 TRANSACTIONS ON ENVIRONMENT AND ELECTRICAL ENGINEERING ISSN 2450-5730 Vol 1, No 3 (2016) © Sobhy S. Dessouky, Ahmed E. Kalas, R.A.Abd El-Aal & Abdel Moneim M. Hassan  Abstract— Dissolved gas-in-oil analysis (DGA) is a sensitive and dependable technique for the detection of incipient fault condition within oil-immersed transformers. When the mineral oil is subjected to high thermal or/and electrical stresses, it decomposes and, as a result, gases are generated. This paper presents modification of Duval triangle DGA diagnostic graph to numerical method that is easy to use for diagnosing and a Matlab program. To study such as the following evaluation. This evaluation is carried out on DGA data obtained from three different groups of transformers each group are two identical transformers. A Matlab program was developed to automate the evaluation of Duval Triangle graph to numerical modification, Also the fault gases can be generated due to oil decomposing effected by transformer over excitation which increasing the transformer exciting current lead to rising the temperature inside transformer core beside the other causes. Index Terms— Dissolved Gas Analysis ) DGA), mineral oil, decomposition, degradation, and transformer condition. I. INTRODUCTION issolved gas analysis (DGA) is a popular diagnostic technique that is used to detect incipient faults in oil-filled power transformers [1]. By using DGA data, transformer criticality can be identified with proposing the proper maintenance action [2]. Several methods were proposed to diagnose incipient faults based on DGA. These methods are key gas method, Rogers's ratio methods, Duval triangle method, Doernenburg Ratio method, Basic Gas Ratio, and artificial intelligence based methods. The key gas method identifies the key gas for each type of fault and uses the percent of this gas to diagnose the fault as suggested by IEEE standard C57.104 [3]. The percent amount of gas is obtained in terms of the total combustible gases (TCG). The main disadvantage of this method is that the interpretation Sobhy S. Dessouky, Electrical Engineering Dept. Faculty of Engineering, Port-Said University. Port Said, Egypt (e-mail: sobhyserry@yahoo.com). Ahmed E.Kalas , Electrical Engineering Dept. Faculty of Engineering, Port- Said University. Port Said, Egypt (e-mail: kalas_14@yahoo.com). by the individual gases is difficult in practice since each incipient fault produces traces of other gases in addition to the key gas of such fault. The ratio methods for fault diagnosis use certain ratios of dissolved gas concentrations according to combinations of codes [4, 5]. An incipient fault is detected when a code combination matches with the code pattern of the fault. The most widely used ratio methods are the Doernenburg Ratio Method, Rogers Ratio Method, and IEC standard. Six gas ratios have been used by different methods. The major drawback of ratio methods is the “no decision” problem associated with some cases that lie out of the specified codes. In recent years, many researchers have studied the application of artificial intelligence based techniques for transformer fault diagnosis. These techniques include expert systems, fuzzy logic, artificial neural networks or mixed techniques [6, 7]. However, these methods are too complicated to be implemented practically on a wide range. This paper investigates the new aspects, accuracy and consistency of these methods in interpreting the transformer condition. II. DGA TO DIAGNOSE TRANSFORMER FAULTS When an incipient fault occurs, either thermal or/and electrical, a number of gases are generated and dissolved into the oil. These gases are mainly H2, CH4, C2H2, C2H4 and C2H6. In addition CO and CO2 will exist if cellulose degradation is involved, based on the type and amount of generated gases [1, 8-9]. A. Duval Triangle (DGA) Diagnostic Graph Method M. Duval. Proposed another diagnostic method to overcome this limitation, well known as Duval triangle. This method is based on a triangle graphical representation to visualize the different cases for oil-insulated high-voltage equipment (mainly transformers), Fig. (I) provides a graphical method of identifying a fault. It uses a three-axis coordinate R.A.Abd El-Aal, Electrical Engineering Dept. Faculty of Engineering, Port- Said University. Port Said, Egypt (e-mail: ramadanhv@yahoo.com). Abdel Moneim M. Hassan, Abo-Sultan Steam Power Plant, Ismailia. Egypt (e-mail: abdelmoname333@yahoo.com). Modification of Duval Triangle for Diagnostic Transformer Fault through a Procedure of Dissolved Gases Analysis Sobhy S. Dessouky A, Ahmed E.Kalas B, R.A.Abd El-Aal C, Abdel Moneim M. Hassan D A, B, C Electrical Engineering Dept. Faculty of Engineering, Port-Said University. Port Said, Egypt D Abo-Sultan Steam Power Plant, Ismailia. Egypt D mailto:sobhyserry@yahoo.com mailto:1@yahoo.com mailto:ramadanhv@yahoo.com mailto:abdelmoname333@yahoo.com system, where concentrations of CH4, C2H4 and C2H2 are used as coordinates, and the likely fault falls within one of the fault regions of the triangle. The various regions within the Duval Triangle are given in Table (I) [10-13]. For example if C2H2 = 0.07, CH4 = 0.2 and C2H4 = 0.73. The fault diagnostic is T3 (Thermal fault t > 700 °C), and if C2H2 = 0.36, CH4 = 0.32 and C2H4 = 0.32, the fault diagnostic is D2 (High-energy electrical discharge), as shown in fig (I). Fig. 1. Duval Triangle TABLE I. FAULT CODE A. Duval Triangle Graph to Numerical Method In this paper, we developed A Matlab program to automate the evaluation of Duval Triangle graph to numerical modification. Table (II) shows the Modification of Duval triangle DGA diagnostic graph to numerical method. For example if C2H2 = 0.1, CH4 = 0.3 and C2H4 = 0.6. We can use table (II) easy to determine the fault Diagnostic (Thermal fault t > 700 °C), and if C2H2 = 0.36, CH4 = 0.32 and C2H4 = 0.32, the fault diagnostic is (High-energy electrical discharge), the same results as in the previous example. TABLE II. MODIFICATION OF DUVAL TRIANGLE (DGA) DIAGNOSTIC GRAPH TO NUMERICAL METHOD III. CASE STUDY DISSOLVED GAS ANALYSIS The case study carried out from three different groups of transformers each group are identical in Abu-Sultan steam power plant. Fig. (2) Shows the schematic diagram configuration for transformers under testing. The first group of transformers are three single phase 192 MVA, 15/220 KV, Off L.T.C. The Second group of transformers are three phase 16 MVA, 220/6.3KV, ON.L.T.C, and the third group of transformers are three phase 16 MVA, 15/6.3/6.3 KV, ON.L.T.C. The rating and (DGA) testing results for the above- mentioned Power Transformer are shown in tables (III, IV). Fig. 2. Schematic Diagram for Transformers under Evaluation PD Partial discharge T1 Low-range thermal fault (below 300 °C) T2 Medium-range thermal fault (300-700 °C) T3 High-range thermal fault (above 700 °C) D1 Low-energy electrical discharge D2 High-energy electrical discharge DT Indeterminate - thermal fault or electrical discharge. C2H2% CH4% C2H4% Fault 0.00 - 0.02 0.98 - 1.00 0.00 - 0.02 Partial discharge (electrical fault) 0.00 - 0.04 0.46 - 0.80 0.20 - 0.50 Thermal fault 300 < t < 700 °C 0.76 - 0.98 0.02 - 0.20 thermal fault t < 300 °C 0.00 - 0.15 0.00 - 0.50 0.50 - 1.00 Thermal fault t > 700 °C 0.04 - 0.13 0.47 - 0.96 0.00 - 0.40 Mixtures of thermal and electrical faults 0.13 - 0.29 0.21 - 0.56 0.40 - 0.50 0.15 - 0.29 0.00 - 0.35 0.50 - 0.85 0.13 - 0.29 0.31 - 0.64 0.23 - 0.40 Discharge of high energy (electrical fault) 0.29 - 0.77 0.00 - 0.48 0.23 - 0.71 TABLE III. RATING OF POWER TRANSFORMER UNDER TESTING IV. DIAGNOSTIC METHOD USED BY MODIFICATION SYSTEM. The diagnostic methods for DGA are used by a numerical method, The Matlab program diagnoses output for the under testing transformers. Table (V) shows application of the faults diagnosed by various methods, which indicate that all transformers are thermal faults. V. RESULTS AND DISCUSSION Comparison of various methods as shown in the table (V), a thermal fault in oil within all transformers is diagnosed for all five methods. Where winding temperature do not exceed 95°C and oil temperature do not exceed 85°C for all transformers during normal operation. Moreover, the possible collapse of cooling system during operation in this case is too small and there is no increase in the viscosity of the oil, as it is clear in the results of chemical analysis of samples oil and no wax materials. However, there is an important factor is the increased over excitation due to reduction of generator speed when some of the generating units from the network goes out during normal operation or the frequency disturbances that occur when large loads are connected to the electrical network system. Over-excitation or/and under frequency protection may be or may be not operate depends on the response of power system control. The under frequency relay operate at 47.5 Hz with time lag 0.5 sec and over excitation relay operate at V/Hz = 1.1pu for 45 sec time lag or V/Hz =1.18 pu for 2 sec time lag at generators. TABLE IV. (DGA) TESTING RESULTS T ra n sf o rm e r N a m e O p e ra ti n g D a te R a te d P o w e r M V A R a te d V o lt a g e K V N u m b e r O f P h a se s O il T y p e Main transformer Unit no. 1 ( TR1) 19/3/1983 192 15/220 3 s in g le P h a se M in e ra l O il N a p h th e n ic Main transformer Unit no. 2 ( TR2) 15/8/1983 Start Up transformer A ( TR3) 19/3/1983 16 220/6.3 3 - P h a se s Start Up transformer B ( TR4) 15/10/1984 Aux. transformer unit no. 1 ( TR5) 19/3/1983 16 15/6.3/6.3 3 - P h a se s Aux. transformer Unit no. 2 ( TR6) 15/8/1983 T ra n sf o rm e r & S a m p le s d a te M a in t ra n sf o rm e r u n it n o . 1 p h ( B ) fr o m 0 8 /0 5 // 2 0 1 3 t o 2 7 /1 1 /2 0 1 3 M a in t ra n sf o rm e r u n it n o . 2 p h ( B ) fr o m 0 8 /0 5 /2 0 1 3 t o 0 5 /1 1 /2 0 1 4 S ta rt U p t ra n sf o rm e r A fr o m 0 8 /0 5 /2 0 1 3 to 0 6 /0 5 /2 0 1 4 S ta rt U p t ra n sf o rm e r B fr o m 0 7 /0 4 /2 0 1 3 to 2 7 /1 1 /2 0 1 3 A u x . tr a n sf o rm e r u n it n o . 1 fr o m 0 8 /0 5 /2 0 1 3 to 2 9 /0 3 /2 0 1 5 A u x . tr a n sf o rm e r u n it n o . 2 F ro m 0 7 /0 4 /2 0 1 3 to 0 2 /0 4 /2 0 1 4 T o ta l c o m b u st ib le g a se s ( T .C .G ) w it h o u t C 3 H 6 & C 3 H 8 274 477 164 592 98 249 219 426 246 429 193 400 H y d ro g e n C o m b u st ib le g a se s H2 9 7 3 16 1 19 5 6 14 28 7 35 H y d ro c a rb o n s CH4 25 48 15 37 2 4 19 61 48 49 9 12 C2H2 0 0 0 0 0 0 0 0 0 0 0 0 C2H4 5 2 1 12 2 8 5 6 3 10 2 3 C2H6 12 29 10 50 1 3 57 142 28 45 2 3 C3H6 & C3H8 14 26 5 - 2 3 30 81 14 - 2 3 C a rb o n O x id e s CO 223 392 135 477 91 215 132 212 154 297 173 348 N o n -C o m b u st ib le g a se s CO2 2877 6052 775 4854 482 1324 848 1772 1632 3787 439 2581 N o n -f a u lt o r a tm o sp h e ri c g a se s O2 2042 2664 1633 3758 3432 5766 991 1911 1420 13615 1118 3300 N2 31551 38801 45633 90526 39302 56161 74493 88856 82762 137375 \ 30606 119152 If frequency decreases and the voltage is constant, the transformer core is heated. Fig. (3) Shown voltage, current and frequency of generating unit transformer number one at Abu- sultan steam power plant from 17/5/2015 to18/5/2015, which indicate that frequency, reduced to 49.2 Hz at voltage 14.85. KV. The rated generator voltage and frequency is 15 KV and 50Hz respectively. So generator is over excitation =1.0061 Pu. At unit, start up the voltage may be built to 15KV at generator frequency 48 Hz then 1.042 Pu over-excitations. Disturbance in frequency is repeated from 18/5/2015 to 20/5/2015 in power system as shown in Fig. (4) and affect all network transformers in this moment and there is an instantaneous decrease in power system frequency to 45.36 Hz without operate under frequency or/and over-excitation relays because disturbance duration less than 0.5 sec as shown in Fig. (5). Transformers require an internal magnetic field to operate. The core of a transformer is designed to provide the magnetic flux Necessary for rated load. An over-excitation condition occurs when this equipment is operated such that flux levels exceed design values. The voltage output of a transformer is a function of the rate of change of the flux and the number of turns in the output winding. e = N dφ/dt during normal power system operation. The voltage is sinusoidal and the rate of change is determined by the frequency, which is in turn determined by generator speed [14]. The equation shows core flux to be directly proportional to voltage and inversely proportional to frequency φ α V/f. The actual magnitude of flux in transformer core is can be quantified in terms of per unit volts / Hertz. A generator or transformer operating at no load with rated voltage and frequency would have one per unit excitation. The same equipment operating at rated voltage and 95% frequency would have 1.0/0.95 = 1.05 Pu flux or 1.05 Pu excitation. Over-excitation will result from high voltage at rated frequency and from rated voltage with low frequency. Because over excitation is a function of voltage and frequency, it can occur without notice. Transformers and generators can be subject to repeated over excitation by inappropriate operating. practices or operator error without a disruption to operations. The resulting thermal faults lead to oil decomposing to generate fault The practices or operator error without a disruption to operations. The resulting thermal faults lead to oil decomposing to generate fault gases H2, CH4 at temperature 120°C, C2H6 at temperature 150°C, C2H4 at temperature 300°C, and C2H2 at temperature 700°C. In addition, degradation of insulating material is cumulative. A transformer or generator that survives a serious over excitation event or many small events may fail because of a moderate event during normal service as all transformers under study. In addition, if voltage increased, at rated frequency, the exciting current increases, as shown in Fig. (6). So Tr1 through Tr6 are effected by over excitation due to network normal operation but Tr1, Tr2,Tr5, Tr6 are effected by Over excitation damage usually occurs during periods of off-frequency operation such as start up or shut down for unit transformer as shown in Fig.(2) and table (VI). T ra n sf o rm e r n o . Duval's triangle numerical modified P(96/4) Basic gas ratio P(77/8) Doernenburg ratio P(71/3) Rogers Ratio P(62/5) Kay gas P(42/58) TR1 thermal fault t < 300°C thermal fault t < 300°C thermal decomposition slight overheating t <150 °C pyrolysis in cellulose TR2 Thermal fault 300 < t < 700 °C thermal fault t < 300°C thermal decomposition slight overheating 150-200 °C pyrolysis in cellulose TR3 Thermal fault t > 700 °C thermal fault of low temperature t <150°C Cannot be applicable general conductor overheating pyrolysis in cellulose TR4 thermal fault t < 300 °C thermal fault t < 300°C thermal decomposition slight overheating 150-200 °C pyrolysis in cellulose TR5 Thermal fault t > 700 °C thermal fault t < 300°C thermal decomposition Cannot be applicable pyrolysis in cellulose TR6 Thermal fault 300 < t < 700 °C Cannot be applicable Cannot be applicable general conductor overheating pyrolysis in cellulose TABLE V. APPLICATION OF THE FAULT DIAGNOSED BY VARIOUS METHODS Fig 3. Voltage Current and Frequency for Unit No.1 Generator System frequency Generator current Generator voltage Generator current Fig 4. Repeating Disturbances in Power System Frequency Fig 5. Instantaneous Decrease in Power System Frequency System frequency Generator voltage System frequency Voltage/Hertz increased Frequency reduction VI. CONCLUSION. Modification of Duval triangle DGA diagnostic graph to numerical method is easy to use for diagnoses and a Matlab program. Transformer thermal faults during dynamic load cycle due to temperature increase from over load, cooling system failure or trouble, fault currents and /or over excitation condition. Over excitation, damage usually occurs during periods of off-frequency operation such as start up or shut down for unit transformer. In addition, the fault gases can be generated due to oil decomposing effected by transformer over excitation. Transformers and generators can be subject to repeated over excitation by inappropriate operating practices or operator error without a disruption to operations. It's can be concluded also, the resulting thermal faults lead to oil decomposing to generate fault gases H2, CH4 at temperature 120°C, C2H6 at temperature 150°C, C2H4 at temperature 300°C, and C2H2 at temperature 700°C. The gas type and gas quantity depends on the intensity and duration of Over-excitation. Transformer diagnostic thereby results depends on the events inside evaluation interval or before evaluation time. Tr1 Tr2 Tr3 Tr4 Tr5 Tr6 N o rm a l a g in g d u e t o d y n a m ic l o a d c y c le O v e r T e m p e ra tu re Fault currents Overload &Unbalanced load Cooling system failure Increased Oil viscosity O v e r e x c it a ti o n Unit startup maintain the set point voltage at low frequency Χ Χ Χ Χ Unit shutdown field breaker fails to open when the generator trips Χ Χ Χ Χ Over Voltage At rated frequency The charging current for a high- voltage transmission line. Χ Χ Χ Χ Χ Χ Power system disturbance Loss of some units During operation or suddenly heavy load Χ Χ Χ Χ Χ Χ A c c e le ra ti n g a g in g n o rm a l o p e ra ti n g T e m p e ra tu re 8 0 - 1 2 0 ° C . Moisture Oxidation of the insulation and oils forms acids, Acid attacks cellulose and accelerates insulation degradation, with moisture (PD) Electrical stress can occur and more insulation degradation Χ Oxygen Χ Acidity Χ Fig 6. Voltage Increased, at Rated Frequency Exciting Current Increase TABLE VI. CAUSES OF THERMAL FAULTS, NORMAL AND ACCELERATED AGING REFERENCES [1] T. K. Saha, “Review of modern diagnostic techniques for assessing insulation condition in aged transformers”, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 10, pp. 903-917, 2003. [2] A. Abu-Siada and S. Islam, “A new approach to identify power transformer criticality and asset management decision based on dissolved gas-in-oil analysis”, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 19, pp. 1007-1012, 2012. [3] “IEEE guide for the interpretation of gases generated in oil- immersed transformers”, IEEE Standard C57.104-2008, 2009. [4] M. J. Heathcote, the J & P Transformer Book, Twelfth Edition, Reed Educational and Professional Publishing Ltd, 1998. [5] S. M. Islam, T. Wu and G. Ledwich, “A novel fuzzy logic approach to transformer fault diagnosis”, IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 7, pp. 177-186, 2000. [6] M. A. Izzularab, G. E. M. Aly and D. A. Mansour, “On-line diagnosis of incipient faults and cellulose degradation based on artificial intelligence methods”, IEEE International Conference on Solid Dielectrics (ICSD), pp. 767-770, 2004. [7] Md Umar Farooque, Shufali Awani,Shakeb akan "Artificial neural network (ANN) based implementation of Duval pentagon"2015 International Conference on condition assesment techniques in electrical systems (CATCON) pp 46-50, 2015. [8] Diaa-ELdin A.Monsour "-Development of a new graphical technique for dissolved gas analysis in power transformers based on the five combustible gases"IEEE Transactions on Dielectrics and Electrical Insulation, Vol. 22, pp. 2507 - 2512, 2015. [9] Alamuru Vani and Pessapaty Sree Rama Chandra Murthy" Hybrid diagnosing techniques for analyzing dissolved gases in power transformers " ISSN 2006 - 9790, pp 33-34, 2015. [10] M. Duval, “A review of faults detectable by gas-in-oil analysis in transformers”, IEEE Electrical Insulation Magazine, Vol. 18, pp. 8-17, 2002. [11] Nitin K. Dhote1 and Jagdish B. Helonde" Fuzzy Algorithm for Power Transformer Diagnostics" Academic Editor: M. Onder Efe, pp 1-2, 2013. [12] Stefan Tenbohlen , Sebastian Coenen , Mohammad Djamali " Andreas Müller Diagnostic Measurements for Power Transformers" Academic Editor: Issouf Fofana, Energies, pp 2, 2016. [13] Sherif S.M.Ghoneim , Ibrahim B.M.Taha , Nagy I.Elkalashy "Integrated ANN-Based Proactive Fault Diagnostic Scheme for Power Transformers Using Dissolved Gas Analysis" IEEE Transactions on Dielectrics and Electrical Insulation, Vol.23,No 3 , pp1838-1845, 2016 [14] L.G Hewitson “Protective Relaying for Power Generation Systems” Book Taylor & Francis Group, Publishing Ltd 2006. Sobhy Serry Dessouky was born in Dakahlie of Egypt in 1946. He received the B.Sc. degree (1970) and M.Sc. (1977) in electrical engineering from Suez Canal University in Helwan University respectively. Dr. Dessouky received the Ph. D. degree from TU, Dresden, German in 1982. From Oct. 1970 to 1975, he was Joined Faculty of Engineering, Suez Canal University, as Demonstrator. He worked as Demonstrator from 1975- 1977 in Faculty of Engineering, Helwan University. In 1977, he worked as lecturer assistant in Electrical Engineering Department, Faculty of Engineering, Suez Canal University. From 1983 to 1987, he worked as Assistant Professor (Lecturer), in Electrical Engineering Department, faculty of Engineering, Suez Canal University, Port Said Campus. In 1987, he promoted as Associate Professor in the same Department. In 1991, Dr. Dessouky became a full Professor of Electrical power and H.V Engineering. He was a member in IEEE from 1996. In parallel, he worked as a department chair, Vice Dean for Community Affairs and Environment, and Director of Engineering Research Center for Developing and Technological Planning in Suez Canal University. Ahmed E.Kalas received the B.Sc. degree in electrical engineering from the Suez Canal University with honor first rank in EGYPT 1982, M.Sc. degree (Power electronic and electrical Drives), from the Suez canal university, EGYPT 1987, ph. D. degree (Power electronic and electrical Drives) from Gdansk university, POLAND 1994 From 1994 up to 2010 he worked as a lecture in electrical engineering at Suez canal university, from 2010 up to now he worked as a lecture in electrical engineering at port said university research contributions, as well as his on-going efforts/investigations in the area of AC drives and power electronics, can be classified into the following topics: Control of electric machines; Vector control, nonlinear control, adaptive control, model predictive control, double feed induction motors ,DTC -Power electronic converters, two-level and multilevel, matrix converter, ZS-Artificial Intelligence in machines and power electronics control, Fuzzy logic, neural networks -Renewable energy conversion for PV and wind systems, maximum power point tracking -Fault detection Diagnosis in electrical machines and drives. R.A.Abd El-Aal was born in Egypt, 1971. He received the B.Sc. degree (1996) and M.Sc. (2002) in electrical engineering from Suez Canal University. He received the Ph. D. degree in H.V Engineering from Port Said University in 2008. He works as lecture in electrical engineering Dept., Port Said University, Egypt. His research interests are H.V Engineering and power system protection. Abdel Moneim M. Hassan. was born in Ismailia of Egypt in 1963. He received the B.Sc. degree (1986) in electrical engineering from Hel- wan University. He works as General Manager in Abu Sultan steam power plant 4*150 MW, from 1988 to 1998, He worked in operation department as operation engineer in Abu Sultan power plant, from 1998 to 2014, He worked as electrical maintenance, measuring and protection engineer in the same plant.