<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">ENG</journal-id><journal-title-group><journal-title>Engineering</journal-title></journal-title-group><issn pub-type="epub">1947-3931</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/eng.2014.612078</article-id><article-id pub-id-type="publisher-id">ENG-51924</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  A New Approach with Three Dimension Figure and ANSI/IEEE C57.104 Standard Rule Diagnoses Transformer’s Insulating Oil
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>ing-Jong</surname><given-names>Lin</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Department of Electronic Engineering, Southern Taiwan University of Science and Technology, Tainan City, Chinese Taipei</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>l430107@yahoo.com.tw</email></corresp></author-notes><pub-date pub-type="epub"><day>10</day><month>11</month><year>2014</year></pub-date><volume>06</volume><issue>12</issue><fpage>841</fpage><lpage>848</lpage><history><date date-type="received"><day>5</day>	<month>September</month>	<year>2014</year></date><date date-type="rev-recd"><day>25</day>	<month>October</month>	<year>2014</year>	</date><date date-type="accepted"><day>12</day>	<month>November</month>	<year>2014</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The dissolved gas analysis (DGA) is an effective method for detecting incipient faults in immersed oil power transformers. In this paper, we investigate the DGA methods and employ the ANSI/IEEE C57.104 standards (guidelines for the interpretation of gases generated in oil-immersed transformers) and IEC Basic Gas Ratio method to design a heuristic power transformer fault diagnosis tool in practice. The proposed tool is implemented by a MATLAB program and it can provide users a transformer diagnosis result. The user keys in the data of H2, CH4, C2H2, C2H4, and C2H6 gases dissolved from the immersed oil transformer’s insulating oil measured by ASTM D3612. The analyzed results will be represented in texts and figures. The real measured data of the transformer oil were taken from Taiwan Power Company substations to verify the validation and accuracy of the developed diagnosis tool.
 
</p></abstract><kwd-group><kwd>Power Transformer Diagnosis</kwd><kwd> Dissolved Gas Analysis</kwd><kwd> Total Combustible Gases</kwd><kwd> Distribution Substation (D/S)</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Immersed-oil power transformers in the power system play an important role as voltage conversion. The transformer’s insulating oil can cool the transformer down and strengthen the ability of power supply. A transformer fault will cause electricity interruption and may result in a serious problem. Therefore, detection of transformer’s fault is very important task. The insulating oil gas analysis (DGA) is a good way to diagnose the transformer fault and has been widely used by many power companies in the world. This is because that the insulating oil analysis can predict incipient faults via the analysis of the gases generated from the insulating oil. If the transformer’s fault can be diagnosed accurately, and then the transformer will be well maintained, the electricity interruption caused by transformer’s fault can be avoided.</p><p>The insulating oil measurement is via chromatography instrument (ASTM D3612). The measured data of nine kinds of gas, namely Ethane (C<sub>2</sub>H<sub>6</sub>), Hydrogen (H<sub>2</sub>), Methane (CH<sub>4</sub>), Carbon Dioxide (CO<sub>2</sub>), Ethylene (C<sub>2</sub>H<sub>4</sub>), Acetylene (C<sub>2</sub>H<sub>2</sub>), Carbon Monoxide (CO), Nitrogen (N<sub>2</sub>), and Oxygen (O<sub>2</sub>) can be obtained [<xref ref-type="bibr" rid="scirp.51924-ref1">1</xref>] . Any measured data of nine kinds of gas being larger the standard criterion of ASNI/IEEE C57.104 indicated that we have to check what happens in the transformer. In this paper, we investigate the DGA methods and employ the ANSI/IEEE C57.104 Standard Rule and IEC Basic Gas Ratio method to develop a heuristic diagnosis tool which is carried out by a MATLAB program. The user only keys in the measured data of H<sub>2</sub>, CH<sub>4</sub>, C<sub>2</sub>H<sub>6</sub>, C<sub>2</sub>H<sub>4</sub>, and C<sub>2</sub>H<sub>2</sub> and the developed diagnosis tool can provide a diagnosis result by texts and figures.</p></sec><sec id="s2"><title>2. Transformer Fault Diagnosis</title><p>Total Combustible Gases are made up of H<sub>2</sub>, CH<sub>2</sub>, C<sub>2</sub>H<sub>6</sub>, C<sub>2</sub>H<sub>4</sub>, C<sub>2</sub>H<sub>2</sub> and CO, and its definition as follows, is shown in formula (1) (unit ppm):</p><disp-formula id="scirp.51924-formula1838"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/7-8102265x5.png"  xlink:type="simple"/></disp-formula><p>The immersed oil transformer’s insulating oil along with the transformer operating time and the measured of the cyclical time has made vital relations with its life-span, however its increase value on IEEE C57.104 standard, as shown in formula (2):</p><disp-formula id="scirp.51924-formula1839"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/7-8102265x6.png"  xlink:type="simple"/></disp-formula><p>where, R is increase of the TCG value (a milliliter/day), S<sub>T</sub> is testing value, S<sub>O</sub> is previous value, V is measured from the transformer’s volume as well as T is measured from the duration of days. So the quantity of the TCG, rely on the R’s value which is classified “Normal”, “Attention”, “Abnormal”, and “Danger” etc., four kinds of symptom shown in <xref ref-type="table" rid="table1"><xref ref-type="table" rid="table">Table </xref>1</xref>.</p><p>Be based on Dissolved Gas Analysis (DGA), the value of insulating oil has been diagnosed either normality or abnormality in the body of transformer. In recent years, a lot of techniques have been developed to predict diagnosis for the transformer latent failure points by the gas content, such as the Key Gas method, Duval triangle method as well as Dornenberg method, Roger method, Liner SVM diagnosis etc., this paper took the Diagnosis of IEC Basic Gas Ratio method and ANSI/IEEE Standard Rule to design a Transformer Fault Diagnosis Tool by the MATLAB program which described next sections below.</p><sec id="s2_1"><title>2.1. The IEC Basic Gas Ratio Method</title><p>The IEC Basic Gas Ratio method uses 3 sets gas ratios C<sub>2</sub>H<sub>2</sub>/C<sub>2</sub>H<sub>4</sub>, CH<sub>4</sub>/H<sub>2</sub>, and C<sub>2</sub>H<sub>4</sub>/C<sub>2</sub>H<sub>6</sub> as base to engage in diagnosis. Each ratio is distinguished 6 fault’s conditions such as Partial discharges, Discharge of low energy, Discharge of high energy, Thermal fault t &lt; 300˚C, Thermal fault 300˚C &lt; t &lt; 700˚C, and Thermal fault t &gt; 700˚C. The result according to IEC method is shown in <xref ref-type="table" rid="table2"><xref ref-type="table" rid="table">Table </xref>2</xref>. The relationship between the fault type and the gas ratio is shown in <xref ref-type="table" rid="table2"><xref ref-type="table" rid="table">Table </xref>2</xref>. Faults often start as incipient, low energy faults which may develop into more serious higher energy or higher temperature faults. When a fault is detected, it is important to determine the trend in the rate of increase of the gas. An increase in gas values of more than 10% per month above the normal values will indicate that the fault is active. It is also important to determine the trend in the occurrence of different types of faults, and to detect early, any deterioration towards a more serious fault [<xref ref-type="bibr" rid="scirp.51924-ref2">2</xref>] .</p></sec><sec id="s2_2"><title>2.2. Diagnosis of Specification for ANSI/IEEE C57.104 Standard</title><p>According to the Diagnosis of Specification for ANSI/IEEE C57.104 Standard, the anomalous properties values</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1"><xref ref-type="table" rid="table">Table </xref>1</xref></label><caption><title> Periodic table of examination for TCG [<xref ref-type="bibr" rid="scirp.51924-ref1">1</xref>] (unit: ppm)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Case</th><th align="center" valign="middle" >TCG</th><th align="center" valign="middle" >Increase</th><th align="center" valign="middle" >Again Measures Duration</th><th align="center" valign="middle" >Suggestion</th></tr></thead><tr><td align="center" valign="middle"  rowspan="3"  >Case 1</td><td align="center" valign="middle"  rowspan="3"  >≤720</td><td align="center" valign="middle" >&gt;30</td><td align="center" valign="middle" >Month</td><td align="center" valign="middle" >Normal</td></tr><tr><td align="center" valign="middle" >10 - 30</td><td align="center" valign="middle" >Season</td><td align="center" valign="middle" >Normal</td></tr><tr><td align="center" valign="middle" >&lt;10</td><td align="center" valign="middle" >Year</td><td align="center" valign="middle" >Normal</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >Case 2</td><td align="center" valign="middle"  rowspan="3"  >721 - 1920</td><td align="center" valign="middle" >&gt;30</td><td align="center" valign="middle" >Month</td><td align="center" valign="middle" >Attention</td></tr><tr><td align="center" valign="middle" >10 - 30</td><td align="center" valign="middle" >Month</td><td align="center" valign="middle" >Attention</td></tr><tr><td align="center" valign="middle" >&lt;10</td><td align="center" valign="middle" >Season</td><td align="center" valign="middle" >Attention</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >Case 3</td><td align="center" valign="middle"  rowspan="3"  >1921 - 4630</td><td align="center" valign="middle" >&gt;30</td><td align="center" valign="middle" >Week</td><td align="center" valign="middle" >Abnormal</td></tr><tr><td align="center" valign="middle" >10 - 30</td><td align="center" valign="middle" >Week</td><td align="center" valign="middle" >Abnormal</td></tr><tr><td align="center" valign="middle" >&lt;10</td><td align="center" valign="middle" >Month</td><td align="center" valign="middle" >Abnormal</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >Case 4</td><td align="center" valign="middle"  rowspan="3"  >&gt;4630</td><td align="center" valign="middle" >&gt;30</td><td align="center" valign="middle" >Day</td><td align="center" valign="middle" >Danger</td></tr><tr><td align="center" valign="middle" >10 - 30</td><td align="center" valign="middle" >Day</td><td align="center" valign="middle" >Danger</td></tr><tr><td align="center" valign="middle" >&lt;10</td><td align="center" valign="middle" >Week</td><td align="center" valign="middle" >Danger</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2"><xref ref-type="table" rid="table">Table </xref>2</xref></label><caption><title> The diagnosis of IEC basic code [<xref ref-type="bibr" rid="scirp.51924-ref2">2</xref>] </title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Case</th><th align="center" valign="middle" >Characteristic Fault</th><th align="center" valign="middle" >C<sub>2</sub>H<sub>2</sub>/C<sub>2</sub>H<sub>4</sub></th><th align="center" valign="middle" >CH<sub>4</sub>/H<sub>2</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>4</sub>/C<sub>2</sub>H<sub>6</sub></th></tr></thead><tr><td align="center" valign="middle" >PD</td><td align="center" valign="middle" >Partial Discharges</td><td align="center" valign="middle" >NS1</td><td align="center" valign="middle" >&lt;0.1</td><td align="center" valign="middle" >&lt;0.2</td></tr><tr><td align="center" valign="middle" >D1</td><td align="center" valign="middle" >Discharge of Low Energy</td><td align="center" valign="middle" >&gt;1</td><td align="center" valign="middle" >0.1 - 0.5</td><td align="center" valign="middle" >&gt;1</td></tr><tr><td align="center" valign="middle" >D2</td><td align="center" valign="middle" >Discharge of High Energy</td><td align="center" valign="middle" >0.6 - 2.5</td><td align="center" valign="middle" >0.1 - 1</td><td align="center" valign="middle" >&gt;2</td></tr><tr><td align="center" valign="middle" >T1</td><td align="center" valign="middle" >Thermal Fault t &lt; 300˚C</td><td align="center" valign="middle" >NS1</td><td align="center" valign="middle" >&gt;1 but NS1</td><td align="center" valign="middle" >&lt;1</td></tr><tr><td align="center" valign="middle" >T2</td><td align="center" valign="middle" >Thermal Fault 300˚C &lt; t &lt; 700˚C</td><td align="center" valign="middle" >&lt;0.1</td><td align="center" valign="middle" >&gt;1</td><td align="center" valign="middle" >1 - 4</td></tr><tr><td align="center" valign="middle" >T3</td><td align="center" valign="middle" >Thermal Fault t &gt; 700˚C</td><td align="center" valign="middle" >&lt;0.22</td><td align="center" valign="middle" >&gt;1</td><td align="center" valign="middle" >&lt;4</td></tr></tbody></table></table-wrap><p>Note: NS1 stand for No Significance.</p><p>from decomposition of the insulating oil were shown in <xref ref-type="table" rid="table3"><xref ref-type="table" rid="table">Table </xref>3</xref>.</p></sec></sec><sec id="s3"><title>3. The New Diagnosis Approach for in Practice</title>This Paper Follows the Design Flow Chart (Shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>)<p>The diagnosis tool of insulating oil can be diagnosed by well usage of different method and specification after incorporating some kinds of human experience. The flow chart of the proposed diagnostic method is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. With well-designed man-machine interface, the developed program can be implemented by computer to avoid man error and achieve more reliable diagnosis result.</p><p>For more simple, precise, and effective to diagnose, I read lots of diagnosis’s approach of transformer’s insulating oil which were such good paper as “Support Vector Machine-Based Fault Diagnosis of Power Transformer” [<xref ref-type="bibr" rid="scirp.51924-ref4">4</xref>] and “Duval Triangle: A Noble Technique for DGA in Power Transformer” [<xref ref-type="bibr" rid="scirp.51924-ref5">5</xref>] , and etc. Eventually, from those methods and approaches were appraised carefully, this paper takes ANSI/IEEE C57.104 Standard Rule and IEC Basic Ratio methods to design the program. The goal is it cans double check to complete accurate diagnosis.</p><p>The accuracy of interpretable plots by concept of digital rule establishes during implementation after input the concentration of H<sub>2</sub>, CH<sub>4</sub>, C<sub>2</sub>H<sub>6</sub>, C<sub>2</sub>H<sub>4</sub>, and C<sub>2</sub>H<sub>2</sub>. This paper designs a set of highly fast way to diagnose of transformer incipient fault by IEC Basic Gas Ratio and the Standard of ANSI/IEEE C57.104 diagnosis method. From the report’s from the obtained texts of the ANSI/IEEE C57.104 standard diagnosis and the figure of IEC Basic Gas Ratio to judge what was in body of transformer.</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3"><xref ref-type="table" rid="table">Table </xref>3</xref></label><caption><title> Gas content in oil diagnostic [<xref ref-type="bibr" rid="scirp.51924-ref3">3</xref>] (unit: ppm)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Name</th><th align="center" valign="middle" >Content Value</th><th align="center" valign="middle" >Property</th><th align="center" valign="middle" >Name</th><th align="center" valign="middle" >Content Value</th><th align="center" valign="middle" >Property</th></tr></thead><tr><td align="center" valign="middle"  rowspan="4"  >H<sub>2</sub></td><td align="center" valign="middle" >&gt;1801</td><td align="center" valign="middle" >Danger</td><td align="center" valign="middle"  rowspan="4"  >CH<sub>4</sub></td><td align="center" valign="middle" >&gt;1001</td><td align="center" valign="middle" >Danger</td></tr><tr><td align="center" valign="middle" >&gt;701</td><td align="center" valign="middle" >Abnormal</td><td align="center" valign="middle" >&gt;401</td><td align="center" valign="middle" >Abnormal</td></tr><tr><td align="center" valign="middle" >&gt;101</td><td align="center" valign="middle" >Attention</td><td align="center" valign="middle" >&gt;121</td><td align="center" valign="middle" >Attention</td></tr><tr><td align="center" valign="middle" >&lt;100</td><td align="center" valign="middle" >Normal</td><td align="center" valign="middle" >&lt;120</td><td align="center" valign="middle" >Normal</td></tr><tr><td align="center" valign="middle"  rowspan="4"  >C<sub>2</sub>H<sub>6</sub></td><td align="center" valign="middle" >&gt;151</td><td align="center" valign="middle" >Danger</td><td align="center" valign="middle"  rowspan="4"  >C<sub>2</sub>H<sub>4</sub></td><td align="center" valign="middle" >&gt;201</td><td align="center" valign="middle" >Danger</td></tr><tr><td align="center" valign="middle" >&gt;101</td><td align="center" valign="middle" >Abnormal</td><td align="center" valign="middle" >&gt;101</td><td align="center" valign="middle" >Abnormal</td></tr><tr><td align="center" valign="middle" >&gt;66</td><td align="center" valign="middle" >Attention</td><td align="center" valign="middle" >&gt;51</td><td align="center" valign="middle" >Attention</td></tr><tr><td align="center" valign="middle" >&lt;65</td><td align="center" valign="middle" >Normal</td><td align="center" valign="middle" >&lt;50</td><td align="center" valign="middle" >Normal</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >C<sub>2</sub>H<sub>2</sub></td><td align="center" valign="middle" >&gt;35</td><td align="center" valign="middle" >Danger</td><td align="center" valign="middle"  rowspan="2"  >C<sub>2</sub>H<sub>2</sub></td><td align="center" valign="middle" >&gt;2</td><td align="center" valign="middle" >Attention</td></tr><tr><td align="center" valign="middle" >&gt;10</td><td align="center" valign="middle" >Abnormal</td><td align="center" valign="middle" >&lt; 1</td><td align="center" valign="middle" >Abnormal</td></tr></tbody></table></table-wrap><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> The flow chart of the MATLAB program</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/7-8102265x7.png"/></fig></sec><sec id="s4"><title>4. Diagnostic Practices and Verification</title><sec id="s4_1"><title>4.1. Ba Dou D/S #4DTr Case [<xref ref-type="bibr" rid="scirp.51924-ref6">6</xref>]</title><p>On March 22<sup>nd</sup>, 2012 Taiwan Power Company Ba Dou D/S # 4DTr’s insulating oil, inspected these gas component content Hydrogen, Methane, Ethane, Ethylene, and Acetylene data are described (in <xref ref-type="table" rid="table4"><xref ref-type="table" rid="table">Table </xref>4</xref>), this data (before repair and after repair) were used the program of MATLAB, shown (in <xref ref-type="table" rid="table5"><xref ref-type="table" rid="table">Table </xref>5</xref> &amp; in <xref ref-type="table" rid="table6"><xref ref-type="table" rid="table">Table </xref>6</xref>) to obtain the result of the judgment by text of ANSI/IEEE standards and plots of the IEC Basic Gas Ratio diagnosis method.</p></sec><sec id="s4_2"><title>4.2. Digital Logic</title><p>Keeping in mind when computers work on digital gate that high or low voltage is considered as 1 or 0. So that using these high or low data is represented for 1 or 0. Electronic circuits must be designed to manipulate these</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4"><xref ref-type="table" rid="table">Table </xref>4</xref></label><caption><title> Ba Dou D/S #4DTr gas data (unit: ppm)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Date</th><th align="center" valign="middle" >H<sub>2</sub></th><th align="center" valign="middle" >CH<sub>4</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>6</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>4</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>2</sub></th></tr></thead><tr><td align="center" valign="middle" >2012.03.22 Before Repair</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >149</td><td align="center" valign="middle" >41</td><td align="center" valign="middle" >401</td><td align="center" valign="middle" >5.3</td></tr><tr><td align="center" valign="middle" >2012.05.21 After Repair</td><td align="center" valign="middle" >7</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >44</td><td align="center" valign="middle" >18</td><td align="center" valign="middle" >0</td></tr></tbody></table></table-wrap><table-wrap id="table5" ><label><xref ref-type="table" rid="table5"><xref ref-type="table" rid="table">Table </xref>5</xref></label><caption><title> Transformer fault diagnosis tool (Ba Dou D/S #4DTr before repair)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Diagnosis for ANSI/IEEE C57.104 Standard</th></tr></thead><tr><td align="center" valign="middle" ><sup>**</sup>H<sub>2</sub> == Normal</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>CH<sub>4</sub> == Attention</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>2</sub> == Normal</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>4</sub> == Danger</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>6</sub> == Normal</td></tr><tr><td align="center" valign="middle" >Diagnosis for IEC Basic Gas Raito</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>2</sub>/C<sub>2</sub>H<sub>4</sub> == Normal</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>CH<sub>4</sub>/H<sub>2</sub> == Discharge of High Energy</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>4</sub>/C<sub>2</sub>H<sub>6</sub> == Temperature Fault &gt; 700˚C</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/7-8102265x8.png" xlink:type="simple"/></inline-formula></td></tr></tbody></table></table-wrap><table-wrap id="table6" ><label><xref ref-type="table" rid="table6"><xref ref-type="table" rid="table">Table </xref>6</xref></label><caption><title> Explain for digital symbol with regulating diagnosis</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Name/Ratio</th><th align="center" valign="middle" >Result of Diagnosis</th><th align="center" valign="middle" >Digital Symbol</th><th align="center" valign="middle" >Result of Diagnosis</th><th align="center" valign="middle" >Digital Symbol</th></tr></thead><tr><td align="center" valign="middle" >H<sub>2</sub></td><td align="center" valign="middle" >Danger</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Abnormal, Attention, Normal</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle" >CH<sub>4</sub></td><td align="center" valign="middle" >Danger</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Abnormal, Attention, Normal</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle" >C<sub>2</sub>H<sub>6</sub></td><td align="center" valign="middle" >Danger</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Abnormal, Attention, Normal</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle" >C<sub>2</sub>H<sub>4</sub></td><td align="center" valign="middle" >Danger</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Abnormal, Attention, Normal</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle" >C<sub>2</sub>H<sub>2</sub></td><td align="center" valign="middle" >Danger</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Abnormal, Attention, Normal</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle"  rowspan="6"  >C<sub>2</sub>H<sub>2</sub>/C<sub>2</sub>H<sub>4</sub> CH<sub>4</sub>/H<sub>2</sub> C<sub>2</sub>H<sub>4</sub>/C<sub>2</sub>H<sub>6</sub></td><td align="center" valign="middle"  colspan="3"  >Partial Discharges</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle"  colspan="3"  >Discharge of Low Energy</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle"  colspan="3"  >Discharge of High Energy</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle"  colspan="3"  >Thermal Fault t &lt; 300˚C</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle"  colspan="3"  >Thermal Fault 300˚C &lt; t &lt; 700˚C</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle"  colspan="3"  >Thermal Fault t &gt; 700˚C</td><td align="center" valign="middle" >1</td></tr></tbody></table></table-wrap><p>positive and negative pulses into meaningful logic (in <xref ref-type="table" rid="table7"><xref ref-type="table" rid="table">Table </xref>7</xref>). Logic gates are the building blocks of digital circuits. Combinations of logic gates form circuits designed with specific tasks in mind [<xref ref-type="bibr" rid="scirp.51924-ref7">7</xref>] . This paper of blocks of digital circuits is shown (in <xref ref-type="fig" rid="fig2">Figure 2</xref>).</p><p>To ensure power supply stable quality and safety, the gases of the insulating oil was shown by Truth <xref ref-type="table" rid="table">Table </xref>of logic (in <xref ref-type="table" rid="table">Table </xref>8), on 22<sup>nd</sup> March, 2012 Ba Dou D/S #4Dtr to fulfill the transformer body maintenance which was found out a losing screw which is shown (in <xref ref-type="fig" rid="fig3">Figure 3</xref>) [<xref ref-type="bibr" rid="scirp.51924-ref6">6</xref>] ; Especially, on May 21<sup>st</sup>, 2012 Taiwan Power Company Ba Dou D/S #4DTr’s insulating oil, inspected these gas component content Hydrogen, Methane, Ethane, Ethylene, and Acetylene data are described (in <xref ref-type="table" rid="table4"><xref ref-type="table" rid="table">Table </xref>4</xref>), this data (after repair) was used the program of MATLAB, shown (in <xref ref-type="table" rid="table">Table </xref>9) to obtain the result of the judgment. To justify the program provides a quick diagnosis, the results can be used as a tool of transformer maintenance.</p></sec><sec id="s4_3"><title>4.3. Take Some Case to Confirm</title><p>Taking some case (in <xref ref-type="table" rid="table1"><xref ref-type="table" rid="table">Table </xref>1</xref>0, <xref ref-type="table" rid="table1"><xref ref-type="table" rid="table">Table </xref>1</xref>1) from abnormality of transformer’s insulating oil those were confirmed through Taiwan Power Company, then these cases were taken to verify the program in practical.</p></sec></sec><sec id="s5"><title>5. Conclusion</title><p>As we know that, how to detect the transformer fault quickly and accurately is not an easy job. In this paper, we have investigated the DGA methods and developed a quick method to diagnose the malfunction of power transformers by using ANSI/IEEE C57.104 diagnosis specification and IEC Basic Gas Ratio method. We have developed the transformer fault diagnosis tool by a MATLAB program. The real measured data of the transformer oil taken from Ba Dou D/S # 4DTr transformer of Taiwan Power Company are used to verify the validation and accuracy of the developed diagnosis tool. This tool will be useful for engineers and technicians who are in charge of transformer’s maintenance.</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Program for digital flow chart</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/7-8102265x9.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> A losing screw</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/7-8102265x10.png"/></fig><table-wrap id="table7" ><label><xref ref-type="table" rid="table7"><xref ref-type="table" rid="table">Table </xref>7</xref></label><caption><title> OR &amp; AND gate truth table [<xref ref-type="bibr" rid="scirp.51924-ref7">7</xref>] </title></caption><table><tbody><thead><tr><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/7-8102265x11.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/7-8102265x12.png" xlink:type="simple"/></inline-formula></th></tr></thead></tbody></table></table-wrap><table-wrap id="table8" ><label><xref ref-type="table" rid="table">Table </xref>8</label><caption><title> Truth table for Ba Dou D/S # 4DTr’s insulating oil</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Date</th><th align="center" valign="middle" >H<sub>2</sub></th><th align="center" valign="middle" >CH<sub>4</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>6</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>4</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>2</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>2</sub>/C<sub>2</sub>H<sub>4</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>4</sub>/C<sub>2</sub>H<sub>6</sub></th><th align="center" valign="middle" >CH<sub>4</sub>/H<sub>2</sub></th><th align="center" valign="middle" >OUT</th></tr></thead><tr><td align="center" valign="middle" >2012.3.22</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle" >2012.5.21</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0</td></tr></tbody></table></table-wrap><table-wrap id="table9" ><label><xref ref-type="table" rid="table">Table </xref>9</label><caption><title> Transformer fault diagnosis tool (Ba Dou D/S #4DTr after repair)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Diagnosis for ANSI/IEEE C57.104 Standard</th></tr></thead><tr><td align="center" valign="middle" ><sup>**</sup>H<sub>2</sub> == Normal</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>CH<sub>4</sub> == Normal</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>2</sub> == Normal</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>4</sub> == Normal</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>6</sub> == Normal</td></tr><tr><td align="center" valign="middle" >Diagnosis for IEC Basic Gas Raito</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>2</sub>/C<sub>2</sub>H<sub>4</sub> == Normal</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>CH<sub>4</sub>/H<sub>2</sub> == Discharge of Low Energy</td></tr><tr><td align="center" valign="middle" ><sup>**</sup>C<sub>2</sub>H<sub>4</sub>/C<sub>2</sub>H<sub>6</sub> == Partial Discharge</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/7-8102265x13.png" xlink:type="simple"/></inline-formula></td></tr></tbody></table></table-wrap><table-wrap id="table10" ><label><xref ref-type="table" rid="table1"><xref ref-type="table" rid="table">Table </xref>1</xref>0</label><caption><title> Some normality and abnormality of transformer gas data in practical (unit: ppm)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Date</th><th align="center" valign="middle" >H<sub>2</sub></th><th align="center" valign="middle" >CH<sub>4</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>6</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>4</sub></th><th align="center" valign="middle" >C<sub>2</sub>H<sub>2</sub></th><th align="center" valign="middle" >CO</th><th align="center" valign="middle" >TCG</th></tr></thead><tr><td align="center" valign="middle" >C1 (2007.05.10)</td><td align="center" valign="middle" >44</td><td align="center" valign="middle" >41</td><td align="center" valign="middle" >88</td><td align="center" valign="middle" >7</td><td align="center" valign="middle" >10.1</td><td align="center" valign="middle" >57</td><td align="center" valign="middle" >247</td></tr><tr><td align="center" valign="middle" >C2 (2010.09.05)</td><td align="center" valign="middle" >140</td><td align="center" valign="middle" >54</td><td align="center" valign="middle" >79</td><td align="center" valign="middle" >21</td><td align="center" valign="middle" >53.8</td><td align="center" valign="middle" >35</td><td align="center" valign="middle" >388.1</td></tr><tr><td align="center" valign="middle" >C3 (2011.08.03)</td><td align="center" valign="middle" >181</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >84</td><td align="center" valign="middle" >58</td><td align="center" valign="middle" >51.4</td><td align="center" valign="middle" >171</td><td align="center" valign="middle" >619</td></tr><tr><td align="center" valign="middle" >C4 (2011.12.26)</td><td align="center" valign="middle" >935</td><td align="center" valign="middle" >271</td><td align="center" valign="middle" >116</td><td align="center" valign="middle" >330</td><td align="center" valign="middle" >420</td><td align="center" valign="middle" >128</td><td align="center" valign="middle" >2200</td></tr><tr><td align="center" valign="middle" >C5 (2012.05.10)</td><td align="center" valign="middle" >239</td><td align="center" valign="middle" >346</td><td align="center" valign="middle" >78</td><td align="center" valign="middle" >787</td><td align="center" valign="middle" >24</td><td align="center" valign="middle" >312</td><td align="center" valign="middle" >1786</td></tr><tr><td align="center" valign="middle" >C6 (2012.07.08)</td><td align="center" valign="middle" >48</td><td align="center" valign="middle" >694</td><td align="center" valign="middle" >356</td><td align="center" valign="middle" >1077</td><td align="center" valign="middle" >0.4</td><td align="center" valign="middle" >36</td><td align="center" valign="middle" >2211</td></tr><tr><td align="center" valign="middle" >C7 (2013.09.23)</td><td align="center" valign="middle" >133</td><td align="center" valign="middle" >211</td><td align="center" valign="middle" >66</td><td align="center" valign="middle" >384</td><td align="center" valign="middle" >1.9</td><td align="center" valign="middle" >411</td><td align="center" valign="middle" >1207</td></tr></tbody></table></table-wrap><table-wrap id="table11" ><label><xref ref-type="table" rid="table1"><xref ref-type="table" rid="table">Table </xref>1</xref>1</label><caption><title> Implementation of the results of the program with stand for digital rule in practical</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Case/Name</th><th align="center" valign="middle" ></th><th align="center" valign="middle"  colspan="7"  >Diagnosis for ANSI/IEEE C57.104</th><th align="center" valign="middle"  rowspan="2"  >Diagnosis for Program out</th><th align="center" valign="middle"  rowspan="2"  >Repair State</th></tr></thead><tr><td align="center" valign="middle" >H<sub>2</sub></td><td align="center" valign="middle" >CH<sub>4</sub></td><td align="center" valign="middle" >C<sub>2</sub>H<sub>6</sub></td><td align="center" valign="middle" >C<sub>2</sub>H<sub>4</sub></td><td align="center" valign="middle" >C<sub>2</sub>H<sub>2</sub></td><td align="center" valign="middle" >C<sub>2</sub>H<sub>2</sub>/C<sub>2</sub>H<sub>4</sub></td><td align="center" valign="middle" >C<sub>2</sub>H<sub>4</sub>/C<sub>2</sub>H<sub>6</sub></td><td align="center" valign="middle" >CH<sub>4</sub>/H<sub>2</sub></td></tr><tr><td align="center" valign="middle" >C1</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >N</td></tr><tr><td align="center" valign="middle" >C2</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Ac</td></tr><tr><td align="center" valign="middle" >C3</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Ac</td></tr><tr><td align="center" valign="middle" >C4</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Pd</td></tr><tr><td align="center" valign="middle" >C5</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Ac</td></tr><tr><td align="center" valign="middle" >C6</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Pd</td></tr><tr><td align="center" valign="middle" >C7</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Pd</td></tr></tbody></table></table-wrap><p>Symbols: N (Normal), Ac (Arc), Pd (Partial Discharge). 1 (Program out for 1), 0 (Program out for 0), C1 (Case1), C2 (Case2), C3 (Case3), C4 (Case4), C5 (Case5), C6 (Case6), C7 (Case7).</p></sec><sec id="s6"><title>Acknowledgements</title><p>The author would like to thank that the relevant information of this paper was provided by the department of the supply, Tai Pei branch supply, and Research Institute 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