ΒΕΛΤΙΣΤΟΣ ΣΧΕΔΙΑΣΜΟΣ ΑΥΤΟΝΟΜΩΝ ΦΩΤΟΒΟΛΤΑΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ
1989, ΔΙΔΑΚΤΟΡΙΚΗ ΔΙΑΤΡΙΒΗ
Abstract
ΣΤΗΝ ΔΙΑΤΡΙΒΗ ΑΝΑΠΤΥΣΣΕΤΑΙ ΜΙΑ ΟΛΟΚΛΗΡΩΜΕΝΗ ΜΕΘΟΔΟΣ ΥΠΟΛΟΓΙΣΜΟΥ ΤΟΥ ΒΕΛΤΙΣΤΟΥ ΜΕΓΕΘΟΥΣ ΤΗΣ ΦΩΤΟΒΟΛΤΑΙΚΗΣ ΣΥΣΤΟΙΧΙΑΣ ΤΗΣ ΓΩΝΙΑΣ ΚΛΙΣΕΩΣ ΤΗΣ ΚΑΙ ΤΗΣ ΧΩΡΗΤΙΚΟΤΗΤΟΣ ΤΩΝ ΣΥΣΣΩΡΕΥΤΩΝ ΟΠΟΙΟΥΔΗΠΟΤΕ ΑΥΤΟΝΟΜΟΥ ΦΩΤΟΒΟΛΤΑΙΚΟΥ ΣΥΣΤΗΜΑΤΟΣ. ΜΕ ΑΦΕΤΗΡΙΑΤΑ ΜΕΣΑ ΜΗΝΙΑΙΑ ΜΕΤΕΩΡΟΛΟΓΙΚΑ ΔΕΔΟΜΕΝΑ ΚΑΙ ΧΡΗΣΙΜΟΠΟΙΩΝΤΑΣ ΕΥΚΟΛΑ ΠΡΟΣΔΙΟΡΙΣΙΜΕΣ ΠΑΡΑΜΕΤΡΟΥΣ, ΔΗΜΙΟΥΡΓΕΙΤΑΙ ΑΡΧΙΚΑ ΕΝΑ ΠΛΗΘΟΣ ΥΠΟΨΗΦΙΩΝ ΣΥΣΤΗΜΑΤΩΝ ΙΚΑΝΩΝ ΝΑ ΤΡΟΦΟΔΟΤΗΣΟΥΝ ΟΠΟΙΟΔΗΠΟΤΕ ΜΕΣΟ ΩΡΙΑΙΟ ΠΡΟΦΙΛ ΤΟΥ ΦΟΡΤΙΟΥ. ΚΑΤΟΠΙΝ ΕΠΙΛΕΓΟΝΤΑΙ ΤΑ ΣΥΣΤΗΜΑΤΑ ΠΟΥ ΕΞΑΣΦΑΛΙΖΟΥΝ ΜΙΑ ΠΡΟΚΑΘΟΡΙΣΜΕΝΗ ΑΞΙΟΠΙΣΤΙΑ ΚΑΛΥΨΕΩΣ ΤΟΥ ΦΟΡΤΙΟΥΚΑΙ ΜΕΤΑΞΥ ΤΩΝ ΤΕΛΕΥΤΑΙΩΝ ΕΠΙΛΕΓΕΤΑΙ ΩΣ ΒΕΛΤΙΣΤΟ ΤΟ ΟΙΚΟΝΟΜΙΚΩΤΕΡΟ. ΤΟ ΚΡΙΤΗΡΙΟ ΤΗΣ ΑΞΙΟΠΙΣΤΙΑΣ ΠΟΥ ΧΡΗΣΙΜΟΠΟΙΕΙΤΑΙ ΕΙΝΑΙ Η ΠΙΘΑΝΟΤΗΣ ΑΠΟΤΥΧΙΑΣ, ΤΟΥ ΣΥΣΤΗΜΑΤΟΣ LOEP (LOSS OF ENERGY PROBABILITY). Η ΟΙΚΟΝΟΜΙΚΗ ΑΞΙΟΛΟΓΗΣΗ ΓΙΝΕΤΑΙ ΜΕ ΤΗΝ ΚΥΚΛΟΒΙΟΤΙΚΗ ΚΟΣΤΟΛΟΓΗΣΗ, ΣΤΗΝ ΟΠΟΙΑ ΧΡΗΣΙΜΟΠΟΙΕΙΤΑΙ ΚΑΙ ΕΝΑ ΜΟΝΤΕΛΟ ΤΗΣ ΔΙΑΡΚΕΙΑΣ ΖΩΗΣ ΤΩΝ ΣΥΣΣΩΡΕΥΤΩΝ. Η ΠΡΟΤΕΙΝΟΜΕΝΗ ΜΕΘΟΔΟΣ, ΠΟΥ ΕΙΝΑΙ ΥΛΟΠΟΙΗΣΙΜΗ ΣΕ ΠΡΟΣΩΠΙΚΟ ΥΠΟΛΟΓΙΣΤΗ, ΧΡΗΣΙΜΟΠΟΙΕΙΤΑΙ ΓΙΑ ΤΗΝ ΕΠΙΛΟΓΗ ΤΟΥ ΒΕΛΤΙΣΤΟΥ ΜΕΓΕΘΟΥΣ ΤΟΥ ΑΥΤΟΝΟΜΟΥ ΦΩΤΟΒΟΛΤΑΙΚΟΥ ΣΥΣΤΗΜΑΤΟΣ ΠΟΥ ΚΑΛΕΙΤΑΙ ΝΑ ΚΑΛΥΨΕΙ ΤΙΣ ΕΝΕΡΓΕΙΑΚΕΣ ΑΝΑΓΚΕΣ ΜΙΑΣ ΑΠΟΜΕΜΑΚΡΥΣΜΕΝΗΣ ΚΑΤΟΙΚΙΑΣ. ΤΟ ΠΡΟΤΕΙΝΟΜΕΝΟ ΒΕΛΤΙΣΤΟ ΣΥΣΤΗΜΑ ΣΥΓΚΡΙΝΕΤΑΙ ΤΕΛΙΚΑ ΜΕ ΕΚΕΙΝΟ ΠΟΥ ΕΧΕΙ ΗΔΗ ΕΓΚΑΤΑΣΤΑΘΕΙ ΣΕ ΕΝΑ ΕΛΛΗΝΙΚΟ ΝΗΣΙ.
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- |_863 'Εθνική Μετεωρολογική 'Υπηρεσία, Μετεωρολογικά Δελτία. )=0:ED(M)=0 EE(M)=0:DUM(M)=0.V5=0 FOR 1=1 TO 24 IF IT(M,I)=0 THEN 700 GOSUB '2960 : REM CALCULATES THE MO. AVERAGE HOURLY RADIATION UTILIZABILIT GOSUB "3060 : REM CALCULATES THE ENERGY FLOW IN THE PHOTOVOLTAIC SYSTEM V5=V5+IT(M,I)*FI(M,I)
- IF MFR(M)<FR(M) THEN PRINT"INADEQUATE ARRAY(FR>MFR) M="; M:GOTO1080 Gl=(l-FR(M))*(MFR(M)-FRiM))
- A8=.695*EXP(-71.
- *G1)+1 B8=.274*G1~( . 136)
- GM=A3*TD(M)*KT(M)/(B8+TD(M)*KT(M1) Λ 2 CEF(M)=:GM*LT(M)/NB
- 'IF BEF<CEF(M) THEN BEF^CEF(M) 87,0. FS(M) = (FR(M)-F0{M
- /NINV , , .. ,
- FOR M-l TO 12 960 GOSUB 3150 : REM CALCULATES THE LOSS OF ENERGY PROBABILITY 970 YREL=YREL+LOEP(M) 980 IF YREL<1 THEN 1000 ; ι 990 CMD1: PRINT"YREL="YREL;"M="M:GOTO 1080 1000 DDOD=DDOD+(LT(M)-ED(M))/(12*BR) 1010 NEXT M 1020 RLI-.
- *ALI*EXP(BF*100*(DOD-DDOD)) 1030 BLI=RLI/365 1040 IF (EL/BLI-INT(EL/BLI
- DIM KT(12),H(12),HT(12),HC(12),DA(12),DPM(12),ΚΙ(24),IH(24),IT(12,24) 1160 DIM TD(12),PR(26,5),HS(26),MI(26),SIG(12) 1170 DIM TM(12),TC(12),AO(12),N(12),FI(12,24),F(12),XM(12,24) 1180 DIM L(12,24),LT(12),DL(12),XEI(24),KA(24),LPL(12) 1190 DIM E1(12,24),E2(12,24),E4(12,24),EA(12),EB(12),EC(12),ED(12),EE(12) 1200 DIM F0(12),D0(12),FS(12),FR(12),MFR(12),EFF(12),CEF(12),LOEP(12) 1210 DIM DUM(12),NPV(12),UN(12i 1220 RETURN 1230 REM''##«##1i1i#«#«tftf1itt#1i«#######«tt#Siii*it#iiitii<ili«*r«iiliiiit}il*#iiiii}ii4iifit«ttitiiittf4iiiiiii4iii1 1240 REM SUB INPUT DATA 1250 CMD1 1260 PI=3.14159265 1270 GSC=1353 :REM[W/M~2] 1230
- REM #}i##i 1290 READ LD,P 1300 DATA 36.00, .2 1310 PRINT"APPLICATION:REMOTE HOUSE","LOCATION :ANTIKYTHIRA" 1320 REM H(WH/M"2/DAY),TM(DEG.C),AO(DEG.) 1330 FOR M=l TO 12 READ H(M),TM(M),AO(M),DA(M),DPM(M) NEXT M DATA 2032,13.5,29,17,31 1370 DATA 2679,13.8,18,47,28 NEXT J2 ' 1520 NEXT Jl DATA .0, .073, .162, . 245, . 299 ,'. 395, .496, .513, .579, .628, .687, .748, .793, .82 DATA.861,.904,.936,.953,.967,.979,.986,.993,.995,.998,.998,1.0 DATA.O,.015,.070,.129,.190,.249,.293,.346,.379,.438,.493,.545,-601,.654 DATA.719,.760,.827,.888,.931,.967,.981,.997,.999,.999,1.0,1.0 DATA.O, .001, .023, .045, .082, .121, .160,.194,.234, .277, . 323, .358, .400, .460 DATA.509,.614,.703,.792,.873,.945,.980,.993,1.0,1.0,1.0,1.0 DATA.O, .0, .008, .021, . 039, .053, .076, .101, .126, .152, .191, .235, .269, .310 DATA.360,.410,.467,.538,.648,.758,.884,.945,.985,.996,.999,1.0 1610 DATA.O, .0, .0, .007, .007, .007, .007, .013, .013, .027, .034, .047, .054, .081 DATA.128, .161, .228 , . 295 , .517, .678, .859, .940, .980,1 . 0 , 1.0,1. 0
- C),TNI(DEG.C),TA(DEG.C),GTN(KW/M"2),VIMA(M"2)
- READ AZ,NR,TR,BT,TNI,GTN,TA,ND,VIMA ' Ï980 DATA 0, .11', 20,' .004,43/1.'0! 20,0. 9', .782 NB,BF,ALI DATA .8,.8,.03,800
- READ NWR,NMIS,NCH,NINV DATA .97, .95, .99, .
- READ CA,CB,CS,CC,CVR,CI,CW,CH,CP,CL DATA 15,200,.2,.7,850,0,700,0,0,0
- -, 2,080 READ EL,EOM,GI,DR , 2090 DATA 20, .12, .15, .17 } 2110 FOR M=l TO 12 2120 IF M>1 THEN 2160 2130 PRINTSPC(1)"M"SPC(5)"H(WH/M~2/D.)"SPC(11)"TM(C.)"SPC(14)"LT(WH/DAY)" 2140 PRINT" _ -_• 2150 PRINT" " 2160 FRINTMSPC(5)Η(M)SPC(15)TM(M)SPC(15)LT(M) 2170 NEXT M 2180 PRINT"LATITUDE="LD"DEG"SPC(5)"GROUND REFLECTANCE="Ρ"(-)"SPC(5);
- PRINT"AZIMUTH="AZ"DEG";SPC(5)"ARRAY REFER.EFFIC.="NR"(-) AT TR="TR"(C. 2200 PRINT"INOCT="TNI"(C) AT GTNOCT="GTN"(KW/M"2) AND TANOCT="TA"(C)", 2210 PRINT"TEMPERATURE COEFFICIENT OF CELL EFF.="BT"(1/C)" 2220 PRINT"AVERAGE BATTERY EFFICIENCY="NB"(-)","MAXIMUM ALLOWED DOD="DOD"(- 2230 PRINT-ARRAY WIRING EFF.="NWR"(-)","MISMATCH EFF.="NM1S"(-)", 2240 PRINT-CHARGER EFF.="NCH"(-)","CABLING EFF.="NINV"(-)" 2250 RETURN 2260 REM"#1ltttttì«#4*tftt^ii#liii^#«ii«#iili#ii«<i«#ftii«if#«1iiitìiitì#1iiiii««iililitìiiiiitliiitfiioitlittli«tì«}ii 2270 REM SUB MONTHLY AVERAGE PHOTOVOLTAIC ARRAY EFFICIENCY 2280 SBEL=LD+AO(M) 2290 FA=1-1.17E-4*(SBEL-SD)~2
- REM SUB MONTHLY AVERAGE HOURLY SOLAR RADIATION ON THE PHOTOVOLTAIC ARRi 2370 W=15*(T-12)*FI/180 2330 W1=15*(T-12.
- *PI/180 2390 W2=15*(T-11.
- *PI/180 2400 IF W1<(-WS) OR W2>WS THEN2590 2410 A3=12/PI*GSC*(l+.033*COS(2*PI*DA(M)/365i) 2420 B3=COS(LAi*COS(D)*(SIN(W2)-SIN(Wn)+(W2-W1
- = COS(D)*SIN(LA)*SIN(SA)*COS'(GAj*COS(W)+COSlD)*SIN(SA)*SIN(GA)*SIN(W) B4=A4+A5 + A6 . • • • . ' . B5^SIN(D)*SIN(LA)+COS(D)*COS(LA)*COS(W) RB=B4/B5 IF RB<0 THEN RB=0 R=(l~DI)*RB+DI*(l+COS(SA))/2+P/2*(l-COS(SA))
- IT(M,I)=R*IH(I) XM(M,I)-1.85+.169*R/KI(I)~2-.
- *COS(SA)/ia(I)-2-.
- *KI(I)/COS(Dr2 GO TO 2600 IT(M,I)=0 RETURN REM"#tì»it«tf«tt#tftf#«4iii«tt«tf«tf«tt4iii#it«tt«lt«««i*ii«tfii#1i«ii#iiitiflt##«rf*iii1l#fttf«tf«1i4iil#it: REM SUB STANDARD DEVIATION OF THE" DAILY INSOLATION ON THE TILTED ARRAY A2=-TAN(LA-SA)*TAN(D) WT=PI/2-ATN(A2/SQR(l-A2"
- ZN=(HT(M)~HC(M)*BC*HC(M)/(N1-
- *SQR(N1-1)/SIGfM) 3300 IF ZN<2 THEN 3320 3310 YN=FN G2(ZN):GOTO 3330 3320 YN = FN L2(ZN) 3330 PN=.5-YN
- Y2 = FN G2(Z2)-GOTO 3380 3370 Y2-FN L2(Z2) 3380 P2=.5-Y2
- ATH=ATH+(P2~PN) 3400 IF N1>NN THEN 3420 3410 Nl=Nl+l:GOTO 3290 3420 K1=HC(M)*Z1/SIG(M)
- 3440 BH=Zl'2*(K2+SQR(K2'2+4/PI))
- L0EP(M)=P1*(ATH>EXP(-BC*K-1 )*(1-EXP(-Kl
- *EXP(-K2~2 )
- /
- PRINTSPC(1)"M"SPC(5)"KT(-)"SPC(14)"HT(WH/M"2/D.)"SPC(9)"HC(WH/M"2/D.)"; PRINTSPC(9)"EA/LT(-)"SPC(14)"EB/LT(-)"SPC(14)"ED/LT(-)"
- PRINT" 3690 PRINT"-τ- ' , 3700 PRINTM;KT(M),HT(M'),HC(M),EA(M)/LT(MÌ ,EB(Mj/LT(M) ) ED(M)/LT(M) 3710 NEXT M 3720 FOR M=l TO 12 3730 IF M>1 THEN 3780
- PRINTSPC( 1 ) "M"SPC(2 ) "SIG(WH/M"-2/D. ) "SPC( 11 ) "MFR(-) "SPC( 14 ) "LOEP(-) "
- PRINTSPC(15)"DUM/LT(-)"SPC(15)"NPV(-)"SPC(15)"CEF(WH)" 3760 PRINT" 3770 PRINT" 3780 PRINTM;SIG(M),MFR(M),LOEP(M),DUM(M)/LT(M),NPV(M),CEF(M) 3790 NEXT M 3300 PRINT"BEF="BEF; "YREL="YREL; "LEC="LEC; "DDOD="DDOD; , 'BLI = "BLI; "RNO="RNO 3810 RETURN READY. ' ' ' ! I=T+0.5 Wrl5*(T-12)
- *PI/180
- *PI/180 W2=15*(T-11.5)*PI/180
- IF WK(-WS) OR V?2>WS THEN 680 IF HOl AND M<>7 THEN 460 460 A3=12/PI*GSC*(1+.033*COS(2*PI*DA(M)/365))
- TO 26
Soras Constantine