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ANALYSISANDCOMPARISONOFMAXIMUMPOWERPOINTTRACKINGALGORITHMSFORPVSYSTEMS
BRAHMANSINGHBHALAVI
AssistantProfessor,SEES,DAVV,INDORE,INDIA
ABSTRACT
ThemaximumpowerpointTracker(MPPTs),forthesolarpanelsplaysanimportantrolebecauseitprovidesthemaximumoutputfromthePVsystem,foragivensetofconditionsoftheirelectricpowersystems,andthereforemaximizestheefficiencyof thepanel,which therebyhelps inminimizing the totalsystemcost.PresentlyanumberofMPPTalgorithmsareavailableformaintainoperationat themaxi‐mumpowerpoint,however,everyalgorithmshas theirownadvantagesand limitationswhichcausesthedifferentbehaviorwhenusedincommercialsolarpowerMPPTs.Thispaperisintendedtopublisheffectivecomparison amongst the different algorithms and represent an optimized solution on the basis of requirement specificcriteria.Theresults from thisworkcanbeutilized to find thebestMPPTsystemdependinguponspecificrequirementsandresourcesavailability.
Keywords:MaximumPowerPointTracking(MPPT),SolarPanel,PhotovoltaicSystems(PV).
1. INTRODUCTION
Under uniform illumination, PV array has a constantcurrent voltage (IV) characteristic onwhich there is aunique point on the IV curve known as the maximumpower point (MPP). The array can be operated in thehighest efficiency to produce a maximum output power.WhenthePVarrayisconnectedtotheload(theso‐called"directly coupled" systems) itmaydirect thePVpanel todifferent operation points. In general, depending on theoperating point it is difficult to achieve the MPP. Toovercomethisproblem,MPPTconverterareusedtotrackmaximumpowerpoint,andmaintaintheoperatingpointofthePVarrayattheMPP.
If properly controlled by the algorithm,MPPT can locateandtracktheMPPinPVarray.However,thelocationoftheMPP in the plane is not known in advance, henceitshould be located, or by means of model calculations orthrough a search algorithm. Furthermore the situationisagain complicated by the fact that MPP dependsnonlinearly on the light and temperature, as shown infigure1(a) under increasing radiation at a constanttemperature, and Figure 1 (b) shows the curvesunder the same values of the light, but at a highertemperature. This paper presents a variety of ways fordiscussion of each algorithm. In this paperminormodifications of different existing methods are avoidedanddiscussedundermainmethod.
Figure1(a):SolarcellI‐Vcharacteristicsfordifferentirradiationvalues.
Figure1(b):Solarcellpowercharacteristicsfordifferentirradiationvalues.
Manuscriptconcludeswithadiscussionondifferentwaysdependingontheirimplementation,thenecessarysensors,theirabilitytodetectmany localMaxima, theircosts,andthey suit applications. A summary of the key features ofdifferentmethodsarealsoprovided.
BRAHMAN SINGH BHALAVI et al. DATE OF PUBLICATION: FEB 19, 2015
ISSN: 2348-4098 VOL 3 ISSUE 1 JAN-FEB 2015
INTERNATIONAL JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY- www.ijset.in 294
2. MPPTALGORITHMS
As explained earlier, the MPPT algorithm is required inordertogetthemostpowerfromsolarpanels.TheMPPTalgorithms are used to track the MPP of a solar panelwhich largelydependson the radiationand temperature.Over the last decade, many methods are developed andpublishedtofindtheMPPwithreliability.Thesemethodsdiffer in many aspects, such as the necessary sensors,complexity, cost, range, rate of convergence,effectivenessof trackingunder thedynamicradiationandtemperaturevariations. Presently P&O (Perturb and Observe) and In‐Cond(IncrementalConductance)algorithmsare themostcommonly used for MPPT. These methods have theadvantage of a simple implementation, but they alsohavedisadvantages,aswillbeshownlater.Othermethodsbased on different principlesfuzzy logic control, neuralnetworks, open circuit voltage and the fraction of shortcircuit current, the current sweep, etc. most of thesemethods give a local maximum, and some, such asfractional open circuit or short circuit current, giveapproximate and multiple MPP’s which is helpfulspecificallyforpartiallyshadedPVARRAY’s,whereseveralMPP’s can exists. In the next section, some of the mostpopularMPPTtechniquesarediscussed.
2.1HILL‐CLIMBINGTECHNIQUE
P&OandIn‐Condalgorithmsarebasedontheprincipleofthe"Hillclimb",whichconsistsofmovingtheoperationofPV in the direction in which the power increases. Hillclimbing techniques are the most popular methods ofMPPT, thanks to their ease of implementation and goodperformance, forconstantirradiation. The advantages ofboth methods are simplicity and low computationalcomplexity.AlsotheyhavewellknowndisadvantagessuchasvibrationsaroundMPPandcompletelyfailstotracktheMPPduringarapidlychangingoperationalconditions.
2.2PERTURBANDOBSERVE(P&O)
The P&O algorithm is also known as “hill‐climbing”,hencebothnamesrefertothesamealgorithmconceptthe only difference is how it is implemented. The Hill‐climbingmethodinvolvesaperturbationonthedutycycleof theDC toDCconverterandP&Oaperturbation in theoperating voltage of the DC connection between the PVarrayand theDC toDCconverter. In thecaseof theHill‐climbing, perturbation in the duty cycle of the powerconverterisperformedtochangethevoltageoftheDClinkbetween thePVarrayand theDC toDCconverter, hencebothreferstothesameconcept.
Finallythetechniqueutilizespreviousgrowthdisturbancestodecidewhatshouldbe thenextdisturbancedependinguponthechangeinpower.Ifthereisanincreaseinpower,proceduremustbefollowedinsamedirectionotherwiseitmustbemovedintheoppositedirectionandthisprocessisrepeateduntil it reaches theMPP.However inpractice itnever stabilized on a MPP instead it fluctuates aroundMPP.
Figure2:PerturbandObserve(P&O)AlgorithmFlowChart
2.3INCREMENTALCONDUCTANCE
Incremental conductance algorithm utilizes thecharacteristiccurvebetweenpowerandvoltage(current)of PV panelwhich shows the zero slope at MPP andpositiveornegativeontotheotherrespectivesides.
Comparing the change in increment of voltage againstoutput (current)between two consecutive measurementsofthePVpaneltherequiredvoltagechangeforMPPcanbedetermined.
Figure3:IncrementalConductanceAlgorithmFlowChart
InbothP&OandIn‐CondschemesthetimetoachieveMPPdepends on the size of the MPPincrement the referencevoltage. Besides providing quicker convergence thesealgorithms has to main limitations. The first and mostimportant of them, that theycan easily lose track of theMPP if the radiation changes quickly, althoughin case
BRAHMAN SINGH BHALAVI et al. DATE OF PUBLICATION: FEB 19, 2015
ISSN: 2348-4098 VOL 3 ISSUE 1 JAN-FEB 2015
INTERNATIONAL JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY- www.ijset.in 295
ofstep changes they trackMPP very well, because of theinstantaneous change whichdoes not requirecontinuouschanging of the curve. However, when environmentalconditionsmodifiesthecurve,onwhichthealgorithmsarebasedon;then changes in voltage and current donotonlybecauseoftheperturbationofvoltage.Asaresult,itisnotpossible foralgorithms to determine whether changes inthePVpanelpowerisduetovoltageperturbationorduetoachangeinexposure.
Another obstacle is both voltage and current fluctuatesaroundMPP in the steady state. This is due to the factthatcontrol is discrete and voltage and current do notconstantly remains at MPP, butoscillates around it. Themagnitudeoftheoscillationsdependsontherateofchangeof the reference voltage. The bigger it is, the higher theamplitudefluctuations. However the frequency ofoscillationisinverselyproportionaltothestepsizeoftheincrement of voltage. The traditional solution is atradeoff between oscillations and tracking time as if theincrement is small so that the oscillations decrease,then the MPP is reached slowly and vice versa, so acompromisesolutionhas tobe foundThus, the last threeMPPTmethodsarebasedonthesameprinciples,P&OandIn‐Condalgorithms,sotheyhavethesameadvantagesanddisadvantages.All Climbing Hill MPPT methods ofPhotovoltaic array depend on V‐P or‐P featuresthatdepends on the temperature and radiation, so thesemethods MPPT can beconfused when radiation ortemperaturechanges.Finally,othermethodsofHillclimbMPPT does not offer any improvement inthe originalalgorithmsP&OandIn‐Cond.
2.4FUZZYLOGICCONTROL
Theuseof fuzzy logiccontrolhasgainingpopularityoverthe traditional control systems because it candeal withcomplexsystemswithoutanaccuratemathematicalmodeland canalso handle the nonlinearity. Recent growth indigital electronicssuch as microprocessors andmicrocontrollers also helped in popularizing fuzzy thecontrollogic.
Figure3:FuzzyLogicControlledMPPTBlockDiagram
InBasicstructuretheFuzzylogiccontrollercanbedividedintothreephases:fuzzy‐fication,inferencesystemsandde‐fuzzy‐fication.
Figure4:fuzzy‐ficationandde‐fuzzy‐ficationmembershipfunctions.
Fuzzy‐fication process extracts linguistic variables basedon degree of membership for certain sets from inputnumeric values.Membership functions, are used toassociate a class membership or relation for eachthelinguistic notion. The number of membership functionsrequiredisdependsontheaccuracyofthecontroller.
Figure5:fuzzyinferencesystemrulebase.
The inference systems is simple a lookup table of ruleswhich used to estimate the output from each linguisticvariablescombinations(ANDorOR).Finallytheoutputofinference systems for all derived linguistic variablescombinations of numeric inputs are combined using de‐fuzzy‐ficationtoproducerequiredcontroloutput.
2.5NEURALNETWORKS
Neural networks came along with Fuzzy Logic and bothare the part of Soft Computing techniques. However theneural network is completely different from fuzzy logic.The neural network or more accurately artificial neuralnetworkisamathematicalmodelofbio‐neuronsdesignedto gain the information from given set of training datasamples. The tracking accuracy of such systems dependuponnumberofneuronsandlayersofneuronsandqualityoftrainingdataset.
BRAHMAN SINGH BHALAVI et al. DATE OF PUBLICATION: FEB 19, 2015
ISSN: 2348-4098 VOL 3 ISSUE 1 JAN-FEB 2015
INTERNATIONAL JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY- www.ijset.in 296
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BRAHMAN SINGH BHALAVI et al. DATE OF PUBLICATION: FEB 19, 2015
ISSN: 2348-4098 VOL 3 ISSUE 1 JAN-FEB 2015
INTERNATIONAL JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY- www.ijset.in 297