Comparative Study on Conductivity Using Polarization and Depolarization Current (PDC) Test

Polarization and Depolarization Current (PDC) testing is a non-destructive dielectric testing method to determine the conductivity of insulations. It is one of the dielectric d iagnostic techniques based on time domain measurement. PDC measurement technique has gained immense popularity due to its ability to assess the condition of HV insulation. PDC measurement can provide information about the conductivity within the init ial periods (seconds) after a DC step voltage application. This paper present the review and comparison results from several published papers on application of PDC method in finding the conductivity of the various types of insulators. The scope of the review covered solid and liquid insulations types. In this paper, for solid insulation the studied was focused on cables insulations, electric machine stator insulation and paper insulator in power transformer insulation. For liquid insulation, the review and comparison was done on the biodegradable and mineral transformer o ils. MATLAB software was used to simulate the conductivity level of the several types of HV insulation material. The conductivity level of insulation was found dependent on difference between the polarization and depolarization current values of the insulation material. The review results show that the PDC technique successfully give indication on level o f conductivity of the HV insulation materials.


Introduction
Recently more attention has been directed to assessment of condition of electrical apparatus such as transformer, cable and rotating mach ine as they are the important units in power system. Indeed, these equipments insulation system should be monitored frequently to prolong their life t ime and can help to reduce the maintenance cost. Several new techniques for monitoring HV equip ment through it insulation have been developed in recent years.
Out of these techniques, Polarization and Depolarizat ion Current (PDC) measurement with the time domain polarization based technique are widely accepted by many utilities due to the advancement in hardware and software interpretation schemes [1]. A lso this technique is very useful to estimate conductivity and moisture contents of the insulations. Conduction of a dielectric is often determined by the presence of impurit ies or contaminants and mo isture content inside the insulator. It also can be determined by the ageing process of the insulations PDC measurement will use DC so u rce u p to 2000 Vd c as th e inpu t sou rce and th is measurement can be classified as DC testing. DC testing is probably the most commonly used maintenance and diagnostic tests periodically conducted on machine stator insulation systems with the commercial availability of mo re sophisticated equipment to continuously monitor both charge and discharge current during a step voltage test, also known as polarization/depolarization current (PDC) test [2,3]. PDC test had been applied to many electrical apparatus to monitor the condition such as machine stator, transformer and power cables.
Researcher [4] has applied the Po larization / Depolarizat ion Current (PDC) analy zer for the insulation assessment of power cables since 2002. He found that the most advantage of this technique is its easy identification between "conduction" and "polarization" phenomena in a dielectric. Its ability in measuring current as low as 10 -12 A (pA) allows the h igh voltage insulation to be tested non-stressfully at lo w voltage and remaining charges stored in any cable insulation continuously without any voltage application. Researches [5][6][7] had applied PDC technique for XLPE insulation that subjected to wet ageing. They had used apparent conductivity which is based on difference between polarization and depolarization currents and degree of nonlinearity factor which is the ratio of apparent conductivity at different voltage as the parameter to determine the condition of the cables.
Research also have been conducted by [8] on PDC analysis for power transformer not only on insulation between windings but as well as for insulation systems of wind-ing-to-ground which can sometimes reveal trouble in transformer accessories such as on-load tap changer (OLTC) This researcher was focused on water and contaminant in a new OLTC, moisture and surface hu midity and free water in a refurbished transformer. This technique also has already been applied as a quality assurance tool for the assessment of refurbish ment efficiency of power transformers by researcher [9]and moisture assessment of transformer bushings by researchers [10]. Estimat ion of water content and conductivity in power transformer focused on paper insulation also had been done using PDC measurement by researcher [11,12]. Mo isture and ageing strongly influence the dielectric properties of oil insulation system o f power transformer. PDC analysis is normally used to determine the water content in the oil-paper insulation barrier and the conductivity.
Researches [13][14][15] had been done to investigate the mo isture content and conductivity of the oil insulation focused on transformer oil. There was research had been carried out to find the dielectric responsive function and maximu m conductivities of b iodegradable and mineral transformer oils for co mparat ive analysis by researcher [16]. Each of oil insulation with different moisture levels (dried, normal, o r wet) was tested.
A lot of research had been done on application of PDC technique in assessing the conductivity of the insulation of the electrical equip ment. This study did reviewed and done comparative analysis on defined the conductivity of several types of HV insulation using PDC technique.

Insulati on Conducti vity Conce pt
Examine the PDC curves, parameter such as conductivity and mo isture content in the insulation can be estimated. Figure 1 shows example of PDC curve in dB plot. The figure shows the oil conductivity, oil propert ies, geometry, ageing and water content influence on the PDC-Curves [17]. Based on the figure the conductivity of the insulation can be measured fro m the front tail of the PDC curve. Value of conductivity affects the polarization current mainly in a time range t<100s. Higher conductivity leads to a higher current value. Figure 1. Oil conductivity, oil properties, geometry, ageing and water content influence on the PDC-Curves [17] The estimation of the conductivity for HV insulation under polarizat ion and depolarizat ion test result can be expressed from the PDC value [1,14,16,18,19]. The test object can be a single dielectric material or an arrangement of several d ielectric materials in series or in parallel. For more than one dielectric material, σ, ε r and f(t) represent the composite conductivity, relat ive permitt ivity and dielectric response function of this heterogeneous test object. Assuming that the test object is totally discharged and that a step voltage is applied with the following characteristics [14]: This will give zero current for times before t =0, and so-called polarization currents for times 0≤t≤ tc. The polarization current is built up in t wo parts, one part is related to the conductivity of the test object and the other is related to the activation of the different polarization processes within the test object. The polarization (charging) current through the object can thus be expressed as [1,14,16,18,19]: Once the step voltage is replaced by a short circuit, a depolarization current is built up. The magnitude of the depolarization current is expressed as [1,14,16,18,19]: where tc is the time during which the voltage has been applied to the test object.
Fro m the measurements of polarization and depolarizat ion currents, it is possible to estimate the dc conductivity σ, of the test object. If the test object is charged for a sufficiently long time so that ( + ) ≅ 0, equation (2) and equation (3) can be combined to express the dc conductivity of the composite dielectric as [1,14,16,18,19]: When a totally discharged insulation is exposed to a fixed DC voltage, a resultant current will be produced from acti-

Water content
Oil conductivity Oil propert ies Geometry Ageing vation of the polarisation species with different time constants and due to the conductivity of the insulation. This resultant current is known as charging or polarisation current. When all polarized species are oriented themselves in the direction of the field, the current achieved a steady state and is primarily due to DC conduction. If the voltage is now taken off, the polarized species tend to relax resulting in depolarisation current. The PDC phenomena have been shown schematically in Figure 2 [14,15,18,20].

PDC Measurement for Soli d Insulation
The polarizat ion currents measurement is performed by applying a dc voltage step on the dielectric materials and depolarization current is measured by removing the dc voltage source incorporating with a switch which turn on to short circuit at the under tested objects. The dc voltage applied was 1000V fo r about 10,000 seconds for polarization and depolarizat ion time. Figure 3 shows examp le of the PDC measurement setup that have been developed and used by researcher at University of Queensland, Australia. This system co mprises of an Electro meter (Keithley 6571A), four h igh voltage relays, a power control interface for relay controlling and a laptop computer with GPIB Card. The control software was developed in the LabVIEW environment wh ich enables the operator to record voltage and currents automatically during PDC measurements. The principles of PDC measurement arrangement on insulation between windings and power cable with isolated shield (in case the insulation shield can be isolated from ground for the measurement) is shown in Figure.4. Figure 4. Principle of test arrangement for PDC measurement with isolated shield [4,8] Researcher [4,8] set measurement arrangement as shown in Figure 5. for PDC measurement on ground insulation of each winding and power cable with grounded shield (in case the insulation shield cannot be isolated from ground for the measurement or in case of sheath damage which can cause high conduction to ground of insulation shield).

Figure 5.
Principle of test arrangement for PDC measurement with grounded shield [4,8] Measurements of PDC for XLPE cab le insulation were performed using insulation resistance meter (A VO Megger S1-5010). The utilised equipment (A VO Megger S1-5010) can generate DC voltage of up to 5 kV with accuracy of ±2% + 1 V and a current detection limit of 0.1 nA. The positive terminal was connected to the central conductor of the cable and the negative terminal was connected to the outer helical copper earth screen of the cable [6,7].

PDC Measurement for Li qui d Insulati on
PDC measurement on sample transformer insulation oil had been done by researcher [16]. Special test cell was designed for holding and prevent the liquid fro m mo isture ingress from surrounding environment.

Transformer Insulations Results[12, 14, 21]
Result for conductivity level of the transformer insulations materials based on calculation extracted fro m measured PDC data fro m paper by researcher [1,9,12,14,16,21] using equation (4) is shown in Table 1: Observation from above table show that PDC after dry ing and impregnation are lower than those measured after machining cause by the decreasing of the conductivity value of paper and oil after the vacuum dry ing. Vacuu m dehydration can cause a good quality of insulations. This is due to the removal of moisture fro m the insulation. Results No 12 and 13 were operated at 25℃ and 29℃ respectively. It shows that after 4 years operating, the conductivity of solid and oil insulation increased due to both ageing and temperature differences from 25℃ and 29℃. Results No 16 until No 21 refer to PDC test on biodegradable oil and mineral o il. Test results show that mineral oil has higher conductivity compared to biodegradable oil in dried, wet and normal conditions.

21
Wet mineral oil -0.248 × 10 −9 Figure 6 shows the variation of polarizat ion current with paper conductivity. It is observed that, change in paper conductivity tend to affect the tail of po larization currents [14]. Whereas, Figure 7 shows that the initial part of the curve are primarily controlled by the parameters of the liquid dielectric. Higher liqu id insulation mo isture or conductivity tends to increase the magnitude of the polarization currents during the head of PDC curve. Higher value of the conductivity tends to increase the magnitude of PDC. These results show that the initial amplitudes of polarization current can be used to estimate the oil conductivity of a transformer without performing direct conductivity measurement.

Machine Insulati on Results
The analysis for PDC measurement for machine insulation was done based on result in paper published by researchers [6]. Figure 8 and Figure 9 show that polarizat ion and depolarization current for polyester-mica co il is higher than epoxy-mica bar in both conditions. Its conductivity increases sharply after mo isture absorption which caused a significant change in the dielectric response of the insulation system resulting into the occurrence of an interfacial polarization peak within the time frame of observation.
The result was co mplied and shown in Figure 8 and Figure  9. Higher solid insulation moisture or conductivity tends to increase the magnitude of the polarization and depolarization currents at longer time.

Cable Insulation Results
PDC application on cable insulation was done by researchers [6,7] . Based on their papers the test was classified into several cable classifications as listed in Table 2. Cluster A contains the newest cables with no joints and some intermed iate aged cables. Cables in Cluster B have failed and had been repaired many times but there is widespread degradation of the cab le insulation. Cables in Cluster C contain one of the newest cables with poor joints insulation quality. Cables in Group D appear to share characteristics of cables in Groups B and C. Observation from above table shows that cables with > 10 X 10 -16 S/m and degree of nonlinearity DONL > 1.2 but < 2 they could have joint and/or water tree problems. If cab les with < 10 X 10 -16 S/ m and DONL >1.2 but < 2, the cables have high water tree density where no tree is bridge the insulation and if cables with < 10 X 10 -16 S/ m and DONL < 1.2, cables are in good condition.
As temperature increase, apparent conductivity increases. This is due to insulation degradation with temperature which refer to ageing process.

Conducti vi ty Variation Results
Polarization and depolarization current measurement enables estimat ion to be made for the condition (moisture and ageing) of insulation with different conductivities levels. Fro m Equation (4), it proves that conductivity of the insulation is influenced by polarizat ion and depolarizat ion current values. Figure 10 show result of measured polarizat ion and depolarization current and conductivity variation o f transformer before and after oil reclamation. The current p lots in each case are divided by corresponding charging voltage and geometric capacitance values. In this case, the values of polarization and depolarization current have been normalized to an equivalent base of geometry and charging voltage for easier co mparison.
It can be observed, changes in insulation polarization and depolarization current values tend to affect the value of conductivity. Figure 10 shows the similarity of polarization and depolarization current trends. Although the magnitude of both polarizat ion and depolarizat ion current before oil reclamation is much higher co mpare after oil reclamation, the conductivity variation for both insulations is almost same. This proves that, the variation of conductivity is depends on the difference values between polarizat ion and depolarization current.
It also found that, maximu m value of conductivity for before oil reclamation is higher than maximu m values for after oil reclamation. It indicates that after o il reclamat ion, the oil condition has improved as a whole [14]. Figure 11 show result of measured polarization and depolarization current and conductivity variation of heavily loaded and lightly loaded operating aged transformers (45 MVA and 7 M VA). Higher differences between polarization and depolarizat ion current values tend to increase the magnitude of conductivities. Indeed, maximu m conductivity value for this transformer condition is higher then results in Figure 10. This is due to extremely degraded and increasing mo isture level in the insulation systems.
Transformers with poor insulation condition will have higher values of polarization and depolarization current. In this analysis, we also found that the conductivity of lightly loaded transformer is higher than heavily loaded transformer at the beginning of the testing time and then shifted to become lower than heavily loaded transformer at the end of testing time. The higher conductivity at the end of the testing time indicates that the paper insulation for heavily loaded transformer contains more mo isture and had highly degraded compared to lightly loaded transformer

Conclusions
PDC measurements can be used to determine the condition of HV insulation. PDC measurements results presented that higher moisture contents, ageing and heavily loaded transformers will gave h igher conductivities of both solid and liquid insulations. This paper reviewed and does comparison results of PDC conductivity for transformer, cable and mach ine. Fro m the comparison results, it concluded that the polarization and depolarization current results can be used to determine the conductivity of solid and liquid insulations. The PDC data are strongly influenced by the insulation conductivity. Higher values of polarization and depolarization currents can contribute to higher conductivity of insulation. The init ial value of PDC can be used to determine the liquid conductivity and the long time values of PDC are p rimarily determined by the solid insulation condition.
The trends of the conductivity variat ion were found to be dependent on the polarizat ion and depolarization currents values. These trends can be used to evaluate the condition of the HV insulation.