<?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">JPEE</journal-id><journal-title-group><journal-title>Journal of Power and Energy Engineering</journal-title></journal-title-group><issn pub-type="epub">2327-588X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jpee.2016.45001</article-id><article-id pub-id-type="publisher-id">JPEE-66319</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>
 
 
  Analysis Magnetization Current of Harmonic Phenomena and Power Factor as Indicators of Core Saturation at Transformer 3-Phase
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>rwin</surname><given-names>Dermawan</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Deni</surname><given-names>Almanda</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Laelatus</surname><given-names>Zahro</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Anwar</surname><given-names>Ilmar Ramadhan</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ery</surname><given-names>Diniardi</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Electrical Engineering Department, Faculty of Engineering, Universitas Muhammadiyah Jakarta, Jakarta 
Indonesia</addr-line></aff><aff id="aff2"><addr-line>Mechanical Engineering Department, Faculty of Engineering, Universitas Muhammadiyah Jakarta, Jakarta, 
Indonesia</addr-line></aff><pub-date pub-type="epub"><day>10</day><month>05</month><year>2016</year></pub-date><volume>04</volume><issue>05</issue><fpage>1</fpage><lpage>6</lpage><history><date date-type="received"><day>4</day>	<month>March</month>	<year>2016</year></date><date date-type="rev-recd"><day>accepted</day>	<month>7</month>	<year>May</year>	</date><date date-type="accepted"><day>10</day>	<month>May</month>	<year>2016</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>
 
 
  Saturation is a condition in which the magnets are fully transformer cores and generate maximum magnetic flux. Some parts affect the resilience and create distortions that can harm the heart. Core saturation can also increase the temperature and magnetization current transformer. In this study, we proposed a measurement method to obtain the necessary parameters to calculate a reliable indicator of the state of the transformer core saturation. The main effects of nonlinear flow in the transformer core are saturation, eddy current and hysteresis. In saturation, the core transformer is as a source of generating harmonic currents, some of which will flow directly to the primary and secondary windings. The method is based on the magnetization current, the phenomenon of harmonics and power factor is evaluated by measuring the no-load current at three-phase transformer, with a high magnetic flux density imposed. Measurements were taken at each phase of the transformer core. The transformer is connected to a variable voltage variable frequency (VVVF) as a voltage source and the investigation carried out at various flux densities. The results showed that the magnetization current and harmonic phenomena increased significantly when the high magnetic flux density and vice versa injected with power factor declined sharply. This phenomenon can be used as an indication of saturation of the 3-phase transformer core.
 
</p></abstract><kwd-group><kwd>Core Saturation</kwd><kwd> Magnetization Current</kwd><kwd> Harmonic</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Construction of three-phase transformer is basically a single-phase transformer that is arranged into three pieces in the iron core. A transformer consists of a coil and an iron core. Usually there are two coils, namely the primary coil and the secondary coil. The two coils is not related physically but connected by a magnetic field [<xref ref-type="bibr" rid="scirp.66319-ref1">1</xref>] .</p><p>By the standards of IEC (International Electro technical Commissioning) 1000.4 - 11, they’re classified into harmonic interference waveform distortion [<xref ref-type="bibr" rid="scirp.66319-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.66319-ref3">3</xref>] . In this phenomenon changes the waveform of the wave base. Harmonics are sinusoidal voltage or current wave having a frequency which is the product of the integer (integer) of the fundamental frequency, wherein the supply system is designed to operate (typically 50 or 60 Hz). Basically harmonics are symptom formation of waves at different frequencies. It is called frequency harmonics arising from the original waveform, while integer multiplier fundamental frequency is called harmonics sequence number. Here is an example of a comparison of the basic waveform and harmonic wave [<xref ref-type="bibr" rid="scirp.66319-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.66319-ref5">5</xref>] .</p><p>The level of disability in harmonics often expressed with Total Harmonic Distortion (THD), Total Harmonic Distortion, used as a gauge to see how much influence the overall presence of harmonics has to the sine signal. Because it is so large and varied effects of harmonics on equipment and systems are technical and economical, it is necessary to standardize the harmonics. Standards governing the harmonic distortion are the IEEE 512-1992 standard, this standard set of harmonics allowable limits (<xref ref-type="table" rid="table1">Table 1</xref>) [<xref ref-type="bibr" rid="scirp.66319-ref6">6</xref>] .</p><p>Saturation is a condition in which the magnets are fully transformer cores and generate maximum magnetic flux. This usually happens if the transformer is not big enough for the application. While some parts affect the resilience and create distortions that can harm the heart. Core saturation can also increase the temperature and magnetization current transformer. In saturation, as the transformer core and current harmonics generation sources, some of it will flow directly to the primary and secondary windings. Results of previous studies show that the harmonic content increases significantly when the current no-load and high magnetic flux density injects. Today many transformers are widely disturbed by harmonics. Harmonic components have caused losses in the transformer which allows fails to operate.</p></sec><sec id="s2"><title>2. Research Method</title><sec id="s2_1"><title>2.1. Material Research</title><p>Specifications transformer is used as the test material is as follows [<xref ref-type="bibr" rid="scirp.66319-ref8">8</xref>] :</p><p>The manufacturer: PT. Trafoindo Prima Perkasa</p><p>Type: Indoor</p><p>Power (s): 630 kVA</p><p>Number of phase: 3 phase</p><p>Impedance (Z): 4%</p><p>Cooling System: ONAN</p><p>Primary voltage: 20 KV</p><p>Secondary Voltage: 400/230 V</p><p>Core material: laminate M4 grain-oriented electrical steel (H1-Carlite)</p><p>Thickness of laminate: 0.27 mm thickness</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> IEEE Standard 512-1992, harmonic current limitation [<xref ref-type="bibr" rid="scirp.66319-ref7">7</xref>] </title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="7"  >Maximum Harmonic Current Distortion in Percent of I<sub>L</sub></th></tr></thead><tr><td align="center" valign="middle"  colspan="7"  >Individual Harmonic Order (Odd Harmonics)</td></tr><tr><td align="center" valign="middle" >I<sub>SC/L</sub></td><td align="center" valign="middle" >&lt;11</td><td align="center" valign="middle" >11 ≤ h &lt; 17</td><td align="center" valign="middle" >17 ≤ h &lt; 23</td><td align="center" valign="middle" >23 ≤ h &lt; 35</td><td align="center" valign="middle" >35 ≤ h</td><td align="center" valign="middle" >TDD</td></tr><tr><td align="center" valign="middle" >&lt;20<sup>*</sup></td><td align="center" valign="middle" >4.0</td><td align="center" valign="middle" >2.0</td><td align="center" valign="middle" >1.5</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >5.0</td></tr><tr><td align="center" valign="middle" >20 &lt; 50</td><td align="center" valign="middle" >7.0</td><td align="center" valign="middle" >3.5</td><td align="center" valign="middle" >2.5</td><td align="center" valign="middle" >1.0</td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >8.0</td></tr><tr><td align="center" valign="middle" >50 &lt; 100</td><td align="center" valign="middle" >10.0</td><td align="center" valign="middle" >4.5</td><td align="center" valign="middle" >4.0</td><td align="center" valign="middle" >1.5</td><td align="center" valign="middle" >0.7</td><td align="center" valign="middle" >12.0</td></tr><tr><td align="center" valign="middle" >100 &lt; 1000</td><td align="center" valign="middle" >12.0</td><td align="center" valign="middle" >5.5</td><td align="center" valign="middle" >5.0</td><td align="center" valign="middle" >2.0</td><td align="center" valign="middle" >1.0</td><td align="center" valign="middle" >15.0</td></tr><tr><td align="center" valign="middle" >&gt;1000</td><td align="center" valign="middle" >15.0</td><td align="center" valign="middle" >7.0</td><td align="center" valign="middle" >6.0</td><td align="center" valign="middle" >2.5</td><td align="center" valign="middle" >1.4</td><td align="center" valign="middle" >20.0</td></tr></tbody></table></table-wrap></sec><sec id="s2_2"><title>2.2. Measuring Instrument</title><p>Measurements were made with the simplest tool in measuring current and voltage that is ampere meter and voltmeter. Ampere meter used to measure the current value of the magnetization in the transformer. While the volt meter is used to measure the value of the voltage on the transformer. VVVF used as a voltage regulator and also the frequency at this time of measurement. Where the input voltage is connected with the core and frequencies connected to the secondary side of the transformer in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p></sec><sec id="s2_3"><title>2.3. Circuit Testing</title><p>Testing is done by measuring the transformer core, where the ampere meter is connected to the input voltage and variable frequency (VVVF). On the secondary side of the transformer and on the primary side is connected to the VVVF and volt meter. Transformer testing lowered the ratio of 1.1. Measurements were performed with different flux density, which is done by varying the input voltage while the frequency is kept constant (fixed). Measurements were taken at each phase that is phase R, S, T, so that the measurement results has equal value or balanced on each phase. The series of measurements carried out as <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p></sec><sec id="s2_4"><title>2.4. Collect of Data</title><p>From the measurement results obtained:<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/1-1770216x7.png" xlink:type="simple"/></inline-formula>, then I<sub>rms</sub> is as follows:</p><disp-formula id="scirp.66319-formula49"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-1770216x8.png"  xlink:type="simple"/></disp-formula><p>From the calculation I<sub>rms</sub> = 2.69136 A, the total harmonic current distortion (THDi) is as follows:</p><fig-group id="fig1"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Sanwa PC 720 M digital multimeter and variable voltage variable frequency (VVVF) [<xref ref-type="bibr" rid="scirp.66319-ref1">1</xref>] .</title></caption><fig id ="fig1_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1770216x9.png"/></fig><fig id ="fig1_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1770216x10.png"/></fig></fig-group><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> The measuring circuit transformer core [<xref ref-type="bibr" rid="scirp.66319-ref1">1</xref>] </title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1770216x11.png"/></fig><disp-formula id="scirp.66319-formula50"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-1770216x12.png"  xlink:type="simple"/></disp-formula><disp-formula id="scirp.66319-formula51"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/1-1770216x13.png"  xlink:type="simple"/></disp-formula></sec></sec><sec id="s3"><title>3. Results and Discussion</title><p>The phenomenon of harmonics in this case distorted total harmonic currents (THD) and the magnetization current (Io) of the transformer in the magnetic flux density that varies at a frequency of 50 Hz shown in <xref ref-type="table" rid="table2">Table 2</xref>.</p><p>The relationship between the magnetization current and total harmonic current distortion (THDi) of the magnetic flux density at a frequency of 50 Hz is shown in <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref>. While the curve of the power factor of the magnetic flux density is shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>.</p><p>The evaluation results magnetization current (Io), total harmonic current distortion (THDi) and power factor are shown in <xref ref-type="table" rid="table2">Table 2</xref>. Stimulation magnetization current Io on the flux density B = 1.7 T (i.e., Io = 0.95 A) almost doubled compared to 1.5 T (Io = 0.698). Meanwhile, THDi increases when the transformer that is charged with a magnetic flux density is higher. On the condition of flux density of 1.5 T and 1.7 T waveform is not sinusoidal currents that occur, as happened in <xref ref-type="fig" rid="fig5">Figure 5</xref>. While the flux density of 0.1 - 1.4 T shape of the current waveform is sinusoidal or perfect. This indicates that the flow has been distorted. Characterized by the core saturation current waveform is not sinusoidal or irregular.</p><p>Increased THD is very significant when a flux density of 1.5 T density change-1.9 T. This indicates that the core of transformer laminations experiencing burnout. <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref> also shows that the pattern of Io and THDi the density flux density is almost the same with the B-H curve of a magnetic material. Besides saturation characterized by the value of the magnetic flux THD at 1.5 T with a value 25.93%. Where the value of THD</p><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Curves total harmonic current distortion (%) of the magnetic flux density</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1770216x14.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Power factor curve of the magnetic flux density</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1770216x15.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Magnetization current curve of the magnetic flux density</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/1-1770216x16.png"/></fig><p>allowable standards for electrical appliances maximum is 25% (IEEE 519-1992). As mentioned in Equation (7), the power factor is inversely proportional to THDi. This phenomenon is shown in <xref ref-type="table" rid="table2">Table 2</xref> or <xref ref-type="fig" rid="fig4">Figure 4</xref> It is clear that the power factor decreases significantly when a changing magnetic flux density of 1.5 T to 1.9 T. This can also be an indication that core transformer laminations have been experiencing burnout.</p></sec><sec id="s4"><title>4. Conclusions</title><p>1) Analysis of the test data show a high magnetic flux density contributing more to the magnetization current, the phenomenon of high harmonics and power factor is low on the magnetic flux density that occurs in the normal operation of the actual transformer which is 1.5 Tesla or 1.7 Tesla.</p><p>2) The pattern of magnetization current and total harmonic distorted the magnetic flux density is almost the</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> The calculation result THDi and power factor on the flux density that varies</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Flux Density (Tesla)</th><th align="center" valign="middle" >Io (Ampere)</th><th align="center" valign="middle" >THD (%)</th><th align="center" valign="middle" >Power Factor</th></tr></thead><tr><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >0.00362</td><td align="center" valign="middle" >0.13</td><td align="center" valign="middle" >0.99</td></tr><tr><td align="center" valign="middle" >0.2</td><td align="center" valign="middle" >0.0139</td><td align="center" valign="middle" >0.52</td><td align="center" valign="middle" >0.99</td></tr><tr><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >0.0308</td><td align="center" valign="middle" >1.14</td><td align="center" valign="middle" >0.99</td></tr><tr><td align="center" valign="middle" >0.4</td><td align="center" valign="middle" >0.0539</td><td align="center" valign="middle" >2.00</td><td align="center" valign="middle" >0.98</td></tr><tr><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.0826</td><td align="center" valign="middle" >3.07</td><td align="center" valign="middle" >0.96</td></tr><tr><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >0.1168</td><td align="center" valign="middle" >4.34</td><td align="center" valign="middle" >0.94</td></tr><tr><td align="center" valign="middle" >0.7</td><td align="center" valign="middle" >0.1563</td><td align="center" valign="middle" >5.81</td><td align="center" valign="middle" >0.92</td></tr><tr><td align="center" valign="middle" >0.8</td><td align="center" valign="middle" >0.201</td><td align="center" valign="middle" >7.47</td><td align="center" valign="middle" >0.80</td></tr><tr><td align="center" valign="middle" >0.9</td><td align="center" valign="middle" >0.252</td><td align="center" valign="middle" >9.36</td><td align="center" valign="middle" >0.84</td></tr><tr><td align="center" valign="middle" >1.0</td><td align="center" valign="middle" >0.308</td><td align="center" valign="middle" >11.44</td><td align="center" valign="middle" >0.80</td></tr><tr><td align="center" valign="middle" >1.1</td><td align="center" valign="middle" >0.371</td><td align="center" valign="middle" >13.78</td><td align="center" valign="middle" >0.75</td></tr><tr><td align="center" valign="middle" >1.2</td><td align="center" valign="middle" >0.441</td><td align="center" valign="middle" >16.39</td><td align="center" valign="middle" >0.69</td></tr><tr><td align="center" valign="middle" >1.3</td><td align="center" valign="middle" >0.518</td><td align="center" valign="middle" >19.25</td><td align="center" valign="middle" >0.64</td></tr><tr><td align="center" valign="middle" >1.4</td><td align="center" valign="middle" >0.602</td><td align="center" valign="middle" >22.37</td><td align="center" valign="middle" >0.57</td></tr><tr><td align="center" valign="middle" >1.5</td><td align="center" valign="middle" >0.698</td><td align="center" valign="middle" >25.93</td><td align="center" valign="middle" >0.51</td></tr><tr><td align="center" valign="middle" >1.6</td><td align="center" valign="middle" >0.805</td><td align="center" valign="middle" >29.91</td><td align="center" valign="middle" >0.45</td></tr><tr><td align="center" valign="middle" >1.7</td><td align="center" valign="middle" >0.950</td><td align="center" valign="middle" >35.30</td><td align="center" valign="middle" >0.38</td></tr><tr><td align="center" valign="middle" >1.8</td><td align="center" valign="middle" >1.168</td><td align="center" valign="middle" >43.40</td><td align="center" valign="middle" >0.32</td></tr><tr><td align="center" valign="middle" >1.9</td><td align="center" valign="middle" >1.622</td><td align="center" valign="middle" >60.27</td><td align="center" valign="middle" >0.25</td></tr></tbody></table></table-wrap><p>same as the curve B - H of the magnetic material (shown in the image above).</p><p>3) THDi of the transformer. When the 1.5 Tesla magnetic flux exceeds the standard IEEE 519-1992 i.e. 25% of the capacity of the transformer, then the transformer experiencing saturation condition is characterized by the onset of heat on the transformer.</p><p>4) This phenomenon can be used as an indicator to show that a 1.5 Tesla transformer core material has led to saturation.</p></sec><sec id="s5"><title>Cite this paper</title><p>Erwin Dermawan,Deni Almanda,Laelatus Zahro,Anwar Ilmar Ramadhan,Ery Diniardi, (2016) Analysis Magnetization Current of Harmonic Phenomena and Power Factor as Indicators of Core Saturation at Transformer 3-Phase. Journal of Power and Energy Engineering,04,1-6. doi: 10.4236/jpee.2016.45001</p></sec><sec id="s6"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.66319-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Zuhal (1992) Dasar Teknik Tenaga Listrik dan Elektronika Daya. 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