<?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">OALibJ</journal-id><journal-title-group><journal-title>Open Access Library Journal</journal-title></journal-title-group><issn pub-type="epub">2333-9705</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/oalib.1105446</article-id><article-id pub-id-type="publisher-id">OALibJ-92669</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Business&amp;Economics</subject><subject> Chemistry&amp;Materials Science</subject><subject> Computer Science&amp;Communications</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Engineering</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject><subject> Social Sciences&amp;Humanities</subject></subj-group></article-categories><title-group><article-title>
 
 
  Harmonic Investigation of Compact Fluorescent Lamps Low Energy Consumption Lamps of Cameroonian Market
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>S.</surname><given-names>Perabi Ngoffe</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>S.</surname><given-names>Ndjakomo Essiane</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>Florence</surname><given-names>Offole</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>Ghislain</surname><given-names>Mengata Mengounou</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>Adolphe</surname><given-names>Moukengue Imano</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>Onambele</surname><given-names>Onambele</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff2"><addr-line>Engineering Sciences Laboratory, University of Douala, Douala, Cameroun</addr-line></aff><aff id="aff1"><addr-line>Laboratory of Technology and Applied Sciences, University of Douala, Douala, Cameroun</addr-line></aff><pub-date pub-type="epub"><day>07</day><month>05</month><year>2019</year></pub-date><volume>06</volume><issue>05</issue><fpage>1</fpage><lpage>11</lpage><history><date date-type="received"><day>6,</day>	<month>May</month>	<year>2019</year></date><date date-type="rev-recd"><day>24,</day>	<month>May</month>	<year>2019</year>	</date><date date-type="accepted"><day>27,</day>	<month>May</month>	<year>2019</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>
 
 
  This article presents a study of compact fluorescent lamps (CFLs) low energy consumption lamps found in the Cameroonian market. The current obtained in the experimental setup has been analyzed in Matla
  b Simulink. The results obtained show that the THD of different lamps does not respect the standard IEC-61000-3-2. These values increase with the power of lamps. Spectral analysis of these lamps shows that the probable cause of their premature degradation results from the effects of harmonics on the capacitors. This degradation is all more precocious as the rank and the concerned THDi is great. That’s why 75 W lamps are more sensitive than others.
 
</p></abstract><kwd-group><kwd>Harmonic</kwd><kwd> Pollution</kwd><kwd> Compact Fluorescent Lamp</kwd><kwd> THD</kwd><kwd> Spectrum Harmonic</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Deficit electric energy in the world and mainly in Africa has led states to adopt energy efficiency policies. These policies concern production and consumption fields. Consumption of electrical energy by electric lighting is estimated at 20% world consumption. To reduce this, Cameroonians have chosen low-energy lamps. Among these, we find mainly LED lamps and compact fluorescent lamps (CFLs) with electronic ballast. The lifespan ranging of CFL is estimated between 6000 h and 15,000 h but in pratic we observe a premature deterioration of these. Analysis of power supplies of these faulty lamps shows that they are RCD (resistor, capacitor and diodes) types [<xref ref-type="bibr" rid="scirp.92669-ref1">1</xref>] and the most critical element is capacitor. These failures can have several causes; harmonic pollution is one of them. Harmonic currents originate from the absorption of non-sinusoidal currents by non-linear loads [<xref ref-type="bibr" rid="scirp.92669-ref2">2</xref>] . CFLs by their alimentation structures are nonlinear load [<xref ref-type="bibr" rid="scirp.92669-ref3">3</xref>] . Effects of harmonics are numerous, ranging from abnormal heating of conductors to the destruction of electric components [<xref ref-type="bibr" rid="scirp.92669-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref6">6</xref>] . These effects concern the components connected to the same node of an electrical network and vary according to the harmonic rank and their rate in the signal. The electromagnetic compatibility standards limit this harmonic pollution depending on type and power of load [<xref ref-type="bibr" rid="scirp.92669-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref9">9</xref>] . Several solutions exist to this phenomenon, among them: sizing, compensation, and filtering [<xref ref-type="bibr" rid="scirp.92669-ref10">10</xref>] . Knowledge of harmonic spectrum makes it possible not only to diagnose failures causes of electric components, but also to design adapted filters. The article aim is to investigate the harmonic pollution of CFLs. It is subdivided into three parts. The first is a review of the literature on harmonics and analysis methods, the second presents the methods and tools used to carry out our investigation and the last is a presentation of results.</p></sec><sec id="s2"><title>2. Related Work</title><p>Harmonics are the sinusoidal voltages or currents whose frequency is an integer multiple of frequency network (50 hz in Cameroon) called fundamental. A signal polluted is a superposition of this different harmonics that can modeled by following equation:</p><p>f ( t ) = a 0 + ∑ n = 1 ∞ ( a n cos ( n w t ) + b n sin ( n w t ) ) (1)</p><p>where n is harmonic rank and w = 2 Π T the electric pulse</p><p>a 0 , a n , b n , are real constants with:</p><p>a 0 the average value of the electrical signal given by:</p><p>a 0 = 1 T ∫ T f ( t ) d t</p><p>a n the real part of signal amplitude</p><p>a n = 2 T ∫ T f ( t ) cos ( n ω t ) d t</p><p>b n the imaginary part of signal amplitude</p><p>b n = 2 T ∫ T f ( t ) sin ( n ω t ) d t <sub> </sub></p><p>For n = 1 we have the fundamental.</p><sec id="s2_1"><title>2.1. Harmonics Sources</title><p>Main harmonics perturbations causes are nonlinear charges. They are generated by equipment (electronics components) who supply by DC current. computers, variable speed drives and CFLs are examples. This load type is characterized by generation of deformed current which remains periodic and created sequences zero harmonics like: rank 7 and 13 witch are sequence positive; rank 5 and 11 witch are sequence negative; rank 3 and 9 witch are sequence zero [<xref ref-type="bibr" rid="scirp.92669-ref11">11</xref>] .</p></sec><sec id="s2_2"><title>2.2. Harmonic Currents Characteristics</title><p>Electric characteristics of a periodic signal deformed are:</p><p>• The total rms value</p><p>If I k is rms value of harmonic current at rank k, the total rms value is given by Equation (2)</p><p>I r m s = ∑ k = 1 n I k 2 (2)</p><p>•The individual harmonic distortion rate</p><p>It gives relation between rms value of harmonic and the fundamental</p><p>T H D i % = I K I 1 &#215; 100 (3)</p><p>•Total harmonic distortion</p><p>It characterizes signal distortion rate, their expression is given by Equation (4)</p><p>T H D % = ∑ k = 2 n I k 2 I 1 &#215; 100 (4)</p><p>•The harmonic spectrum</p><p>It consists of determining magnitude or THDI (voltage or current) at different signal harmonics rank. the spectral density gives similar information. <xref ref-type="fig" rid="fig1">Figure 1</xref> shows an example of a spectrum.</p><p>• The power factor</p><p>It is ratio between active power (P) and apparent power (S). It does not translate difference phase between voltage and current of load. Equation (5) give their expression:</p><p>λ = P S (5)</p><p>•The distortion factor</p><p>It is ratio between power factor and difference phase between current and voltage. It characterizes deformation of the phase shift. If it equal to one, it means that signal has not harmonics. It is given by Equation (6)</p><p>ν = λ cos φ 1 (6)</p><p>With φ 1 phase shift between voltage and current at the fundamental</p><p>• The distortion power</p><p>The presence of Harmonics in signal create a power distortion given by following relation [<xref ref-type="bibr" rid="scirp.92669-ref12">12</xref>] :</p><p>D 2 = S 2 − P 1 2 − Q 1 2</p><p>where P 1 and Q 1 are active and reactive powers at the fundamental.</p></sec><sec id="s2_3"><title>2.3. The Effects of Harmonics</title><p>Harmonics have several effects in the electric network equipment’s, including [<xref ref-type="bibr" rid="scirp.92669-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref6">6</xref>] :</p><p>• The heating of cables by joule effect, translated by following equation:</p><p>Perte = r ∑ k = 1 n I k 2 (7)</p><p>With r the cable resistance.</p><p>This heating also concerns the protective conductor if spectrum is rich in rank 3 harmonic.</p><p>• Destruction of capacitors</p><p>Capacitor current is given by following relation:</p><p>I = 2 Π k f C U (8)</p><p>where k is the harmonic rank and f the fundamental frequency.</p><p>This current increases with the harmonic rank. If capacitor is connected parallel with a transformer or an inductor it can enter resonance at the corresponding eletric pulsation given by Equation (9)</p><p>w k 2 = 1 L C (9)</p><p>With w k = 2 Π k f</p><p>Apart from these consequences we can cite: the nuisance tripping of circuit breakers, sources disturbance, sensitive electronic equipment and others.</p></sec><sec id="s2_4"><title>2.4. Standards and Harmonics</title><p>To limit harmonic pollution several standards and directives on electromagnetic compatibility are imposed. These are presented in <xref ref-type="table" rid="table1"><xref ref-type="table" rid="table">Table </xref>1</xref>.</p><p>Like any device electric, CFLs lamps must comply with IEC 61000-3-2 standard, which states that harmonics emission limits for lamps are subdivided according to their active power (<xref ref-type="table" rid="table2"><xref ref-type="table" rid="table">Table </xref>2</xref>) [<xref ref-type="bibr" rid="scirp.92669-ref7">7</xref>] .</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> Standards for harmonic emission limits [<xref ref-type="bibr" rid="scirp.92669-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.92669-ref9">9</xref>] </title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Standards</th><th align="center" valign="middle" >Description</th></tr></thead><tr><td align="center" valign="middle" >IEC-61000-2-2</td><td align="center" valign="middle" >Compatibility Levels for Low Frequency Conducted Disturbances and Signal Transmission in Low Voltage Distribution Networks</td></tr><tr><td align="center" valign="middle" >IEC-61000-2-4</td><td align="center" valign="middle" >Compatibility levels for low-frequency disturbances in industrial installations</td></tr><tr><td align="center" valign="middle" >IEC-61000-3-2</td><td align="center" valign="middle" >Limitation of harmonic current emissions (equipment with input current less than 16 A per phase)</td></tr><tr><td align="center" valign="middle" >IEC-61000-3-4</td><td align="center" valign="middle" >Limits for harmonic current emissions on low-voltage networks for equipment with a rated current greater than 16 A.</td></tr><tr><td align="center" valign="middle" >IEC-61000-3-12</td><td align="center" valign="middle" >Limits for harmonic currents produced by equipment connected to public low-voltage networks with input currents greater than 16 A and less than or equal to 75 A</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> Maximum harmonic current allowed</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  ><xref ref-type="table" rid="table">Table </xref>Head</th><th align="center" valign="middle"  colspan="2"  >Power less than 25 W. one of these 2 limits applies</th><th align="center" valign="middle" >Power greater than 25 W</th></tr></thead><tr><td align="center" valign="middle" >% of the fundamental current</td><td align="center" valign="middle" >Harmonic current in relation to the active power</td><td align="center" valign="middle" >% of the fundamental current</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >86</td><td align="center" valign="middle" >3.4 ma/W</td><td align="center" valign="middle" >30</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >61</td><td align="center" valign="middle" >1.9 ma/W</td><td align="center" valign="middle" >10</td></tr></tbody></table></table-wrap></sec></sec><sec id="s3"><title>3. Methodology</title><p>Investigation we carried out focused on 3 lamps whose characteristics are given in <xref ref-type="table" rid="table">Table </xref>3.</p><sec id="s3_1"><title>3.1. Presentation Experimental Setup</title><p>Measurement of current absorbed by lamps was carried out using the experimental setup shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p><p>Experimental setup consists of the following elements:</p><p>• Connection box to connect lamps and different elements of the bench;</p><p>• Switch for switching lamps;</p><p>• Computer (output interface) for viewing electrical signal;</p><p>• VOLCRAFT digital oscilloscope interface connected to computer;</p><p>• A measuring probe; A shunt for currents measurement through voltages image.</p></sec><sec id="s3_2"><title>3.2. Treatment and Analysis Platform on Matlab Simulink</title><p>Signal coming from oscilloscope (computer) being noisy, <xref ref-type="fig" rid="fig3">Figure 3</xref> presents Simulink processing and analysis platform.</p></sec></sec><sec id="s4"><title>4. Results and Discussion</title><p>Voltages at the terminals of our different shunt are presented in <xref ref-type="fig" rid="fig4">Figure 4</xref>.</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table">Table </xref>3</label><caption><title> Characteristics of investigated lamps</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >Power (W)</th><th align="center" valign="middle" >Voltage (V)</th><th align="center" valign="middle" >Frequency (Hz)</th><th align="center" valign="middle" >Life time (h)</th></tr></thead><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/92669x29.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >220 - 240</td><td align="center" valign="middle" >50 - 60</td><td align="center" valign="middle" >8000</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/92669x30.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >220 - 240</td><td align="center" valign="middle" >50 - 60</td><td align="center" valign="middle" >8000</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/92669x31.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >75</td><td align="center" valign="middle" >220 - 240</td><td align="center" valign="middle" >50 - 60</td><td align="center" valign="middle" >8000</td></tr></tbody></table></table-wrap><p>We note that obtained measurements are quite noisy hence need to filter for better exploitation. After measurement, signal obtained are processing on matlab simulink platform. Results are presented in <xref ref-type="fig" rid="fig5">Figure 5</xref>.</p><p>Currents obtained are less noisy. Their different THD are presented in <xref ref-type="table" rid="table">Table </xref>4.</p><p>It is found that THD increases with the lamps power. values obtained are much higher than the 3% predicted by standard for class C equipment. Analysis of spectral density gave the following results in <xref ref-type="fig" rid="fig6">Figure 6</xref>.</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table">Table </xref>4</label><caption><title> Obtained currents with a THD</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Lamp</th><th align="center" valign="middle" >THD (%)</th></tr></thead><tr><td align="center" valign="middle" >20 W</td><td align="center" valign="middle" >68.99</td></tr><tr><td align="center" valign="middle" >40 W</td><td align="center" valign="middle" >82.94</td></tr><tr><td align="center" valign="middle" >75 W</td><td align="center" valign="middle" >116.04</td></tr></tbody></table></table-wrap><p><xref ref-type="table" rid="table">Table </xref>5 shows the results of calculation of the THD<sub>i</sub> resulting from this spectral density.</p><p>We note that at each harmonic rank, THD<sub>i</sub> increase with power of lamps. According to the IEC-61000-3-2 standard only the 20 W lamp is in adequacy with standard (<xref ref-type="table" rid="table2"><xref ref-type="table" rid="table">Table </xref>2</xref>). In addition, Equations (8) and (9) predict risk of overcurrent in capacitors, and resonance between capacitors, transformer and inductance of the CFLs supply. according to results of <xref ref-type="table" rid="table">Table </xref>5 the 75 W lamp is most likely to degrade prematurely.</p><table-wrap id="table5" ><label><xref ref-type="table" rid="table">Table </xref>5</label><caption><title> THDi of investigated lamps</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >Rank of the harmonic</th><th align="center" valign="middle"  colspan="3"  >THDi lamps (%)</th></tr></thead><tr><td align="center" valign="middle" >20 W</td><td align="center" valign="middle" >40 W</td><td align="center" valign="middle" >75 W</td></tr><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >100</td><td align="center" valign="middle" >100</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >37.5</td><td align="center" valign="middle" >58.3</td><td align="center" valign="middle" >64</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >8.83</td><td align="center" valign="middle" >30</td></tr><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >10</td><td align="center" valign="middle" >16.6</td><td align="center" valign="middle" >37</td></tr><tr><td align="center" valign="middle" >9</td><td align="center" valign="middle" >-</td><td align="center" valign="middle" >4.16</td><td align="center" valign="middle" >40</td></tr></tbody></table></table-wrap></sec><sec id="s5"><title>5. Conclusion</title><p>This article investigates the harmonic pollution of CFLs lamps in order to diagnose the causes of premature degradation of these lamps. For this purpose, experimental setup has been set up to carry out the various tests. Noisy signal obtained was filtered and analyzed in the Matlab Simulink platform. Obtained results show that harmonic spectrum of investigated lamps mainly comprises harmonics of zero sequence. THD obtained increases with power as well as THDi. Comparison of different results with IEC-61000-3-2 IEC standard shows that only the 20 W lamp is inadequacy at the harmonics 3 and 5. High rate of these THDs suggests that the rapid deterioration cause of these type lamps are effects of harmonics on the capacitors (Equations (8) and (9)).</p></sec><sec id="s6"><title>Acknowledgements</title><p>The authors wish to express their sincere thanks to research team in Electrical Energy System of University of Douala.</p></sec><sec id="s7"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s8"><title>Cite this paper</title><p>Perabi Ngoffe, S., Ndjakomo Essiane, S., Offole, F., Mengata Mengounou, G., Moukengue Imano, A. and Onambele (2019) Harmonic Investigation of Compact Fluorescent Lamps Low Energy Consumption Lamps of Cameroonian Market. Open Access Library Journal, 6: e5446. https://doi.org/10.4236/oalib.1105446</p></sec></body><back><ref-list><title>References</title><ref id="scirp.92669-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Schneider Electric (2015) Elimination des harmoniques dans les installations. Edition 09/2015, 1-21.</mixed-citation></ref><ref id="scirp.92669-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Nohra, M.A.H. (2017) Commande de Filtres Actifs Parallèles sur un Réseau Fortement Perturbé. Ph.D. Thesis, Toulouse University, Tou-louse.</mixed-citation></ref><ref id="scirp.92669-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Hanna Nohra, A.F., Kanaan, H.Y. and Al-Haddad, K. (2012) A Study on the Impact of a Massive Integration of Compact Fluorescent Lamps on Power Quality in Distribution Power Systems. 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