breaker arc hasa positive u-i-characteristic and for small currents an extremelylow column voltage. This metal vapour arc has an essentially unstablecharacter. It has a continuous decay and renewal of cathode processes.76Each cathode has a limited lifetime (of the order of 10- 10- s) andcurrent ( 100 A for cu contacts). Daalder [23] showed theoreticallyand experimentally that Joule heating in and ion production at thecathode surface are evident for maintenance of the arc processes. Upto now a quantitative determination of the minimum current in a cathodespot is not yet deduced from theory. Experiments show chopping levelsof 4 and 9 A for Cu and W respectively. Lower values are obtainedin commercial available breakers by using special alloys as contactmaterial. An extensive study of current chopping by vacuum arcs isreported by Holmes [24].Because of the short lifetime of individual cathode spots and thepositive slope of the arc characteristic vacuum arc chopping shows anextremely steep current decay without any instability oscillation.In other circuit breakers the same picture of chopping was only foundin SF , as mentioned before.6Farrall and Cobine [25] investigated low current arcs in A , N , H ,2reH , 02 and SF in a low voltage circuit (125 V d.c.). They showed that62under these conditions arc duration is statistical. Typical lifetimesfor SF6were of the order of O.ls. In their opinion the duration ofarcs in gases is principally determined by the abundance of metalvapour near the cathode and its loss rate through the surrounding gas.So current chopping due to electrode effects is principally possiblein all kinds of breakers but has no practical importance except forvacuum.

-13-3.Current chopping in SF 6 .3.1. Experimental set-up and procedure.To facilitate comparison with other types of breakers investigatedformerly [5,6] a same experimental set-up was chosen as much aspossible. The circuit of fig. 6 was used. Low voltage main networkfeeds in via a threephase transformer 380 V/l0 kV from which twophases are used. Inductive load are low voltage air-core coilsconnected via a second 10 kV/380 V transformer. Programmed switchingat the low voltage source side prevented in-rush effects.voto eRO.LlT2Fig. 6.Test circuitMSMake switchTlTransfonner 0,38/10 kV, 400 kVAT2Transformer 0,38/10 kV, 315 kVACBBreaker under investigationVDvoltage dividerSshuntCcapacitor in parallelLlinductive loadFor current measurements low inductance shunts with a straight responsecharacteristic from d.c. to 10 MHz/s were employed. Voltages weremeasured via a mixed (capacitive-resistive) divider with a lowcapacitance (25 pF) and high resistor value (400 MQ). Circuitry andmeasuring techniques are amply described in [5].

-14The experiments were carried out with a medium voltage SF 6 puffer-typebreaker model (fig. 7). The static pressure was kept at 3 bar (abs).The total dynamic pressure during operation without current flow neverexceeded 3.5 bar (abs). Dynamic pressure could not yet be determinedduring current interruption because of the severe signal disturbancescaused by the burning arc. One may expect that even for the highestcurrents investigated (42 A) no notable pressure increase exists.Fig. 7.SF6breaker model.

-15-Currents of 8, 16, 30 and 42 A (crest values) were investigatedwithout additional parallel capacitance, 8 and 42 A with 6,000 pF and8 A with 12,400 pF added in parallel to the breaker. The circuitvoltage was kept 10 kV (r.m.s.)The average contact opening speed was 0.4 mls with a dip to 0.2 mlsat the very moment of contact separation for the experimentsdescribed here. This feature made it possible to study short andrelatively stable arcs during the first current zero as well aslonger arcs liable to violent disturbances during the second, finalzero. This advantage had to be paid by a larger inaccuracy inestimating short gap lengths.3.2.Equivalent test sCheme.Detailed study of all oscillations during a complete interruptioncycle combined with high frequency impedance measurements made itpossible to deduce the practical equivalent scheme of fig. 8. Alldampings are neglected. The high frequency resistance R measuredacross the open circuit breaker was 1 - 2[lbetween 0.5 and 2 MHz.In table 1 all oscillations are summarized. Numbers refer toindications in fig. 8.added 2300hooo 1850.067HLsu"10 kV(rms)Fig. 8."'90pHRCs950pFpFpFpF 4pHCpL'Ct4500pFS.6HLt 2.4H{ 1.25 H077HEquivalent circuit derived from test results.

-16-NameSymbolMeasured valuesIndustrial frequencyWfInstability oscillationw.1 50 Hzn2fi 0.1n-IMHzOscillations after areignition:First parallel osc. (L C )-1/2ppWPlsecond parallel osc.f (L' 'C" )-1/2WfP2wMain circuit asc.st5 MHz, C185 pFP1.05 MHz, C 6200 pFP0.7 MHz, C 12500 pFP P1 (L'C' )-1/2fP2st '"0,6 MHz 8,5 KHz,L 5,6HtOscillations aftercurrent interruption.Source side osc .WLoad side osc.wst (L C )-1/2f fs s(L C )-1/2t tst 20 KHz 1010Hz ,1530Hz2150Hz,,2740Hz,L 5,6HtL "2,4HtLt 1,2HLt O ,8H- -------'----'----Table 1.Review of oscillations. Here C' C Cs tC" Cc Ie' .s t'Further symbols refer to fig. 8.3.3.Test results.In spite of the relatively low pressure and contact speed and sometimes high restriking voltages( 4 p.u.) never a full current loopcould be produced after contact separation during these tests. Themaximum possible arc length showed to betime of 14 ms. 5 rom according to a life-

o------- f--U 'I'1. -nt'" .o -i.1,!,t.";'r-:i:"III--. ,"u10))SIf'" ;iIit'"o.2A--,-I-i o!IcA-mode chopping. I q4A "'I.-pc8 AFig. 11.-i-,IFig. 9.'\ r3.1kV\ V- .-I-1'1 I i I12;Vr·W ' I,B-mode chopping.IIi 8 AI "I./or-I'.V.M--7- 2., KVV3,LI(VVa.;,I",JI rt""Fig. 10.O,lIA,-t.I1FI-'I·o:-\o/fA\! o#SB-mode chopping. I 42 A ,C p 6./Vujo .AI./Fig. 12.,i:",op5 I,.C-mode chopping (by arc collapse).i' 8 A- i

-18-All reignitions after the first current chopping were dielectric andno post-arc current could ever be concluded from our oscillogramseven when the solution was 10 rnA. Reignitions after the secondcurrent zero were never observed.( (First results with higher current80 A) show longer arcs and a full current loop).The chopping level was remarkably low when no capacitorsin parallelto the breaker were connected.Four different types of current chopping could be distinghuised:Mode A.The instability oscillation has a regular pattern. All loopsare sinusoidal and the amplitude grows more or less exponentiallyuntil the zero line is (nearly) attained. This mode is frequent forshort stable arcs. Typical frequencies were between 1 and 2 MHz. Anexample is fig. 9.Mode B.The arc is longer and liable to elongations and collapse.More or less damped instability oscillations are frequent before thefinal one leads to chopping. This final oscillation often does notgrow down to the zero line but the last and definite half loop breaksout. All freqencies were in D.S MHz range when no parallel capacitorwas applied. Figs. 10 and 11 are typical examples.Mode c.The chopping mode according to fig. 12 is introduced by arccollapse. It can only occur when the current is not far from thestability limit (see appendix). Therefore often damped instabilityoscillations are on the current trace before chopping, see fig. 13.Mode D.If the arc is extremely short chopping may be abruptlywithout any prior oscillation as seen in fig.14.Besides these pronounced types often combinations of two or even threemodes occurred. But as a rule it can clearly be distinghuised whichmode leads to chopping.Fig. 15 shows the arc voltage after contact separation. It can beseen that after some milliseconds the stable arc with a low arcvoltage transists into a more unstable mode with many elongationsand collapses and a higher average arc voltage. The period of the

[ '- /- .,ofu.I \i::I.'oII2,5W ··t I--D,4A.,!i!OAlS,,.2 inS,-'"'IFig. 13.Fig. 15.C-mode chopping combined withinstability oscillations,iseparation,I 16 A 8 AI,Ii,I. ----' -'- L----' --'- -L-Fig. 14.Arc voltage after contactAbrupt chopping, D-mode, i 8 AI

-20-stable arc increased with increasing current to interrupt reachingfrom 2 ms at 8 A to4 ms at 40 A.The relation between chopping level and mode versus contact openingtime before current zero for 8 A current to interrupt can be seenfrom fig. 16.fio (AI - -1-- -j--r-- I-0,4----0,30,2 - mode 0--0, 1- o32tiD56t (ms)98710(Al -- - -1-- I- o.4o. 3. . 0,2mode A0, 1 o2lio53687-terns)910Alo.8.o. 7. 0.6o.5·F0/00.30.2modeSo. 1oCD1Fig. 16.2345678-t (ms)9Relation between chopping current 10 and contact openingtime for modes D, A and B.1

-21-These results together with detailed chopping oscillograms learn:Mode D occurs for arcs of the order of tenths of millimetres.Typical voltage at chopping moment was 60 V with spread withinmeasuring inaccuracy( 16 V). Chopping currents were between 0.17 and0.42 A with average value 0.28 A.Mode A occurs for stable arcs of 0.2 - 0.5 rom length. Voltages and arcresistances were higher, chopping currents were in the same range asmode D. Oscillating frequencies were between 1 and 2 MHz, highervalues going with smallest contact gaps. This mode is more extensiveinvestigated for checking stability criteria. Relations of voltage,current and resistance with frequency are given in fig. 17. Choppingcurrents were between 0.18 and 0.46 A with average of 0.27 A. Withgrowing length the arc transists into less stable character. Choppingin such an arc is of B-mode if not collapse induced. Therefore the arctypes can be called A-mode or B-mode arcs referring to the typicalchopping phenomena which point out specific properties of each type.B-mode choppings showed a larger spread in chopping current andaccompanying voltages and resistances but a typical narrow frequencyrange around 0.5 MHz. Average chopping level was 0.5 A, spread wasas indicated in fig. 16c.B-mode choppings at first and second current zero are compared intable 2. for 8 A to interrupt. Although the arc during the secondhalf loop was much more unstable than during the first one nosignificant difference in chopping level, arc resistance or frequencycan be observed.j

-22-zero1 st2 ndnr.oftestsgap 1 e 2.IniB-modes at first and second current zerotable 3 chopping conditions at different interrupted currents arecompared. All values relate to the second and definite interruption.For all interrupted currents practically the same average resistanceand frequencies are found.The average chopping level is somewhat lower for higher currents tointerrupt.inr. of testsi0AAuR00VQf0SfMHzMHz8670.4966613300. 4280.4360014100.530.03Table 3.Mode B choppings for different currentsto interrupt.Lower instability frequencies and arc resistances accompanied byhigher chopping levels were obtained by adding capacitance in parallelto the breaker, see table 4. Now most choppings were combined Band Cmodes with arc collapse forcing current to zero.

-23-iCnr.ofiS,0 8710155426.0111.430.37385125AAtestsTable 4.SRf0MHzM 1150.300.05295830.230.05280850.330.07Influence of parallel capacitance.These interruptions often caused high overvoltages ( 4 p.u.) affectingthe protective gap across the inductive load or the breaker.4aDiscussion of results.Arcs chopped in A or D mode are so short that a reignition and a newhalf current loop can be taken for sure. Therefore the Band C modechoppings are the important types for circuit breaker practice.The results prove that chopping phenomena are fully governed by thecircuit elements in the vicinity of the breaker. This is in agreementwith the starting-point of the stability theory (par. 2.1).AnSfexperimental proof of this theory is of great importance. At firstbecause it is the only tool available to predict chopping levels, butalso because a reliable theory can be used to determine which circuitelements are really involved in chopping and to measure time constantsof the arcs.Such a practical proof meets a variety of difficulties:except for A-mode choppings the transition from damped to growingoscillations is not clear;- the picture is disturbed by arc collapses;- inductivities and capacities are distributed;the a-value for the u-i-relation is not a constant but varies not

-24-only for each individual arc but also during its lifetime;one may expect that the arc time constant is not a constant.It seems however reasonable to assume that during a reignition thesame circuit elements Land C are involved as during instabilityoscillation provided the reignition oscillation has a higherfrequency. In our circuits with or without parallel capacitors the"first parallel oscillation" had a much higher frequency than thechopping oscillations (see table 1). It may therefore be concludedthat the involved circuit inductivity L was much smaller than thevirtual arc inductance 8RaThis simplifies the stability criterium(5) to(7) e/o.RCaThen study of detailed oscillograms of A-modes and clear B-modescan yield valuesWoa and R for each chopping current iaI(6) and (7) at the inset of instability, so Wo values foreand CIa/e0. Usingl/leRa Cp ,can be deducted.pThis method was applied for interruption without parallel capacitors.Results are in table 5. Average avalues at inset of instabilitywere 1.3 and 2.5 for A-and B-mode respectively

study of small current interruption in SF6 is reported. A puffer type circuit breaker model was used. During contact separation two different types of arcs occurred successively. Short gap lengths up to 0.5 mm gave stable arcs with low arc voltage and small time constant ( 0.15 s).

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