Performance Analysis of Parabolic Trough Collector

Size: px

Start display at page:

Download "Performance Analysis of Parabolic Trough Collector"

Giles Hampton
5 years ago
Views:

1 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET) Prformn Anlyi of Prboli Trogh Colltor Y. K. Nyk #1, U. K. Sinh #2, P. Kmr *3, N.Kmr # # Eltril nd Eltroni Enginring Dprtmnt, Ntionl Intitt of Thnology, Jmhdpr, Jhrkhnd 83101, Indi @nitjr..in 2 kinh.@nitjr..in 2013pgphd01@nitjr..in * Mhnil Enginring Dprtmnt, Ntionl Intitt of Thnology Jmhdpr, Jhrkhnd 83101, Indi 3 pkhmdm@gmil.om Abtrt Prformn vltion of prboli trogh olltor hv bn tdid on th bi of mthmtil nlyi of vrio prmtr. Mthmtil xprion hv bn dvlopd for th modl to imlt th rlt of prformn vltion ing C progrm. On th bi of imltd rlt, vrition of ffiiny, ht rmovl ftor, otlt flid tmprtr fntion of dimnionl inoltion for fixd nd vribl rditiv lo prmtr nd thrml lo prmtr. Otlt flid tmprtr fntion of m flow rt for fixd vl of rditiv nd thrml lo prmtr hv bn tdid. Th fft of thrml nd rditiv lo prmtr hv bn tdid for vrition of th diffrn of otlt nd inlt flid tmprtr gint dimnionl inoltion. Kyword Prboli trogh olltor, Ht rmovl ftor, Dimnionl inoltion, Rditiv nd thrml lo prmtr, Otlt nd inlt flid tmprtr I. INTRODUCTION Th thor drib th nlytil pproh to imlt th vrio prt of olr thrml powr plnt. A impl C progrm, bd on tht mthmtil modl, n b bilt p to obtin ttitil rlt ndr th prtilr ondition rognizd by th r. Th firt prt of th tion nly th onvrion of olr to thrml nrgy hown in Fig. 1. Th ytm onit of olr olltor nd torg dvi tht pply thrml nrgy to lod, whih i inpt to th ht ngin for th olr drivn powr gnrtion. Th mot fl olr thrml dvlopmnt h bn th linr SEGS plnt dvlopd nd intlld by LUZ Intrntionl Limitd btwn 198 nd 1990 lotd in Cliforni. Prboli Trogh Colltor thnology h tblihd it pity to driv ommril powr plnt [1]. A vrity of prodr to llt th proprty of th oprtionl bhvior of olr olltor n b fond in th thnil litrtr. Milton t l. [2] tdid modling th bhvior of olr powr plnt with th prboli linr olltor i mot ntil dign nd optimiztion tool tht n pproh vrity of ittion. Ybr t l. [3] dvlopd th dign of dvnd ontrol ytm to optimiz th gnrl prformn of prboli trogh olltor, olr plnt with dirt tm gnrtion i tody high-priority lin of rrh. Thy dvlopd th gidlin for dynmi modl nd ontrol ytm dign for h typ of plnt. Th xprimntl nd prditd vl wr omprd nd did. Th of th hng of borbr tb tmprtr on borbr miivity in th LUZ ytm w rportd by Lippk []. Th inr of miivity with tmprtr h min on olltor thrml lo nd olltor fftivn. A dirt tm gnrtion (DSG) olltor h lo bn propod ftr gnrtion of th LUZ typ trogh olltor by Cohn nd Krny [5]. Thi rrngmnt h th dvlopmnt of limint th xpniv ynthti oil, intrmdit ht trnport piping loop nd oil to th tm ht xhngr. Fridnrih t l. [6] dvlopd lod form oltion tht nbl to timt th profil of th borbr tmprtr; flid tmprtr nd powr dlivr nxt to prboli linr fo olltor. Anlytil modling of olr powr plnt with prboli linr olltor w d bi for th dvlopmnt of od implmntd by Jon t l. [7] in th TRNSYS thrml imltion oftwr. hning t l. [8] lo d modl bd on prvio work. Pri [9] dvlopd omptr modl tht ombin n invtigtion of th prformn of prboli trogh olr powr plnt with it ot nd onomi prmtr. Th modl w bl to propo Rnkin yl prboli trogh plnt, with or withot thrml torg nd foil fl pport. Th bt bln btwn th oprtionl prformn nd ot of th plnt w did. Forritll [10] ggtd tht th thrml lo of olltor r trtd with rgrion rv obtind from th dtild modl nd xprd tility of th flid tmprtr. Th diffrnt prt of th olr powr ttion i trtd with grt dtil, vn thogh, omtim, it i diffilt to find ot th xt modling hypothi inldd in th imltion oftwr. DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

2 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET) Th fl olr nrgy olltd by olr olltor II. USEFUL THERMAL ENERGY t i inflnd by thr mjor ftor: Th bility of th borbing lmnt to borb th vilbl inoltion tht i inidnt on th lmnt ftr bing rfltd from or trnmittd throgh othr olltor omponnt. Th mgnitd of th thrml lo d to onvtion to th mbint ir, nd Th mgnitd of thrml lo d to rditiv xhng with th rronding. Th fl olr nrgy n b xprd mthmtilly : t q t A q t A U A T T A T T 1 (Th bl nrgy olltd = Enrgy Aborbd-Convtiv lo-rditd lo) In thi rltion, i th frtion of th inoltion triking th olltor prtr tht i borbd by th borbing lmnt of th olltor, nd ont for ll lo b of th ovr plt, rfltor, ln or othr optil lmnt in th prboli olltor. Th trm q t A t rprnt th intntno inoltion pr nit of prtr r triking th olltor prtr, q t rprnt th tim nd th olltor prtr r, A. Th, th firt trm on th right of th qtion (1) i th olr nrgy borbd by th borbing lmnt of th olltor. Th ond trm on th right of th qtion (1) rprnt lo d to onvtion nd ondtion from olltor in trm of vrg ovrll ht-trnfr offiint U tim th borbing lmnt r A tim th diffrn btwn th vrg borbr rf tmprtr T nd th mbint tmprtr T. Both T nd T my b tim-dpndnt. Th third trm on th right of th qtion (1) ont for th xhng of infrrd rdition btwn th olltor nd rronding. A mr of th olltor prformn i th rtio of th fl olltd nrgy t to th vilbl inidnt nrgy t A nd xprd mthmtilly : q t t A In dimnionl form q t t A q known olltor ffiiny 1/ q t A U A T T A T T 2 t b 3 1 To implify th nlyi, it i dirbl to pt n qtion (3) in trm of dimnionl, flid inlt tmprtr T T rthr thn in trm of th vrg dimnionl rf tmprtr. If th rltionhip of th form F fi fi R 1 b fi fi b t t A md, thn th qtion (3) bom in dimnionl form F R q In dimnionl form FR T T A T T 5 1 U A fi fi t A t b 6 1 fi fi Th F R rlt th vrg olltor tmprtr to th mor ily mrd flid inlt tmprtr, nd th olltor ffiiny n now b fond in trm of th flid inlt tmprtr. Th nt nthlpy gin t of th flid flowing throgh th olltor i givn by t m C T T 7 Th vl of p fo fi t i rltd to th inoltion q t throgh th dfinition of olltor ffiiny by t q t A 8 DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

3 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET) nd, bf TF T F R R R T fo T fi 1 t b fi 9 m T q A 10 rf Fig. 1 Blok digrm of olr thrml onvrion ytm A pproh zro ( m tnd to zro, nr tgntion ondition), qtion (11) prdit [ing qtion (9)] tht no flow or tgntion tmprtr of th olltor i givn by T tg lo, T 1 1 tg bq b, rf q t T T Ttg T tg UA U It n b writtn in trm of thrml flid tmprtr t th olltor ntrn T fo T, q t A T T 12 fi nd t th olltor xit t m C T T 13 f p fo fi III. RESULTS AND DISCUSSIONS Thrml prformn of prboli trogh olltor w prditd on th bi of imltd rlt ing C progrm for th ytm, oprting nd phyil prmtr nd proprti mployd lik T 300K, T 300K nd T 600K, ovrll ht trnfr o-ffiint, U 0. 3 to 12W / K m, trnmiivity for olr nrgy, borptivity for olr nrgy, nd 0. 85, dimnionl inoltion, t 0.2to1, Stfn 11 2 Boltzmnn Contnt, kw / m K, Flid inlt tmprtr, T fi 353K, 0.2 to1, rditiv lo prmtr vri btwn to nd thrml lo prmtr vri btwn to A. Efft of Thrml Lo Prmtr on Colltor Effiiny Fig. 2 how th ffiiny of prboli trogh olltor fntion of dimnionl inoltion for fixd vl of th rditiv lo prmtr nd vrio vl of thrml lo prmtr. Th mximm nd minimm vl of ffiini hv bn fond to 78.63% nd 53.16%, 77.51% nd 7.5%, 76.38% nd 1.91%, 75.26% nd 36.29%, nd 7.13% nd 30.66% for thrml lo prmtr , , , 0.05 nd , rptivly. DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

4 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET) η Dimnonl Inoltion b = b = b = b = 0.05 b = Fig. 2 Effiiny fntion of dimnionl inoltion B. Efft of Rditiv Lo Prmtr on Colltor Effiiny Fig. 3 how th ffiiny of prboli trogh olltor fntion of dimnionl inoltion for fixd vl of th thrml lo prmtr of nd vrio vl of rditiv lo prmtr. Th mximm nd minimm vl of ffiini hv bn fond to 79.88% nd 59.39%, 78.16% nd 50.81%, 76.5% nd 2.23%, 7.73% nd 33.65%, nd 73.25% nd 25.72% for rditiv lo prmtr of , , , nd , rptivly Effiiny of Colltor = = = = = Dimnol Inoltion Fig. 3 Efft of rditiv lo prmtr on olltor ffiiny C. Efft of Thrml Lo Prmtr on Ht Rmovl Ftor Fig. how th ht rmovl ftor fntion of dimnionl inoltion for fixd vl of th rditiv lo prmtr of nd vrio vl of thrml lo prmtr. Th minimm nd mximm vl of ht rmovl ftor hv bn fond to b to 0.925, to 0.912, to 0.898, to to nd to for , , , 0.05 nd , rptivly. DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

5 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET) Ht Rmovl Ftor Dimnionl Inoltion b= b= b= b=0.05 b= Fig. Efft of thrml lo prmtr on ht rmovl ftor fntion of dimnionl inoltion D. Efft of Rditiv Lo Prmtr on Ht Rmovl Ftor Fig. 5 how th ht rmovl ftor fntion of dimnionl inoltion for fixd vl of th thrml lo prmtr of nd vrio vl of rditiv lo prmtr. Th minimm nd mximm vl of ht rmovl ftor hv bn fond to b to 0.925, to 0.919, to 0.899, to nd to for rltiv lo prmtr of , , , nd , rptivly. Ht Rmovl Ftor Dimnonl Inoltion = = = = = Fig. 5 Efft of rditiv lo prmtr on ht rmovl ftor fntion of dimnionl inoltion E. Efft ofrditiv Lo Prmtr on Flid Otlt Tmprtr Fig. 6 how th plot of flid otlt tmprtr of prboli olltor fntion of dimnionl inoltion for diffrnt vl of rditiv lo prmtr nd fixd vl of thrml lo prmtr, b Th flid otlt tmprtr linrly inr from 350C to C t nd fixd vl of b nd thn th vl of minimm nd mximm tmprtr r C to C t , C to C t , 360.C to 38.11C t nd 363 C to 00.11C t rptivly. DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

6 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET) 10 Flid Otlt Tmprtr = = = = = Dimnionl Inoltion Fig. 6 Efft of rditiv lo prmtr of th flid otlt tmprtr fntion of dimnionl inoltion F. Efft ofthrml Lo Prmtr on Flid Otlt Tmprtr Plot hown in Fig. 7 how tht th fft of thrml lo prmtr on otlt flid tmprtr for fixd vl of rltiv lo prmtr. It h bn fond tht th otlt flid tmprtr ri from 35.12C to 38.71C, 350C to C, 355.C to 39.83C, C to 01 C nd C to 0.9C for thrml lo prmtr of , , , 0.05 nd , rptivly. Flid Otlt Tmprtr Dimnionl Inoltion b= b= b= b=0.05 b= Fig. 7 Efft of thrml lo prmtr on th flid otlt tmprtr fntion of dimnionl inoltion for = G. Efft of M Flow Rt on Otlt Flid Tmprtr Th plot hown in Fig. 8 how th otlt flid tmprtr fntion of m flow rt for vrio vl of dimnionl inoltion nd fixd vl of th rditiv lo prmtr nd thrml lo prmtr. Th mximm nd minimm vl of otlt flid tmprtr m flow rt inr from 0. 2 to 1.0kg / i fond to b C nd 31.69C for dimnionl inoltion of 0. 2, nd b nd thn th vl inr with rpt to inr in m flow rt t highr vl dimnionl inoltion. Th mximm nd minimm vl r fond to b C nd 38.57C, C nd C, C nd C, nd C nd367.15c for dimnionl inoltion of 0., 0. 6, 0. 8 nd 1. 0, rptivly. DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

7 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET) Flid Otlt Tmprtr ψ=1 ψ=0.8 ψ=0.6 ψ=0. ψ= M Flow Rt Fig. 8 Efft of dimnionl inoltion on flid otlt tmprtr fntion of m flow rt H. Efft of Thrml Lo Prmtr on Ri of Tmprtr Fig. 9 how tht th tmprtr ri t fntion of dimnionl inoltion for vrio vl of thrml lo prmtr nd fixd vl of rditiv lo prmtr. Th mximm nd minimm vl r fond to b 37.9C nd 33.75C t b nd thn th mximm nd minimm tmprtr ri r 370.1C nd C t b 0. 05, 36.83C nd 32.63C t b , C nd C t b , 35.71C nd 31.53C t b , rptivly. 390 Tmprtt Ri Dimnionl Inoltion b = b = b = b = 0.05 b = Fig. 9 Efft of thrml lo prmtr on ri of tmprtr fntion of dimnionl inoltion IV. CONCLUSION On th bi of nlytil invtigtion rrid ot in thi work in onntion with th mthmtil nlyi nd prformn vltion of prboli trogh olltor, th following onlion r drwn: 1. Th mthmtil xprion for olltor ffiiny, ht rmovl ftor nd otlt flid tmprtr hv bn dvlopd for ylindril prboli trogh olltor throgh whih th working flid flow. 2. Th plot of ffiiny fntion of dimnionl inoltion t rvl tht th ffiiny t for ll vl of thrml lo prmtr b nd inr in monotonilly inr with inr in b, dr th ffiini. Th thrml lo prmtr, b mintin th hight ffiiny vl throghot th rng of dimnionl inoltion invtigtd. Frthrmor, light fll i obrvd in th rt of inr of ffiiny t. Th mximm nd minimm ffiiny hv bn fond to b 78.63% nd 53.16% rptivly for rltiv lo prmtr ql to It i lo n tht th ffiiny inr with inr in dimnionl inoltion for ll vl of rditiv lo prmtr ' '. Th rditiv lo prmtr, , mintin th hight ffiiny throghot th rng of t invtigtd. Th inr in th rditiv lo prmtr ' ', dr th ffiiny. DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

8 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET). Th thrml lo prmtr nd rditiv lo prmtr lo fft th vl of th ht rmovl ftor of th ylindril prboli trogh olltor. It h bn fond tht th ht rmovl ftor linrly inr with t for ll vl of thrml lo prmtr. Th vl of ht rmovl ftor F R hng from to for b Th rlt how tht th ht rmovl ftor lo inr from 0.13 to 0.93 with n inr in t for nd b Th vl of ht rmovl ftor r dring with n inr in th rditiv lo prmtr. 6. Th flid otlt tmprtr T fo fntion of dimnionl inoltion plot how tht th otlt flid tmprtr inr linrly from 363 C to 00 C for nd b Th mximm vl of flid otlt tmprtr r 357 C, 362 C, 371C nd 38 C for , , , rptivly. 7. It i lo n tht th otlt flid tmprtr dr with inr in m flow rt for ll vl of t. Th tmprtr fll for fixd vl of t i n to b non-linr, th highr vl of m flow rt howing l tp fll omprd to th lowr vl of m flow rt. 8. Th mximm nd minimm vl of otlt flid tmprtr m flow rt inr from 0. 2 to 0.1kg / i fond to b C nd 31.69C for t 0.2, nd b nd thn th vl inr with rpt to inr in m flow rt t highr vl of t. Th mximm nd minimm vl of tmprtr r fond to b C nd 38.57C for t 0., C nd C for t 0. 6, C nd C for t 0. 8, C nd C for t 1, rptivly. To mmriz, it n b ttd tht th prformn of olr ltri gnrting ytm with prboli trogh olltor n b onidrbly nhnd by modifying th onfigrtion of prboli trogh olltor nd thi nhnmnt i trong fntion of th ytm nd oprting prmtr. Frthrmor, th prmtri dpndn of thrml prformn did bov bring ot lrly, th nd for jdiio hoi of th ytm nd oprting prmtr to obtin th mximm bnfit from olr thrml powr gnrting ytm. REFERENCES [1] Sn Digo Rnwbl Enrgy Grop, Potntil for Rnwbl Enrgy in th Sn Digo Rgion, Agt [2] M. M. Rolim, N. Fridnrih, nd C. Tib, Anlyti modling of olr powr plnt with prboli linr olltor, Solr Enrgy, vol. 83, pp , [3] L. J. Ybr, M. Brngl, E. Zrz, nd S. Dormido, Objt Orintd Modlling nd imltion of prboli trogh olltor with MODELICA, Mthmtil & Comptr Modling of Dynmil Sytm, vol. 1, pp. 1 11, Agt [] F. Lippk, Dirt Stm Gnrtion in th Prboli Trogh Solr Powr Plnt: Nmril Invtigtion of th Trnint nd th ontrol of On-Throgh Sytm, Jornl of Solr Enrgy Enginring, vol. 118, pp.9 1, [5] G. Cohn, nd D. Krny, Improvd Prboli Trogh Solr Eltri Sytm Bd on th SEGS Exprin, Pro. of th Annl Confrn of th Amrin Solr Enrgy Soity (Solr 9),Jn 199. [6] N. Fridnrih,J. M. Gordon, R. C. F. Lim, Improvd Soltion for Tmprtr nd Thrml Powr Dlivry Profil in Linr Solr Colltor, Solr Enrgy, vol. 61, pp. 1 15, [7] S. A. Jon, N. Blir, R. P. Pl, P. Shwrzbozl, nd R. Cbl, TRNSYS Modling of th SEGS VI Prboli Trogh Solr Eltri Gnrting Sytm, Pro. of Solr Form 2001: Solr Enrgy: Th Powr to Choo,April [8] V. hning, R. Kitnr, nd W. Ortmnn, Simltion of Prboli Trogh Powr Plnt, in 5th Cologn Solr Sympoim, 21 Jn 2001,p [9] H. Pri, A Prboli Trogh Solr Powr Plnt Simltion Modl in Intrntionl Solr Enrgy Confrn, Mrh [10] R. Forritll, Ht Trnfr Anlyi nd Modling of Prboli Trogh Solr Rivr Implmntd in Enginring Eqtion Solvr, Ntionl Rnwbl Enrgy Lbortory, NREL/TP , Otobr AUTHOR PROFILE Yogh Kmr Nyk obtind B. E. dgr in Eltril & Eltroni Enginring from Pt. Rvi ShnkrShkl Univrity, Ripr nd M. Th. dgr in Powr Sytm from NIT Jmhdpr in yr 2008 nd 2010 rptivly. H workd n Aitnt Profor in th Eltril & Eltroni Enginring Dprtmnt, CEC, Bilpr dring Jn-2011 to Sptmbr Prntly, h i pring Ph. D. from NIT Jmhdpr. Hi min r of rrh tivity i Powr Sytm, Rnwbl Enrgy nd Ht Trnfr. Dr. U. K. Sinh i n Aoit Profor in th Eltril & Eltroni Enginring Dprtmnt, Ntionl Intitt of Thnology,Jmhdpr. H hold Ph. D. dgr in Eltril Enginring nd hi rrh intrt r in th r i Rnwbl Enrgy. Dr. P. Kmr i n Aoit Profor in th Dprtmnt of Mhnil Enginring, Ntionl Intitt of Thnology, Jmhdpr. H hold Ph. D. dgr in Mhnil Enginring nd hi rrh intrt r in th r of Thrml Enginring, Rfrigrtion & Air Conditioning. DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

9 ISSN (Onlin) : Y. K. Nyk t l. / Intrntionl Jornl of Enginring nd Thnology (IJET) Nilh Kmr obtind B. Th. dgr in Eltril Enginring from Uttr Prdh Thnil Univrity, Lknow nd M. Th. dgr in Powr Sytm from NIT Jmhdpr in yr 2008 nd 2010 rptivly. H workd Snior Ltrr in th dprtmnt of Eltril & Eltroni Enginring, BBDNIIT, Lknow dring Jly-2010 to Jly Prntly, h i pring Ph. D. from NIT Jmhdpr. Hi rrh intrt inld Powr Sytm nd Rnwbl Enrgy. DOI: /ijt/2017/v9i1/ Vol 9 No 2 Apr-My

NEURO ADAPTIVE COMMAND SYSTEMS FOR ROCKETS MOVE

NEURO ADAPTIVE COMMAND SYSTEMS FOR ROCKETS MOVE Annls o th Univrsit o Criov Eltril Enginring sris No 8; ISSN 84-485 NEURO ADAPIE COAND SYSES OR ROCKES OE Romls LUNGU ihi LUNGU Avionis Dprtmnt Univrsit o Criov lt o Eltrothnis Blv Dbl No7 Criov Dolj ROANIA