Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line...

49
379 Chapter-5 Conclusions In this research work a HVDC model is proposed for the analysis of various operating conditions. The faults generally occurred on the transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the transmission line at various distances have been analyzed using Fast Fourier Transforms(FFT), Artificial Neural Networks (ANN) and Wavelet Transforms(WT). The DC voltage and current at the rectifier were recorded. The following observations have been made from the recorded characteristics of the voltage and current. During the normal operating condition of the HVDC system, it will transmit power satisfactorily with both the voltage and currents observed to be at 1 p.u. During DC line faults, the line voltage at the rectifier is oscillating till the fault has been cleared. Similar types of characteristics have been obtained for all the fault resistances. However the DC line current rises to 2 p.u. in 0.01sec. The system starts recovering after the clearance of the fault.

Transcript of Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line...

Page 1: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

379

Chapter-5

Conclusions

In this research work a HVDC model is proposed for the analysis of

various operating conditions. The faults generally occurred on the

transmission line such as AC faults on the rectifier side and inverter

side, the DC line fault on the transmission line at various distances have

been analyzed using Fast Fourier Transforms(FFT), Artificial Neural

Networks (ANN) and Wavelet Transforms(WT). The DC voltage and

current at the rectifier were recorded.

The following observations have been made from the recorded

characteristics of the voltage and current.

During the normal operating condition of the HVDC system, it will

transmit power satisfactorily with both the voltage and currents observed

to be at 1 p.u.

During DC line faults, the line voltage at the rectifier is oscillating

till the fault has been cleared. Similar types of characteristics have been

obtained for all the fault resistances. However the DC line current rises

to 2 p.u. in 0.01sec. The system starts recovering after the clearance of

the fault.

Page 2: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

380

During the AC faults on the AC side of the rectifier the DC line

voltage is positive and is oscillating between 2p.u. and 0 p.u. The AC

voltage on the inverter side has no significant impact due to this fault.

However the currents on the AC side are almost zero at the time of fault.

For the analysis and identification of HVDC system faults a

technique based on the reverse voltage travelling wave (RVTW) has been

proposed in this thesis. The RVTW is calculated for all the operating

conditions of the HVDC system. It is observed that the magnitude of the

RVTW is low for normal operating system when compared to that of a

fault condition. The RVTW has been analyzed by using FFT analysis.

It is observed from the FFT plot for various operating conditions of

HVDC that the dominant frequency during the normal operating

condition is around 600Hz and the magnitude of the dominant frequency

is very low when compared to the fault conditions.

The dominant frequency for the DC line fault is inversely

proportional to the location of the fault i.e. as the distance increases the

frequency decreases. The magnitude of the dominant frequency is

observed to be varying with the fault resistance. However, the variation

in the fault resistance has no impact over the frequency. Hence it can be

stated that for the location of the faults the RVTW technique is more

effective.

Page 3: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

381

During the AC faults on the AC side of the rectifier the dominant

frequency is observed to be the 2nd harmonic frequency (120Hz) and the

magnitude of frequency component is very much high for all the faults

such as LG, LLG and LLL faults.

During the AC faults on the AC side of the inverter the dominant

frequency is observed to be near the 2nd harmonic frequency (100Hz)

and the magnitude of frequency component is very much high for all the

faults such as LG, LLG and LLL faults.

The RVTW also been analyzed by using Artificial Neural Networks.

For this purpose the RVTW has been sampled at regular intervals of 0.8

milliseconds by considering the local maximum values during this

period. The normalized data from the local maximum values has been

used for training and testing the ANN. From the test results of the ANN,

it is proved that the local maximum values are having a clear edge in

identifying and locating the faults of the HVDC transmission system.

By using the wavelet analysis technique the reverse voltage

travelling wave (RVTW) has been decomposed in to four levels using

daubeches4 wavelet as the mother wavelet. The observations made from

the analysis of level 1 wavelet coefficients are:

During the normal operating conditions, the energy of the wavelet

coefficients is less than 4.

Page 4: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

382

The energy of the wavelet coefficients for DC line faults is more

than 100 for various fault resistance.

The energy of the wavelet coefficient is in between 5 to 50 for the

AC faults both on the rectifier and inverter side.

Hence the faults on the HVDC transmission system can be

classified by considering the energy of the level 1 wavelet coefficients. For

the location of the faults on the HVDC transmission line the time interval

between the first two peaks of level 1 coefficients of RVTW has been used.

Among all the techniques for the classification and location of

faults in HVDC transmission system the wavelet based classification and

location techniques are proved to be more efficient and accurate.

However ANN based techniques are also competent in identifying and

locating the faults on HVDV transmission system. The major draw backs

of ANN based techniques is that they require huge amount of data and

computing time for training. The performance of the ANN is mostly

dependent on the quantity of data used for training the network. It is

observed from the comparison of the above three techniques for the

location of faults on the DC transmission line, the technique using the

wavelet coefficients is very much efficient than FFT and ANN.

Converter transformers are the major components of HVDC system

which are the interface between AC and DC systems. Therefore it is

Page 5: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

383

subjected to more amount of stress. The integrity of the transformer

mainly depends on the insulation. As the transformer is subjected to

various types of stresses such as lightening and switching, to achieve the

satisfactory operation and to identify various types of faults in the

transformer a most reliable and effective testing technique should be

adopted. A 315 MVA, single Phase, three winding converter transformer

has been considered for this analysis. From the configuration of the

windings in the transformer the internal inductances and capacitances

have been calculated. This equivalent circuit has been used for the

generation of neutral currents for various test conditions of the

transformer. The faults such as - turn to turn fault, turn to ground fault,

winding to winding fault, have been created on the converter transformer

model and the neutral current has been stored. The neutral current has

been analyzed using FFT, ANN and wavelet techniques.

From FFT plot of the neutral current signal, it is observed that the

DC component available during the normal operating condition is low

when compared to that of other operating conditions. The DC component

during the fault condition is more predominant. It is observed that in

case of turn to ground fault the DC component in the neutral current

depends on the position of the fault. However the magnitude of the DC

component for the section to section fault is independent of the location

of fault.

Page 6: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

384

The neutral current obtained during normal operating condition

has been decomposed into various frequency components and the

neutral current has been reconstructed using Gabor wavelet. This

method can be adopted for de-noising of the neutral current signal.

The neutral current data for various operating conditions has been

analyzed using ANN. The ANN training and testing data has been

generated by taking the local maximum value of the neutral currents

considered for a duration of 6.4 s. The results show that the ANN based

technique based on the local maximum value is more capable of

classifying the types of faults in the converter transformer.

The neutral current obtained from the HVDC transformer model

also been analyzed by using wavelet transform technique. The data has

been analyzed by using debauches wavelet and decomposed in 8 levels.

The normalized output of the low pass filter is used to train the ANN

using feed forward back propagation algorithm. The results show that

wavelet based techniques for the classification of faults in converter

transformer is most efficient and effective than the ANN based

techniques.

To validate the above analysis a typical winding structure has been

considered for experimental study. The following conclusions were drawn

from the experimental study. The digital recording of neutral currents in

the HV and taping windings of a 61MVA, 11kV/220kV transformer has

Page 7: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

385

been carried out by applying a Low voltage impulse at one of the terminal

for various test conditions of the winding. However the core has been

removed. The changes in the neutral current characteristics depend

primarily on the extent of failure. The neutral currents are recorded

using digital oscilloscope for healthy winding and also by shorting several

pairs of discs and turns in succession. The recorded neutral currents are

analyzed by using FFT and wavelet transform and different plots

obtained for each case have been presented. The absolute 8th level

wavelet coefficients have been normalized and are used to train and test

the ANN. The test results of the ANN have been presented. From the

experimental analysis it is observed that to obtain more accuracy more

amounts of data required for the training of ANN.

Hence it can be concluded that the wavelet transform technique is

a more efficient tool in the classification and location of faults in HVDC

system. In this thesis the HVDC system faults i.e. the faults in the

transmission line, converter transformer were analyzed by using FFT,

ANN and Wavelet Transform (WT) Techniques and the analysis based on

the wavelet transform technique has been identified as a most efficient

tool in the classification and location of faults. By just knowing the

length of the transmission line and time between the first two peaks of

the reverse voltage travelling wave, considering the velocity of the wave as

light velocity the location of the fault on the long DC transmission line

Page 8: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

386

can be determined. It is also possible to de-noise the signal using wavelet

transform technique to obtain more accurate fault location.

Page 9: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

387

Scope of Future work

This dissertation has made an extensive effort in analyzing various

faults associated with HVDC system. The faults such as single line to

ground fault, double line to ground fault and symmetrical faults on AC

side of rectifier and inverter, DC line faults were extensively studied in

this dissertation. The faults associated with the converter transformer

such as inter turn faults, inter winding faults and ground faults were

analyzed by using different fault analysis techniques.

Further work can be extended in the following areas:

The modeling of bi-polar HVDC system and analysis of faults in bi-

polar HVDC system.

The VSC HVDC model response for various fault conditions and

identification of faults.

For the detailed analysis of the converter transformer, it is required

to divide the transformer windings into more number of sections in order

to get more amounts of data to train the neural network to have better

accuracy. The future work can be extended in developing the transformer

model by considering the core into account. For the power frequency

Page 10: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

388

simulation of the converter transformer it is required to consider the core

of the transformer.

The analysis of the converter transformer based on the adoptive

wavelet technique which may provide a better solution in identifying the

type of the fault prevailing in the converter transformer.

The converter transformer can also be analyzed by using coherence

function which may give more accurate results in identifying and locating

the converter transformer faults.

The same techniques may also be implemented in reactors for

identification and location of faults.

Page 11: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

389

REFERENCES

[1] K.R. Padiyar, “HVDC Power Transmission Systems Technology and

System Interactions”, New Age International (P) Limited, Publishers,

New Delhi, 2002.

[b] S.S Rao, “EHVAC and HVDC transmission”, Khanna Publications,

[2] Philip Christopher Gregory, "Bayesian logical data analysis for the

physical sciences: a comparative approach with Mathematica

support", Cambridge University Press, 2005, pp. 412-415.

[3] Christopher M. Bishop, "Neural Networks for Pattern Recognition"

Oxford University Press, 1955.

[4] Mikhled Alfaouri and Khaled Daqrouq, "ECG Signal Denoising By

Wavelet Transform Thresholding", American Journal of Applied

Sciences 5 (3), 2008, pp. 276-281.

[5] http://www02.abb.com/global/seitp/seitp202.nsf/0/a521beb 28a

c88e75c12572250046e16a/$file/HVDC+history.pdf

[6] M. A. Rahman, B. Jeyasurya, "A state-of-the-art Review of

Transformer Protection Algorithms", IEEE Trans on Power Delivery,

Vol. 3, No 2, April 1988, pp 534-544.

[7] D. Robertson, O. Camps, and J. Mayer, “Wavelets and power

system transients”, SPIE international symposium on optical

engineering in aerospace sensing, Apr. 1994, pp. 474-487.

[8] P.F . Ribeiro, “Wavelet transform: an advanced tool for analysing

non-stationary harmonic distortion in power system”, Proceedings

of IEEE ICHPS, VI, Bologna, Sep. 21-23, 1994.

[9] Pham, V.L. Wong, K.P., “Wavelet-transform-based algorithm for

harmonic analysis of power system waveforms”, IEE Proceedings of

Generation, Transmission and Distribution, Vol. 146, No. 3, May

1999, pp. 249 –254.

Page 12: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

390

[10] Pham, V.L. Wong, K.P, “Antidistortion method for wavelet transform

filter banks and non-stationary power system waveform”, IEE

Proceedings of Generation, Transmission and Distribution, Vol.

148, No. 2, Mar. 2001, pp. 117 –122.

[11] Van Long Pham, Kit Po Wong, Watson, N., Arrillaga, J, “Sub-

harmonic state estimation in power systems”, IEEE Power

Engineering Society Winter Meeting, 2000, Vol. 2, pp. 1168 –1173.

[12] Tongxin Zheng; Makram, E.B.; Girgis, A.A.; “Power system

transient and harmonic studies using wavelet transform Matlab

toolbox”, IEEE Transactions on Power Delivery, Vol. 14, No. 4,

Oct.1999, pp. 1461 –1468.

[13] Gu, Y.H.; Bollen, M.H.J, “Time-frequency and time-scale domain

analysis of voltage disturbances”, IEEE detection and localization.

Transactions on Power Delivery, Vol. 15, No. 4, Oct.2000, pp. 1279-

1284.

[14] Ren Zhen; Huang Qungu; Guan Lin; Huang Wenying, “A new

method for power systems frequency tracking based on trapezoid

wavelet transform”, International Conference on Advances in Power

System Control, Operation and Management, 2000, Vol. 2, pp. 364

–369.

[15] Shyh-Jier Huang; Cheng-Tao Hsieh, “Application of continuous

wavelet transform for study of voltage flicker-generated signals”,

IEEE Transactions on Aerospace and Electronic Systems, Vol. 36,

No. 3 P art: 1, Jul. 2000, pp. 925 –932.

[16] Ming-Tang Chen; Sakis Meliopoulos, A.P. “Wavelet-based algorithm

for voltage flicker analysis”, Proceedings Ninth International

Conference on Harmonics and Quality of Power, 2000, Vol. 2, pp.

732–738.

[17] Santoso, S.; Powers, E.J.; Grady, W.M.; “Electric power quality

disturbance detection using wavelet analysis”, IEEE-SP Proceedings

Page 13: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

391

of International Symposium on Time-Frequency and Time-Scale

Analysis, 1994, pp. 166 –169.

[18] Santoso, S.; Powers, E.J.; Grady, W.M.; Hofmann, P. “Power quality

assessment via wavelet transform analysis”, Transactions on Power

Delivery, IEEE, Vol. 11, No. 2, Apr. 1996, pp. 924 –930.

[19] Santoso, S.; Powers, E.J.; Grady, W.M.; Parsons, A.C.; “Power

quality disturbance waveform recognition using wavelet-based

neural classifier. I. Theoretical foundation”, IEEE Transactions on

Power Delivery, Vol. 15, No. 1, Jan. 2000, pp. 222 –228.

[20] Santoso, S.; Powers, E.J.; Grady, W.M.; Parsons, A.C.; “Power

quality disturbance waveform recognition using wavelet-based

neural classifier. II. Application”, IEEE Transactions on Power

Delivery, Vol. 15, No. 1, Jan. 2000, pp. 229 –235.

[21] Santoso, S.; Powers, E.J.; Grady, W.M. “Power quality disturbance

data compression using wavelet transform methods”, IEEE

Transactions on Power Delivery, Vol. 12, No. 3, Jul. 1997, pp. 1250

–1257.

[22] Chung, J.; Powers, E.J.; Grady, W.M.; Bhatt, S.C., “New robust

voltage sag disturbance detector using an adaptive prediction error

filter”, IEEE Power Engineering Society Summer Meeting, 1999,

Vol. 1, pp. 512 –517.

[23] Gaouda, A.M.; Salama, M.M.A.; Sultan, M.R.; Chikhani, A.Y.

“Power quality detection and classification using wavelet-multi-

resolution signal decomposition”, IEEE Transactions on Power

Delivery, Vol. 14, No. 4 , Oct. 1999, pp. 1469 –1476.

[24] Cano Plata, E.A.; Tacca, H.E. “Power quality assessment and load

identification”, Proceedings. Ninth International Conference on

Harmonics and Quality of Power, 2000, Vol. 3, pp. 840 –845.

[25] Kawada, M.; Tungkanawanich, A.; Kawasaki, Z.-I.; Matsu-Ura, K.,

“Detection of wide-band E-M signals emitted from partial discharge

Page 14: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

392

occurring in GIS using wavelet transform”, IEEE Transactions on

Power Delivery, Vol. 15, No. 2, Apr. 2000, pp. 467 –471.

[26] Shim, I.; Soragan, J.J.; Siew, W.H.; Sludden, K.; Gale, P.F., “Robust

partial discharge measurement in MV cable networks using

discrete wavelet transforms”, IEEE Power Engineering Society

Winter Meeting, 2000., Vol. 1 , pp. 718 –723.

[27] Li, Z.M.; Feng, Y.P.; Chen, J.Q.; Zheng, X.G., “Wavelet analysis

used in UHF partial discharge detection in GIS (gas insulated

substations)”, International Conference 8th International

Conference on Power System Technology, Beijing, China, 1998.

Proceedings, Vol. 1, pp. 163 –166.

[28] S. J. Yao, Y. H. Song, L. Z. Zhang and X. Y. Cheng, “Wavelet

transform and neural networks for short-term electrical load

forecasting”, Energy Conversion and Management, Vol. 41, No. 18,

Dec. 2000, pp. 1975-1988.

[29] Huang, C.-M.; Yang, H.-T. “Evolving wavelet-based networks for

short-term load forecasting”, IEE Proceedings of Generation,

Transmission and Distribution, Vol. 148, No. 3, May 2001, pp. 222

–228.

[30] In-Keun Yu ; Chang-Il Kim ; Y. H. Song, “A Novel Short-Term Load

Forecasting Technique Using Wavelet Transform Analysis”, Electric

Machines and Power Systems, Taylor & Francis Inc., 2000, pp.

537–549.

[31] Weon-Ki Yoon; Devaney, M.J., “Power measurement using the

wavelet transform”, IEEE Transactions on Instrumentation and

Measurement, Vol. 47 No. 5, Oct. 1998, pp. 1205 –1210.

[32] Weon-Ki Yoon; Devaney, M.J. “Reactive power measurement using

the wavelet transform”, IEEE Transactions on Instrumentation and

Measurement, Vol. 49 No. 2, Apr. 2000, pp. 246 –252.

Page 15: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

393

[33] Hamid, E.Y.; Kawasaki, Z.-I. “Wavelet packet transform for RMS

values and power measurements”, IEEE Power Engineering Review,

Vol. 21, No. 9, Sept. 2001, pp. 49 –51.

[34] Jiang, F.; Bo, Z.Q.; Redfern, M.A.; Weller, G.; Chen, Z.; Dong

Xinzhou, “Application of wavelet transform in transient protection-

case study: busbar protection”, Seventh International Conference

on (IEE) Developments in Power System Protection, 2001, pp. 197 –

200.

[35] Chang, C.S.; Feng, T.; Khambadkone, A.M.; Kumar, S. “Remote

short-circuit current determination in DC railway systems using

wavelet transform”, IEE Proceedings of Electric Power Applications,

Vol. 147, No. 6, Nov. 2000, pp. 520 –526.

[36] Chang, C.S.; Kumar, S.; Liu, B.; Khambadkone, A., “Real-time

detection using wavelet transform and neural network of short-

circuit faults within a train in DC transit systems”, IEE Proceedings

of Electric Power Applications, Vol. 148, No. 3, May 2001, pp. 251-

256.

[37] Wu Guopei; Guan, L.; Ren Zhen; Huang Qungu, “A Novel method

for large turbine generator protection based on wavelet

transformation”, International Conference on Advances in Power

System Control, Operation and Management, 2000. Vol. 1, pp. 254

–258.

[38] Lin Tao; Ying Xianggeng; Chen Deshu, “Study on wavelet analysis

and its application to numerical protection for large synchronous

generator”, Proceedings of International Conference on Power

System Technology, 1998, Vol. 2, pp. 1121 –1129.

[39] Zhongming Ye; Bin Wu, “Online rotor bar breakage detection of

three phase induction motors by wavelet packet decomposition and

artificial neural network”, IEEE 32nd Annual Conference on Power

Electronics Specialists, 2001, Vol. 4, pp. 2209 –2216.

Page 16: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

394

[40] Wang, J.; McInerny, S.; Haskew, T. “Insulation fault detection in a

PWM controlled induction motor experimental design and

preliminary results”, Proceedings of Ninth International Conference

on Harmonics and Quality of Power, 2000, Vol. 2, pp. 487–492.

[41] Zhang, X.H.; Cao, Y.N.; Li, Y.L. “A new project for motor fault

detection and protection”, IEE Seventh International Conference on

Developments in Power System Protection, 2001, pp. 145 –148.

[42] Eren, L.; Devaney, M.J. “Motor bearing damage detection via

wavelet analysis of the starting current transient”, Proceedings of

the 18th IEEE Instrumentation and Measurement Technology

Conference, 2001, Vol. 3, pp. 1797 –1800.

[43] Jiang, F.; Bo, Z.Q.; Chin, P.S.M.; Redfern, M.A.; Chen, Z. “Power

transformer protection based on transient detection using discrete

wavelet transform (DWT)”, IEEE Power Engineering Society Winter

Meeting, 2000, Vol. 3, pp. 1856 –1861.

[44] Vanaja, R.; Udayakumar, K., “A new paradigm for impulse testing

of power transformers”, IEEE Power Engineering Society Winter

Meeting, 2000, Vol. 3, pp. 2206 –2210.

[45] Pandey, S.K.; Satish, L. “Multi-resolution signal decomposition: a

new tool for fault detection in power transformers during impulse

tests”, IEEE Transactions on Power Delivery, Vol. 13 No. 4, Oct.

1998, pp. 1194 –1200.

[46] Gomez-Morante, M.; Nicoletti, D.W. “A wavelet-based differential

transformer protection”, IEEE Transactions on Power Delivery, Vol.

14, No. 4, Oct. 1999, pp. 1351 –1358.

[47] Shaohua Jiao; Wanshun Liu; Peipu Su; Qixun Yang; Zhenhua

Zhang; Jianfei Liu, “A new principle of discrimination between

inrush current and internal short circuit of transformer based on

fuzzy sets”, Proceedings of International Conference on Power

System Technology, 1998, Vol. 2, pp. 1086 –1090.

Page 17: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

395

[48] Mao, P.L.; Aggarwal, R.K. “A novel approach to the classification of

the transient phenomena in power transformers using combined

wavelet transform and neural network”, IEEE Transactions on

Power Delivery, Vol. 16, No. 4, Oct 2001, pp. 654 –660.

[49] Magnago, F.H.; Abur, A., “Fault location using wavelets”, IEEE

Transactions on Power Delivery, Vol.13, No. 4, Oct. 1998, pp. 1475

–1480.

[50] Magnago, F.H.; Abur, A., “A new fault location technique for radial

distribution systems based on high frequency signals”, IEEE Power

Engineering Society Summer Meeting, 1999, Vol. 1, pp. 426 –431.

[51] Abur and F. H. Magnago, “Use of time delays between modal

components in wavelet based fault location”, International Journal

of Electrical Power & Energy Systems, Vol. 22, No. 6, Aug. 2000,

pp. 397-403.

[52] Silveira, P.M.; Seara, R.; Zurn, H.H. “An approach using wavelet

transform for fault type identification in digital relaying”, IEEE

Power Engineering Society Summer Meeting, 1999, Vol. 2, pp. 937

–942.

[53] W. Zhao, Y. H. Song and W. R. Chen, “Improved GPS travelling

wave fault locator for power cables by using wavelet analysis”,

International Journal of Electrical Power & Energy Systems, Vol.

23, No. 5, Jun. 2001, pp.403-411.

[54] Zhao, Y.H. Song and Y. Min, “Wavelet analysis based scheme for

fault detection and classification in underground power cable

systems”, Electric Power Systems Research, Vol. 53, No 1, 2000,

pp. 23-30.

[55] Dong Xinzhou; Ge Yaozhong; Xu Bingyin, “Fault position relay

based on current travelling waves and wavelets”, IEEE Power

Engineering Society Winter Meeting, 2000, Vol. 3, pp. 1997-2004.

[56] Chaari, O.; Meunier, M.; Brouaye, F. “Wavelets: a new tool for the

resonant grounded power distribution systems relaying”, IEEE

Page 18: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

396

Transactions on Power Delivery, Vol. 11, No. 3, Jul. 1996, pp. 1301

–1308.

[57] David Chan Tat Wai; Xia Yibin, “A novel technique for high

impedance fault identification”, IEEE Transactions on Power

Delivery, Vol. 13, No. 3, Jul. 1998, pp. 738 –744.

[58] Solanki, M.; Song, Y.H.; Potts, S.; Perks, A., “Transient protection of

transmission line using wavelet transform”, IEE Seventh

International Conference on Developments in Power System

Protection, 2001, pp.299 –302.

[59] S. Hanninen, M. Lehtonen, T. Hakola, R. Rantanen, “Comparison of

wavelet and differential equation algorithms in earth fault distance

computation”, Proceedings of Conference on Power System

Computation, Norway 1999.

[60] Charytoniuk, W.; Wei-Jen Lee; Mo-Shing Chen; Cultrera, J.;

Theodore Maffetone, “Arcing fault detection in underground

distribution networks- feasibility study”, IEEE Transactions on

Industry Applications, Vol. 36, No. 6, Nov.-Dec. 2000, pp. 1756–

1761.

[61] Shi, T.H.; Zhang, H.; Liu, P.; Zhang, D.J.; Wu, Q.H., “Accelerated

trip of power transmission line based on bi-orthogonal wavelet

analysis”, IEEE Power Engineering Society Summer Meeting, 2000,

Vol. 3, pp. 1333 –1337.

[62] K. Yu and Y. H. Song, “Development of novel adaptive single-pole

auto-reclosure schemes for extra high voltage transmission systems

using wavelet transform analysis”, Electric Power Systems

Research, Vol. 47, No. 1, Oct. 1998, pp. 11-19.

[63] I.K. Yu and Y.H. Song, “Wavelet analysis and neural networks

based adaptive single-pole auto-reclosure scheme for EHV

transmission systems”, International Journal of Electrical Power

and Energy Systems, Jul. 1998, pp. 465-474.

Page 19: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

397

[64] Yu, I.K.; Song, Y.H., “Wavelet transform and neural network

approach to developing adaptive single-pole auto-reclosing schemes

for EHV transmission systems”, IEEE Power Engineering Review,

Vol. 18, No. 11, Nov. 1998, pp. 62 –64.

[65] Li Youyi; Dong Xinzhou; Bo, Z.Q.; Chin, N.F.; Ge Yaozhang,

“Adaptive reclosure using high frequency fault transients”, IEE

Seventh International Conference on Developments in Power

System Protection, 2001, pp. 375-378.

[66] Robertson, D.C.; Camps, O.I.; Mayer, J.S.; Gish, W.B., “Wavelets

and electromagnetic power system transients”, IEEE Transactions

on Power Delivery, Vol. 11, No. 2, Apr. 1996, pp. 1050 –1058.

[67] Galli, Anthony Wayne, Gerald T. Heydt. “Analysis of electrical

transients in power systems via a novel wavelet recursion method”,

Thesis at Purdue University Graduate School, Oct. 1997.

[68] Wilkinson, W.A.; Cox, M.D. “Discrete wavelet analysis of power

system transients”, IEEE Transactions on Power Systems, Vol. 11,

No. 4, Nov. 1996, pp. 2038 – 2044.

[69] Heydt, G.T.; Galli, A.W. “Transient power quality problems analyzed

using wavelets”, IEEE Transactions on Power Delivery, Vol. 12, No.

2, Apr. 1997, pp. 908 –915.

[70] Meliopoulos, A.P.S.; Chien-Hsing Lee, “An alternative method for

transient analysis via wavelets”, IEEE Transactions on Power

Delivery, Vol. 15, No. 1, Jan. 2000, pp. 114 –121.

[71] Xianguing Liu; Pei Liu; Shijie Cheng, “A wavelet transform based

scheme for power transformer inrush identification”, IEEE Power

Engineering Society Winter Meeting, 2000, Vol. 3, pp. 1862 –1867.

[72] Qi Li; Chan, D.T.W. “Investigation of transformer inrush current

using a dyadic wavelet”, Proceedings of International Conference on

Energy Management and Power Delivery, 1998, Vol. 2, pp. 426 –

429.

Page 20: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

398

[73] Abur, A.; Ozgun, O.; Magnago, F.H. “Accurate modeling and

simulation of transmission line transients using frequency

dependent modal transformations”, IEEE Power Engineering

Society Winter Meeting, 2001, Vol. 3, pp. 1443 –1448.

[74] Magnago, F.H.; Abur, A., “Wavelet-based simulation of transients

along transmission lines with frequency dependent parameters”,

IEEE Power Engineering Society Summer Meeting, 2000, Vol. 2, pp.

689 –694.

[75] Bathurst, G.N.; Smith, B.C.; Watson, N.R.; Arrillaga, J, “Modelling

of HVDC transmission systems in the harmonic domain” Power

Delivery, IEEE Transactions on Volume 14, Issue 3, Jul 1999 pp

1075-1080.

[76] Bathurst, G.N.; Watson, N.R.; Arrillaga, J., “Modeling of bipolar

HVDC links in the harmonic domain”, Power Delivery, IEEE

Transactions, Volume 15, Issue 3, Jul 2000, pp. 1034-1038.

[77] Strobl B, G. Herold, “Harmonic Transfer Through Converters “, EPE

2001, pp. 1-10

[78] Yonyg He Liu; Perera, L.B.; Arrillaga, J.; Watson, N.R, “A Back to

Back HVDC Link With Multilevel Current Reinjection Converters”

Power Delivery, IEEE Transactions Volume 22, Issue 3, July 2007

pp. 1904-1909.

[79] Li Guangkai, Li Gengyin, Liang Haifeng, Yin Ming, “Research on

hybrid HVDC”, Power System Technology, 2004. Power Con 2004,

Volume: 2, pp. 1607- 1612.

[80] Naidoo, D. Ijumba, N.M., “HVDC line protection for the proposed

future HVDC systems”, Power System Technology, 2004. PowerCon

2004. Volume: 2, pp. 1327-1332.

[81] Takeda, H.; Ayakawa, H.; Tsumenaga, M.; Sanpei, M., “New

protection method for HVDC lines including cables”, Power

Delivery, IEEE Transactions, Volume 10, Issue 4, Oct 1995, pp.

2035 - 2039

Page 21: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

399

[82] Kato, Y.; Watanabe, A.; Konishi, H.; Kawai, T.; Inoue, Y.; Irokawa,

H., “Neutral Line Protection System for HVDC Transmission”, Power

Delivery, IEEE Transactions, Volume 1, Issue 3, July 1986, pp. 326

- 331

[83] Senthil, J. Padiyar, K.R. Sachchidanand, “A simulator study of

recovery of HVDC links following AC system faults” ACE'90.

Proceedings of [XVI Annual Convention and Exhibition of the IEEE

In India] pp. 45-49

[84] Darwish, H.A.; Taalab, A.-M.I.; Rahman, M.A, “Performance of

HVDC converter protection during internal faults” Power

Engineering Society General Meeting, 2006. IEEE Volume, Issue, 0-

0 0 Page(s):7

[85] Hua Li Fuchang Lin Junjia He Yuxin Lu Huisheng Ye Zhigang

Zhang, “Analysis and Simulation of Monopolar Grounding Fault in

Bipolar HVDC Transmission System”, Power Engineering Society

General Meeting, 2007, IEEE. pp. 1-5

[86] Xi-Mei Liu, Wan-Yun Wei, Fei Yu, "SVM Theory and Its Application

in Fault Diagnosis of HVDC System," Third International

Conference on Natural Computation (ICNC 2007), Vol. 1, pp.665-

669,

[87] Bhattacharya, S.; Dommel, H.W, “A new commutation margin

control representation for digital simulation of HVDC system

transients”, Power Systems, IEEE Transactions, Volume 3, Issue 3,

Aug 1988, pp. 127 – 1132.

[88] Lidong Zhang Dofnas, L., “A novel method to mitigate commutation

failures in HVDC systems”, Power System Technology, 2002.

Proceedings. PowerCon 2002. Volume: 1, pp. 51- 56.

[89] Lingxue Lin Yao Zhang Qing Zhong Zhiwei Liao, “Studies of

Commutation Failures in HVDC System Based on Hypersim”,

PowerCon 2006, pp. 1-7.

Page 22: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

400

[90] ABB Utilities, Ludvika, Sweden; “A novel method to mitigate

commutation failures in HVDC systems”, Power Systems

Technology 2002. Proceedings. Powerconn 2002. Volume: 1, pp.

51- 56.

[91] Johnson, R.K. Klemm, N.S. De Laneuville, H. Koetschau, S.G.

Wild, G., “Power modulation of Sidney HVDC scheme. I. RAS

control concept, realization and field tests”, power Delivery, IEEE

Transactions, Oct 1989, Vol. 4, No. 4, pp. 2145-2152.

[92] Hara, S. Hirose, M. Hatano, M. Kinoshita, S. Ito, H. Ibuki, K.,

“Fault protection of metallic return circuit of Kii channel HVDC

system”, AC-DC Power Transmission, 2001. Seventh International

Conference on (Conf. Publ. No. 485), pp. 132- 137.

[93] Kristmundsson, G.M.; Carroll, D.P., “The effect of AC system

frequency spectrum on commutation failure in HVDC inverters”,

Power Delivery, IEEE Transactions, Volume 5, Issue 2, Apr 1990,

pp. 1121 – 1128.

[94] Magnago, F.H. Abur, A., “Fault location using wavelets”, Power

Delivery, IEEE Transaction, Oct 1998, Vol. 13, No. 4, pp. 1475-

1480

[95] Ilaria Bartolini, Paolo Ciaccia, Florian Waas, “Using the wavelet

transform to learn from user feedback (2000)”, In Proceedings of

the First DELOS Network of Excellence Workshop on Information

Seeking, Searching and Querying in Digital Libraries, Zurich,

Switzerland, December 2000, pp 1-6.

[96] Gaouda, A.M. El-Saadany, E.F. Salama, M.M.A. Sood, V.K.

Chikhani, A.Y.; “Disturbance monitoring in HVDC systems using

wavelet multi-resolution analysis” Electric Utility Deregulation and

Restructuring and Power Technologies, 2000. Proceedings. DRPT

2000. pp 678-684.

[97] Gouda, A. M. El-Saadany, E. F. Salama, M. M. A. Sood, V. K.

Chikhani, A. Y., “Monitoring HVDC Systems Using Wavelet Multi-

Page 23: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

401

resolution Analysis” Power Engineering Review , IEEE. Nov. 2001

Vol. 21, Issue:11, pp. 54-55

[98] Shang, L. Herold, G. Jaeger, J. Krebs, R. Kumar, A.; “High-speed

fault identification and protection for HVDC line using wavelet

technique” Power Tech Proceedings, 2001 IEEE Porto Volume: 3, on

page(s): 5 pp. vol.3.

[99] Shang, L. Herold, G. Jaeger, J. Krebs, R. Kumar, A. “Analysis

and identification of HVDC system faults using wavelet modulus

maxima “, AC-DC Power Transmission, 2001. Seventh International

Conference on (Conf. Publ. No. 485), Publication Date: 28-30 Nov.

2001 pp 315- 320.

[100] Johan Driesen and Ronnie Belmas., “Time-frequency analysis in

power measurement using complex wavelets” Circuits and Systems,

2002.ISCAS 2002. IEEE International Symposium, Vol. 5, pp. 681-

684

[101] K.Harish Kashyap, U.Jayachandra Sheonoy, “Classification of

power system faults using wavelet transforms and probabilistic

neural networks”, Circuits and Systems,. IEEE International

Symposium, ISCAS 2002. Vol. 3, pp. 423- 426.

[102] Chilukuri, M.V. Dash, P.K. Khincha, H.P., “Fault analysis of

FACTS using phase-corrected wavelet transform and pattern

recognition approach”, TENCON 2003. Conference on Convergent

Technologies for Asia-Pacific region, Oct. 2003, Vol. 3, pp. 986- 992

[103] Dong Xinzhou, GE Yaozhong, Xu Bingyin., “Fault position relay

based on current travelling waves and wavelets”, Power Engineering

Society Winter Meeting 2000,IEEE. Jan 2000, Vol. 3, pp. 1997-

2004

[104] Ping Chen; Bingyin Xu; Jing Li; “Travelling Wave Based Fault

Locating System for HVDC Transmission Lines”, Power System

Technology, 2006. PowerCon 2006.

Page 24: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

402

[105] Wang Yuhong Ren Zhen Li Qunzhan, “Wavelets Selection for

Commutation Failure Detection in HVDC System” TENCON 2006.

2006 IEEE Region 10 Conference, Nov. 2006, pp 1-4.

[106] Elhaffar, A. Elkalashy, N.I. Lehtonen, M., “Experimental

Investigations on Multi-end Fault Location System based on

Current Travelling Waves”, Power Tech.2007 IEEE Lausanne., July

2007, pp. 1141-1146

[107] Yuhong Wang; Qunzhan Li; Xiaoqiong He; Cao Wen, “Commutation

failure recognition in HVDC systems using wavelet and shannon

entropy”, Electrical and Computer Engineering, 2008. CCECE

2008, Volume , Issue , 4-7 May 2008, pp. 001897 - 001902

[108] A.Borghetti, M. Bosetti, M.Di Silvestro, C.A. Nucci and M.Paolone,

“Continuous-Wavelet Transform for Fault Location in Distribution

Power Networks: Definition of Mother Wavelets Inferred From Fault

Originated Transients”, Power Systems , IEEE Transactions, May

2008, Vol. 23, Issue:2, pp. 380-388

[109] Rashmi Aspi Keswani, "Identification of Fault in HVDC Converters

Using Wavelet Based Multi-Resolution Analysis," ICETET, pp.954-

959, 2008 First International Conference on Emerging Trends in

Engineering and Technology, 2008.

[110] magnus öhrström*, martin geidl, lennart söder*, göran andersson,

“Evaluation of Travelling Wave Based Protection Schemes for

Implementation in Medium Voltage Distribution Systems”

[111] Lai,L.L.; Ndeh-Che,F.; Chari,T.; Rajroop, P.J.; Chandrasekharaiah,

H.S. “HVDC systems fault diagnosis with neural networks” Power

Electronics and Applications, 1993., Fifth European Conference on

vol.8, 13-16 Sep 1993 pp.145-150.

[112] Lai, L.L. “Application of neural networks to fault classification and

protection” Advances in Power System Control, Operation and

Management, 1997. APSCOM-97. Fourth International Conference

on (Conf. Publ. No. 450) Vol. 1, No. 11-14, Nov 1997 pp.72 – 76.

Page 25: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

403

[113] Narendra K. G.; Sood V. K.; Khorasani K.; Patel R.; “Application of a

Radial Basis Function (RBF) Neural Network for fault diagnosis in a

HVDC system”, IEEE transactions on power systems ISSN 0885-

8950 CODEN ITPSEG 1998, vol. 13, no1, pp. 177-183.

[114] R. Malewski, T. Mc Comb and M. M. C. Collins, "Measuring

Properties of Fast Digitizers Employed For Recording HV Impulses",

IEEE Trans Instrument Measurement, Vol. IH-32, No. 1, 1983, pp.

17-22.

[115] R. Hanique "A Transfer Function is a Reliable Tool for Comparison

of Full and Chopped Lightning Impulse Tests" IEEE Trans on Power

Delivery, Vol. 9, July 1994, pp. 1261-1266.

[116] J. Bak-Jeno;en, B. Bak-Jensen, S. D. Mikkelsen, "Detection Of

Faults And Ageing Phenomena In Transformers By Transfer

Function", IEEE Trans on Power Delivery, Vol. 10, No. 1, Jan 1995,

pp 308-314.

[117] E. Rahim Pour, J. Christian, Kurt Feser, "Transfer Function

Method to Diagnose Axial Displacement And Radial Deformation Of

Transformer Windings", IEEE Trans on Power Delivery, Vol. 18, No

2, April 2003.

[118] J. Christian, Kurt Feser, "Procedures for Detecting Winding

Displacements in Power Transformers by the Transfer Function

Method", IEEE Trans on Power Delivery, Vol. 19, Jan 2004, pp 214-

219.

[119] Chang Qing Zhang, R. Eugene Stuffle, Linda R. Stuffle, "Analytical

Method for Transformer Fault Detection", M. S. E. Jhesis, Idaho

State University, 1991, pp 1541-1545.

[120] James J. Dukarm, ''Transformer Oil Diagnosis Using Fuzzy and

Neural Networks", IEEE Trans 1993, pp 329-332.

[121] Y. Zhang, X. Ding, Y. liu, P. J. Griffin" An Artificial Neural Network

approach to Transformer Fault Diagnosis" IEEE Trans on Power

Delivery, Vol. 11, No 4, October 1996, pp 1836-1841.

Page 26: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

404

[122] N. K Patel, R. K Khubchandani, "ANN Based Power Transformer

Fault Diagnosis", IE (I) Joumal-EL, Vol. 85, June 2004, pp 60-63.

[123] T. Nogami, Yoshihide Yokoi, Hideo Ichiba, Yoshihiro Atsumi, "Gas

Discrimination Method For Detecting Transformer Faults By Neural

Network", IEEE Trans. Elec. Insul., Vol. 4, 1994, pp 3800-3805.

[124] S. Birlasekaran and G. Ledwich, “Use of FIT and ANN Techniques

In Monitoring Of Transformer Fault Gases", International

Symposium on Electrical Insulating Materials, Japan, September

27-30, 1998, pp 75-78.

[125] Luis G. Perez, Alferd J. Flechsig, Jack L. Meador, Zoran Obradovic "

Training An Artificial Neural Network To Discriminate Between

Magnetizing Inrush And Internal Faults" IEEE Trans on Power

Delivery, Vol. 9, No. 1, Jan 1994, pp 434­441.

[126] M. R Zaman and M. A Rahman "Experimental Testing Of The

Artificial Neural Network B~-j Protection Of Power Transformers"

IEEE Trans on Power Delivery, Vol. 13, No 2, April 1998, pp 510-

516.

[127] H T. Yang, W. Y. Chang and C. L. Huang "A New Neural Network

Approach To Online Fault Section Estimation Using Information Of

Protective Relays And Circuit Breakers" IEEE Trans Power Delivery,

Vol. 9, Jan 1994, pp 220-229.

[128] HWang, K L. Butler "Modeling of Transformer Internal Short Circuit

Faults Using Neural Network Techniques".

[129] P. Alves da Silva, A. H. F. Insfran, P.M. da Silveria, G. Lambert

Torres, "Neural Networks for Fault Location in Substations", IEEE

Trans on Power Delivery, Vol. 11, No 1, Jan 1996, pp 234-239.

[130] J. Mazon, I. Zamora, 1. Gracia, K. J. Sagastabeitia, J. R. Saenz,

“Selecting ANN Structures To Find Transmission Faults”, Vol. 14,

No 3, July 2001, pp 7-8.

[131] Ghendy Cardoso, Jr., 1. G. Rolim and H. H. Ziim, "Application of

Neural Network Modules to Electric Power System Fault Section

Page 27: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

405

Estimation", IEEE Trans on power Delivery, Vol. 19, No 3, July

2004, pp 1034-1041.

[132] David C. Yu, James C. Cummins, Zhuding Wang, Hong-Jun Yoon

and Ljubomir A. Kojovic, "Correction Of Current Transformer

Distorted Secondary Currents Due To Saturation Using Artificial

Neural Networks", IEEE Trans on Power Delivery, Vol. 16, No 2,

April 2001, pp 189-194.

[133] Gaganpreet Chawla, Mohinder S. Sachdev, G. Ramakrishna,

"Artificial Neural Network Application for Power System Protection",

IEEE Trans on Power Delivery, Vol. 1, No 2, May 2005, pp 1954-

1957.

[134] Michael Negnevitsky, Vsevolod Pavlovsky, "Neural Networks

Approach to Online Identification of Multiple Failures of Protection

Systems" IEEE Trans on Power Delivery, Vol. 20, No 2, April 2005,

pp 588-594.

[135] P. Werle, A. Akbari, H. Borsi, E. Gockenbach, "Partial Discharge

Localisation on Power Transformer using Neural Networks

combined with Sectional Winding Transfer Functions as Knowledge

Base" International Symposyum on electric insulating materials

(ISEIM), Himeji, Japan, 2001, pp. N-179.

[136] Li. Yongli, Gu. Fuhai, He. Jiali, "A Study On The Fault

Identification Of Transformers Using The Neural Network", IEEE

Trans on Power Delivery, Vol. 2, 18-21 Aug.1998, pp 1058-1061.

[137] Dr. A. S. Zadgaonkar, A. S. Thoke, "Application of Artificial Neural

Network to Power Transformer Protection (short- circuits and

overloads)" Electrical Review Magazine, November 2002, pp 13-17.

[138] McDermid, W. Glodjo, A. Bromley, J.C. Manitoba Hydro, and

Winnipeg, Man, “ Analysis of winding failures in HVDC converter

transformers “, Electrical Insulation Conference and Electrical

Manufacturing & Coil Winding Conference, Cincinnati, OH 1999.

Proceedings, pp.653-657.

Page 28: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

406

[139] [140] W. McDermid D.H. Grant A. Glodjo and J.C. Bromley,

"Analysis of Converter Transformer Failures and Application of

Periodic On-line Partial Discharge Measurements", Electrical

Insulation Conference and Electrical Manufacturing & Coil Winding

Conference, 2001. Proceedings, pp.577-582.

[140] [141] Grant, D.H. McDermid, W. Manitoba Hydro and Winnipeg,

Man, “Assessment of thermal aging of HVDC converter transformer

insulation”, Conference Record of the 2004 IEEE International

Symposium on Electrical Insulation on 19-22 Sept. 2004, pp. 230 –

232.

[141] [142] R. Leelaruji, J. Setréus, and G. Olguin, “Availability

Assessment of the HVDC Converter Transformer System”,

Probabilistic Methods Applied to Power Systems, 2008. PMAPS '08.

Proceedings of the 10th International Conference on 25-29 May

2008, pp. 1 - 8

[142] LI, Yong, NAKAMURA, Kazuo, LUO, Longfu and LIU Fusheng,

"Analysis of Characteristic Parameters of Auto-compensation and

Harmonic-shielding Converter Transformer for HVDC Transmission

System", The International Conference on Electrical Engineering

2008, July 6-10, 2008, OKINAWA, JAPAN, pp. 1-6.

[143] [144] G. Bhuvaneswari, Senior Member, IEEE, and B. C. Mahanta,

"Analysis of Converter Transformer Failure in HVDC Systems and

Possible Solutions", IEEE Transactions on Power Delivery, April

2009, Vol.24, No.2, pp.814-821.

[144] M. S. Naidu, V. Kamaraju "High Voltage Engineering" Second

Edition TATA Mc Graw Hill press, 1996, PP339-342.

[145] Ryszard Malewski, Bertrand Poulin, "Impulse Testing of Power

Transformer using the Transfer Function Method", IEEE Trans on

Power Delivery, Vol. 3, No 2, April 1988, pp 476-489.

[146] Syed M. Islam & Gerard Ledwich, "Locating Transformer Faults

through Sensitivity Analysis of High Frequency Modeling Using

Page 29: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

407

Transfer Function Approach", IEEE International symposium of an

Electrical Insulation Material, Qurbec Canada, June 16-19, 1996,

pp 38-41.

[147] Patrick Bastard, Pierre Bertrand, Michel Meunier, "A Transformer

Model for Winding Fault Studies", IEEE Trans on Power Delivery,

Vol. 9, N02, April 1994, pp 690-699.

[148] V. Brabdwajn, H. W. Dommel, I. I. Dommel, "Matrix Representation

of Three Phase N-winding Transformers", IEEE Trans on P.A.S,

June 1982, pp 1369-1378.

[149] H. Wang, K. L. Butler, "Finite Element Analysis of Internal Winding

Faults In Distribution Transformer", IEEE Trans on Power Delivery,

Vol. 16, No 3, July 2001, pp 422-428.

[150] H. Wang, K. L. Butler, "Modeling Transformers with Internal

Incipient Faults", IEEE Trans on Power Delivery, Vol. 17, No 2,

April 2002, pp 500-509.

[151] P. T. N. Vaessen, E. Hanique, "A New Frequency Response Analysis

Method for Power Transformer", IEEE Trans Power delivery, Vol. 7,

January 1998, pp 384-391.

[152] Juan A. Martinez, Bruce A. Mork, "Transformer Modeling for Low

and Mid­Frequency Transients- A Review", IEEE Trans on Power

Delivery, Vol. 20, No 2, April 2005, pp 1625-1632.

[153] Simon Ryder, "Frequency Response Analysis for Diagnostic Testing

of Power Transformers", Electricity today Magazine article pp 1 to 8.

[154] Jong - Wook Kim, Byung Koo Park, Seung Cheol Jeong, Sang Woo

Kim, PooGyeon Park, "Fault Diagnosis Of Power Transformer Using

An Improved Frequency -Response Analysis", IEEE Trans on Power

Delivery, Vol. 20, No 1, Jan 2005, pp 169-178.

[155] Littler, T.B.; Morrow, D.J. “Wavelets for the analysis and

compression of power system disturbances”, IEEE Transactions on

Power Delivery, Vol. 14, No. 2, Apr. 1999, pp. 358 –364.

Page 30: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

408

[156] E. Styvaktakis, M.H.J. Bollen, I.Y.H. Gu, “A fault location technique

using high frequency fault clearing transients”, IEEE Power Eng.

Rev. 19, May 1999, pp. 50-60.

[157] K R Padiyar, "HVDC Power Transmission Systems (Technology and

system interactions)"New Age International (P) Limited, Publishers,

New Delhi.

[158] Edward Wilson Kimbark, “Direct Current Transmission”, Vol.1,

Wiley-Interscience, a Division of John Wiley & Sons, Inc, New York,

1971.

[159] Jos Arrillaga, Y H Liu, N R Watson, ”Flexible Power

Transmission(The HVDC optons)”, John wiley & Sons Ltd.,

England.

Page 31: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

409

RESEARCH PUBLICATIONS FROM THIS THESIS

[1] P Krishna Murthy, J. Amarnath, S. Kamakshaiah and B.P.

Singh,“Wavelet Transform approach for Detection and Location of

Faults in HVDC System”, IEEE Region 10 colloquium and the third

ICIIS, Kharagpur, India, December 8-10, 2008, pp. 1-6

[2] P Krishna Murthy, J. Amarnath, S. Kamakshaiah and B.P. Singh,

“HVDC transmission System fault Diagnosis and location using

Artificial Neural Networks” International Conference on Energy and

Environment, EnviroEnergy 2009, March 19-21, 2009, pp. 847-

851.

[3] P Krishna Murthy, J. Amarnath, S. Kamakshaiah and B.P. Singh,

“Internal Fault Diagnosis of HVDC Converter Transformer using

wavelet Transform Technique”, 16th International Symposium on

High Voltage(ISH-2009), Capetown, South Africa, 24th – 28th Aug

2009. pp. 1611-1614.

[4] P Krishna Murthy, J. Amarnath, S. Kamakshaiah and B.P. Singh,

“Classification of internal faults of a converter transformer using

Wavelet Transforms”, Third International Conference on Power

Systems (ICPS-2009), Kharagpur, India, 27-29 December, 2009.

(Accepted for oral presentation)

[5] P Krishna Murthy, J. Amarnath, S. Kamakshaiah and B.P. Singh,

“Location of faults in HVDC converter transformer using wavelet

techniques”, TRAFOTECH-2010. Accepted for presentation

[6] Pannala Krishna Murthy, J. Amarnath, S. Kamakshaiah and B.

Murali Krishna, “Recognition of faults in HVDC system by wavelet

analysis” J. Curr.Sci. 12(1), (2008), Pp. 33-42.

Page 32: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

410

[7] P Krishna Murthy, J. Amarnath and B.P. Singh, “Reconstruction of

HVDC Converter Transformer Neutral Current using Gabor

Wavelet”, Indian Electrical and Electronics Manufacturers

Association (IEEMA JOURNAL), JUNE 2009, pp.118-121.

[8] P Krishna Murthy, J. Amarnath, S. Kamakshaiah and B.P. Singh,

“ANN Based Internal Fault Diagnosis of HVDC converter

Transformer” International Journal of Applied Engineering

Research (IJAER)" Vol.4 No.6, 2009, pp 867-876.

[9] P Krishna Murthy, J. Amarnath, and S. Kamakshaiah, “HVDC

transmission line fault location using FFT analysis”, International

Journal of Applied Engineering Research (IJAER) Communicated.

Page 33: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

411

ANNEXURE - I

Specifications of HVDC system model

AC Terminal equipment:

5000MVA equivalent at Rectifier:

VL = 500 kV

f = 60 Hz

Connection: Y Grounded

Source inductance= 98.03 mH

Parallel RL Branch connected in series with the AC source:

R = 26.07

L = 48.86 mH

10000MVA equivalent at Inverter:

VL = 345 kV

f = 50 Hz

Connection: Y Grounded

Source inductance= 28.0 mH

Parallel RL Branch connected in series with the AC source:

R = 6.205

L = 13.96 mH

Page 34: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

412

AC filters:

60Hz, 600MVAR AC filter bank at rectifier

150 MVAR shunt capacitor bank

Tuned filters

11th Harmonic filter, 150 MVAR, Q =100.

13th Harmonic filter, 150 MVAR, Q =100.

24th Harmonic filter, 150 MVAR, Q =3.

50Hz, 600MVAR AC filter bank at Invertor

150 MVAR shunt capacitor bank

Tuned filters

11th Harmonic filter, 150 MVAR, Q =100.

13th Harmonic filter, 150 MVAR, Q =100.

24th Harmonic filter, 150 MVAR, Q =3.

Converter Transformers:

Converter Transformer at rectifier:

Rating: 1200MVA

f = 60Hz

HVAC winding Equivalent circuit Parameters:

VL = 500 kV

Tap = 0.9 (fixed)

R1 = 0.0025 (p.u.)

L1 = 0 (p.u.)

Connection: Y ground

HVDC winding Equivalent circuit Parameters:

V2 = 200 kV

R2 = 0.0025 (p.u.)

L2 = 0.24 (p.u.)

Connection: Y

Page 35: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

413

HVDC winding Equivalent circuit Parameters:

V2 = 200 kV

R2 = 0.0025 (p.u.)

L2 = 0.24 (p.u.)

Connection:

Magnetizing Resistance (Rm) = 500 (p.u.)

Magnetizing Reactance (Lm) = 500 (p.u.)

Converter Transformer at Inverter:

Rating: 1200MVA

f = 50Hz

HVAC winding Equivalent circuit Parameters:

VL = 345 kV

Tap = 0.96 (fixed)

R1 = 0.0025 (p.u.)

L1 = 0 (p.u.)

Connection: Y ground

HVDC winding Equivalent circuit Parameters:

V2 = 200 kV

HVDC – winding – 1 Equivalent circuit Parameters:

V2 = 200 kV

R2 = 0.0025 (p.u.)

L2 = 0.24 (p.u.)

Connection: Y

HVDC winding - 2 Equivalent circuit Parameters:

V2 = 200 kV

R2 = 0.0025 (p.u.)

L2 = 0.24 (p.u.)

Connection:

Magnetizing Resistance (Rm) = 500 (p.u.)

Magnetizing Reactance (Lm) = 500 (p.u.)

Page 36: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

414

Each Six Pulse Thyristor Bridge Ratings:

No. of Bridge arms: 3

Snubbed Resistance: Rs = 2000

Snubber Capacitance Cs= 0.1 f

Ron=1 m

Lon=0 H

Forward Voltage Vf= 0 V

Smothing Reactors:

R = 1

L = 0.5 H

HVDC transmission Line Parameters:

Distributed Parameter Line

f = 60 Hz

R = 0.015 /kM

L = 0.0792 mH/kM

C = 14.4 nf/kM

Line length = 300 kM

Page 37: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

415

ANNEXURE – II

The digitalized reverse voltage travelling wave obtained during the

following operating conditions of the HVDC system:

Normal operating condition

DC fault at 50 kM away from the rectifier with a fault resistance of

1.

LG fault on the AC side of the inverter

Time (ms) no fault (V) DC fault(V) LG fault (V)

1.00E-05 14.94 14.96 14.96

2.00E-05 14.88 14.88 14.88

3.00E-05 14.83 14.86 14.86

4.00E-05 14.78 14.80 14.80

5.00E-05 14.70 14.71 14.71

6.00E-05 14.54 14.55 14.55

7.00E-05 14.38 14.39 14.39

8.00E-05 14.22 14.22 14.22

9.00E-05 14.09 14.09 14.09

1.00E-04 13.95 13.95 13.95

1.10E-04 13.83 13.83 13.83

1.20E-04 13.76 13.76 13.76

1.30E-04 13.73 13.70 13.70

1.40E-04 13.72 13.71 13.71

1.50E-04 13.78 13.08 13.76

1.60E-04 13.90 11.07 13.76

1.70E-04 14.04 8.48 13.65

1.80E-04 14.23 5.97 13.45

1.90E-04 14.38 3.52 13.12

2.00E-04 14.56 1.12 12.69

2.10E-04 14.63 -1.27 12.12

2.20E-04 14.68 -3.68 11.46

2.30E-04 14.68 -6.10 10.69

2.40E-04 14.63 -8.54 9.82

2.50E-04 14.53 -11.01 8.88

2.60E-04 14.38 -13.50 7.89

2.70E-04 14.25 -15.98 6.88

2.80E-04 14.07 -18.45 5.81

2.90E-04 13.89 -20.92 4.74

3.00E-04 13.71 -23.38 3.66

3.10E-04 13.53 -25.83 2.58

3.20E-04 13.34 -28.28 1.49

3.30E-04 13.15 -30.70 0.40

3.40E-04 12.95 -33.12 -0.69

3.50E-04 12.79 -35.51 -1.75

3.60E-04 12.60 -37.90 -2.82

3.70E-04 12.46 -40.26 -3.85

3.80E-04 12.30 -42.57 -4.88

3.90E-04 12.21 -44.86 -5.85

4.00E-04 12.14 -47.08 -6.77

4.10E-04 12.13 -49.07 -7.64

4.20E-04 12.16 -50.32 -8.45

4.30E-04 12.25 -50.52 -9.21

4.40E-04 12.40 -50.00 -9.89

4.50E-04 12.56 -49.34 -10.55

4.60E-04 12.77 -48.75 -11.16

Page 38: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

416

4.70E-04 12.96 -48.21 -11.78

4.80E-04 13.17 -47.76 -12.38

4.90E-04 13.35 -47.37 -13.00

5.00E-04 13.49 -47.06 -13.65

5.10E-04 13.62 -46.81 -14.32

5.20E-04 13.67 -46.66 -15.05

5.30E-04 13.70 -46.58 -15.80

5.40E-04 13.70 -57.41 -16.58

5.50E-04 13.68 -116.96 -17.38

5.60E-04 13.64 -217.18 -18.19

5.70E-04 13.59 -281.42 -19.00

5.80E-04 13.50 -294.15 -19.85

5.90E-04 13.37 -294.21 -20.74

6.00E-04 13.21 -294.26 -21.66

6.10E-04 13.02 -294.36 -22.59

6.20E-04 12.83 -294.46 -23.54

6.30E-04 12.64 -294.58 -24.47

6.40E-04 12.46 -294.77 -25.40

6.50E-04 12.30 -294.98 -26.30

6.60E-04 12.17 -295.27 -27.17

6.70E-04 12.07 -295.62 -28.00

6.80E-04 12.01 -296.25 -28.80

6.90E-04 11.97 -297.57 -29.57

7.00E-04 11.97 -299.69 -30.29

7.10E-04 12.01 -302.32 -30.97

7.20E-04 12.08 -305.04 -31.63

7.30E-04 12.22 -307.65 -32.20

7.40E-04 12.40 -310.13 -32.74

7.50E-04 12.60 -312.50 -33.24

7.60E-04 12.83 -314.73 -33.73

7.70E-04 13.02 -316.92 -34.24

7.80E-04 13.19 -319.12 -34.74

7.90E-04 13.36 -321.32 -35.30

8.00E-04 13.50 -326.11 -35.87

8.10E-04 13.60 -348.01 -36.46

8.20E-04 13.68 -406.63 -37.09

8.30E-04 13.72 -488.76 -37.74

8.40E-04 13.77 -549.99 -38.42

8.50E-04 13.78 -572.39 -39.08

8.60E-04 13.79 -574.92 -39.78

8.70E-04 13.80 -574.19 -40.49

8.80E-04 13.81 -573.45 -41.17

8.90E-04 13.83 -572.79 -41.87

9.00E-04 13.86 -572.12 -42.58

9.10E-04 13.93 -571.51 -43.24

9.20E-04 14.00 -570.90 -43.88

9.30E-04 14.13 -570.29 -44.50

9.40E-04 14.28 -569.63 -45.10

9.50E-04 14.43 -568.77 -45.69

9.60E-04 14.61 -567.46 -46.25

9.70E-04 14.68 -565.49 -46.87

9.80E-04 14.73 -562.99 -47.51

9.90E-04 14.75 -560.28 -48.17

1.00E-03 14.78 -557.53 -48.79

1.01E-03 14.83 -554.83 -49.42

1.02E-03 14.88 -552.18 -50.04

1.03E-03 14.95 -549.54 -50.67

1.04E-03 15.00 -547.01 -51.26

1.05E-03 15.07 -544.60 -51.89

1.06E-03 15.15 -542.28 -52.52

1.07E-03 15.20 -540.02 -53.18

1.08E-03 15.22 -537.86 -53.86

1.09E-03 15.22 -535.73 -54.59

1.10E-03 15.19 -533.64 -55.32

1.11E-03 15.16 -531.56 -56.11

1.12E-03 15.08 -529.50 -56.92

1.13E-03 15.00 -527.43 -57.73

1.14E-03 14.93 -525.40 -58.56

1.15E-03 14.87 -523.39 -59.35

1.16E-03 14.79 -521.43 -60.15

1.17E-03 14.66 -519.55 -61.01

1.18E-03 14.53 -517.69 -61.87

1.19E-03 14.44 -515.91 -62.75

1.20E-03 14.37 -514.18 -63.62

1.21E-03 14.28 -512.63 -64.48

1.22E-03 14.25 -511.40 -65.32

1.23E-03 14.23 -510.72 -66.15

1.24E-03 14.20 -510.66 -66.95

1.25E-03 14.20 -511.10 -67.77

1.26E-03 14.20 -511.75 -68.59

1.27E-03 14.20 -512.36 -69.41

1.28E-03 14.20 -512.81 -70.23

1.29E-03 14.19 -513.09 -71.07

1.30E-03 14.19 -513.24 -71.89

1.31E-03 14.20 -513.25 -72.72

1.32E-03 14.21 -513.17 -73.54

Page 39: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

417

1.33E-03 14.25 -513.01 -74.36

1.34E-03 14.27 -512.80 -75.18

1.35E-03 14.30 -512.56 -76.01

1.36E-03 14.32 -512.27 -76.85

1.37E-03 14.32 -511.96 -77.73

1.38E-03 14.30 -511.60 -78.60

1.39E-03 14.27 -511.21 -79.51

1.40E-03 14.23 -510.77 -80.41

1.41E-03 14.19 -510.33 -81.33

1.42E-03 14.18 -509.85 -82.25

1.43E-03 14.18 -509.35 -83.13

1.44E-03 14.19 -508.82 -84.02

1.45E-03 14.20 -508.28 -84.89

1.46E-03 14.27 -507.74 -85.74

1.47E-03 14.33 -507.12 -86.58

1.48E-03 14.41 -506.40 -87.40

1.49E-03 14.53 -505.40 -88.22

1.50E-03 14.66 -503.98 -89.06

1.51E-03 14.81 -502.07 -89.97

1.52E-03 14.98 -499.75 -90.92

1.53E-03 15.13 -497.27 -91.96

1.54E-03 15.27 -494.77 -93.13

1.55E-03 15.37 -492.35 -94.36

1.56E-03 15.44 -490.00 -95.70

1.57E-03 15.49 -487.73 -97.14

1.58E-03 15.51 -485.50 -98.63

1.59E-03 15.50 -483.34 -100.19

1.60E-03 15.45 -481.21 -101.78

1.61E-03 15.42 -479.12 -103.40

1.62E-03 15.34 -477.04 -105.03

1.63E-03 15.29 -475.01 -106.67

1.64E-03 15.21 -473.03 -108.32

1.65E-03 15.14 -471.08 -110.00

1.66E-03 15.06 -469.20 -111.66

1.67E-03 14.97 -467.42 -113.32

1.68E-03 14.89 -465.70 -114.97

1.69E-03 14.79 -464.06 -116.61

1.70E-03 14.65 -462.49 -118.21

1.71E-03 14.49 -460.99 -119.83

1.72E-03 14.32 -459.53 -121.42

1.73E-03 14.16 -458.12 -123.03

1.74E-03 14.01 -456.78 -124.62

1.75E-03 13.89 -455.64 -126.19

1.76E-03 13.80 -454.82 -127.75

1.77E-03 13.74 -454.48 -129.33

1.78E-03 13.72 -454.67 -130.92

1.79E-03 13.72 -455.26 -132.60

1.80E-03 13.73 -456.10 -134.34

1.81E-03 13.74 -457.00 -136.18

1.82E-03 13.71 -457.80 -138.10

1.83E-03 13.69 -458.49 -140.11

1.84E-03 13.66 -459.02 -142.18

1.85E-03 13.61 -459.32 -144.28

1.86E-03 13.53 -458.83 -146.44

1.87E-03 13.44 -455.30 -148.61

1.88E-03 13.29 -443.51 -150.81

1.89E-03 13.15 -416.72 -153.02

1.90E-03 12.96 -372.95 -155.23

1.91E-03 12.79 -320.46 -157.43

1.92E-03 12.62 -274.19 -159.61

1.93E-03 12.44 -244.64 -161.75

1.94E-03 12.28 -231.70 -163.89

1.95E-03 12.11 -228.87 -166.00

1.96E-03 11.94 -230.03 -168.06

1.97E-03 11.79 -232.07 -170.09

1.98E-03 11.66 -234.17 -172.10

1.99E-03 11.55 -236.19 -174.03

2.00E-03 11.46 -238.12 -175.93

2.01E-03 11.39 -239.89 -177.76

2.02E-03 11.36 -241.41 -179.53

2.03E-03 11.40 -242.55 -181.21

2.04E-03 11.45 -243.23 -182.84

2.05E-03 11.57 -243.44 -184.40

2.06E-03 11.72 -243.33 -185.88

2.07E-03 11.90 -243.12 -187.30

2.08E-03 12.09 -242.93 -188.71

2.09E-03 12.30 -242.89 -190.06

2.10E-03 12.52 -243.02 -191.40

2.11E-03 12.76 -243.28 -192.70

2.12E-03 12.97 -243.42 -193.97

2.13E-03 13.19 -242.57 -195.24

2.14E-03 13.37 -238.20 -196.50

2.15E-03 13.52 -225.50 -197.79

2.16E-03 13.63 -199.37 -199.07

2.17E-03 13.75 -159.23 -200.34

2.18E-03 13.84 -112.46 -201.62

Page 40: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

418

2.19E-03 13.90 -71.24 -202.89

2.20E-03 13.97 -44.55 -204.12

2.21E-03 14.04 -33.27 -205.34

2.22E-03 14.12 -32.40 -206.55

2.23E-03 14.19 -36.27 -207.73

2.24E-03 14.29 -41.61 -208.89

2.25E-03 14.40 -47.17 -210.02

2.26E-03 14.53 -52.76 -211.08

2.27E-03 14.68 -58.36 -212.11

2.28E-03 14.81 -64.03 -213.10

2.29E-03 14.87 -69.74 -214.02

2.30E-03 14.84 -75.66 -214.93

2.31E-03 14.75 -81.80 -215.80

2.32E-03 14.65 -88.27 -216.63

2.33E-03 14.52 -94.99 -217.44

2.34E-03 14.41 -101.90 -218.21

2.35E-03 14.32 -108.88 -218.92

2.36E-03 14.27 -115.82 -219.61

2.37E-03 14.23 -122.72 -220.24

2.38E-03 14.25 -129.57 -220.86

2.39E-03 14.28 -136.28 -221.42

2.40E-03 14.33 -142.81 -222.00

2.41E-03 14.39 -149.20 -222.52

2.42E-03 14.42 -155.40 -223.04

2.43E-03 14.42 -161.38 -223.56

2.44E-03 14.43 -167.23 -224.07

2.45E-03 14.43 -172.95 -224.59

2.46E-03 14.38 -178.56 -225.08

2.47E-03 14.35 -184.08 -225.57

2.48E-03 14.30 -189.50 -226.08

2.49E-03 14.26 -194.85 -226.56

2.50E-03 14.24 -200.08 -227.03

2.51E-03 14.20 -205.21 -227.48

2.52E-03 14.18 -210.20 -227.92

2.53E-03 14.19 -215.07 -228.32

2.54E-03 14.21 -219.80 -228.71

2.55E-03 14.27 -224.32 -229.05

2.56E-03 14.34 -228.62 -229.38

2.57E-03 14.38 -232.55 -229.69

2.58E-03 14.44 -236.08 -230.00

2.59E-03 14.46 -239.20 -230.31

2.60E-03 14.45 -241.98 -230.65

2.61E-03 14.43 -244.60 -231.02

2.62E-03 14.40 -247.18 -231.37

2.63E-03 14.40 -249.85 -231.71

2.64E-03 14.44 -252.63 -232.08

2.65E-03 14.50 -255.60 -232.50

2.66E-03 14.58 -258.65 -233.01

2.67E-03 14.71 -261.84 -233.51

2.68E-03 14.84 -265.09 -233.98

2.69E-03 14.97 -268.37 -234.47

2.70E-03 15.09 -271.70 -234.95

2.71E-03 15.20 -275.06 -235.46

2.72E-03 15.28 -278.47 -235.96

2.73E-03 15.37 -281.87 -236.47

2.74E-03 15.44 -285.28 -237.00

2.75E-03 15.51 -288.71 -237.52

2.76E-03 15.57 -292.14 -238.03

2.77E-03 15.65 -295.55 -238.54

2.78E-03 15.74 -298.97 -239.03

2.79E-03 15.84 -302.37 -239.50

2.80E-03 15.94 -305.80 -239.96

2.81E-03 16.04 -309.22 -240.38

2.82E-03 16.09 -312.70 -240.78

2.83E-03 16.12 -316.31 -241.16

2.84E-03 16.16 -320.11 -241.52

2.85E-03 16.15 -324.12 -241.87

2.86E-03 16.11 -328.39 -242.22

2.87E-03 16.01 -332.84 -242.55

2.88E-03 15.88 -337.34 -242.86

2.89E-03 15.72 -341.82 -243.17

2.90E-03 15.54 -346.18 -243.49

2.91E-03 15.32 -350.41 -243.80

2.92E-03 15.07 -354.46 -244.11

2.93E-03 14.81 -358.38 -244.40

2.94E-03 14.58 -362.14 -244.71

2.95E-03 14.35 -365.80 -245.00

2.96E-03 14.13 -369.35 -245.29

2.97E-03 13.95 -372.81 -245.60

2.98E-03 13.77 -376.16 -245.92

2.99E-03 13.57 -379.39 -246.23

3.00E-03 13.40 -382.52 -246.55

3.01E-03 13.20 -385.52 -246.89

3.02E-03 13.01 -388.38 -247.24

3.03E-03 12.81 -391.07 -247.60

3.04E-03 12.63 -393.63 -247.93

Page 41: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

419

3.05E-03 12.46 -396.04 -248.25

3.06E-03 12.31 -398.34 -248.56

3.07E-03 12.18 -400.53 -248.84

3.08E-03 12.09 -402.64 -249.14

3.09E-03 11.99 -404.59 -249.40

3.10E-03 11.94 -406.33 -249.71

3.11E-03 11.88 -407.80 -250.08

3.12E-03 11.86 -408.92 -250.49

3.13E-03 11.85 -409.69 -251.00

3.14E-03 11.84 -410.17 -251.59

3.15E-03 11.85 -410.46 -252.26

3.16E-03 11.82 -410.69 -253.04

3.17E-03 11.77 -410.97 -253.91

3.18E-03 11.71 -411.42 -254.85

3.19E-03 11.62 -412.23 -255.88

3.20E-03 11.50 -414.00 -256.96

3.21E-03 11.37 -418.07 -258.09

3.22E-03 11.24 -426.86 -259.25

3.23E-03 11.13 -443.34 -260.42

3.24E-03 11.05 -469.50 -261.62

3.25E-03 10.98 -504.41 -262.78

3.26E-03 10.91 -543.34 -263.97

3.27E-03 10.83 -579.51 -265.13

3.28E-03 10.75 -607.16 -266.29

3.29E-03 10.68 -624.16 -267.41

3.30E-03 10.61 -631.94 -268.52

3.31E-03 10.56 -633.72 -269.57

3.32E-03 10.53 -632.46 -270.58

3.33E-03 10.51 -630.07 -271.45

3.34E-03 10.50 -627.38 -272.25

3.35E-03 10.53 -624.72 -272.97

3.36E-03 10.59 -622.23 -273.62

3.37E-03 10.69 -620.01 -274.23

3.38E-03 10.83 -618.09 -274.81

3.39E-03 10.99 -616.49 -275.36

3.40E-03 11.13 -615.15 -275.90

3.41E-03 11.23 -613.97 -276.49

3.42E-03 11.35 -612.82 -277.12

3.43E-03 11.47 -611.57 -277.79

3.44E-03 11.57 -610.17 -278.52

3.45E-03 11.66 -608.63 -279.32

3.46E-03 11.74 -607.23 -280.14

3.47E-03 11.80 -606.76 -281.01

3.48E-03 11.86 -608.74 -281.87

3.49E-03 11.92 -615.41 -282.75

3.50E-03 11.99 -629.26 -283.64

3.51E-03 12.10 -651.79 -284.51

3.52E-03 12.18 -681.78 -285.35

3.53E-03 12.29 -714.94 -286.19

3.54E-03 12.41 -745.27 -286.96

3.55E-03 12.53 -767.59 -287.73

3.56E-03 12.66 -779.88 -288.44

3.57E-03 12.80 -783.20 -289.09

3.58E-03 12.95 -780.33 -289.68

3.59E-03 13.10 -774.22 -290.19

3.60E-03 13.30 -766.75 -290.60

3.61E-03 13.48 -758.97 -290.88

3.62E-03 13.68 -751.25 -291.06

3.63E-03 13.86 -743.65 -291.17

3.64E-03 13.92 -736.15 -291.21

3.65E-03 13.94 -728.74 -291.20

3.66E-03 13.95 -721.34 -291.20

3.67E-03 13.94 -713.96 -291.17

3.68E-03 13.96 -706.65 -291.05

3.69E-03 13.99 -699.45 -290.89

3.70E-03 14.03 -692.39 -290.66

3.71E-03 14.07 -685.58 -290.40

3.72E-03 14.12 -679.05 -290.09

3.73E-03 14.16 -672.85 -289.77

3.74E-03 14.23 -666.97 -289.43

3.75E-03 14.28 -661.48 -289.07

3.76E-03 14.35 -656.39 -288.70

3.77E-03 14.40 -651.64 -288.29

3.78E-03 14.48 -647.25 -287.85

3.79E-03 14.55 -643.14 -287.37

3.80E-03 14.62 -639.32 -286.83

3.81E-03 14.69 -635.71 -286.23

3.82E-03 14.78 -632.27 -285.61

3.83E-03 14.85 -629.01 -284.96

3.84E-03 14.95 -625.92 -284.26

3.85E-03 15.05 -622.97 -283.54

3.86E-03 15.14 -620.18 -282.76

3.87E-03 15.28 -617.54 -281.96

3.88E-03 15.42 -615.07 -281.10

3.89E-03 15.57 -612.78 -280.24

3.90E-03 15.71 -610.70 -279.30

Page 42: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

420

3.91E-03 15.85 -608.87 -278.34

3.92E-03 15.91 -607.31 -277.36

3.93E-03 15.90 -606.04 -276.36

3.94E-03 15.84 -605.02 -275.33

3.95E-03 15.74 -604.19 -274.29

3.96E-03 15.61 -603.45 -273.22

3.97E-03 15.49 -602.69 -272.14

3.98E-03 15.38 -601.83 -271.05

3.99E-03 15.28 -600.82 -269.96

4.00E-03 15.20 -599.63 -268.83

4.01E-03 15.14 -598.27 -267.71

4.02E-03 15.06 -596.75 -266.58

4.03E-03 15.00 -595.09 -265.43

4.04E-03 14.93 -593.35 -264.26

4.05E-03 14.84 -591.50 -263.07

4.06E-03 14.74 -589.58 -261.86

4.07E-03 14.65 -587.60 -260.62

4.08E-03 14.57 -585.58 -259.35

4.09E-03 14.52 -583.48 -258.07

4.10E-03 14.48 -581.38 -256.90

4.11E-03 14.45 -579.22 -255.84

4.12E-03 14.43 -577.05 -254.78

4.13E-03 14.41 -574.87 -253.72

4.14E-03 14.41 -572.63 -252.67

4.15E-03 14.42 -570.38 -251.63

4.16E-03 14.45 -568.09 -250.59

4.17E-03 14.50 -565.77 -249.55

4.18E-03 14.53 -563.37 -248.50

4.19E-03 14.53 -560.87 -247.46

4.20E-03 14.51 -558.27 -246.46

4.21E-03 14.39 -555.56 -245.49

4.22E-03 14.24 -552.79 -244.53

4.23E-03 14.07 -550.00 -243.62

4.24E-03 13.84 -547.31 -242.74

4.25E-03 13.63 -544.71 -241.89

4.26E-03 13.42 -542.28 -241.05

4.27E-03 13.24 -540.03 -240.22

4.28E-03 13.05 -537.96 -239.40

4.29E-03 12.89 -536.01 -238.59

4.30E-03 12.73 -534.20 -237.77

4.31E-03 12.57 -532.53 -236.99

4.32E-03 12.41 -530.93 -236.20

4.33E-03 12.24 -529.45 -235.44

4.34E-03 12.10 -528.06 -234.70

4.35E-03 11.98 -526.80 -233.98

4.36E-03 11.87 -525.68 -233.31

4.37E-03 11.77 -524.69 -232.64

4.38E-03 11.68 -523.86 -231.99

4.39E-03 11.60 -523.15 -231.36

4.40E-03 11.55 -522.57 -230.72

4.41E-03 11.49 -522.09 -230.09

4.42E-03 11.47 -521.73 -229.47

4.43E-03 11.46 -521.44 -228.84

4.44E-03 11.46 -521.26 -228.23

4.45E-03 11.49 -521.25 -227.61

4.46E-03 11.50 -521.41 -226.99

4.47E-03 11.52 -521.78 -226.39

4.48E-03 11.52 -522.35 -225.79

4.49E-03 11.50 -523.10 -225.18

4.50E-03 11.44 -523.93 -224.62

4.51E-03 11.34 -524.78 -224.07

4.52E-03 11.14 -525.48 -223.53

4.53E-03 10.93 -525.80 -223.00

4.54E-03 10.70 -525.40 -222.52

4.55E-03 10.46 -523.49 -222.01

4.56E-03 10.26 -518.72 -221.55

4.57E-03 10.03 -509.28 -221.12

4.58E-03 9.83 -493.71 -220.77

4.59E-03 9.66 -471.51 -220.46

4.60E-03 9.54 -443.92 -220.24

4.61E-03 9.44 -414.03 -220.11

4.62E-03 9.39 -385.84 -219.98

4.63E-03 9.36 -362.96 -219.93

4.64E-03 9.36 -347.42 -219.89

4.65E-03 9.38 -339.18 -219.89

4.66E-03 9.41 -336.75 -219.92

4.67E-03 9.47 -338.17 -219.94

4.68E-03 9.55 -341.59 -219.99

4.69E-03 9.65 -345.78 -220.04

4.70E-03 9.79 -350.08 -220.09

4.71E-03 9.95 -354.16 -220.14

4.72E-03 10.11 -357.87 -220.23

4.73E-03 10.31 -361.19 -220.31

4.74E-03 10.51 -364.12 -220.46

4.75E-03 10.73 -366.70 -220.64

4.76E-03 10.94 -369.05 -220.85

Page 43: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

421

4.77E-03 11.17 -371.24 -221.09

4.78E-03 11.35 -373.35 -221.34

4.79E-03 11.52 -375.37 -221.60

4.80E-03 11.68 -377.16 -221.88

4.81E-03 11.82 -378.25 -222.23

4.82E-03 11.92 -377.81 -222.64

4.83E-03 12.03 -374.53 -223.06

4.84E-03 12.13 -366.84 -223.52

4.85E-03 12.27 -353.49 -223.98

4.86E-03 12.40 -334.17 -224.46

4.87E-03 12.56 -310.16 -224.92

4.88E-03 12.78 -284.33 -225.39

4.89E-03 13.03 -260.35 -225.86

4.90E-03 13.28 -241.48 -226.30

4.91E-03 13.57 -229.59 -226.69

4.92E-03 13.88 -224.84 -227.09

4.93E-03 14.20 -225.92 -227.41

4.94E-03 14.54 -230.81 -227.70

4.95E-03 14.91 -237.84 -227.89

4.96E-03 15.23 -245.76 -228.01

4.97E-03 15.46 -253.84 -228.09

4.98E-03 15.64 -261.81 -228.12

4.99E-03 15.79 -269.56 -228.10

5.00E-03 15.92 -277.09 -228.10

5.01E-03 16.07 -284.38 -228.13

5.02E-03 16.19 -291.48 -228.31

5.03E-03 16.31 -298.39 -228.77

5.04E-03 16.37 -305.06 -229.36

5.05E-03 16.39 -311.48 -229.94

5.06E-03 16.39 -317.59 -230.51

5.07E-03 16.34 -323.39 -231.08

5.08E-03 16.25 -328.83 -231.67

5.09E-03 16.15 -333.88 -232.27

5.10E-03 16.05 -338.53 -232.90

5.11E-03 15.94 -342.80 -233.54

5.12E-03 15.80 -346.66 -234.16

5.13E-03 15.68 -350.20 -234.77

5.14E-03 15.57 -353.44 -235.37

5.15E-03 15.45 -356.42 -235.95

5.16E-03 15.34 -359.18 -236.49

5.17E-03 15.24 -361.79 -236.99

5.18E-03 15.19 -364.24 -237.46

5.19E-03 15.15 -366.58 -237.86

5.20E-03 15.16 -368.78 -238.20

5.21E-03 15.19 -370.87 -238.47

5.22E-03 15.25 -372.85 -238.66

5.23E-03 15.27 -374.70 -238.75

5.24E-03 15.33 -376.40 -238.79

5.25E-03 15.33 -377.94 -238.68

5.26E-03 15.29 -379.32 -238.52

5.27E-03 15.22 -380.51 -238.29

5.28E-03 15.12 -381.54 -237.97

5.29E-03 15.05 -382.45 -237.61

5.30E-03 14.93 -383.26 -237.20

5.31E-03 14.83 -384.05 -236.73

5.32E-03 14.76 -384.90 -236.24

5.33E-03 14.69 -385.89 -235.71

5.34E-03 14.62 -387.06 -235.16

5.35E-03 14.57 -388.39 -234.68

5.36E-03 14.50 -389.91 -234.26

5.37E-03 14.45 -391.60 -233.87

5.38E-03 14.40 -393.41 -233.46

5.39E-03 14.35 -395.31 -233.08

5.40E-03 14.30 -397.31 -232.69

5.41E-03 14.26 -399.37 -232.27

5.42E-03 14.21 -401.46 -231.85

5.43E-03 14.18 -403.61 -231.43

5.44E-03 14.16 -405.74 -230.98

5.45E-03 14.16 -407.89 -230.53

5.46E-03 14.18 -410.05 -230.07

5.47E-03 14.28 -412.17 -229.60

5.48E-03 14.35 -414.28 -229.13

5.49E-03 14.48 -416.38 -228.66

5.50E-03 14.60 -418.48 -228.18

5.51E-03 14.70 -420.59 -227.68

5.52E-03 14.77 -422.71 -227.13

5.53E-03 14.82 -424.87 -226.57

5.54E-03 14.79 -427.08 -225.94

5.55E-03 14.74 -429.31 -225.32

5.56E-03 14.61 -431.59 -224.65

5.57E-03 14.46 -433.85 -224.01

5.58E-03 14.28 -436.05 -223.33

5.59E-03 14.10 -438.19 -222.69

5.60E-03 13.93 -440.26 -222.04

5.61E-03 13.76 -442.17 -221.42

5.62E-03 13.54 -443.91 -220.82

Page 44: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

422

5.63E-03 13.32 -445.49 -220.24

5.64E-03 13.07 -446.86 -219.67

5.65E-03 12.81 -448.10 -219.13

5.66E-03 12.55 -449.22 -218.60

5.67E-03 12.29 -450.28 -218.10

5.68E-03 12.04 -451.28 -217.58

5.69E-03 11.78 -452.27 -217.10

5.70E-03 11.55 -453.33 -216.63

5.71E-03 11.37 -454.42 -216.18

5.72E-03 11.22 -455.43 -215.78

5.73E-03 11.13 -456.36 -215.39

5.74E-03 11.08 -457.21 -215.05

5.75E-03 11.06 -457.99 -214.74

5.76E-03 11.06 -458.69 -214.46

5.77E-03 11.09 -459.34 -214.21

5.78E-03 11.13 -459.93 -214.00

5.79E-03 11.19 -460.47 -213.82

5.80E-03 11.25 -460.93 -213.66

5.81E-03 11.28 -461.30 -213.56

5.82E-03 11.29 -461.54 -213.51

5.83E-03 11.26 -461.69 -213.52

5.84E-03 11.20 -461.78 -213.58

5.85E-03 11.08 -461.84 -213.71

5.86E-03 10.96 -462.02 -213.90

5.87E-03 10.85 -462.44 -214.12

5.88E-03 10.72 -463.44 -214.39

5.89E-03 10.61 -465.51 -214.71

5.90E-03 10.52 -469.45 -215.06

5.91E-03 10.42 -476.27 -215.43

5.92E-03 10.34 -487.14 -215.87

5.93E-03 10.27 -502.71 -216.32

5.94E-03 10.21 -523.02 -216.83

5.95E-03 10.15 -546.87 -217.45

5.96E-03 10.11 -572.12 -218.14

5.97E-03 10.09 -596.06 -218.92

5.98E-03 10.14 -616.20 -219.77

5.99E-03 10.20 -630.96 -220.65

6.00E-03 10.33 -639.91 -221.62

6.01E-03 10.49 -643.67 -222.58

6.02E-03 10.68 -643.58 -223.58

6.03E-03 10.90 -640.99 -224.52

6.04E-03 11.14 -637.11 -225.45

6.05E-03 11.39 -632.75 -226.37

6.06E-03 11.67 -628.44 -227.33

6.07E-03 11.96 -624.38 -228.28

6.08E-03 12.25 -620.69 -229.25

6.09E-03 12.54 -617.35 -230.24

6.10E-03 12.81 -614.32 -231.25

6.11E-03 13.06 -611.51 -232.29

6.12E-03 13.30 -608.89 -233.36

6.13E-03 13.51 -606.41 -234.44

6.14E-03 13.69 -604.14 -235.54

6.15E-03 13.80 -602.40 -236.68

6.16E-03 13.87 -601.63 -237.84

6.17E-03 13.91 -602.65 -239.04

6.18E-03 13.93 -606.46 -240.26

6.19E-03 13.94 -614.04 -241.50

6.20E-03 13.95 -626.01 -242.76

6.21E-03 13.98 -642.28 -244.06

6.22E-03 14.03 -661.66 -245.39

6.23E-03 14.10 -682.13 -246.73

6.24E-03 14.19 -701.24 -248.12

6.25E-03 14.30 -716.69 -249.52

6.26E-03 14.43 -726.97 -250.92

6.27E-03 14.57 -731.76 -252.36

6.28E-03 14.74 -731.62 -253.79

6.29E-03 14.89 -727.76 -255.19

6.30E-03 14.98 -721.50 -256.55

6.31E-03 15.03 -714.01 -257.86

6.32E-03 15.06 -706.11 -259.19

6.33E-03 15.06 -698.24 -260.49

6.34E-03 15.05 -690.66 -261.81

6.35E-03 15.03 -683.46 -263.18

6.36E-03 15.03 -676.66 -264.61

6.37E-03 15.01 -670.24 -266.19

6.38E-03 14.99 -664.18 -267.90

6.39E-03 14.94 -658.53 -269.73

6.40E-03 14.92 -653.23 -271.64

6.41E-03 14.85 -648.45 -273.59

6.42E-03 14.78 -644.19 -275.55

6.43E-03 14.68 -640.37 -277.56

6.44E-03 14.58 -636.98 -279.58

6.45E-03 14.45 -634.03 -281.61

6.46E-03 14.35 -631.51 -283.66

6.47E-03 14.23 -629.39 -285.68

6.48E-03 14.14 -627.62 -287.72

Page 45: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

423

6.49E-03 14.08 -626.16 -289.75

6.50E-03 14.07 -624.97 -291.74

6.51E-03 14.05 -623.97 -293.70

6.52E-03 14.06 -623.12 -295.63

6.53E-03 14.11 -622.41 -297.52

6.54E-03 14.17 -621.79 -299.37

6.55E-03 14.24 -621.27 -301.25

6.56E-03 14.34 -620.80 -303.14

6.57E-03 14.45 -620.42 -304.95

6.58E-03 14.57 -620.13 -306.73

6.59E-03 14.70 -619.91 -308.44

6.60E-03 14.75 -619.80 -310.10

6.61E-03 14.75 -619.77 -311.72

6.62E-03 14.77 -619.85 -313.33

6.63E-03 14.77 -619.97 -314.98

6.64E-03 14.77 -620.14 -316.66

6.65E-03 14.77 -620.29 -318.42

6.66E-03 14.76 -620.37 -320.24

6.67E-03 14.74 -620.32 -322.10

6.68E-03 14.73 -620.07 -323.99

6.69E-03 14.68 -619.60 -325.83

6.70E-03 14.66 -618.88 -327.67

6.71E-03 14.62 -617.95 -329.49

6.72E-03 14.60 -616.78 -331.30

6.73E-03 14.55 -615.46 -333.09

6.74E-03 14.48 -613.95 -334.87

6.75E-03 14.36 -612.30 -336.61

6.76E-03 14.22 -610.53 -338.32

6.77E-03 14.10 -608.60 -340.00

6.78E-03 13.97 -606.53 -341.63

6.79E-03 13.88 -604.37 -343.21

6.80E-03 13.80 -602.24 -344.74

6.81E-03 13.77 -600.14 -346.21

6.82E-03 13.79 -598.04 -347.60

6.83E-03 13.83 -595.95 -348.92

6.84E-03 13.92 -593.86 -350.16

6.85E-03 14.01 -591.79 -351.32

6.86E-03 14.10 -589.71 -352.41

6.87E-03 14.11 -587.62 -353.38

6.88E-03 14.08 -585.52 -354.26

6.89E-03 14.02 -583.41 -355.04

6.90E-03 13.92 -581.28 -355.75

6.91E-03 13.78 -579.21 -356.35

6.92E-03 13.63 -577.15 -356.90

6.93E-03 13.46 -575.18 -357.37

6.94E-03 13.29 -573.33 -357.82

6.95E-03 13.13 -571.60 -358.22

6.96E-03 12.98 -570.03 -358.62

6.97E-03 12.80 -568.65 -359.01

6.98E-03 12.65 -567.41 -359.37

6.99E-03 12.49 -566.33 -359.76

7.00E-03 12.34 -565.37 -360.16

7.01E-03 12.21 -564.48 -360.56

7.02E-03 12.06 -563.64 -360.94

7.03E-03 11.90 -562.82 -361.34

7.04E-03 11.78 -562.01 -361.75

7.05E-03 11.64 -561.23 -362.16

7.06E-03 11.54 -560.45 -362.54

7.07E-03 11.47 -559.72 -362.95

7.08E-03 11.43 -559.03 -363.37

7.09E-03 11.44 -558.39 -363.79

7.10E-03 11.50 -557.82 -364.19

7.11E-03 11.61 -557.25 -364.62

7.12E-03 11.76 -556.72 -365.05

7.13E-03 11.89 -556.18 -365.46

7.14E-03 12.04 -555.65 -365.91

7.15E-03 12.17 -555.14 -366.39

7.16E-03 12.25 -554.64 -366.90

7.17E-03 12.30 -554.15 -367.42

7.18E-03 12.30 -553.67 -367.99

7.19E-03 12.29 -553.19 -368.58

7.20E-03 12.26 -552.59 -369.19

7.21E-03 12.22 -551.78 -369.81

7.22E-03 12.20 -550.56 -370.44

7.23E-03 12.17 -548.58 -371.03

7.24E-03 12.16 -545.35 -371.61

7.25E-03 12.15 -540.19 -372.20

7.26E-03 12.12 -532.35 -372.81

7.27E-03 12.05 -521.12 -373.46

7.28E-03 11.96 -506.20 -374.10

7.29E-03 11.83 -487.84 -374.77

7.30E-03 11.70 -467.03 -375.47

7.31E-03 11.57 -445.39 -376.18

7.32E-03 11.45 -424.84 -376.91

7.33E-03 11.35 -407.19 -377.66

7.34E-03 11.28 -393.74 -378.45

Page 46: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

424

7.35E-03 11.24 -384.97 -379.25

7.36E-03 11.23 -380.59 -380.12

7.37E-03 11.25 -379.84 -380.99

7.38E-03 11.29 -381.64 -381.90

7.39E-03 11.35 -384.99 -382.84

7.40E-03 11.44 -389.09 -383.81

7.41E-03 11.55 -393.30 -384.80

7.42E-03 11.65 -397.35 -385.82

7.43E-03 11.81 -401.06 -386.90

7.44E-03 11.94 -404.40 -388.02

7.45E-03 12.03 -407.39 -389.18

7.46E-03 12.12 -410.09 -390.38

7.47E-03 12.17 -412.51 -391.62

7.48E-03 12.21 -414.62 -392.88

7.49E-03 12.25 -416.32 -394.15

7.50E-03 12.28 -417.27 -395.40

7.51E-03 12.31 -417.01 -396.62

7.52E-03 12.37 -414.89 -397.87

7.53E-03 12.42 -410.18 -399.10

7.54E-03 12.49 -402.27 -400.38

7.55E-03 12.57 -390.88 -401.64

7.56E-03 12.65 -376.30 -402.95

7.57E-03 12.74 -359.50 -404.27

7.58E-03 12.85 -342.00 -405.62

7.59E-03 13.00 -325.60 -407.00

7.60E-03 13.15 -311.98 -408.38

7.61E-03 13.34 -302.29 -409.79

7.62E-03 13.52 -297.03 -411.19

7.63E-03 13.63 -295.94 -412.60

7.64E-03 13.67 -298.26 -414.00

7.65E-03 13.68 -302.98 -415.35

7.66E-03 13.67 -309.16 -416.67

7.67E-03 13.65 -315.97 -417.98

7.68E-03 13.65 -322.88 -419.28

7.69E-03 13.66 -329.53 -420.56

7.70E-03 13.71 -335.80 -421.85

7.71E-03 13.74 -341.61 -423.13

7.72E-03 13.78 -346.93 -424.42

7.73E-03 13.80 -351.78 -425.70

7.74E-03 13.81 -356.19 -427.00

7.75E-03 13.79 -360.14 -428.32

7.76E-03 13.75 -363.66 -429.63

7.77E-03 13.70 -366.77 -430.96

7.78E-03 13.66 -369.45 -432.29

7.79E-03 13.59 -371.70 -433.63

7.80E-03 13.55 -373.53 -434.96

7.81E-03 13.51 -374.98 -436.28

7.82E-03 13.51 -376.05 -437.56

7.83E-03 13.51 -376.81 -438.84

7.84E-03 13.54 -377.29 -440.04

7.85E-03 13.55 -377.56 -441.23

7.86E-03 13.51 -377.71 -442.41

7.87E-03 13.51 -377.84 -443.55

7.88E-03 13.50 -377.83 -444.68

7.89E-03 13.50 -377.69 -445.80

7.90E-03 13.49 -377.50 -446.83

7.91E-03 13.49 -377.24 -447.86

7.92E-03 13.44 -376.93 -448.83

7.93E-03 13.39 -376.58 -449.76

7.94E-03 13.35 -376.28 -450.64

7.95E-03 13.30 -376.06 -451.63

7.96E-03 13.29 -375.95 -452.75

7.97E-03 13.29 -375.85 -453.93

7.98E-03 13.30 -375.82 -455.16

7.99E-03 13.33 -375.85 -456.46

8.00E-03 13.35 -376.00 -457.86

8.01E-03 13.37 -376.27 -459.35

8.02E-03 13.38 -376.72 -460.89

8.03E-03 13.40 -377.36 -462.48

8.04E-03 13.39 -378.22 -464.13

8.05E-03 13.38 -379.30 -465.80

8.06E-03 13.37 -380.61 -467.48

8.07E-03 13.35 -382.09 -469.14

8.08E-03 13.33 -383.73 -470.78

8.09E-03 13.31 -385.49 -472.35

8.10E-03 13.34 -387.36 -473.89

8.11E-03 13.35 -389.33 -475.33

8.12E-03 13.40 -391.37 -476.71

8.13E-03 13.48 -393.46 -478.00

8.14E-03 13.57 -395.57 -479.23

8.15E-03 13.68 -397.64 -480.39

8.16E-03 13.80 -399.66 -481.47

8.17E-03 13.92 -401.62 -482.48

8.18E-03 14.05 -403.53 -483.39

8.19E-03 14.12 -405.36 -484.22

8.20E-03 14.19 -407.14 -484.95

Page 47: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

425

8.21E-03 14.24 -408.86 -485.65

8.22E-03 14.26 -410.53 -486.26

8.23E-03 14.25 -412.16 -486.84

8.24E-03 14.23 -413.74 -487.39

8.25E-03 14.19 -415.24 -487.96

8.26E-03 14.16 -416.68 -488.55

8.27E-03 14.12 -418.03 -489.18

8.28E-03 14.08 -419.25 -489.82

8.29E-03 14.03 -420.31 -490.51

8.30E-03 13.98 -421.24 -491.18

8.31E-03 13.92 -422.00 -491.86

8.32E-03 13.87 -422.60 -492.52

8.33E-03 13.81 -423.03 -493.14

8.34E-03 13.75 -423.34 -493.74

8.35E-03 13.69 -423.55 -494.33

8.36E-03 13.63 -423.70 -494.89

8.37E-03 13.55 -423.80 -495.42

8.38E-03 13.43 -423.90 -495.91

8.39E-03 13.29 -424.04 -496.35

8.40E-03 13.14 -424.18 -496.75

8.41E-03 13.00 -424.33 -497.11

8.42E-03 12.86 -424.52 -497.41

8.43E-03 12.74 -424.67 -497.64

8.44E-03 12.66 -424.79 -497.85

8.45E-03 12.59 -424.91 -498.02

8.46E-03 12.53 -425.03 -498.22

8.47E-03 12.48 -425.16 -498.38

8.48E-03 12.41 -425.34 -498.48

8.49E-03 12.30 -425.60 -498.56

8.50E-03 12.15 -425.90 -498.57

8.51E-03 11.99 -426.23 -498.52

8.52E-03 11.79 -426.55 -498.41

8.53E-03 11.63 -426.94 -498.25

8.54E-03 11.46 -427.39 -498.06

8.55E-03 11.30 -427.98 -497.84

8.56E-03 11.15 -428.84 -497.57

8.57E-03 11.01 -430.19 -497.30

8.58E-03 10.86 -432.36 -497.03

8.59E-03 10.73 -435.77 -496.78

8.60E-03 10.61 -440.98 -496.54

8.61E-03 10.49 -448.54 -496.28

8.62E-03 10.37 -458.82 -495.99

8.63E-03 10.26 -471.97 -495.65

8.64E-03 10.17 -487.60 -495.23

8.65E-03 10.07 -504.91 -494.82

8.66E-03 10.00 -522.63 -494.41

8.67E-03 9.94 -539.31 -493.99

8.68E-03 9.90 -553.59 -493.59

8.69E-03 9.88 -564.46 -493.19

8.70E-03 9.90 -571.43 -492.81

8.71E-03 9.98 -574.54 -492.46

8.72E-03 10.06 -574.36 -492.10

8.73E-03 10.21 -571.62 -491.78

8.74E-03 10.37 -567.21 -491.44

8.75E-03 10.53 -561.85 -491.12

8.76E-03 10.68 -556.14 -490.80

8.77E-03 10.82 -550.44 -490.48

8.78E-03 10.96 -544.98 -490.17

8.79E-03 11.07 -539.86 -489.85

8.80E-03 11.19 -535.13 -489.54

8.81E-03 11.32 -530.76 -489.25

8.82E-03 11.43 -526.79 -488.97

8.83E-03 11.55 -523.27 -488.68

8.84E-03 11.68 -520.37 -488.40

8.85E-03 11.79 -518.41 -488.10

8.86E-03 11.93 -517.77 -487.80

8.87E-03 12.08 -518.98 -487.52

8.88E-03 12.22 -522.55 -487.23

8.89E-03 12.39 -528.86 -486.90

8.90E-03 12.54 -537.98 -486.55

8.91E-03 12.72 -549.56 -486.14

8.92E-03 12.88 -562.81 -485.71

8.93E-03 13.07 -576.55 -485.32

8.94E-03 13.28 -589.39 -484.93

8.95E-03 13.50 -600.08 -484.58

8.96E-03 13.65 -607.65 -484.25

8.97E-03 13.64 -611.69 -483.97

8.98E-03 13.56 -612.26 -483.71

8.99E-03 13.46 -609.82 -483.47

9.00E-03 13.31 -605.16 -483.30

9.01E-03 13.20 -599.00 -483.15

9.02E-03 13.08 -592.03 -483.03

9.03E-03 12.98 -584.85 -482.94

9.04E-03 12.91 -577.89 -482.92

9.05E-03 12.85 -571.35 -482.92

9.06E-03 12.82 -565.27 -482.94

Page 48: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

426

9.07E-03 12.81 -559.71 -483.03

9.08E-03 12.79 -554.65 -483.15

9.09E-03 12.80 -550.07 -483.30

9.10E-03 12.78 -546.07 -483.47

9.11E-03 12.79 -542.62 -483.62

9.12E-03 12.78 -539.62 -483.77

9.13E-03 12.79 -537.01 -483.82

9.14E-03 12.81 -534.83 -483.84

9.15E-03 12.84 -533.01 -483.83

9.16E-03 12.88 -531.55 -483.79

9.17E-03 12.95 -530.40 -483.75

9.18E-03 13.01 -529.52 -483.70

9.19E-03 13.10 -528.88 -483.67

9.20E-03 13.18 -528.40 -483.64

9.21E-03 13.29 -528.09 -483.63

9.22E-03 13.40 -527.85 -483.62

9.23E-03 13.52 -527.72 -483.61

9.24E-03 13.62 -527.64 -483.62

9.25E-03 13.69 -527.58 -483.61

9.26E-03 13.69 -527.53 -483.60

9.27E-03 13.68 -527.45 -483.57

9.28E-03 13.65 -527.36 -483.53

9.29E-03 13.63 -527.16 -483.46

9.30E-03 13.61 -526.88 -483.40

9.31E-03 13.60 -526.48 -483.32

9.32E-03 13.65 -525.96 -483.23

9.33E-03 13.70 -525.35 -483.16

9.34E-03 13.81 -524.59 -483.11

9.35E-03 13.92 -523.70 -483.06

9.36E-03 14.01 -522.67 -483.04

9.37E-03 14.13 -521.43 -483.02

9.38E-03 14.26 -519.99 -483.03

9.39E-03 14.36 -518.36 -483.04

9.40E-03 14.48 -516.51 -483.02

9.41E-03 14.58 -514.51 -482.99

9.42E-03 14.70 -512.34 -482.92

9.43E-03 14.83 -510.02 -482.86

9.44E-03 14.98 -507.61 -482.87

9.45E-03 15.14 -505.12 -482.99

9.46E-03 15.32 -502.58 -483.12

9.47E-03 15.52 -500.00 -483.24

9.48E-03 15.70 -497.41 -483.35

9.49E-03 15.85 -494.84 -483.44

9.50E-03 15.96 -492.33 -483.53

9.51E-03 16.05 -489.85 -483.59

9.52E-03 16.07 -487.47 -483.66

9.53E-03 16.03 -485.19 -483.68

9.54E-03 15.91 -482.96 -483.71

9.55E-03 15.75 -480.83 -483.68

9.56E-03 15.55 -478.76 -483.66

9.57E-03 15.33 -476.76 -483.63

9.58E-03 15.08 -474.85 -483.65

9.59E-03 14.85 -472.99 -483.66

9.60E-03 14.59 -471.21 -483.76

9.61E-03 14.33 -469.54 -483.90

9.62E-03 14.09 -467.96 -484.11

9.63E-03 13.87 -466.52 -484.42

9.64E-03 13.67 -465.20 -484.75

9.65E-03 13.49 -464.01 -485.17

9.66E-03 13.32 -462.96 -485.60

9.67E-03 13.16 -462.03 -486.07

9.68E-03 12.97 -461.23 -486.56

9.69E-03 12.81 -460.51 -487.02

9.70E-03 12.63 -459.86 -487.46

9.71E-03 12.48 -459.23 -487.86

9.72E-03 12.36 -458.61 -488.20

9.73E-03 12.24 -458.00 -488.49

9.74E-03 12.14 -457.40 -488.72

9.75E-03 12.08 -456.80 -488.89

9.76E-03 12.01 -456.19 -488.98

9.77E-03 11.98 -455.58 -489.01

9.78E-03 11.95 -454.99 -488.98

9.79E-03 11.92 -454.40 -488.90

9.80E-03 11.88 -453.83 -488.73

9.81E-03 11.83 -453.24 -488.51

9.82E-03 11.77 -452.65 -488.23

9.83E-03 11.69 -452.04 -487.89

9.84E-03 11.57 -451.42 -487.52

9.85E-03 11.45 -450.77 -487.14

9.86E-03 11.32 -450.09 -486.76

9.87E-03 11.17 -449.37 -486.38

9.88E-03 11.04 -448.56 -486.03

9.89E-03 10.89 -447.62 -485.73

9.90E-03 10.78 -446.45 -485.48

9.91E-03 10.69 -444.94 -485.23

9.92E-03 10.63 -442.84 -485.02

Page 49: Chapter-5shodhganga.inflibnet.ac.in/bitstream/10603/2435/13/13_chapter 5.pdf · transmission line such as AC faults on the rectifier side and inverter side, the DC line fault on the

427

9.93E-03 10.58 -439.84 -484.82

9.94E-03 10.53 -435.63 -484.63

9.95E-03 10.51 -429.73 -484.44

9.96E-03 10.47 -421.78 -484.25

9.97E-03 10.45 -411.58 -484.08

9.98E-03 10.43 -399.12 -483.95

9.99E-03 10.43 -384.79 -483.87

1.00E-02 10.43 -369.25 -483.80

1.00E-02 10.44 -353.55 -483.76

1.00E-02 10.49 -338.77 -483.70

1.00E-02 10.53 -325.97 -483.64

1.00E-02 10.62 -316.00 -483.55

1.01E-02 10.74 -309.29 -483.42

1.01E-02 10.88 -305.82 -483.28

1.01E-02 11.01 -305.27 -483.10

1.01E-02 11.08 -307.06 -482.85

1.01E-02 11.14 -310.46 -482.58

1.01E-02 11.20 -314.85 -482.22

1.01E-02 11.23 -319.61 -481.76

1.01E-02 11.23 -324.34 -481.15

1.01E-02 11.21 -328.90 -480.44

1.01E-02 11.21 -333.26 -479.63

1.02E-02 11.20 -337.27 -478.78

1.02E-02 11.21 -340.85 -477.90

1.02E-02 11.28 -343.94 -477.02

1.02E-02 11.39 -346.41 -476.11

1.02E-02 11.52 -348.13 -475.22

1.02E-02 11.67 -348.81 -474.33

1.02E-02 11.83 -348.07 -473.49

1.02E-02 12.02 -345.56 -472.66

1.02E-02 12.21 -340.92 -471.82

1.02E-02 12.44 -333.92 -471.01

1.03E-02 12.65 -324.61 -470.18

ANNEXURE - III

DC Line Fault Data (Reverse Voltage Travelling wave

The digitalized reverse voltage travelling wave obtained during the DC line

fault at various distances with various fault resistances.