PV CELL MODULE MODELING & ANN SIMULATION FOR SMART GRID APPLICATIONS

Transcription

1 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. PV CELL MODULE MODELNG & ANN SMULATON FO SMAT GD APPLCATONS ADEL EL SHAHAT eearch Scietit, Mechatric-Gree Eergy Lab., Elect. & Cmp. Eg. Dept., OSU, USA, 3 adel.elhahat@ieee.rg, ahmed.@u.edu ABSTACT Thi paper prpe geeral ad pecific mdelig ad imulati fr Schtt ASE-3-DGF PV pael fr Smart Grid applicati. Thi i de, with the aid f MATLAB evirmet ad Artificial Neural Netwrk (ANN). Firt mdelig f PV cell mdule at mial cditi at 5 C, ad KW/m with -V curve at ( C, 5 C, 5 C, 75 C), al pwer ad irradiace. The, we prpe geeral mdelig ad imulati at mre prbable ituati fr variable value f temperature ad irradiace. The imulati reult at each irradiace value with variu temperature value ad crrepdig characteritic are well depicted i 3-D figure. Later, the ANN mdel fr the prped rage f irradiace ad temperature a mdel iput, with the crrepdig value f vltage, curret, ad pwer a utput i preeted. Fially, algebraic equati fr the ANN mdel are deduced. Keywrd: Mdelig, Simulati, Smart Grid, MATLAB, Neural Netwrk, PV Cell.. NTODUCTON Due t the imprtace f PV cell epecially i Smart Grid Eergy Sytem (SGES) thi paper i prped. Smart Grid Eergy Sytem (SGES) i recetly icreaig, particularly ite geerati. Thi iteret i becaue larger pwer plat are ecmically ufeaible i may regi due t icreaig ytem ad fuel ct, ad mre trict evirmetal regulati. additi, recet techlgical advace i mall geeratr, Pwer Electric, ad eergy trage device have prvided a ew pprtuity fr ditributed eergy reurce at the ditributi level [-3]. Phtvltaic ytem have becme icreaigly ppular ad are ideally uited fr ditributed ytem. May gvermet have prvided the much eeded icetive t prmte the utilizati f reewable eergie, ecuragig a mre decetralized apprach t pwer delivery ytem. pite f their relatively high ct, there ha bee very remarkable grwth i italled Phtvltaic ytem. ecet tudie hw a expetial icreae i the wrldwide italled phtvltaic pwer capacity. There i gig reearch aimed at reducig the ct ad achievig higher efficiecy. Furthermre, ew regulatry law madatig the ue f reewable eergy have expaded thi market arud the wrld. Curretly, phtvltaic geerati ytem are actively beig prmted i rder t mitigate evirmetal iue uch a the gree hue effect ad air plluti. Slar eergy i the wrld' majr reewable eergy urce ad i available everywhere i differet quatitie. Phtvltaic pael d t have ay mvig part, perate iletly ad geerate emii. Ather advatage i that lar techlgy i highly mdular ad ca be eaily aled t prvide the required pwer fr differet lad [], [5]. The fuel cell wa iveted by Sir William Grve i 839, but wa t ued i a practical applicati util prt-exchage membrae fuel cell (PEMFC), made by Geeral Electric, were emplyed i the Natial Aerautic ad Space Admiitrati (NASA) Gemii mii i the early 96. A a reult, the Alkalie Fuel Cell (AFC) wa ued fr a time by NASA, ad the ue f PEMFC became almt -exitet. the 99, the PEMFC regaied it tatu a the dmiat fuel cell type, ad fuel cell i geeral have received ciderable atteti a a alterative t fil fuel cmbuti. Much f the credit fr the revitalizati f the PEMFC mut be give t Ballard Pwer Sytem ad t the L Alam Natial Labratry. The PEMFC i w ee by may reearcher ad cmpaie a the ly fuel cell type uitable fr 9

2 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. vehicular applicati, due t a relatively high pwer deity, lw peratig temperature ad lid electrlyte. A igificat amut f fuel cell reearch fcue fudametal iue f perfrmace ad ct [6-9]. Ad fially, me f recet reearch advace example abut thi tpic are itrduced i [-]. Thi paper itrduce geeral ad pecific mdelig ad imulati fr Schtt ASE-3-DGF PV pael [3] fr Smart Grid (SG) applicati a hw i figure []. cell maufacture i m crytallie r ply crytallie ilic. Each cell i typically made f quare r rectagular wafer f dimei meaurig abut cm cm.3 mm. the dark, the PV cell behavir i imilar t that f a dide ad the well kw Shckley-ead equati ca be [], []. 3. ASE-3-DGF PV MODULE The ASE-3-DGF/5 i a idutrial-grade lar pwer mdule built t the highet tadard. Extremely pwerful ad reliable, the mdule deliver maximum perfrmace i large ytem that require higher vltage, icludig the mt challegig cditi f military, utility ad cmmercial itallati. Fr uperir perfrmace, quality ad peace f mid, the ASE-3-DGF/5 i rewed a the firt chice amg the wh recgize that t all lar mdule are created equal [3]. Figure : Simple Smart Grid Sytem with PV Geeratig Stati [].. PV CELL A cmmercial PV pael i ctructed frm a umber f PV cell. A PV cell i ctructed frm a p- hm jucti material. The hm jucti i a emicductr iterface that ccur betwee layer f imilar emicductr material. Thee material have equal bad gap ad they typically have differet dpig (emicductr) which there i a built i electric field. The abrpti f pht f eergy geerate DC pwer. Figure3: Picture f PV mdule [3] { { Figure : ASE-3-DGF/5 dide huig with bypa dide [3]. Figure : DC Pwer Geerati i a PV cell. The cr ecti f a PV cell i hw i figure. The mt cmm material ued i PV

3 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. Figure 5: Full quare emi-crytallie EFG cell. The electrical data applie t tadard tet cditi (STC): rradiace at the mdule level f, W/m with pectrum AM.5 ad a cell temperature f 5 C. The implet mdel f a PV cell equivalet circuit cit f a ideal curret urce i parallel with a ideal dide. The curret urce repreet the curret geerated by pht (fte deted a ph r L ), ad it utput i ctat uder ctat temperature ad ctat icidet radiati f light. The PV pael i uually repreeted by the igle expetial mdel r the duble expetial mdel. The igle expetial mdel i hw i fig. 6. The curret i expreed i term f vltage, curret ad temperature a hw i equati []. Table : Electrical data[3] Table : Dimei ad weight [3] Figure 6: Sigle expetial mdel f a PV Cell. q( V + ) = ph exp V + p () Table 3: Characteritic data [3] Figure 7: Duble expetial mdel f PV Cell. q( V + ) q( V + ) V + p = ph exp exp (). MODELNG A PV CELL The ue f equivalet electric circuit make it pible t mdel characteritic f a PV cell. The methd ued here i implemeted i MATLAB prgram fr imulati. The ame mdelig techique i al applicable fr mdelig a PV mdule. There are tw key parameter frequetly ued t characterize a PV cell. Shrtig tgether the termial f the cell, the pht geerated curret will fllw ut f the cell a a hrt-circuit curret ( ). Thu, ph =, whe there i cecti t the PV cell (pe-circuit), the pht geerated curret i huted iterally by the itriic p- jucti dide. Thi give the pe circuit vltage (V c ). The PV mdule r cell maufacturer uually prvide the value f thee parameter i their dataheet []. Where ph : the pht geerated curret; : the dark aturati curret; : aturati curret due t diffui; : i the aturati curret due t recmbiati i the pace charge layer; p : curret flwig i the hut reitace; : cell erie reitace; p : the cell (hut) reitace; A: the dide quality factr; q: the 9 electric charge,.6 C; k: the Bltzma ctat,.38 3 J/K; ad T: the ambiet temperature, i Kelvi. Eq. ad Eq. are bth liear. Furthermre, the parameter ( ph,,,, h ad A) vary with temperature, irradiace ad deped maufacturig tlerace a hw i figure 8. Numerical methd ad curve fittig ca be ued t etimate [], [].

4 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. Figure 8: Mdelig f a PV Pael[] There are three key peratig pit the V curve f a phtvltaic cell. They are the hrt circuit pit, maximum pwer pit ad the pe circuit pit. At the pe circuit pit the V curve, V = V c ad =. After ubtitutig thee value i the igle expetial equati () the equati ca be btaied []. qv c V c = ph exp (3) p At the hrt circuit pit the V curve, = ad V =. Similarly, uig equati (), we ca btai. q = ph exp () p At the maximum pwer pit f the V curve, we have = mpp ad V = V mpp. We ca ue thee value t btai the fllwig: q( Vmpp + mpp ) Vmpp + mpp (5) mpp = ph exp p The pwer traferred t the lad ca be expreed a P = V (6) We ca etimate the dide quality factr a: A = VT l( Ad V mpp h V mpp mpp + mpp ) l( V c Vc ) + ( V mpp c / ) (7) p = h (8) Vc Vc = ( ). exp( ) (9) AV p AV T Vc =.exp( ) () AV ph = ( + ) + (exp ) () AV p T T T A a very gd apprximati, the pht geerated curret, which i equal t, i directly prprtial t the irradiace, the iteity f illumiati, t PV cell [5]. Thu, if the value,, i kw frm the dataheet, uder the tadard tet cditi, G =W/m at the air ma (AM) =.5, the the pht geerated curret at ay ther irradiace, G (W/m), i give by: G = ( ) SC G G G () t huld be tified that, i a practical PV cell, there i a erie f reitace i a curret path thrugh the emicductr material, the metal grid, ctact, ad curret cllectig bu [6]. Thee reitive le are lumped tgether a a erie reiter ( ). t effect becme very cpicuu i a PV mdule that cit f may erie-cected cell, ad the value f reitace i multiplied by the umber f cell. Shut reitace i a l aciated with a mall leakage f curret thrugh a reitive path i parallel with the itriic device [6]. Thi ca be repreeted by a parallel reiter ( p ). t effect i much le cpicuu i a PV mdule cmpared t the erie reitace it may be igred [6] [7]. The ideality factr deted a A ad take the value betwee e ad tw (a t reach the miated characteritic) [7]. 5. PHOTOVOLTAC MODULE MODELNG A igle PV cell prduce a utput vltage le tha V, thu a umber f PV cell are cected i erie t achieve a deired utput vltage. Whe erie-cected cell are placed i a frame, it i called a a mdule. Whe the PV cell are wired tgether i erie, the curret utput i the ame a the igle cell, but the vltage utput i the um f each cell vltage. Al, multiple mdule ca be wired tgether i erie r parallel t deliver the vltage ad curret level eeded. The grup f mdule i called a array. The pael ctructi prvide prtecti fr idividual cell frm water, dut etc, a the lar cell are placed it a ecapulati f flat gla. Our cae here depict a typical cecti f 6 cell that are cected i erie [3]. The trategy f mdelig a PV mdule i differet frm mdelig a PV cell. t ue the ame PV cell mdel. The parameter are the all ame, but ly a vltage parameter (uch a the pe-circuit vltage) i differet ad mut be divided by the umber f cell. A electric mdel with mderate cmplexity [8] i hw i figure 9, ad prvide fairly accurate reult. The mdel cit f a curret urce ( ), a dide (D), ad a

5 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. erie reitace ( ). The effect f parallel reitace ( p ) i very mall i a igle mdule, thu the mdel de t iclude it. T make a better mdel, it al iclude temperature effect the hrt-circuit curret ( ) ad the revere aturati curret f dide ( ). t ue a igle dide with the dide ideality factr et t achieve the bet -V curve match. Figure9: Equivalet circuit ued i the imulati The equati (3) deribe the curret-vltage relatihip f the PV cell. V + = (exp( q ( )) ) (3) Where: i the cell curret (the ame a the mdule curret); V i the cell vltage = {mdule vltage} {N. f cell i erie}; T i the cell temperature i Kelvi (K). Firt, calculate the hrt-circuit curret ( ) at a give cell temperature (T): T = T ref [ + a ( T T ref () Where: at T ref i give i the dataheet (meaured uder irradiace f W/m ), T ref i the referece temperature f PV cell i Kelvi (K), uually 98K (5 C), a i the temperature cefficiet f i percet chage per degree temperature al give i the dataheet. The hrt-circuit curret ( ) i prprtial t the iteity f irradiace, thu at a give irradiace (G) i itrduced by Eq.. The revere aturati curret f dide ( ) at the referece temperature (T ref ) i give by the equati (5) with the dide ideality factr added: = qv c (exp( ) ) (5) The revere aturati curret ( ) i temperature depedat ad the at a give temperature (T) i calculated by the fllwig equati [8]. 3 T qe A g = ( ) exp( ( )) T T ref Tref Ak Tref Tref (6) The dide ideality factr (A) i ukw ad mut be etimated. t take a value betwee e ad tw; hwever, the mre accurate value i etimated by curve fittig [8] al, it ca be etimated by try )] ad errr util accurate value achieved. E g i the Bad gap eergy (. V (Si);. (GaA);.5 (CdTe);.75 (amrphu Si)). The erie reitace ( ) f the PV mdule ha a large impact the lpe f the -V curve ear the pe-circuit vltage (V c ), hece the value f i calculated by evaluatig the lpe d/dv f the -V curve at the V c [8]. The equati fr i derived by differetiatig the -V equati ad the rearragig it i term f a itrduced i equati (7). dv / q = Vc d qv c exp( ) (7) Where: dv d V c i the lpe f the -V curve at the V c (uig the -V curve i the dataheet the divide it by the umber f cell i erie); V c i the pecircuit vltage f cell (Dividig V c i the dataheet by the umber f cell i erie). Fially, the equati f -V characteritic i lved uig the Newt methd fr rapid cvergece f the awer, becaue the luti f curret i recurive by iclui f a erie reitace i the mdel [8]. The Newt methd i deribed a: f ( x ) x + = x f ' ( x ) (8) Where: f (x) i the derivative f the fucti, f(x) =, x i a preet value, ad x + i a ext value. V + f ( ) = (exp( q( )) ) = (9) By uig the abve equati the fllwig utput curret () i cmputed iteratively. + = V + (exp( q( )) ) q V + ( ) exp( q( )) () 6. SMULATON ESULTS The figure f -V characteritic at variu mdule temperature are imulated with the MATLAB mdel fr ur PV mdule are hw. Al, the P-V relati at variu mdule temperature are preeted. All f thee are de at variu irradiace value are itrduced. 3

6 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. Mdule Curret (A) ASE-3-DGF Phtvltaic Mdule -V Curve C 5 C 5 C Figure : V curve at (KW/m ;, 5, 5, 75 C) Mdule Curret (A) ASE-3-DGF Phtvltaic Mdule -V Curve C 5 C 5 C Figure : V curve (.75 KW/m ;, 5, 5, 75 C) Mdule Curret (A) ASE-3-DGF Phtvltaic Mdule -V Curve C 5 C 5 C Figure : V curve (.5 KW/m ;, 5, 5, 75 C) Mdule Output Pwer (W ) ASE-3-DGF Phtvltaic Mdule P-V Curve C 5 C 5 C Figure 5: P V curve (.75KW/m ;, 5, 5, 75 C) Mdule Output Pwer (W ) ASE-3-DGF Phtvltaic Mdule P-V Curve C 5 C 5 C Figure 6: P V curve (.5KW/m ;, 5, 5, 75 C) M dule O utput P w er (W ) ASE-3-DGF Phtvltaic Mdule P-V Curve C 5 C 5 C Figure 7: P V curve (.5KW/m ;, 5, 5, 75 C) Mdule Curret (A) ASE-3-DGF Phtvltaic Mdule -V Curve C 5 C 5 C Fially, a et f 3 D figure are prped t cver the mt prbable ituati at variu irradiace, variu temperature with the curret, the vltage, ad the pwer. Thee urface face relati will be cidered later a the learig r traiig data fr the geeral eural etwrk imulati Figure 3: V curve (.5 KW/m ;, 5, 5, 75 C) Mdule Output Pwer (W ) ASE-3-DGF Phtvltaic Mdule P-V Curve C 5 C 5 C Figure : P V curve at (KW/m ;, 5, 5, 75 C) rradiace (kw /m) Figure 8: Vltage & Temp.&(KW/m ) rradiace

7 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. rradiace (kw /m) Mdule Pwer (Watt) Figure 9: Pwer & Temp.&(KW/m ) rradiace 8 rradiace (kw/m) Mdule Curret (A) Figure 3: Curret & Temperature&(.75KW/m ) 6 8 rradiace (kw /m ) Mdule Curret (A) Figure : Curret & Temp.&(KW/m ) rradiace rradiace (kw /m) Figure : Vltage & Temperature&(.75KW/m ) rradiace (kw/m) Mdule Pwer (Watt) Figure : Pwer & Temperature&(.75KW/m ) rradiace (kw/m) Figure : Vltage & Temperature&(.5KW/m ) rradiace (kw/m) Mdule Pwer (Watt) 5 Figure 5: Pwer & Temperature&(.5KW/m ) rradiace (kw/m) Mdule Curret (A) Figure 6: Curret & Temperature&(.5KW/m ) rradiace (kw/m) Figure 7: Vltage & Temperature&(.5KW/m )

8 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. rradiace (kw/m) Mdule Pwer (Watt) Figure 8: Pwer & Temperature&(.5KW/m ) prduce a utput, which i the cmpared t the traiig patter. f there i a differece, the cecti weight are altered i uch a directi that the errr i decreaed. After the etwrk ha ru thrugh all the iput patter, if the errr i till greater tha the maximum deired tlerace, the ANN ru thrugh all the iput patter repeatedly util all the errr are withi the required tlerace [], []. B. Data Cllecti, Aalyi ad Prceig rradiace (kw/m) Mdule Curret (A).5 Figure 9: Curret & Temperature&(.5KW/m ) The eural etwrk ha the ability t deal with all previu relati a urface r mappig face, due t thi techique ability fr iterplati betwee pit with each ther ad al curve. 7. ATFCAL NEUAL NETWOKS (ANNS) TECHNQUE A ANN cit f very imple ad highly itercected prcer called eur. The eur are cected t each ther by weighted lik ver which igal ca pa. Each eur receive multiple iput frm ther eur i prprti t their cecti weight ad geerate a igle utput which may prpagate t everal ther eur [9]. Amg the variu kid f ANN that exit, the Back-prpagati learig algrithm ha becme the mt ppular ued methd i egieerig applicati. t ca be applied t ay feed-frward etwrk with differetiable activati fucti [], ad it i the type f etwrk ued i thi paper. A. Fudametal f Neural Netwrk The ANN mdelig i carried ut i tw tep; the firt tep i t trai the etwrk, wherea the ecd tep i t tet the etwrk with data, which were t ued fr traiig. t i imprtat that all the ifrmati the etwrk eed t lear i upplied t the etwrk a a data et. Whe each patter i read, the etwrk ue the iput data t 6 8 Quality, availability, reliability, repeatability, ad relevace f the data ued t develp ad ru the ytem i critical t it ucce. Data prceig tart frm the data cllecti ad aalyi fllwed by pre-prceig ad the feed t the eural etwrk. C. Netwrk Structure Deig Thugh theretically there exit a etwrk that ca imulate a prblem t ay accuracy, there i eay way t fid it. T defie a exact etwrk architecture uch a hw may hidde layer huld be ued, hw may uit huld there be withi a hidde layer fr a certai prblem i a paiful jb. ) Number f Hidde Layer Becaue etwrk with tw hidde layer ca repreet fucti with ay kid f hape, there i theretical rea t ue etwrk with mre tha tw hidde layer. geeral, it i trgly recmmeded that e hidde layer be the firt chice fr ay feed-frward etwrk deig [9- ]. ) Number f Hidde Uit (de) Ather imprtat iue i deigig a etwrk i hw may uit t place i each layer. Uig t few uit ca fail t detect the igal fully i a cmplicated data et, leadig t uder fittig. Uig t may uit will icreae the traiig time, perhap much that it becme impible t trai it adequately i a reaable perid f time. The bet umber f hidde uit deped may factr the umber f iput ad utput uit, the umber f traiig cae, the amut f ie i the target, the cmplexity f the errr fucti, the etwrk architecture, ad the traiig algrithm. The bet apprach t fid the ptimal umber f hidde uit i trial ad errr. 6

9 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. 3) itializig Back-Prpagati feedfrward etwrk Back-prpagati i the mt cmmly ued methd fr traiig multi-layer feed-frward etwrk. Fr mt etwrk, the learig prce i baed a uitable errr fucti, which i the miimized with repect t the weight ad bia. The algrithm fr evaluatig the derivative f the errr fucti i kw a back-prpagati, becaue it prpagate the errr backward thrugh the etwrk. ) Traiig the etwrk Traiig ccur accrdig t ay traiig fucti a previu ad we mut decide the traiig parameter with their default value: The rder ued fr traiig i fr example [et, tr] = trai (et, p, t) where p, t i the iput ad utput which are rmalized 5) Netwrk imulati T btai the utput f the etwrk, we mut imulate it the rder, which ca be ued, i a = im (et, p); where a: i the etwrk but rmalized if we wat t u - rmalize it we ue thi rder a = pttd (a, meat, tdt). T Perfrm a liear regrei betwee the etwrk repe the target, ad cmpute the crrelati cefficiet ue the rder ( value betwee the etwrk repe ad the target). [m, b, r] = ptreg (a, t) [Matlab\ tlbx]; where a, t are the etwrk utput ad deired r actual utput ad retur, M - Slpe f the liear regrei; B - Y itercept f the liear regrei; - egrei -value. = mea perfect crrelati. 6) Weight ad Bia The weight ad bia, ca be btaied frm traiig data by the rder; Net.iw {, } fr the weight frm iput layer t hidde layer; Net. {b} bia t a hidde layer Net.lw {, } fr the weight frm hidde layer t utput layer; Net. {b} bia t utput layer frm a hidde layer 7) Tetig the etwrk At firt the data fr tetig maily the iput ad the utput frm the etwrk i prepared ad the i cmpared with the deired r actual utput t tet the ability f the etwrk by uig the ame iitialized etwrk. [p, meap, tdp, t, meat, tdt] = pretd (p, t) et = trai (et, p) ; a = im (et, p); [a] = pttd (a, meat, tdt); [m, b, r]=ptreg (a, t) where: p, t are tetig data, a: i rmalized utput, a: u- rmalized utput 8) Derived mathematical equati Fially mathematical equati ca be derived [3], i rder t be ued i future t calculate the utput frm the iput data withut eedig t ctruct a eural etwrk by uig the weight ad bia accrdig t activati ad trafer fucti a whe uig {lgig 'pureli} a i thi paper, the ext equece have t be fllwed - Nrmalize the iput data a hw previu. - Calculate um f xi*w {i, j} +b {i} = hi fr each de i hidde layer where: xi: i the iput variable, hi: i a hidde layer iput frm iput layer w {i, j},b {i} are btaied befre, Net.iw{,} Net.b{} 3- Calculate the utput frm each de i hidde layer t utput layer (Fi) accrdig t trafer fucti here i lgig Fi =/(+exp(-hi) - Calculate the um f utput frm hidde layer t utput layer hi =Fi *Net.lw{,}+Net.b{} 5- Calculate the required utput accrdig t trafer fu. here i pureli [Matlab/tlbx] utput (yi) = hi accrdig t umber f the required utput 6- U rmalized y t btai the utput = y*tdt + meat...t btai the actual value 8. ANN PV MODULE MODEL WTH TS EGESSON FUNCTON Thi mdel ue the previu techique which ued ad verified befre i the field f reewable eergy like i [-7]. Thi mdel ue the previu 3D graph illutrated befre a traiig r learig data fr iput ad deired target. The iput i thi mdel are the rradiace ad Temperature; the utput are: Mdule Vltage, Curret, ad Pwer. Thi mdel with it hidde ad utput layer uitable eur umber i depicted i figure 3. Al, the geeral eural etwrk, ad traiig tate are preeted i figure 3, ad 3 repectively. 7

10 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. Figure 3: ANN PV Cell Mdule Mdel Figure 3: Neural Netwrk E5 = 6.35 G +.353T F5 = / (+ exp (- E5)) E6 = -.6G T F6 = / (+ exp (- E6)) E7 =.8 G +.37 T F7 = / (+ exp (- E7)) E8 =.653G.9 T F8 = / (+ exp (- E8)) E9 =.37 G.8735T F9 = / (+ exp (- E9)) The rmalized utput are: (7) (8) (9) (3) (3) V =.66 F +.8 F +.66 F3.3 F.7 F F F7 +.9 F8 -.7 F (3) = 6.97 F +.55 F +.88 F F F F F F F (33) P = 7.9 F +.78 F +.6 F F F F F F F (3) Figure 3: Traiig State The rmalized iput G : (Nrmalized rradiace); T : ( Nrmalized Temperature) are a fllw: G = (G -.65) / (.797) () T = (T ) / ( ) () Equati () ad () preet the rmalized iput fr irradiace ad temperature, al the fllwig equati lead t the required derived utput equati. E= -.388G.8968T F= / (+ exp (- E)) E =.8336 G. T F = / (+ exp (- E)) E3 = G 9.67T F3 = / (+ exp (- E3)) E = -.696G 9.75T F = / (+ exp (- E)) (3) () (5) (6) The u- rmalized ut put V = 5.6 V (35) = (36) P = P (37) 9. CONCLUSONS Thi paper preet a imple but efficiet phtvltaic mdelig trial fr bth pecific ad geeral e. t mdel each cmpet ad imulate them uig MATLAB. The reult hw that the PV mdel uig the equivalet circuit i mderate cmplexity prvide gd matchig with the real PV mdule. Simulati are baed Schtt ASE-3-DGF PV pael a a practical e. A -pecific mdelig ad imulati at mre prbable ituati fr variable value f temperature ad irradiace are preeted. The imulati reult at each irradiace value with variu temperature value ad crrepdig characteritic are well depicted i 3-D figure. ANN i ued fr the prped rage f irradiace ad temperature a mdel iput, with the crrepdig value f vltage, curret, ad pwer a utput with it algebraic equati. Thi eural etwrk uit i implemeted, uig the back prpagati (BP) learig algrithm due t it 8

11 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. beefit t have the ability t predict value i betwee learig value, al make iterplati betwee learig curve data. Thi i de with uitable umber f etwrk layer ad eur at miimum errr ad precie maer.. ACKNOWLEDGEMENT wuld like t thak M. Shaza M. Abd Al Meem fr her effrt i thi reearch editig. EFENCES: [] Ali Keyhai, Mhammad N. Marwali, ad Mi Dai, "tegrati f Gree ad eewable Eergy i Electric Pwer Sytem," Wiley, Jauary [] Ali Keyhai, "Cyber-Ctrlled Smart Micrgrid Sytem f the Future: The High Peetrati f eewable ad Gree Eergy Surce", New eearch Directi fr Future Cyber-Phyical Eergy Sytem, Sherat Baltimre City Ceter Htel Baltimre, Marylad, Jue 9 [3] Ali Keyhai, Ji-W Jug, Mi Dai, "Ctrl f eewable Eergy Surce i Smart Grid Sytem," Smart Grid Africa,8-3 July 8, Jhaeburg, Suth Africa [] [..], \Tred i phtvltaic applicati. urvey reprt f elected iea cutrie betwee 99 ad 6. [5] T. Markvart ad L. Cataer, Practical Hadbk f Phtvltaic, Fudametal ad Applicati. Elevier, 3. [6] Larmiie, J., ad Dick, A.. Fuel Cell Sytem Explaied, d Ed., Jh Wiley &S, New Yrk, 3. [7] She, J. "Emergig Eablig Techlgie i Vehicular Pwer Electric." Prceedig f the 3rd Aual Summer Wrkhp f the NDA telliget Vehicle Sympium,. [8] Ctamaga, P., ad Sriivaa, S. "Quatum jump i the PEMFC iece ad techlgy frm the 96 t the year : Part. Fudametal ietific apect." Jural f Pwer Surce,, pp. -5,. [9] Ahluwalia,., Wag, X., Laher, S., Siha, J., Yag, Y., ad Sriramulu, S. "Perfrmace f autmtive fuel cell ytem with atructured thi film catalyt." Prceedig f the 7 Fuel Cell Semiar ad Expiti, Sa Ati, TX, 7. [] Meimei Gu, Baiju Liu, Lg Li, Chag Liu, LifegWag, Zhehua Jiag, Preparati f ulfated ply(ether ether kete) ctaiig ami grup/epxy rei cmpite membrae ad their i itu crlikig fr applicati i fuel cell, Jural f Pwer Surce 95 () [] Tauqir A. Sherazi, Michael D. Guiver, David Kigt, Shujaat Ahmad, M. Akram Kahmiri, Xizhg Xue, adiati-grafted membrae baed plyethylee fr direct methal fuel cell, Jural f Pwer Surce 95 () 9 [] Xiu Qig Xig, KahWai Lum, Hee J Ph, Ya LigWu, Optimizati f aembly clampig preure perfrmace f prtexchage membrae fuel cell, Jural f Pwer Surce 95 () 6 68 [3] Schtt ASE-3-DGF PV pael data heet. Surce (Affrdable Slar webite) lar.cm/admi/prduct_dc/dc_pd--9- c_ae_3_83866.pdf [] Mater, Gilbert M. eewable ad Efficiet Electric Pwer Sytem Jh Wiley & S Ltd, [5] Meeger, ger & Jerry Vetre Phtvltaic Sytem Egieerig d Editi CC Pre, 3 [6] Catañer, Lui & Satiag Silvetre Mdellig Phtvltaic Sytem, Uig PSpice Jh Wiley & S Ltd, [7] [Gree, Marti A. Slar Cell; Operatig Priciple, Techlgy, ad Sytem Applicati Pretice Hall c., 98 [8] Walker, Geff. Evaluatig MPPT cverter tplgie uig a MATLAB PV mdel Autralaia Uiveritie Pwer Egieerig Cferece, AUPEC,Bribae, [9] TT Chw, Zhag GQ, Li Z, Sg CL.: Glbal ptimizati f abrpti chiller ytem by geetic algrithm ad eural etwrk. Eergy Buildig ;3:3 9. [] SA Kalgiru Applicati f artificial eural etwrk i eergy ytem: a review, Eergy Cver Maage 999; : [] SA. Kalgiru Applicati f artificial eural etwrk fr eergy ytem, Appl Eergy ; 67:7 35. [] SA. Kalgiru Lg-term perfrmace predicti f frced circulati lar dmetic water heatig Sytem uig artificial eural etwrk, Appl Eergy ; 66:

12 Jural f Theretical ad Applied frmati Techlgy 5 - JATT. All right reerved. [3] Arzu Seca, Kemal A.Yakut, Steri A.Kalgiru Thermdyamic aalyi f abrpti ytem uig artificial eural etwrk, eewable Eergy, Vlume 3, iue, Ja. 6, page 9 3. [] A. El Shahat, Geeratig Baic Sizig Deig egrei Neural Fucti fr HSPMSM i Aircraft EP-7, 3th teratial Cferece Aerpace Sciece & Aviati Techlgy, May 6 8, 9, ASAT 9 Military Techical Cllege, Cair, Egypt. [5] El Shahat, A ad El Shewy, H, Neural Uit fr PM Sychru Machie Perfrmace mprvemet ued fr eewable Eergy, ef: 93, The Third Ai Sham Uiverity teratial Cferece Evirmetal Egieerig (Aee- 3 ), April -6 9, Cair, Egypt. [6] A. El Shahat, ad H. El Shewy, Neural Uit fr PM Sychru Machie Perfrmace mprvemet ued fr eewable Eergy, Paper ef.: 9, Glbal Cferece eewable ad Eergy Efficiecy fr Deert egi (GCEEDE9), Amma, Jrda. [7] A. El Shahat, ad H. El Shewy, PM Sychru Mtr Ctrl Strategie with Their Neural Netwrk egrei Fucti, Jural f Electrical Sytem, Vl. 5, ue, Dec. 9.