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Morshuis and Smit: Partial Discharges at dc Voltage: Their Mechanism, Detection and Analysis 328 Partial Discharges at dc Voltage: Their Mechanism, Detection and Analysis Peter H.F. Morshuis and Johan J. Smit Delft University of Technology Mekelweg 4, Delft, 2628 CD, The Netherlands ABSTRACT ( ) A concise review is given of the progress made in the field of partial discharges PD at dc voltage. Although ample reference will be made to work of other authors in this field, the paper will concentrate on the progress that was made at Delft Uni- versity of Technology over a period of 14 years in three Ph.D. projects. In the first project, a start was made with the analysis of the physics of partial discharges at dc voltage and different types of PD were characterized based on parameters like time interval between PD and PD magnitude. In a second project, PD analysis was applied to HVDC apparatus and different means of classification of PD at dc volt- age were proposed. In the third project, PD analysis was applied to HVDC mass- impregnated cables and test specifications were proposed. In this paper the work performed in the above three Ph.D. projects is summarized with ample reference to papers of other workers in this field. Attention is given to the mechanism of PD at dc voltage as compared to ac voltage and techniques for measurement and analysis of dc PD patterns. Examples of practical application of dc PD testing are given. Finally, some thoughts on future work are presented. Index Terms — dc voltage, partial discharge, detection, analysis, high voltage. 1 INTRODUCTION HEN one speaks of partial discharge it is W in most cases assumed that we address PD at ac volt- age. Without any doubt, the majority of the work on PD has always been focused on ac applications for the electri- cal energy supply. A thorough review of PD occurring at wx ac voltage was recently published by Bartnikas 1 . In the present paper we address the specific field of PD at dc voltage, which needs a special approach for a number of reasons. When we identify the type of applications that make use of a dc voltage we may draw the conclusion that Ž . apart from the high voltage dc HVDC transmission ca- ble, most applications are found in sectors outside the electrical energy supply. Many everyday applications make use of HVDC, like CRTs for television and computer monitors but also automotive applications. In hospitals we find x-ray equipment and image intensifiers, in satellites traveling wave tubes are used for signal amplification, and radar is used both for civil and military applications. In the literature PD at dc voltage are first mentioned, to the author’s knowledge, in the sixties of the 20th cen- w x tury 2 8 . A good overview of the state of the art con- Manuscript recei®ed on 14 No®ember, in final form 9 December 2004. cerning PD at dc voltage halfway the 1970’s was given by wx Densley in 9 . If we focus on the PD process itself, on the way PD at dc voltage is measured and interpreted and in the end may lead to a deterioration of the insulation we will note that we can not simply use our knowledge of PD at ac voltage. In fact, there is no hard evidence for a direct re- w x lation between PD at dc voltage and breakdown 10 12 . 2.2 MECHANISM Partial discharges in gaseous cavities inside a dielectric are usually considered the most dangerous. The mecha- nism of these so-called internal discharges is extensively w x described for instance in 13, 14 . Here, we present the treatment of internal discharges at dc voltage as was first w x described by Fromm in 15 19 . 2.1 GENERAL In order to start a PD, two conditions must be fulfilled. First, the magnitude and distribution of the electric field in the cavity should be such that a self-sustaining dis- charge can develop. This condition is generally translated into a minimum breakdown voltage V across the cavity. min Second, a free electron must be present at a suitable posi- 1070-9878 r 05 r $20.00 2005 IEEE 328

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Page 1: Partial Discharges at dc Voltage: Their Mechanism

Morshuis and Smit: Partial Discharges at dc Voltage: Their Mechanism, Detection and Analysis328

Partial Discharges at dc Voltage: Their Mechanism,Detection and Analysis

Peter H.F. Morshuis and Johan J. SmitDelft University of Technology

Mekelweg 4, Delft, 2628 CD, The Netherlands

ABSTRACT( )A concise review is given of the progress made in the field of partial discharges PD

at dc voltage. Although ample reference will be made to work of other authors inthis field, the paper will concentrate on the progress that was made at Delft Uni-versity of Technology over a period of 14 years in three Ph.D. projects. In the firstproject, a start was made with the analysis of the physics of partial discharges atdc voltage and different types of PD were characterized based on parameters liketime interval between PD and PD magnitude. In a second project, PD analysis wasapplied to HVDC apparatus and different means of classification of PD at dc volt-age were proposed. In the third project, PD analysis was applied to HVDC mass-impregnated cables and test specifications were proposed. In this paper the workperformed in the above three Ph.D. projects is summarized with ample reference topapers of other workers in this field. Attention is given to the mechanism of PD atdc voltage as compared to ac voltage and techniques for measurement and analysisof dc PD patterns. Examples of practical application of dc PD testing are given.Finally, some thoughts on future work are presented.

Index Terms — dc voltage, partial discharge, detection, analysis, high voltage.

1 INTRODUCTIONHEN one speaks of partial discharge it isWin most cases assumed that we address PD at ac volt-

age. Without any doubt, the majority of the work on PDhas always been focused on ac applications for the electri-cal energy supply. A thorough review of PD occurring at

w xac voltage was recently published by Bartnikas 1 . In thepresent paper we address the specific field of PD at dcvoltage, which needs a special approach for a number ofreasons. When we identify the type of applications thatmake use of a dc voltage we may draw the conclusion that

Ž .apart from the high voltage dc HVDC transmission ca-ble, most applications are found in sectors outside theelectrical energy supply. Many everyday applications makeuse of HVDC, like CRTs for television and computermonitors but also automotive applications. In hospitals wefind x-ray equipment and image intensifiers, in satellitestraveling wave tubes are used for signal amplification, andradar is used both for civil and military applications.

In the literature PD at dc voltage are first mentioned,to the author’s knowledge, in the sixties of the 20th cen-

w xtury 2�8 . A good overview of the state of the art con-

Manuscript recei®ed on 14 No®ember, in final form 9 December 2004.

cerning PD at dc voltage halfway the 1970’s was given byw xDensley in 9 .

If we focus on the PD process itself, on the way PD atdc voltage is measured and interpreted and in the endmay lead to a deterioration of the insulation we will notethat we can not simply use our knowledge of PD at acvoltage. In fact, there is no hard evidence for a direct re-

w xlation between PD at dc voltage and breakdown 10�12 .

2.2 MECHANISMPartial discharges in gaseous cavities inside a dielectric

are usually considered the most dangerous. The mecha-nism of these so-called internal discharges is extensively

w xdescribed for instance in 13, 14 . Here, we present thetreatment of internal discharges at dc voltage as was first

w xdescribed by Fromm in 15�19 .

2.1 GENERALIn order to start a PD, two conditions must be fulfilled.

First, the magnitude and distribution of the electric fieldin the cavity should be such that a self-sustaining dis-charge can develop. This condition is generally translatedinto a minimum breakdown voltage V across the cavity.min

Second, a free electron must be present at a suitable posi-

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w xFigure 1. Voltage across a cavity in a solid dielectric 18 .

tion in the cavity to start the ionization process. This‘‘starting’’ electron may be supplied by external sourcesŽ .radiation , field emission or by detrapping of electronsdeposited at the cavity walls by previous PD activity. Theappearance of a starting electron is a stochastic processand is governed by a statistical time lag t . During thisL

time lag the voltage across the cavity may exceed V bymin

an overvoltage �V and the PD ignites at a voltage V si

V q �V. In Figure 1 this process is schematically rep-min

resented.

Due to the charge displacement by the PD the voltageacross the cavity drops to a residual value V . In contrastR

to what is often assumed this value is not zero, in fact itmay even be close to V . For a new discharge to develop,i

the voltage across the cavity must again exceed V in amin

‘‘recovery’’ time t .R

2.2 PHYSICAL MECHANISM OF PDThe discharge process is strongly affected by the over-

voltage �V. At dc voltages, �V usually is considerablysmaller than at ac voltage. Let us consider an example ofa cavity in a dielectric. It is often convenient to make useof an equivalent circuit to make some calculations on thePD process. For this purpose we extend the often-usedcapacitive equivalent circuit with some resistive elementsto account for the conduction processes. In Figure 2 sucha circuit is shown where C and R represent the proper-a a

ties of the entire dielectric, C and R represent theb b

properties of the part of the dielectric ‘‘in series’’ with thecavity, C is the capacitance of the cavity and R the cav-c c

ity surface resistance.

The PD process is strongly simplified and taken intoaccount by a spark gap S. Thus, the time constant forcharging the cavity is calculated as:

R R C qCŽ .b c b c� s 1Ž .

R qRb c

Figure 2. Equivalent model for a cavity discharge energized with dcw xvoltage 18 .

Ž .The voltage across the cavity V t is given by:c

tV t sV y V yV exp y 2Ž . Ž .Ž .c c,� c ,� r ž /�

with V the limit value of the voltage across the cavity ifc,�

no PD would occur. V can be expressed as:c,�

RcV sV 3Ž .c,� R qRb c

w xDevins 13 studied the effect of overvoltage on the dis-charge mechanism and introduced two PD mechanismsnamed ‘Townsend-like’ and ‘streamer-like’ in analogy withthe Townsend and streamer breakdown mechanis ms. Inw x17 a study is presented on the effect of overvoltage onPD mechanism at dc voltage by time-resolved measure-ments of the PD current pulses. In Figure 3 a typical cur-rent pulse is shown that was obtained in a 0.3 mm thickpolyethylene test specimen with a 0.1 mm thick cavity atlow overvoltages.

This Townsend-like discharge is characterized by a rela-tively small pulse height and a large pulse width that in-

w xcreases with cavity thickness. Others 13, 20, 14 havefound for PD at ac voltage the same relation between cav-ity thickness and pulse width. Sometimes this discharge

w xtype is also referred to as pseudo-glow type 1 .

At higher over voltages another type of discharge pulsewas found, see Figure 4. The mechanism is referred to as‘‘streamerlike’’and is characterized by a fast pulse rise timeand a short tail which reflect the strong ionization and thecorresponding high electronic component in the discharge

w xcurrent 13, 14 . For further discussion of these mecha-w xnisms the reader is referred to 13, 14 .

2.3 RECURRENCE OF PDRecurrence of PD at ac voltage is easily explained by

Ž .voltage polarity change every 10 ms for 50 Hz supply ,see Figure 5. At dc voltage, PD can recur because of thefinite resistivity of the dielectric. After a PD, the next PD

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w xFigure 3. Townsend-like discharge pulse in a 0.1 mm cavity 18 .

w xFigure 4. Streamer-like discharge pulse in a 0.1 mm cavity 18 .

event can take place after a time interval �t which is thesum of the recovery time and the time lag. The dischargerepetition rate n is the reciprocal value of �t, or

1ns 4Ž .

� t

To obtain the maximum value of the repetition rate, weneglect the time lag, or t s 0.L

Then we can derive the following relation:

V yVc,� min� ts t sy� ln 5Ž .R ž /V yVc,� r

Ž .Figure 5. Recurrence of discharges at ac voltage top and at dcŽ . w xvoltage bottom 12 .

This is rewritten as:

1�� sy� ln 1y 6Ž .V yVc,� r� 0

V yVmin r

Ž .Assuming V �V which is generally truec,� r

1� tfy� ln 1y 7Ž .Vc,�� 0

V yVmin r

Using a first order Tailor expansion we obtain:

V yVmin r� tf� 8Ž .ž /Vc,�

Thus, the PD repetition rate equals:

1 Vc,�nf 9Ž .ž /� V yVmin r

The PD repetition rate is linearly proportional to Vc,�

which in turn is proportional to the external voltage.

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This dependence has important consequences for thedischarge inception voltage as it is detected in practice. Atdc voltage, the discharge inception voltage recorded de-pends on the minimum value of the PD repetition ratethat can be measured. In theory, the repetition rate justabove inception is almost zero. Therefore, in practice thePD inception voltage is usually defined as the voltage atwhich the PD repetition rate is above 1 discharge perminute.

Let us now compare the PD repetition rates at dc andac voltages with amplitude V.

For ac voltage it can be deduced that

b dV 1n f 10Ž .dc c dt V yVmin r

For dc voltage

1 b Vn f 11Ž .dc � c V yVmin r

These repetition rates are equal if

dV Vs

dt �

Comparing the repetition rates at 50 Hz and dc, equal-ity is reached when � f3 ms. Because in practice � ismany orders of magnitude larger, the PD repetition rateat ac is orders of magnitude higher than at dc voltage withthe same amplitude. There is one exception to this rule,i.e. relative high repetition rates can occur in dc insulationsystems when the insulation is polarized or depolarizedduring respectively first application and turning off of thevoltage.

2.4 TRANSIENT EFFECT OF INSULATIONPOLARIZATION

The distribution of the electric field at dc voltage is de-termined by the operating condition of the insulation sys-tem. When the voltage is applied the field is capacitivelygraded and only after all polarization processes have beencompleted the field is resistively graded. Further, the fielddistribution is affected by the load of the insulation sys-tem, i.e. conductor losses result in a temperature gradient

w xwhich affects the insulation conductivity. In 21 a thor-ough treatment is given on the electric field distribution inHVDC cables at different operating conditions.

During polarization of the insulation when the voltageis switched on, an increased conductivity is observed whichcan be recognized in the polarization current. The PDrepetition rate is high and follows closely the polarization

w xcurrent as was shown in 10, 11 . In Figure 6 this effect isclearly recognized in the strong increase of PD repetitionrate just after the voltage across a test specimen was raised.When the voltage is switched off and the insulation is de-

Figure 6. Partial discharge magnitude recorded during a stepwiseincrease of the test voltage.

polarized, PD of opposite polarity occur at a high repeti-tion rate which may last for some time after the voltagehas been turned off. This phenomenon is even enhancedat a polarity reversal.

2.5 EFFECT OF TEMPERATUREIn contrast to ac, the temperature and the temperature

gradient across the insulation have a major as well as acomplex influence on the PD behaviour.

The resistances shown in Figure 2, representing the re-sistances of dielectric and cavity, are strongly affected bytemperature. The conductivity of a dielectric changes byorders of magnitude when the temperature of the insula-tion is raised from an ambient temperature of 20 �C to anoperating temperature between 60 �C and 90 �C; see for

w x w xpaper-oil insulation 11 and for XLPE 22 . The PD repe-tition rate is directly affected by the increase in conductiv-ity, i.e. an increase in conductivity by two orders of magni-tude would result in a similar increase of the PD repeti-

w xtion rate 23 . In oil-paper insulation systems the effect oftemperature is often twofold, i.e. an increase in tempera-ture will result in an increase in conductivity and this inan increase of PD repetition rate but also in a transientredistribution of oil. The latter process may lead to thetemporary formation of low density areas and a sharp in-

w xcrease in PD repetition rate 24 . This behavior is dealtwith in more detail in section 4.2.

A temperature gradient in the insulation will lead to aredistribution of the electric field which may lead to a dis-appearance of PD at some locations and the inception ofPD at other locations.

2.6 PD MAGNITUDEAt dc voltages often not only the PD repetition rate

observed is much smaller than at ac voltage, the PD mag-w xnitude is also much smaller 8, 10, 19 .

The PD magnitude is strongly correlated to the electricfield in the cavity at the moment the initiatory electronappears and starts the discharge process. The over voltage

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Figure 7. Top: Pulse width and pulse height distribution for dis-charges in a 0.1 mm cavity, 10 kV test voltage; Bottom: Pulse widthand pulse height distribution for discharges in a 0.1 mm cavity, 20 kV

w xtest voltage 12 .

at which a PD ignites thus has a direct effect on the PDw xmagnitude. In 19 , typical values of the over voltage were

deduced from PD measurements on a test specimen con-Ž .sisting of 3 polyethylene PE sheets of 0.1 mm thickness

with a 6 mm diameter hole in the centre sheet.

A value � 1.6 V was calculated which indeed is verysmall and due to the very slow rate of rise of the voltageacross the cavity in relation to the average statistical timelag, i.e. � � t . In this study t was about 50 ms and �L L

was about 50 s. The resulting voltage drop after a PD hadoccurred was calculated to be 3.5 V which is very small ifcompared to the minimum breakdown voltage V s 980min

V determined by using Paschen law. In this case the ion-ization process in the cavity at PD inception is weak, infact it is just strong enough to result in a self-sustainedPD. The result is that the voltage across the cavity is stabi-lized by the PD of small magnitude to a value very closeto V . The value of the test voltage has an effect on bothmin

the predominating discharge mechanism and the dis-charge magnitude. In Figure 7, density histograms areshown for the above-mentioned specimens with pulseheight and pulse width along the axes. A doubling of thetest voltage resulted in an increase of the PD pulse heightand in a change of the predominant PD mechanism fromTownsend-like to streamer-like, all of which is explainedby an increase of the over voltage at discharge ignition.

Only in the case of transient conditions, i.e. when rais-ing the test voltage to its final value or switching off thevoltage, the rate of rise of the voltage across the cavity is

Figure 8. Partial discharge detection circuit used for dc. Part I isidentical to the circuitry used for AC detection. Part II is dedicated

w xto dc detection 44 .

such that much higher over voltages may occur at PD igni-tion, resulting in PD magnitudes comparable to the ac caseŽ .Figure 6 . This occurs, for instance, in a mass-impreg-

Ž .nated HVDC cable that is energized section 4 .

3 DETECTION AND ANALYSISFor the detection of PD at dc voltage no special facili-

ties are needed and in principle any ac PD test system canbe used. Depending on the objective, one may choose forthe standard PD detection system according to IEC60270

Žin case of PD testing of high voltage equipment Figure.8 , or, in case of more fundamental studies one may resort

to an ultra-wide band circuit to obtain the shape of thew xPD pulses 14 .

Because the PD repetition rate at dc voltage is low, PDdata are normally acquired within a time span of 30 � 60minutes. Although the duration of the PD test is quitelong the PD behavior is not affected by processes likechanges of surface conductivity of cavity walls due to theaccumulation of PD by-products. Only after much more

Ž w x.prolonged PD activity 24 h 12 changes are observed inthe PD behavior.

3.1 NOISE REDUCTIONBecause of the unipolar nature of the dc voltage, partial

discharges occurring in an object under test will also be ofunipolar polarity. Partial discharges occurring in the ex-ternal circuit necessarily are of opposite polarity. This factcan be made to use when distinguishing between noise

w xfrom outside the test object and PD inside 12 .

3.2 ANALYSIS OF PD DATAThe challenge is how to analyze the observed PD sig-

nals. At ac voltage, the PD behavior is voltage phase re-lated and more or less characteristic phase patterns areobserved for different types of PD generating defects. At

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Ž . Ž .Figure 9. Basic PD parameters for ac left and dc right voltagew x27 .

dc voltage there is no generally accepted standard, differ-ent ways of representing the PD data have been proposedin literature.

Whatever the method of representation, there are onlytwo basic parameters available, the discharge magnitude

Žq and the time of occurrence t of the discharge or thei i.time � t in between discharges . In Figure 9 a schematici

representation is shown of the analogy between the basicparameters at ac and at dc voltage.

Ž .From a set of PD data q , � t various graphical rep-i i

resentations may be obtained. Again, the representationchosen depends on the application, whether it be the questfor more fundamental understanding, relatively simplegorno go testing in an acceptance test or extensive analy-sis of PD patterns in order to classify the type of defect.In the following sections typical examples will be given ofeach of these approaches.

3.2.1 PD MAGNITUDE AS A FUNCTION OFŽ .TIME: q t

This is the simplest way of representing the data andmost often this is how the data is represented and initially

Ž .evaluated during a PD test. In Figure 10 the q t graph isshown for four different types of discharges, i.e. for PD ina dielectric bounded cavity, PD in oil, surface discharges

Figure 10. Plot of the discharge magnitude q against time for fourw xdifferent defects 27 .

w xFigure 11. Discharge trains observed in oil 27 .

and corona. From this figure, the erratic nature of surfacedischarges is clearly seen as opposed to the stable behav-ior of corona discharges.

The characteristic behavior of PD in oil. i.e. the occur-w xrence of discharge ‘‘trains’’ 25 becomes clear when we

zoom in to a shorter time interval as is shown in Figure11.

3.2.2 DENSITY FUNCTION OF THE PD( )MAGNITUDE: H q

The density histogram of the PD magnitude is an oftenw xused representation of PD data 12, 6, 26 . In Figure 12

examples are shown of typical density functions for PD ina dielectric bounded cavity, PD in oil, surface dischargesand corona. For cavity discharges the probability of occur-rence decrease exponentially with the PD magnitude. Sur-face discharges are characterized by a large scatter inmagnitude and corona shows the expected narrow distri-bution.

3.2.3 DISCHARGE MAGNITUDE ANDREPETITION RATE AS A FUNCTION OF TEST

VOLTAGE

Another, relatively simple, representation of the PDprocess is obtained when PD magnitude andror PD repe-tition rates are plotted against test voltage. In Figure 13examples of such plots are given for surface dischargesand internal discharges. Because the volume to be dis-

Ž .charged is restricted in the case of a cavity, median thePD magnitude is hardly affected in the voltage range thatwas used in this case. On the contrary, surface dischargesshow a strong correlation with test voltage because of theincrease of the discharged area.

3.2.4 RELATION BETWEEN DISCHARGEMAGNITUDE AND AVERAGE MAGNITUDE OF

ITS SUCCESSOR OR PREDECESSOR

There are more intricate ways of representing the PDbehavior that shine some light on the relation or the ab-sence thereof between consecutive discharges also re-

w xferred to as memory effect 27 . In Figure 14 examples are

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Figure 12. Characteristic PD probability density histograms for fourw xmodel defects 27 .

Figure 13. Discharge magnitude and repetition rate as a functionw xof test voltage. Left: surface discharges; right: cavity discharges 27 .

given of the relation between the magnitude of a dis-charge q and the average magnitude of its successor q .suc

The value of q is calculated by averaging the successorsucŽdischarges of all discharges q within a certain range for

. w xinstance 9 � q�10 pC . It can be deduced 18 that forw xPD in a cavity, q is independent of q 12 . The same issuc

true for corona discharges. Surface discharges and dis-charges in oil on the other hand show a negative, respec-tively positive correlation between q and q . The physi-suc

cal explanation for the absence or presence of such a cor-w xrelation is described in 18, 27 .

3.2.5 RELATION BETWEEN DISCHARGEMAGNITUDE AND AVERAGE TIME INTERVAL

TO ITS SUCCESSOR OR PREDECESSOR

If, for a set of discharges the times to the successor orpredecessor are averaged � tpreyq and � tsucyq graphscan be plotted. For discharges in a cavity it can be de-duced that a positive correlation should exist between � tpre

w xor � tsuc and q 18 . In Figure 15 an example is given ofsuch a plot for cavity discharges. For a positive correlation

Figure 14. Characteristic graphs of the average magnitude of thesuccessor discharge as a function of the discharge magnitude for four

w xmodel defects 27 .

Figure 15. Average time to the successor for a given discharge mag-w xnitude in a cavity 27 .

it is necessary that some assumptions be made regardingthe physics of the PD process. The entire cavity is as-sumed to discharge and the discharge mechanism shouldbe Townsend-like. In Figure 15 it is seen that for highervalues of the PD magnitude the clear correlation disap-pears. This is explained by the fact that the larger dis-charges are frequently of the streamer-like type and thusnot all requirements for a positive correlation are ful-filled. A full description of the physical background for

w xthis type of PD behavior can be found in 18, 12 .

3.2.6 CUMULATIVE DISCHARGE REPETITIONRATE AS A FUNCTION OF PD MAGNITUDE

This plot is obtained by plotting the cumulative dis-charge repetition rate for all qGq against q . An exam-i i

ple of such a plot is given in Figure 16. This type of repre-sentation is often used in combination with a test crite-rion, as will be explained in section 4.

3.3 MULTIPLE DEFECTSThe analysis in the section above was made for single

defects and becomes much more complex in case multipledefects, possibly of a different nature are present. A dis-

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w xFigure 16. Graph of the cumulative discharge repetition rate 27 .

tinction can be made between two or more sources of thesame type discharging and two or more sources of two ormore different types discharging.

If the sources have equal inception voltage, PD magni-tude and equally shaped distributions, the source will beidentified correctly. The number of sources cannot be de-termined. If the sources are of the same type but withunequal PD magnitude or inception voltage, they can bediscriminated by raising carefully the test voltage.

If the sources are not the same, a correct identificationcan be made for instance when the PD magnitude densitydistributions do not entirely overlap. In such a case, thedata of both distributions can be analyzed separately. Inw x28 , it was shown that for an x-ray tube PD a distinctioncould be made between corona PD and PD in the bush-ing.

3.4 CLASSIFICATION OF PD DATAFor ac voltage, distributions and density functions of the

basic parameters q and � are used to describe and dis-criminate partial discharge patterns from various types of

w xdefects 29 . For dc voltage, the earlier introduced basicparameters q and � t are used to build distributions and

w xdensity functions 30�32 . The distributions shown in Fig-ure 17 are created:

� Ž . Ž .H � t and H � t , representing theq max pr e q max suc

maximum PD magnitude as a function of � t or � t .pre suc� Ž . Ž .H � t and H � t , representing the meanqn pre qn suc

PD magnitude as a function of � t or � t .pre suc� Ž .H q , the density function of the discharge magni-

tude.� Ž .H � t , representing the density function of the timen

between discharges � t.Each of the distributions in Figure 17 were found to

w xhave a characteristic shape 30�32, 27 that depends onthe type of defect which generates the discharges. Theseshapes are described by a set of parameters quite similar

w xFigure 17. Examples of statistical distributions of four model defects used to construct a database for defect classification 27 .

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w xFigure 18. Fingerprint of a discharge 27 .

to the ones that were used to describe ac partial dischargephase distributions. A set of in total 22 parameters is cal-culated and a ‘‘fingerprint’’ is obtained. Figure 18 showsthe fingerprint of PD in a dielectric bound cavity of whichthe distributions are shown in Figure 17.

For classification purposes a database was built contain-ing the fingerprints of a large number of known referencedefects. Details on how such a database is constructed are

w xgiven in 27 .

To classify an unknown discharge source a comparisonis made between its fingerprint and the fingerprints storedin a database of reference defects, using the Centour Score

w xmethod 33 .

For model defects tested in a laboratory surroundingthis method proved to be quite powerful and the methodwas used with success to discriminate between differenttypes of cavities, corona, surface discharges and dis-charges in oil. The first author of this paper is of the opin-ion that analysis of the PD data using the representationsdescribed in section 3.2 is to be preferred. An importantadvantage over an automatic classification procedure is thefact that the link with the physical processed is not lost.

4 PRACTICAL APPLICATION OF dc PDMEASUREMENTS

In a number of cases partial discharge measurementsare successfully applied in dc apparatus. The first refer-ences to practical applications were made in the 1960s,

w xprimarily on paper-oil insulated systems, i.e. cables 2 andw xcapacitors 7 . In 1970�1980, publications appeared on

Figure 19. Paper impregnated HVDC capacitor 75 kV, 8 nF.

w xpartial discharges in polyethylene submarine cable 34 ,w xaerospace applications 35�38 and traveling wave tubes

w x39 . In the 1980s, Delft University of Technology pub-lished its extensive work on dc partial discharge analysis

w xand classification 12, 23, 28, 31, 32, 40�45, . In the follow-ing, examples are given of practical applications of dc PDdetection and analysis.

4.1 HVDC CAPACITORSCapacitors are often applied in power supplies for X-ray

equipment and electron microscope applications. The ma-jority of these are still of the oil-paper type often in com-

w xbination with layers of polypropylene. In 27 , differentclasses of such capacitors were studied with respect to theirpartial discharge behavior and the possibilities of usingPD measurements to distinguish bad products from goodproducts. In Figure 19 an example of such a capacitor isshown.

It is important to note that all these capacitors are de-signed in such a way that some air accumulates above thetop compartment to allow for some expansion of the oil.To prevent air bubbles getting into the electrically stressedareas of the capacitors they need to be installed and oper-ated in a vertical position.

For all classes of capacitors a certain amount of partialdischarge activity was observed at their rated voltage. Inplots of q or q against q and � tpre or � tsuc againstsuc pre

q, no correlation is seen between these parameters; nei-ther an erratic pattern is observed nor a constant value of

Ž .the dependent quantity Figure 20 .

In order to find out if a predominant defect would beŽsingled out by a PD test a small amount of air about 1

.ml was allowed to enter one of the capacitors via theground plate. The PD plots of this capacitor could be eas-ily discerned from the others by the fact that a definitecorrelation was present between q or q against q andsuc pre

� tpre or � tsuc against q, as is shown in Figures 21 and 22.

One of the conclusions of this work was that the exis-tence of a potentially dangerous, predominant defect of-ten leads to a clear correlation between the above dis-cussed parameters. The type of correlation is given by thedefect type and the physical mechanism of the discharge

w xprocess 27 .

Figure 20. Typical correlation between PD parameters observed forw xhealthy capacitors 27 .

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Figure 21. Top: pattern for a healthy capacitor; bottom: pattern forw xa capacitor in which a small amount of air was introduced 27 .

Figure 22. PD pattern for a capacitor in which a small amount ofw xair was introduced 27 .

Another, simpler, way to distinguish ‘‘healthy’’ capaci-tors from those with defects is the analysis of the plot ofthe cumulative discharge repetition rate for all qGqi

against q . This method is relatively easy to implement ini

practice and gives a straight answer on the quality of theproduct. In Figure 23 a plot is shown of all classes of ca-pacitors tested. To distinguish between a good and a badproduct a criterion was defined, similar to the suggestions

w xFigure 23. PD criterion for HVDC capacitors 27 .

w xof Jeroense 44, 46 for HVDC cables. A cumulative PDproduct of 100 pC �miny1 is suggested for capacitors as aboundary between a GO and a NO-GO area. Because ofthe strong dependence of discharge repetition rate ontemperature these tests need to be performed at a specifictemperature, preferably the operating temperature. If acapacitor exceeds this limit, it is to be discarded.

This test criterion is tough in comparison to those givenw xelsewhere. Kreuger suggested in 11 a criterion of 2 nC �

miny1 for HVDC equipment though he also stated thatthe criterion might further be adjusted in as far as de-tailed information on the particular test object exists. More

w xrecently, Jeroense 44 suggested test criteria for HVDCcables; i.e. 500 pC �miny1 for type tests and 2 nC �miny1

for routine tests.

4.2 HVDC CABLESThe behavior of mass impregnated HVDC cables was

studied and in particular the partial discharge behaviorwas observed during different operating conditions of thecable. By extensive PD analysis the behavior of the cableinsulation could be described in detail.

In a HVDC cable system, the voltage and load currentmay vary and as a result the temperature distribution, theelectric field, the internal pressure, the distribution of cav-ities in the cable, the viscosity of the oil and the conduc-tivity of the insulation will change as well.

When the partial discharge repetition rate of such anHVDC cable is recorded during a typical load cycle of 8 hload on and 16 h load off, a pattern is found that is char-

Ž .acteristic for this type of cable insulation Figure 24 . Ini-tially, the temperature of the cable is still rising and athermal equilibrium is arrived at after approximately 8 h.

w xIn 44 it is shown that there are three competing pro-cesses that affect the PD repetition rate in this first stage;the changing distribution of the electric field in relation tothe position of the cavities, the decrease of the relaxationtime constant due to the increased insulation conductivity

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Figure 24. Characteristic behavior of the PD repetition rate in amass impregnated cable during a load cycle.

and the changing distribution of voids through the insula-tion due to the expansion of oil. The decrease of the re-laxation time constant most often is seen to be dominant,resulting in an increase of PD repetition rate. After 8 hthe load is switched off and a remarkable peak is seen inthe PD repetition rate. This behavior has been studied

w x w xextensively by Jeroense 44 and later by Evenset 47, 48and explained as being the result of a sudden pressure

w xchange in the cable insulation 49 as a result of whichcavities are generated. Normally, at nominal operatingconditions, the PD repetition rate returns to a low valueof about 1 discharge per minute after the load cycle hasbeen completed.

When a mass impregnated cable is overloaded or other-wise the cable insulation is highly overstressed, the popu-lation of cavities in the insulation may be irreversibly

w xchanged. In 45 a series of ac medium voltage mass im-pregnated cables at different voltages up to 7 times thenominal voltage. It was observed that above a certainthreshold voltage the cavity population started to growwhich was reflected in the increase of the PD repetitionrate after consecutive load cycles.

For type tests he suggested to perform PD measure-ments during the entire stability test, but in particularduring the first hours after switching off the load whenmost harmful PD occur. A cumulative PD product of 500pC �miny1 was suggested which was based partly on rec-

w xommendations by Kreuger 11 and on the results of a setof experiments on correctly loaded and heavily overloaded

Ž .cables Figure 25 . The overloaded cables did not pass ashortened type test according to the Electra 72 documentw x50 .

For routine tests, Jeroense proposed to perform PDmeasurements after switching off the test voltage. As aresult of the decreasing voltage a relatively high repetitionrate is detected which facilitates the PD measurement andallows a discrimination between good and bad cables, as isshown in Figure 26. In this case a cumulative PD productof 2 nC �miny1 was suggested.

Figure 25. PD criterion for HVDC mass impregnated cables; typew xtest 44 .

Figure 26. PD criterion for HVDC mass impregnated cables; rou-w xtine test 44 .

5 CONCLUSIONSN this paper a concise overview was given ofIthe work on partial discharge measurement and analy-

sis at dc voltage, in particular the work that was done atDelft University of Technology. From this work the fol-lowing may be concluded:

Partial discharge activity at dc voltage is now quite wellunderstood; the behavior and recurrence can now quitewell be described. Based on the knowledge of the physicalbackground of PD processes triggered by different de-fects, PD plots containing information on the dischargemagnitude and the time in between discharges can nowsuccessfully be used to analyze practical PD data. Bystudying different plots of dc PD data, often it is possibleto infer the type of defect, a process which in some casescan be automated.

It was shown that, for instance in the case of HVDCmass impregnated cables, PD analysis provides informa-tion that can be used to understand the dielectric behav-ior of the cable.

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For practical purposes, dc PD measurements can beused to distinguish between good and bad products. De-pending on the type of product different criteria have beenproposed.

A field that is still relatively unexplored is the field ofdc partial discharges at interfaces such as may occur incable accessories or in capacitors. Here we have the com-plicating factor of space charge accumulation at and nearthe interface. For a thorough understanding of the behav-ior of such interfaces, and in fact, to be able to make aproper design, there is still quite some work that needs tobe done.

With the introduction of nano-materials to change theparameters of insulating materials new challenges arise.How does the interaction between these nano-materialswith the host insulation affect the PD resistance?

In conclusion, we believe we could state that in the fieldof dc partial discharge considerable progress has beenmade in the last two decades. The old ASTM test require-

w xment 51 of less than one discharge per minute can nowbe replaced by a variety of tests that allow us to infermuch more information on the quality of the object undertest.

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