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    Optimal Design of MPPT Controllers ForOptimal Design of MPPT Controllers For

    Grid Connected Photovoltaic Array SystemGrid Connected Photovoltaic Array System

    Benha University

    Faclty of !ngineering Sho"ra

    !lectrical !ngineering Department#$ M$ Mahmod#$ M$ Mahmod%%& #$ A$ A"del#adi& #$ A$ A"del#adi'('(& M$ A$& M$ A$

    !"rahim!"rahim''& !$ M$ Saied& !$ M$ Saied''& M$ M$ Salama& M$ M$ Salama''

    ''Department of !lectrical po)er and machines& Faclty ofDepartment of !lectrical po)er and machines& Faclty of

    !ngineering at Sho"ra& Benha University& Cairo& !gypt!ngineering at Sho"ra& Benha University& Cairo& !gypt%%Mem"er of C*G+!& Cairo& !gyptMem"er of C*G+!& Cairo& !gypt

    (eng,hosama"delra-a./yahoo$com(eng,hosama"delra-a./yahoo$com

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    Presentation OtlinePresentation Otline

    Paper O"0ective$Paper O"0ective$ System Configration and Modeling$System Configration and Modeling$

    Ma1imm Po)er Point Trac.ing 2MPPT3 Techni4es$Ma1imm Po)er Point Trac.ing 2MPPT3 Techni4es$

      '$ *ncremental Condctance Techni4e$'$ *ncremental Condctance Techni4e$  %$ Pertr" and O"serve 2P5O3 Techni4e$%$ Pertr" and O"serve 2P5O3 Techni4e$

      6$ Fractional Open Circit Techni4e$6$ Fractional Open Circit Techni4e$

      7$ Fractional Short Circit Techni4e$7$ Fractional Short Circit Techni4e$

    Particle S)arm Optimi-ation 2PSO3 Techni4e$Particle S)arm Optimi-ation 2PSO3 Techni4e$

    +eslts and Discssion$+eslts and Discssion$

    Conclsion$Conclsion$

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    Paper O"0ective

    Paper O"0ective

    This paper presents optimal design for the mostThis paper presents optimal design for the most

    commonly sed MPPT techni4es "ased oncommonly sed MPPT techni4es "ased on

    Proportional *ntegral Controller tned "y ParticleProportional *ntegral Controller tned "y Particle

    S)arm Optimi-ation 2P*8PSO3 $S)arm Optimi-ation 2P*8PSO3 $

    These sggested techni4es are&2'3 *ncrementalThese sggested techni4es are&2'3 *ncrementalCondctance 2*C3& 2%3 Pertr" and O"serve 2P5O3&Condctance 2*C3& 2%3 Pertr" and O"serve 2P5O3&

    263Fractional Short Circit and 273 Fractional Open263Fractional Short Circit and 273 Fractional Open

    circit voltage techni4es$circit voltage techni4es$

    A comparative stdy "et)een different techni4es ofA comparative stdy "et)een different techni4es ofMPPT )ith respect to the energy availa"ility ratioMPPT )ith respect to the energy availa"ility ratio

    from photovoltaic panels )as performed$from photovoltaic panels )as performed$

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     System Configration and ModelingS

    ystem Configration and Modeling the proposed system consists of '99 .: P; array& dc8dc "oost converter& dc8ac converter 2inverter3the proposed system consists of '99 .: P; array& dc8dc "oost converter& dc8ac converter 2inverter3

    and distri"tion gridand distri"tion grid. The "loc. diagram of the developed system is sho)n in fig$'The "loc. diagram of the developed system is sho)n in fig$'

     

    Fig$' Bloc. diagram for the proposed systemFig$' Bloc. diagram for the proposed system

    The e4ivalent circit of the solar cell model can "e represented as sho)n in fig$%The e4ivalent circit of the solar cell model can "e represented as sho)n in fig$%

      Fig$% Single diode P; cell e4ivalent circitFig$% Single diode P; cell e4ivalent circit

     

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    System Configration and ModelingS

    ystem Configration and Modeling

    3

    o rs r go r  I I *[T / T ] *[exp(((Q * E ) / (B * K)) * ((1 / T ) (1 / T)))]= −

     pv p ph s o pv pv s sI N * I N * I *[exp((Q * (V I * R )) / (N * A * K * T)) 1]= − + −

    rs sc oc sI I / [exp((Q * V ) / (N * K * A * T)) 1]= −

     ph sc i r I [I K (T T )] * G / 1= + −

    The Mathematical Model of the solar cell can "e )ritten as follo)s

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    :here&:here

    &

    **phph  P; modle Photocrrent 2A3$P; modle Photocrrent 2A3$

    **scsc  P; modle short circit crrent 2A3$P; modle short circit crrent 2A3$

    = = ii short circit crrent temperatre coefficient at *sc 2A>short circit crrent temperatre coefficient at *sc 2A> oCC)

    TT Modle Operating temperatreModle Operating temperatre 22oC3C3

    TTrr

      +eference temperatre 2+eference temperatre 2o

    CC)

    $$

    GG P; modle illminationP; modle illmination 2:>m2:>m%%33

    **rsrs  +everse satration crrent 2A3+everse satration crrent 2A3

    ?? !lectron charge 2C3!lectron charge 2C3

    ;;o$co$c  Open Circit ;oltage 2;3Open Circit ;oltage 2;3

    @@ss  @m"er of cells connected in series@m"er of cells connected in series 

    = =   Bolt-mann constant 2>=3Bolt-mann constant 2>=3@@pp  @m"er of cells connected in Parallel@m"er of cells connected in Parallel

    !!gogo Band gap for silicon 2e;3Band gap for silicon 2e;3

    A&BA&B  ideality factorsideality factors

    + + ss  Series resistance of the P; modle 2Series resistance of the P; modle 233

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    MpptTechniques

    RequiredMeasured

    Parameters

    Equation ofError 

    InputSignal

    OutputSignal

    Incremental

    Conductance

    Voltage and

      Current

    E=I/V + dI/dV Vpv,Ipv Duty

    cycle

    FractionalOpen Circuit

    Voltage E=Vref -!Vo.c Vpv,Vref Dutycycle

    Fractional

    "#ort Circuit

    Current E= Iref -$I%.c Ipv,Iref Duty

    cycle

    &ertur' andO'%erve

    Voltage andCurrent

     (((((((((( Vpv,Ipv Dutycycle

    Ma1imm Po)er Point Trac.ing 2MPPT3 Techni4esMa1imm Po)er Point Trac.ing 2MPPT3 Techni4es

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    Particle Swarm Optimization (PSO) Technique

    ! PSO performs "est reslts in optimi-ation than any other

    optimi-ation techni4e$

    ! PSO is really has t)o poplations p"ests and crrent positions

    this allo)s greater diversity and e1ploration over a single

    poplation$

    ! Also& the momentm effects on   particle movement can allo)

    faster convergence as sho)n in fig$ 6

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     Fig$6 A general flo)chart of PSOFig$6 A general flo)chart of PSO

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    +eslts and Discssion+eslts and Discssion

      The *8; characteristics for the P; model are sho)n in fig$7$

    The P8; otpt characteristics for the P; model are sho)n in

    fig$$

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    The step p DC>DC "oost converter increases the normal voltage of

    P; from %E% ;DC at ma1imm po)er to 99 ;DC as sho)n in fig$

    TheThe  proposed system is tested nder t)o cases )ithproposed system is tested nder t)o cases )ithdifferent irradiance pattern as sho)n in figs E&H and itIsdifferent irradiance pattern as sho)n in figs E&H and itIs

    responses are sho)n in figIs J&'9$responses are sho)n in figIs J&'9$

    +eslts and Discssion

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    +eslts and Discssion+eslts and Discssion

    "ig#$ %o&'r irr'i'ce p'**er +or c'se s*,- 1

    "ig#. -'0ic respose o+ V o,*p,* po2er 2i*h 3T co*ro&&er "ig#. -'0ic respose o+ V o,*p,* po2er 2i*h 3T co*ro&&ers

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    +eslts and Discssion

    Fig.9 Solar irradiance pattern for case study 2Fig.9 Solar irradiance pattern for case study 2

    Fig.10 Transient behavior of PV output powerFig.10 Transient behavior of PV output power

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    +eslts and Discssion

    Fig.11 rid !utput VoltageFig.11 rid !utput Voltage

    Fig.12 rid !utput "urrentFig.12 rid !utput "urrent

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     Table I Available Power Ratio for each MPPT Table I Available Power Ratio for each MPPT

    techniquetechnique

    +eslts and Discssion

     Table II Values of K Table II Values of K pp and K and K ii obtained by Particle Swarmobtained by Particle Swarm

    ptimi!ationptimi!ation

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    ConclsionConclsion

    )   I *his p'per4 ' e2 e++ec*ive co*ro& 0e*ho i*egr'*igI *his p'per4 ' e2 e++ec*ive co*ro& 0e*ho i*egr'*ig

    %567'se I 2's i*ro,ce#%567'se I 2's i*ro,ce#

    )   This rese'rch 'r*ic&e e0os*r'*es *h'* %5 c' so&veThis rese'rch 'r*ic&e e0os*r'*es *h'* %5 c' so&vese'rchig *he co*ro&&er p'r'0e*ers 0ore e++icie*&- *h'se'rchig *he co*ro&&er p'r'0e*ers 0ore e++icie*&- *h'

    cove*io'& oes#cove*io'& oes#

    )   3oe&ig o+ *he propose s-s*e0 2's per+or0e ,sig3oe&ig o+ *he propose s-s*e0 2's per+or0e ,sig

    3AT8AB/%I398INK so+*2're p'c:'ge#3AT8AB/%I398INK so+*2're p'c:'ge#

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    ConclsionConclsion

    )   The si0,&'*io 2's co,c*e i orer *o cover +,&& r'geThe si0,&'*io 2's co,c*e i orer *o cover +,&& r'ge

    o+ oper'*ig coi*ios ' severe is*,r7'ces#o+ oper'*ig coi*ios ' severe is*,r7'ces#

    )   I*;s evie* +ro0 si0,&'*io res,&*s *h'* *he Icre0e*'&I*;s evie* +ro0 si0,&'*io res,&*s *h'* *he Icre0e*'&co,c*'ce *echi

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    e-mail  : e-mail  : eng _ hosamabdelra

    zakeng _ hosamabd

    elrazak@@ yahoo.com yahoo.com

    Mobile : Mobile : (+2) 012 104  !! 4

    (+2) 012 104  !! 4