Post on 11-Feb-2018
7/23/2019 Construccin de concentradores reflectores solares
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KW&- BIOCBTIZCR DC BIFBCFTZABKF
DC @CDKA TC@]CZATSZAltt}5))okjzir&zcdrasbc&fct)
KW&1&- KFTZIDSBBKF
]aza bifrtzskz bifbcftzadizcr zcgocbtizcr cr fcbcrazki c`}ocaz rs}czgkbkcr }tkbar dc nzafdcr dk-
`cfrkifcr& Oir rkrtc`ar dk}tzkbir/ ocftcr dc bzkrtao/ fi rc stkokuaf a basra dc rs gzankokdad/ }cri { }zc-
bki& Rkf c`jazni c|krtcf biocbtizcr bifrtktskdir }iz sf nzaf f`czi dc }zkr`ar dc bzkrtao dc zcgoc|kf
titao dc }cqsci cr}criz/ ,rkrtc`ar batadk}tzkbir+/ bif sf gabtiz dc zcgoc|kf dco ;3#8 oa zcgocbtkwkdad
noijao cr dco izdcf dco ;=#/ rs}czkiz a oa dc oir `ceizcr cr}ceir { fi c|}czk`cftaf dcnzadabkf bif co
}ari dco tkc`}i&Oir biocbtizcr dc bifbcftzabkf stkokuaf rkrtc`ar }tkbir zcgocbtizcr { cf aonsfir barir `s{ }aztk-
bsoazcr/ zcgzabtizcr/ }aza as`cftaz oa kftcfrkdad dc oa zadkabkf rioaz qsc rc dkzknc rijzc sfa rs}czgkbkc
zcbc}tiza qsc oa ajrizjc/ ,ocftcr Gzcrfco { ocftcr dc oqskdi+&
Biftza `a{iz rca co gosei rioaz rijzc crta rs}czgkbkc/ `cfiz rcz oa uifa fcbcrazka }aza bifrcnskz co
`kr`i cgcbti tz`kbi rijzc sf goskdi/ oi qsc rs}ifc sfa zcdsbbkf dc oar }zdkdar tz`kbar&
Rkf c`jazni a}azcbcf itzir tk}ir dc }zdkdar bi`i rif co qsc crtir biocbtizcr gsfbkifaf fkba`cf-
tc bif oa bi`}ifcftc dkzcbta dc oa zadkabkf/ ,fi rc a}ziwcbla oa dkgsra+ { qsc a}azcbcf }zdkdar }tk-
bar }iz dcgcbtir dc cfgiqsc { dkzcbbkf8 ark`kr`i a}azcbcf itzir }zijoc`ar/ bi`i5
a+ Sfa `a{iz bi`}okbabkf dc oar bazabtczrtkbar }tkbar dc oir bifbcftzadizcr/ }iz bsafti }zcbkraf dcrkrtc`ar dc izkcftabkf { rcnsk kcfti dco Rio/ qsc }cz`ktcf a}ziwcblaz ao `|k`i oa zadkabkf rioaz kf-
bkdcftc&
j+ Oa c|krtcfbka dc goseir fi crtabkifazkir cf oir goskdir qsc bkzbsoaf }iz co zcbc}tiz&
b+ Nzafdcr wazkabkifcr tafti cf oa giz`a { dkrci/ bi`i cf oar tc`}czatszar { }zdkdar tz`kbar dc oar
rs}czgkbkcr zcbc}tizar ajrizjcftcr& Oa a`}oka na`a dc bifgknszabkifcr }cz ktcf oa `afk}soabkf dc sfa
rczkc dc fscwir }az`ctzir dc dkrci&
d+ Sfa `a{iz bi`}ocekdad bif oa kftzidsbbkf dc gabtizcr }tkbir adkbkifaocr/ qsc bi`}okbaf oir ja-
oafbcr cfczntkbir&
c+ Sfa `a{iz baokdad cf oir rkrtc`ar }tkbir/ {a qsc tkcfcf qsc tzajaeaz dszaftc oaznir }czidir dctkc`}i/ oi qsc k`}okba co qsc dcjcf `aftcfcz kfaotczajocr rsr }zi}kcdadcr }tkbar biftza oa rsbkcdad/ czi-
rkf/ i|kdabkf/ bifdkbkifcr bok`tkbar/ ctb&
Tidi rti rs}ifc sf `a{iz birtc dco biocbtiz oi qsc kftzidsbc aonsfar zcrtzkbbkifcr cf rs stkokuabkf/
KW&-7>
7/23/2019 Construccin de concentradores reflectores solares
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asfqsc oa a}okbabkf dc fscwir `atczkaocr zcgocbtaftcr { `ceizar cf oir rkrtc`ar dc rcnsk`kcfti/ ocr
bifgkczcf sfa bkczta k`}iztafbka }zbtkba& Oa kftcfrkdad dc oa zadkabkf cf oar rs}czgkbkcr zcbc}tizar
}scdc oocnaz a rcz dco izdcf dc 4 a 1=== wcbcr co waoiz dc K= oi qsc }scdc k`}okbaz tc`}czatszar zcoatkwa-
`cftc cocwadar { sfa `a{iz }zcbkrkf cf oir `cbafkr`ir dc rcnsk`kcfti dco Rio { cfgiqsc cf oa rs}cz-
gkbkc zcbc}tiza/ oi qsc cfbazcbc co cqsk}i&Sf biocbtiz zcgocbtiz dc `cdka tc`}czatsza rc bi`}ifc dc dir }aztcr gsfda`cftaocr/ co bifbcftza-
diz { co zcbc}tiz& Co bifbcftzadiz cr oa }aztc dco biocbtiz qsc zcgocea ,i zcgzabta+ oa zadkabkf rioaz kfbk-
dcftc rijzc co `kr`i/ dkzknkfdioa labka co zcbc}tiz/ qsc oa ajrizjc { tzafr`ktc a sf goskdi tz`kbi qsc
bkzbsoa }iz co `kr`i&
Ao rcz co Rio oa gscftc dc cfczna/ cr `s{ k`}iztaftc bifibcz oa k`ancf dco kr`i zcgoceada rijzc co
zcbc}tiz& Co fnsoi bif co qsc co Rio rc wc dcrdc oa Tkczza cr dc a}zi|k`ada`cftc 2: { crtc dati la{ qsc
tcfczoc }zcrcftc/ ,a}aztc dc itzir }zi}kir `itkwadir }iz czzizcr dc rcnsk`kcfti { zcgoc|kf/ ar bi`i dc
oa dkr}czrkf dc oa zadkabkf }iz oa rs}czgkbkc zcgocbtiza izknkfadir }iz dcgcbtir dc gajzkbabkf/ ctb+/ a oa
liza dc dkrcaz co dk`cfrkifa`kcfti/ tafti dco bifbcftzadiz/ bi`i dco zcbc}tiz&
KW&:&- TK]IR DC BIFBCFTZADIZCR
C|krtc sfa a`}oka wazkcdad dc `cdkir qsc }cz`ktcf as`cftaz co gosei dc oa zadkabkf rioaz rijzc sf
zcbc}tiz }sdkfdirc boarkgkbaz tcfkcfdi cf bscfta sfa rczkc dc gabtizcr/ bi`i5
a+ Co qsc rcaf ocftcr i zcgocbtizcr
j+ ]iz co rkrtc`a dc `iftaec { `idcoi dc izkcftabkf
b+ ]iz oa anfktsd dc oa bifbcftzabkf dc zadkabkf qsc rif ba}abcr dc bifrcnskz
d+ ]iz oir `atczkaocr stkokuadir cf rs bifrtzsbbkf
c+ ]iz oir goskdir tz`kbir qsc rc waf a stkokuaz qsc dc}cfdcf dc rsr a}okbabkifcr/ ctb&
Sfa bazabtczrtkba gsfda`cftao dc crtir biocbtizcr cr co ooa`adi fdkbc dc bifbcftzabkfAa)Az/ qsc
cr oa zcoabkf cftzc co zca dc oa rs}czgkbkc dc ajcztsza dco bifbcftzadiz { co zca dc oa rs}czgkbkc zcbc}-
tiza& Cf oar Gkn KW&1 rc `scrtzaf tzcr rcbbkifcr dc rkrtc`ar dc biocbtizcr dc bifbcftzabkf8 cf bsao-
qskcza dc cooir rc cfgiba oa zadkabkf bif `r i `cfir fktkdcu rijzc sf zcbc}tiz qsc }scdc rcz }sftsao i
tcfcz sfa nci`ctza dctcz`kfada }iz oar bazabtczrtkbar dco bifbcftzadiz8 co fdkbc dc bifbcftzabkf
}aza biocbtizcr dc zcwiosbkf cr `sbli `a{iz qsc }aza biocbtizcr bkofdzkbir&
- Zcbc}tiz }oafi { bifbcftzadiz-zcgocbtiz }oafi&- Tkcfc sf jaei fdkbc dc bifbcftzabkf/ kfgczkiz a 48 rc
a}ziwcbla cf co zcbc}tiz }aztc dc oa bi`}ifcftc rioaz dkgsra kfbkdcftc rijzc co biocbtiz&- Zcbc}tiz bkofdzkbi { bifbcftzadiz-zcgocbtiz bfkbi&- Rc `ceizaf oar bazabtczrtkbar dc bifbcftzabkf
dco bari aftczkiz
-Zcbc}tiz bkofdzkbi { bifbcftzadiz-zcgocbtiz crgzkbi&- Rc `ceizaf oar bazabtczrtkbar dc bifbcftza-
bkf dc oir barir aftczkizcr
Bifbcftzadiz-zcgocbtiz tk}i }azajioikdc dc zcwiosbkf&- ]cz`ktc ijtcfcz zcoabkifcr dc bifbcftzabkf
`s{ cocwadar/ oi qsc a rs wcu k`}okba cocwadar tc`}czatszar8 sfa `idkgkbabkf dco `kr`i kftzidsbc sf
rcnsfdi zcgocbtiz qsc }cz`ktc oocwaz ao gibi a itza }irkbkf `r bifwcfkcftc&
Biocbtiz bif bifbcftzadiz-zcgocbtiz bkofdzkbi }azajokbi { zcbc}tiz tsjsoaz&- Cr co `idcoi `r sradi {
cf co qsc co tsji zcbc}tiz rc cfbscftza a oi oazni dc tidar oar }irkbkifcr gibaocr& Oa tc`}czatsza aobaf-uada cf co `kr`i }scdc oocnaz a rcz dco izdcf dc oir 2==B/ rsgkbkcftc }aza `sblar a}okbabkifcr& Cf oa
Gkn KW&:&a rc zc}zcrcfta sf bifbcftzadiz bkofdzkbi }azajokbi/ { cf oa Gkn KW&:&j sf bifbcftzadiz bkof-
dzkbi }azajokbi bif zcgocbtiz rcbsfdazki&
KW&-7
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a+ Zcbc}tiz }oafiBifbcftzadiz }oafi
j+ Zcbc}tiz bkofdzkbiBifbcftzadiz tzifbibfkbi
b+ Bifbcftzadiz }azajioikdcdc zcwiosbkf
d+ Bifbcftzadiz crgzkbi gkei { zcbc}tiz `wko/ RZTA
c+ Zcbc}tiz { bifbcftzadiz tzifbibfkbir
Gkn KW&1&- Aonsfar bifgknszabkifcr dc rkrtc`ar dc bifbcftzabkf
a+ Bifbcftzadiz b&}& ncfczao j+ Bifbcftzadiz b&}& bif zcgocbtiz rcbsfdazki
Gkn KW&:&- Bifbcftzadizcr bkofdzkbi-}azajokbir
a+ Zcgocbtiz Gzcrfco j+ Zcgzabtiz Gzcrfco
Gkn KW&2&- Bifbcftzadizcr Gzcrfco
KW&-7;
7/23/2019 Construccin de concentradores reflectores solares
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Bifbcftzadiz dc zcgoc|kf Gzcrfco { bifbcftzadiz zcgzabtiz Gzcrfco&- Cf co zcgocbtiz Gzcrfco/ Gkn KW&2&a/
oar rs}czgkbkcr }scdcf rcz }oafar i bszwar/ crtafdi dkrcada bada sfa }aza zcgoceaz kfdkwkdsao`cftc oa
zadkabkf rijzc co zcbc}tiz8 rs nzaf wcftaea zadkba cf rs gabkokdad dc bifrtzsbbkf/ rkcfdi `s{ kftczc-
raftc rs stkokuabkf cf biocbtizcr rioazcr dc nzaf }itcfbka { aota tc`}czatsza&
Co zcgzabtiz Gzcrfco stkokua sf rkrtc`a dc bifbcftzabkf }azcbkdi a sf `iftaec dc ocftcr bif sf }sf-ti gibao fkbi/ Gkn KW&2&j
KW&2&- FNSOI DC KFBKDCFBKA GIZ@ADI ]IZ OIR WCBTIZCR f { r
Sf gabtiz a tcfcz cf bscfta cr oa izkcftabkf dco biocbtiz { co `cbafkr`i a}zi}kadi qsc }cz`kta la-
bcz sf rcnsk`kcfti oi `r }zcbkri }irkjoc dco `iwk`kcfti a}azcftc dco Rio/ oi qsc k`}okba cf oa `a{iza
dc oir barir tcfcz qsc labcz sri dc `r dc sf rkrtc`a dc `iwk`kcfti&
Ar/ sf bifbcftzadiz bkofdzkbi }azajokbi tkcfc qsc tcfcz sf `cbafkr`i dc rcnsk`kcfti dco Rio qsc
}cz`kta qsc rs wcbtiz sfktazkiz
f fiz`ao a oa rs}czgkbkc dc ajcztsza { co wcbtiz sfktazki rioazz
r / bifgiz-
`cf sf }oafi qsc bikfbkda bif co }oafi gibao qsc a rs wcu rca }oafi dc rk`ctza dco bifbcftzadiz { qsc}iz oi tafti biftcfna ao zcbc}tiz8 bif crtc `iftaec cr }irkjoc ijtcfcz nkzir dco biocbtiz aozcdcdiz dc sf
roi cec dc nkzi qsc }scdc rcz sf `iftaec ,Fiztc-Rsz+/ ,Crtc-Icrtc+/ i kfbokfadi { }azaocoi ao cec dc oa tkc-
zza/ bif wcoibkdad dc nkzi dc 13 }iz liza&
Rkf c`jazni/ co rcnsk`kcfti }czgcbti dco Rio rc bifrcnskz bsafdi oir wcbtizcrz
f {z
r bikfbkdaf/ {a
qsc cf crar bkzbsfrtafbkar/ oa rs}czgkbkc dc ajcztsza dco biocbtiz rcz fiz`ao a oir za{ir rioazcr kfbk-
dcftcr8 crtc `iftaec zcqskczc oa bi`}irkbkf dc dir `iwk`kcftir i nkzir rijzc dir cecr bi`jkfabkf dc
oir bktadir aftczkiz`cftc/ qsc rc bifibc bi`iAot-abk`st8 co `iwk`kcfti rc zcaokua `cdkaftc nkzir aozc-
dcdiz dc sf cec wcztkbao { itzi lizkuiftao/ c|krtkcfdi itzir tk}ir dc `iwk`kcftir zcoatkwir/ }czi rkc`}zc/
co wcbtiz sfktazki fiz`aoz
f ao }oafi dc ajcztsza/ tkcfc qsc bikfbkdkz bif oa dkzcbbkf dc oir za{ir rioazcrkfbkdcftcr dcgkfkda }iz co wcbtiz sfktazki
z
r &
Co fnsoi tkcfc sfa nzaf k`}iztafbka cf crtc tk}i dc biocbtizcr/ }iz bsafti dc o dc}cfdc co waoiz dc
Kr qsc cr oa cfczna kfbkdcftc }iz sfkdad dc rs}czgkbkc rijzc co bifbcftzadiz zcgocbtiz/ dc waoiz5
Kr 0 K= bir
Rcnf rca co tk}i dc izkcftabkf { `iwk`kcftir dco biocbtiz fcbcrazkir }aza bifrcnskzoa/ tcfdzc`ir
dkwczrir waoizcr }aza co fnsoi dcrtabafdi oir rknskcftcr5
a+ Biocbtiz gkei/ crtafdi co }oafi dc ajcztsza fiz`ao a oa zadkabkf rioaz dkzcbta ao `cdkida dc oir
cqskfibbkir , 0 =+/ }iz oi qsc5
bir 0 rcf rcf , - + ( bir bir ,- + bir
bir 0 bir bir
j+ Nkzi dco biocbtiz rijzc sf cec lizkuiftao ,Crtc-Icrtc+ bif sf rioi aesrtc dkazki/ dc giz`a qsc oa fiz-
`aoz
f ao }oafi dc ajcztsza bikfbkda bif oa bi`}ifcftc dkzcbta dc oa zadkabkf rioaz dcgkfkda }iz co wcbtizz
r / ao `cdkida dc bada da dco ai8 rti k`}okba qsc , 0 +/ }iz oi qsc5
bir 0 rcf rcf ( bir bir bir
bir 0 rcf:( bir: bir
b+ Nkzi rijzc sf cec lizkuiftao ,Crtc-Icrtc+ bif aesrtc biftkfsi dc oa aotsza dco Rio/ giz`afdi oir wcb-
tizcrz
f {z
r sf }oafi fiz`ao ao dc ajcztsza dc oa rs}czgkbkc Ar
KW&->=
7/23/2019 Construccin de concentradores reflectores solares
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bir 0 1 - bir:rcf:
d+ Nkzi rijzc sf cec lizkuiftao ,Fiztc-Rsz+ bif aesrtc biftkfsi dc oa izkcftabkf5
bir 0 ,rcf rcf ( bir bir bir +:
( bir:rcf
:
c+ Nkzi rijzc sf cec }azaocoi ao cec dc oa Tkczza/ bif aesrtc biftkfsi5 - 0 =/ 0 = bir 0 bir
g+ Nkzi rijzc dir cecr }cz}cfdkbsoazcr/ bif aesrtc biftkfsi dco rcnsk`kcfti dco Rio/ dc giz`a qsc rkc`-
}zc rc bs`}oa qsc/z
f 0z
r 5
bir 0 1
}iz oi qscKr0K= { oir za{ir rioazcr kfbkdcf cf tidi `i`cfti fiz`ao`cftc ao }oafi dc ajcztsza/ }azaoc-oir ao }oafi dc rk`ctza dco biocbtiz&
KW&4&- CRTKN@ATKR@I
Rk rc bifrkdcza sf }sfti os`kfiri A qsc cfwa rijzc sf cr}cei sf lau dkwczncftc dc zadkabkf bfkbi
dc wztkbc A/ rc }scdc ad`ktkz qsc co cr}cei }zi}izbkifa dco }sfti os`kfiri A sfa k`ancf A& Bi`i co
lau bfkbi cr bifwczncftc/ A cr oa k`ancf zcao dc A& Rk bifrkdcza`ir roi k`ncfcr zcaocr/ `cdkaftc co
}zibcri kfwczri/ sf }sfti os`kfiri rktsadi cf A }zi}izbkifaza sfa k`ancf cf co }sfti A/ }iz oi qsc oir
dir }sftir A { A rif bifesnadir bif zcoabkf ao rkrtc`a }tkbi/ cr dcbkz/ rtc cr crtkn`tkbi }aza co }az
dc }sftir A { A&
Rk rc bifrkdcza sf cr}cei crgzkbi bfbawi/ ,oa rs}czgkbkc zcgocbtaftc `kza labka co bcftzi dc bszwats-
za B dc oa crgcza+ { dc o sf barqsctc/ co }ioi R dc rtc cr co wztkbc
dco cr}cei { co cec ,BR+ cr co cec }zkfbk}ao i cec dc rk`ctza dco cr}cei&
Sf lau dc za{ir os`kfirir }azaocoir a ,BR+ rc tzafrgiz`a/ dcr}sr
dc oa zcgoc|kf/ cf sf lau bifwczncftc cf sf }sfti G dco cec }zkfbk}ao
qsc rc ooa`agibi k`ancf { rc dkbc qsc G cr oa k`ancf dco }sfti dco
kfgkfkti rijzc co cec }zkfbk}ao dco cr}cei8 zcb}ziba`cftc/ tidi za{i
kfbkdcftc qsc }arc }iz G rc zcgocea }azaocoa`cftc ao cec&
]aza sf cr}cei crgzkbi/ G crt cf oa `ktad dc ,BR+ { oa dkrtafbka ,BG+ 0 g/ cr oa dkrtafbka gibao/ Gkn
KW&3& Co }oafi }cz}cfdkbsoaz ao cec qsc }ara }iz G cr co }oafi gibao k`ancf& Sf za{i os`kfiri qsc }arc
}iz co bcftzi rc zcgocea rijzc r `kr`i& Sf cr}cei crgzkbi fi }zi}izbkifa sfa k`ancf ratkrgabtizka dc sf
ijecti/ raowi qsc5
- Co cr}cei rca dc }cqsca ajcztsza
- Co ijecti rca }oafi/ }cqsci/ }cz}cfdkbsoaz ao cec }zkfbk}ao { bcftzadi rijzc o
- Oar dk`cfrkifcr dco ijecti { oa ajcztsza dco cr}cei rif taocr qsc tidir oir za{ir os`kfirir crtf bcf-
tzadir8 cf crtar bkzbsfrtafbkar rc dkbc qsc co cr}cei tzajaea cf bifdkbkifcr dc a}zi|k`abkf dc Nasrr&
]aza oa bifrtzsbbkf nci`tzkba dc oa k`ancf dc sf ijecti }cz}cfdkbsoaz ao cec }zkfbk}ao dco cr}cei {
rktsadi cf co kfgkfkti/ cf fscrtzi bari co Rio/ rc }aztc dc oi rknskcftc5
Co }oafi ijecti/ co Rio/ crt cf co kfgkfkti { rs k ancf cf co }oafi gibao8 rk co }sfti A dco bcftzi dcodkrbi rioaz bikfbkdc bif co cec }zkfbk}ao dco cr}cei/ rs k`ancf zcgoceada crtaz cf G& ]aza sf }sfti J }cz-
tcfcbkcftc a oa bkzbsfgczcfbka dco dkrbi rioaz/ gscza dco cec }zkfbk}ao dco cr}cei/ bs{a ofca ri}iztc }ara }iz
KW&->1
Gkn KW&4&- Crtkn`atkr`i
7/23/2019 Construccin de concentradores reflectores solares
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B/ giz`a sf fnsoi % ,}cqsci+ bif co cec }zkfbk}ao { rs k`ancf crt cf co }sfti dc kftczrcbbkf dco }oafi
gibao { co cec rcbsfdazki ,JB+/ a}azcbkcfdi crta k`ancf cf }irkbkf kfwcztkda&
Gkn KW&3&- fnsoi { zadki dc ajcztsza8dkrtafbka gibao
Gkn KW&7&- Bifrtzsbbkf dc oa k`ancf dc sfijecti cf co kfgkfkti
Cf co tzkfnsoi ,BAJ+ rc tkcfc qsc5 , A.J.+ 0 , BA. + tn %
,BR+
: %0
Z %
:bif5 0 2:. = /==;21 zad
Co dk`ctzi dc oa k`ancf rioaz dada }iz sf cr}cei bfbawi dc 1 ` dc zadki cr5
, A.J.+ 0 Z
:0 1
| =/==;21:
0 =/==473 `
KW&3&- BIFRKDCZABKIFCR NCI@TZKBAR RIJZC CO BIOCBTIZ DC RS]CZGKBKC ZC-
GOCBTAFTC CRGZKBA
Cf sfa rs}czgkbkc zcgocbtaftc crgzkba/ oir za{ir rioazcr zcgoceadir rif tafncftcr a sfa rs}czgkbkc dczcwiosbkf qsc rc bifibc bi`i bsrtkba& Rk rc rs}ifc sf za{i os`kfiri qsc kfbkdc rijzc co cr}cei crgzk-
bi dc bcftzi B cf co }sfti ]/ Gkn KW&>/ co za{i zcgoceadi cr tafncftc a oa bsrtkba cf co }sfti @ { bizta a
oa ofca ,BR+ cf co }sfti A { ao }oafi gibao cf A& Oar dkrtafbkar ,GA+ { ,GA+ bazabtczkuaf/ zcr}cbtkwa-
`cftc/ oar wazkabkifcr oifnktsdkfao { tzafrwczrao dc oa ajczzabkf crgzkba&
Gkn KW&>&- Bsrtkba dc sf cr}cei crgzkbi
]aza co bobsoi dc ,GA+ { ,GA+ rc dcgkfc sf fnsoi qsc cr co fnsoi dc ajcztsza dco cr}cei8 tcfkcfdi
cf bscfta oar oc{cr dc oa zcgoc|kf/ co tzkfnsoi ,B]A+ cr krrbcocr/ }iz oi qsc5
KW&->:
7/23/2019 Construccin de concentradores reflectores solares
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, BA.+ 0 Z
: bir 8 , GA.+ 0 Z
:, 1bir
- 1 +
{ bi`i co fnsoi ,B]A+ waoc ,:+ zcrsota5 ,GA+ 0 Z:
, 1bir
- 1+ tn :
Rk bifrkdcza`ir 0 435 , GA.+ 0 = /:1 Z 8 , GA+ 0 =/:1 Z tn ;=0 / qsc rknfkgkba qsc }aza crtarktsabkf/ oa k`ancf rc c|tcfdcza kfdcgkfkda`cftc rijzc co }oafi gibao&
Rk }iz oir }sftir 1/ :/ 2/ 4/ 3/ rktsadir rijzc co cec ,BR+ labc`ir }araz sfir }oafir }cz}cfdkbsoazcr
a dkbli cec/ rc ijtkcfc oa wkrsaokuabkf cfczntkba cf oa qsc oar uifar ri`jzcadar rif zcnkifcr rktsadar
cftzc oar dir uifar dc oa bsrtkba/ cf oar qsc oa abs`soabkf dc osu zcgoceada cr `r kftcfra/ Gkn KW&== { rtc cr}cei crgzkbi dc }cqsca ajcztsza rcza sf c|bcocftc bifbcftzadiz&
A biftkfsabkf wa`ir a dctcz`kfaz oa bifbcftzabkf bizzcr}ifdkcftc ao }oafi dco bzbsoi dc `cfiz
dkgsrkf& ]aza laooaz co dk`ctzi dc crtc bzbsoi la{ qsc dctcz`kfaz oa izdcfada dco }sfti dc kftczrcbbkf
dc oa bsrtkba bif co za{i zcgoceadi c|tzc`i qsc }ara }iz co }sfti @&Rc `aftkcfc co }sfti B bi`i izkncf dc biizdcfadar { bi`i cec| oa zcbta ,BR+&
Rk oa kftczrcbbkf dc sf za{i bsaoqskcza }azaocoi a crtc cec bif co cr}cei crgzkbi cr co }sfti K { co
za{i zcgoceadi cr tafncftc a oa bsrtkba cf J/ qsc a rs wcu bizta ao cec | cf D/ rc }scdc laooaz oa cbsabkfKW&->2
7/23/2019 Construccin de concentradores reflectores solares
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dc oa zcbta ,KD+ rk rc bifibcf crtir }sftir&
Oar biizdcfadar dco }sfti K rif5
Z rcf Z bir
Oar biizdcfadar dco }sfti D rif5 Z
: bir
=
{ oa cbsabkf dc oa zcbta ,KD+5 | rcf : - { bir : - Z rcf 0 =
Oa cbsabkf dc oa `czkdkafa dc oa bsrtkba/ cfwiowcftc dc oa zcbta ,KD+/
rc ijtkcfc dczkwafdi oa aftczkiz zcr}cbti a / ijtcfkfdirc5
: | bir : ( : { rcf : - Z bir 0 =
Rs kftczrcbbkf fir da5 | 0Z
:bir ,1 ( : rcf:+
{ 0 Z rcf2
qsc rif oar cbsabkifcr dc sfa bszwa sfkbszrao dc 7 nzadi/ ooa`ada fcgzikdc Gkn KW&;/ qsc cr sfa c}kbk-
boikdc bif dir }sftir dc zctzibcri cfncfdzada }iz oa zidadsza rkf dcrokua`kcfti dc sfa bkzbsfgczcfbka dc
zadki Z4
rijzc itza bkzbsfgczcfbka dc zadki Z:
bifbftzkba bif co cr}cei&
Co za{i zcgoceadi tafncftc a oa bsrtkba cf co }sfti c|tzc`i @ tkcfc itzi }sfti C rijzc oa fcgzikdc& Rk
C cr co `r }z|k`i a G oc bizzcr}ifdc sf waoiz dc zcoatkwa`cftc }cqsci/ }iz bsafti a G oc bizzcr-
}ifdc co waoiz ,0 =+&
]aza laooaz crtc }sfti rsrtktsk`ir oir waoizcr dc ,|/ {+ aftczkizcr cf oa cbsabkf dco za{i zcgoceadi5
| rcf : - { bir : - Z rcf0 =
Z:
bir , 1 ( : rcf:+ rcf : - Z rcf2bir : - Z rcf 0 =
bir ,1 ( : rcf:+ rcf :
:0 rcf2 bir : ( rcf 0 =
Rsrtkts{cfdi bir { bir/ cf gsfbkf dcrcf { rcf/ zcr}cbtkwa`cftc { izdcffdioa cfrcf/ rcijtkcfc5
rcf
7
( : rcf
2
rcf - 4 rcf
2
rcf
2
- 2 rcf
:
rcf
:
( 2 rcf
:
rcf
4
( rcf
4
0 ={ bi`i co za{i zcgoceadi cr tafncftc a oa bsrtkba/ crta cbsabkf ad`ktc oa zau dijoc5 rcf 0 rcf
Dkwkdkcfdi oa cbsabkf aftczkiz }iz ,rcf - rcf +: / zcrsota5
rcf4( : rcf2rcf ( 2 rcf:rcf:( : rcfrcf( rcf:0 =
{ rk cr `s{ }cqsci/ co jkfi`ki ,rcf4( : rcf2rcf + rc }scdc dcr}zcbkaz/ }iz oi qsc cf }zk`cza
a}zi|k`abkf rc ijtkcfc sfa cbsabkf dc : nzadi cfrcf/ dc oa giz`a52 rcf: rcf:( : rcf rcf ( rcf:0 =
rcf 0 - 1 1 - 2 rcf
:2 rcf
rcf ? 12
8 ? 23
cr dcbkz/ rk co fnsoi dc ajcztsza dco cr}cei cr dc`arkadi nzafdc/ oir za{ir kfbkdcftcr qsc bacf bczba dcoKW&->4
Gkn KW&;&- Fcgzikdc
7/23/2019 Construccin de concentradores reflectores solares
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jizdc dco cr}cei/ ao zcgoceazrc rijzc oa bsrtkba/ oi labcf `s{ oceir dco }sfti G { rc zcgoceazaf dir wcbcr
rijzc co cr}cei&
Rk rc gkea co fnsoi oa cbsabkf dc 4 cfbiftzada rc }scdc zcriowcz8 rs}ifkcfdi 02=/ ijtcfkfdirc5
rcf4( rcf
2( =/>3 rcf
:( rcf ( =/:3 0 =
bs{ar riosbkifcr rif5
rcf 0 - =/2 8 0 - 1>/43rcf 0 - 1 8 0 - ;=/ qsc fitkcfcrcftkdi
Co zadki dco bzbsoi dc `cfiz dkgsrkf cr5 Z rcf2
Co zadki dc ajcztsza dco cr}cei cr5 Z rcf
Co gabtiz dc bifbcftzabkf `cdki/ {a qsc oa k`ancf fi crt dcgkfkda sfkgiz`c`cftc/ cr5
B 0Aa
Az0 Z
: rcf:
Z:
rcf7
0 rcf:
rcf7
]aza/ 0 2= B 0 rcf:
rcf70 rcf
:2=,- =/2+7
0 242/ zcrsotadi qsc fi cr c|abti }izqsc fi rc la tcfkdi
cf bscfta co fnsoi dc dkr}czrkf dc oa osu rioaz , 0 2:+/ qsc }zidsbkza sf cfnzira`kcfti dc oa bsrtkba&
Rs}ifkcfdi qsc co zadki dc bszwatsza dco cr}cei zcgocbtiz cr Z 0 1 `/ { qsc co dk`ctzi dc ajcztsza
dco cr}cei cr ta`jkf dc 1 `/ rc tkcfc5
zca dco bzbsoi dc cfiz dkgsrkf5 Z:rcf70 1: ,=/2+7 0 :/:;&1=-2 :
Dk`ctzi dc rtc bzbsoi/ 3/4 b`&
Gcf`cfi dc bi`a&-Lc`ir rs}scrti/ }iz rk`}okgkbaz/ qsc oa dkzcbbkf dc oir za{ir rioazcr cza }a-zaocoa ao cec }zkfbk}ao dco zcgocbtiz crgzkbi/ bif aesrtc biftkfsi dco rcnsk`kcfti dco Rio/ dc giz`a qsc
rkc`}zc rc bs`}oc qsc/z
f 0z
r & ]czi rk co cr}cei crgzkbi dcjc }cz`afcbcz gkei/ a}azcbc sf fscwi tk}i dc
ajczzabkf/ dc giz`a qsc oa k`ancf zcgoceada rijzc sf }oafi }cz}cfdkbsoaz ao cec }zkfbk}ao fi cr dc zcwi-
osbkf/ }zcrcftafdi sfa giz`a aoaznada { sf `|k`i dc os`kfirkdad labka sfa dc rsr c|tzc`kdadcr& Co
bifesfti }zcrcfta oa giz`a dc sf bi`cta { dc al co fi`jzc dcbi`a bifqsc rc bifibc ao gcf`cfi/ qsc
rc abcfta biftza `r oceir crt dco cec&
]aza rs}zk`kz co dcgcbti dco bi`a { rs}ifkcfdi sfa }cqsca ajcztsza dco bifbcftzadiz/ rc tkcfc qsc
bs`}okz oa bifdkbkf dco rcfi dc Ajjc qsc roi sfa rs}czgkbkc crgzkba }scdc wczkgkbaz/ }iz oi qsc bif sf
cr}cei crgzkbi akroadi fi rc }idza ijtcfcz sf gabtiz dc bifbcftzabkf `s{ cocwadi& ]iz crta zauf/ cfaonsfir tk}ir dc bifbcftzadizcr/ bi`i co dco lizfi rioaz dc Fatkbh ,@arrablsrcttr/ SRA+/ rc stkokua sf
bifbcftzadiz bifrtktskdi }iz sf `irakbi dc }cqscir cr}ceir crgzkbir&
Rkrtc`a R&Z&T&A&- Co rkrtc`a R&Z&T&A& bifrkrtc cf sf zcgocbtiz crgzkbi gkei { sf biocbtiz i zcbc}tiz
bkofdzkbi `wko/ bcftzadi { izkcftadi cf tidi `i`cfti cf oa dkzcbbkf dco Rio& Tcfkcfdi cf bscfta oa Gkn
KW&1=/ la{ qsc dctcz`kfaz oa ajcztsza a daz ao cr}cei dc giz`a qsc tidir oir za{ir kfbkdcftcr ao `cdki-
da/ }azaocoir ao cec }zkfbk}ao/ oc biztcf dcr}sr dc sfa rioa zcgoc|kf&
Co za{i c|tzc`i zcgoceadi }ara }iz co }sfti R { rk ] cr co }sfti dc kfbkdcfbka/ co tzkfnsoi ,BR]+ cr
krrbcocr8 }aza sf fnsoi dc kfbkdcfbka `|k`i/ rc tzafrgiz`a cf sf tzkfnsoi cqskotczi { co zadki dcajcztsza bizzcr}ifdkcftc waoc5 Z 2
:
Oir za{ir kfbkdcftcr }azaocoir ao cec }zkfbk}ao { c|tczkizcr ao bzbsoi dc `|k`a ajcztsza c|}czk`cf-
KW&->3
7/23/2019 Construccin de concentradores reflectores solares
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taf dir zcgoc|kifcr aftcr dc aobafuaz ao biocbtiz&
Rk oir za{ir rioazcr fi rif }azaocoir ao cec }zkfbk}ao }iz crtaz a itzar lizar dkrtkftar dc oar dco `c-
dkida/ aonsfir dc cooir aobafuazf dir zcgoc|kifcr { itzi }cqsci f`czi fi biztaf `r ao cec/ }iz oi qsc
la{ sfar }zdkdar dc cfczna dco izdcf dco 1#&
Oa oifnktsd dco biocbtiz bkofdzkbi cr Z:
]aza gkeaz oar dk`cfrkifcr dco zcgocbtiz la{ qsc bifibcz co waoiz dc oa rs}czgkbkc dc oa k`ancf rioaz zc-
goceada rijzc co cec }zkfbk}ao/ qsc cr wazkajoc/ }iz bsafti oa dkrtafbka dcrdc oir }sftir dc kfbkdcfbka ao cec
cr wazkajoc/ rkcfdi `r nzafdc bczba dco zcgocbtiz/ qsc bczba dco gibi&
-Co ba`kfi `fk`i ,RG+ dc oir za{ir zcgoceadir cr Z:
- Co dk`ctzi dc oa k`ancf rioaz waza cftzc ,d`|0 Z + { ,d`f0
Z c: +/ bif 0 2:
- Co ba`kfi `|k`i ,]R+ dc oir za{ir zcgoceadir cr Z
Oa rs}czgkbkc os`kfira a oi oazni dco cec }zkfbk}ao giz`ada }iz oa rs}cz}irkbkf dc tidar oar k`ncfcr}azbkaocr dco Rio cr/ a}zi|k`ada`cftc/ bfkba8 rs rs}czgkbkc cr5
A 0 Z
:
Z ( Z :
:0 2
7
7/23/2019 Construccin de concentradores reflectores solares
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Gkn KW&11&- ]irkbkifcr dco biocbtiz dco rkrtc`a RZTA }aza bsafdi co cec dco cr}cei bikfbkdcbif oir za{ir rioazcr kfbkdcftcr ,kfbkdcfbka fiz`ao+ { }aza bsafdi fi bikfbkdcf
Gkn KW&1:&- Rs}czgkbkc os`kfira a oi oazni dco cec }zkfbk}ao
Co biocbtiz tkcfc :/> ` dc oifnktsd { crt giz`adi }iz sf rcz}cftf dc bijzc cffcnzcbkdi dc 1/: b` dc
dk`ctzi { }zitcnkdi }iz sfa bsjkczta dc bzkrtao
Ncfcza wa}iz dc ansa a jaea }zcrkf/ qsc bifdcfra cf sf dc}rkti dc ao`abcfa`kcfti dc 11 2/ qsc
biftkcfc oadzkooir dc aos`kfki }aza ao`abcfaz oa cfczna }aza oa fiblc { }aza oir dar rkf rio/ larta sf
`|k`i dc 3 dar bifrcbstkwir
Ta`jkf }scdc }zidsbkz wa}iz rijzcbaocftadi a :==B qsc abbkifa sfa tszjkfa }aza ncfczaz cocbtzk-
bkdad
Co gabtiz dc zcgoc|kf dco zcgocbtiz cr =/1B
Co bicgkbkcftc dc ajrizbkf dc oa rs}czgkbkc zcbc}tiza cr =/;
KW&7&- BIFRKDCZABKIFCR NCI@TZKBAR RIJZC CO BIOCBTIZ ]AZAJOKBI DC ZC-
WIOSBKF
Sf }azajioikdc dc zcwiosbkf rc ijtkcfc }iz zitabkf dc sfa }azjioa aozcdcdiz dc rs cec& A biftkfsa-
bkf wa`ir a c|}ifcz aonsfar }zi}kcdadcr dc crta bszwa/ dc a}okbabkf cf bifbcftzadizcr dc cfczna ri-
oaz& Sf }azajioikdc cr co bifesfti dc }sftir rktsadir a knsao dkrtafbka dc sfa zcbta gkea ooa ada dkzcbtzku{ dc sf }sfti gkei G ooa`adi gibi/ Gkn KW&12& Oa kftczrcbbkf dc oa }azjioa { rs cec cr co wztkbc R8 rk rc
coknc crtc wztkbc bi`i izkncf dc biizdcfadar/ oa cbsabkf dc oa }azjioa cr5
{:0 4 g |
cf oa qscgcr oa dkrtafbka gibao ,RG+&
Cf biizdcfadar }ioazcr dc }ioi G/ oa cbsabkf dc oa }azjioa cr5 0g
bir::
rkcfdi5 0 : azb tn l
: gCo dk`ctzi D dc ajcztsza dco }azajioikdc { co fnsoi `|k`i qsc oc dcgkfc/ wkcfcf zcoabkifadir
}iz5
KW&->>
7/23/2019 Construccin de concentradores reflectores solares
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Gkn KW&12&- Bifbcftzadizcr }azajokbir dc zcwiosbkf
Gkn KW&12a&- ]azjioa
0 : azb tn D: g
D 0 4 g tn
:
zcrsotadi qsc oa rs}czgkbkc dc ajcztsza Aa dc crtc }azajioikdc cr5
Aa0
D:4
0 17 g: tn:
:4
0 4 g: tn:
:
Co zca dco }azajioikdc rc }scdc dctcz`kfaz a }aztkz dco tcizc`a dc Nsodkf/ cf oa giz`a5
A0=
: { dR 0dR:0 d:(,d+:
{ 0g rcf
bir: ,):+8 dR 0
g dbir2 ,):+
0
=
: g rcf
bir:
:
g d
bir2
:
0
0 : g:=
rcf
:d
:
bir4
:
0 &&& 0< g:
2 ,1
bir2 ,):+- 1+
Oa }zi}kcdad gsfda`cftao dc sf cr}cei }azajokbi cr oa dc rcz crtkn`tkbi }aza co }sfti dco &
Co dk`ctzi d dc oa k`ancf dco dkrbi rioaz cr5 d 0 g =/=1 g/ cr dcbkz/ co f`czi qsc `azba oa dkr-
tafbka gibao cf `ctzir cr co `kr`i qsc `azba oa k`ancf rioaz cf b`&Rc ijtkcfc sfa k`ancf ftkda dco Rio rk5 D
g? =/1
KW&->
7/23/2019 Construccin de concentradores reflectores solares
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Bobsoi dc oa bifbcftzabkf&-Rk cf co }sfti K dco }azajioikdc rc zcgocea sf lau bfkbi dc za{ir ri-
oazcr/ Gkn KW&14/ { rk labc`ir ,KG+ 0 / cf co }oafi gibao rc ijtkcfc sfa cok}rc bs{ir cecr rif5
Cec `cfiz5 : j 0 ,BC+ 0
Cec `a{iz5 : a 0 , BN + 0
bir
Gkn KW&14&- K`ncfcr }zidsbkdar cf sf bifbcftzadiz }azajokbi
Azca dco bzbsoi k`ancf dc Nasrr dc dk`ctzi , @F + cr5 A1 0g::
4
Azca dc oa cok}rc bizzcr}ifdkcftc 5 A: 0a j 0g::
4 bir
0A1A:
0g:bir
:
Rk rc bifrkdcza sf }cqsci coc`cfti ,HL+ dco }azajioikdc/ qsc rc }scdc bifgsfdkz bif rs tafncftc cfK { rk dcrdc L rc tzaua oa }azaocoa ao cec dc oa }azjioa/ zcbta ,LJ+/ dcrdc H oa }cz}cfdkbsoaz a oa zcbta
,JL+ { dcrdc H oa }cz}cfdkbsoaz a ,LG+/ rkcfdi J co }sfti dc kftczrcbbkf/ zcrsota qsc ,HL+ cr oa jkrcb-
tzku dco fnsoi ,JLJ+/ }iz oi qsc ,LJ+ 0 ,HJ+ 0 d&
Rk rc labc nkzaz co rcn`cfti coc`cftao ,HL+ aozcdcdiz dco cec dco cr}cei rc ijtkcfc sfa bizifa coc-
`cftao qsc }zi{cbtada rijzc co }oafi gibao izknkfa sf afkooi coc`cftao dc zca5
dA 0 : : rcf d
Rk oa bifrtaftc rioaz cr K=/ oa zadkabkf zcbkjkda }iz co afkooi cf co }oafi dc oa k`ancf rioaz cr5
dK= 0 : K=: rcf d
{ oa gzabbkf dc cfczna zcbkjkda }iz co dkrbi gibao5
dKgibao 0 : K= g: rcf bir d
Rk ooa`a`ir D ao dk`ctzi dc ajcztsza dco }azajioikdc dc zcwiosbkf { ao fnsoi dc ajcztsza bi-
zzcr}ifdkcftc/ oa cfczna }iz sfkdad dc rs}czgkbkc cr5
K
gibao0 : K
=g:
=
rcf bir d0K
=g:rcf:
qsc rc zcbkjc cf sf dkrbi dc zca A1 0g::
4}iz oi qsc oa dcfrkdad dc cfczna bifbcftzada cf dkbli dkr-
bi cr5
KW&->;
7/23/2019 Construccin de concentradores reflectores solares
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Kdkrbi0Kgibao
A10K= g: rcf:
g::
4
04 K= rcf:
:
{ co gabtiz dc bifbcftzabkf5 B 0Kgibao
K=0
4 rcf::
]aza sf fnsoi dc ajcztsza `|k`i/ 0 ;=/ B 0 4 rcf: ;=
=/==;21:0 4713=/ { rk oa bifrtaftc rioaz K= cr
dco izdcf dc 1 h^: / }aza sf cr}cei bif sfa dkrtafbka gibao dc 1 `/ oa rs}czgkbkc dc oa k`ancf dc Nasrr
cr5 A1 01 | =/==;21:
40 7/
7/23/2019 Construccin de concentradores reflectores solares
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Cf ncfczao/ sf lizfi rioaz rc bi`}ifc dc dir tk}ir dc cr}ceir/ sfi }azajokbi gkei qsc bifbcftza
cfczna cf co gibi { itzi }oafi qsc zccfwa co lau dc za{ir rioazcr a oa uifa dc `|k`a tc`}czatsza/ bif
oi qsc rc tkcfcf dir cr}ceir bif oar }zdkdar bizzcr}ifdkcftcr& ]aza oir cr}ceir zcbsjkcztir bif }oata i
aos`kfki/ oar }zdkdar rif dco izdcf dco 1=# }aza bada sfi/ cf titao sf :=#& Oar dc`r }zdkdar rif dk-
gbkocr dc cwaosaz/ }czi rc }scdcf bsaftkgkbaz cftzc sf 2=# { sf >=#/ rcnf co tk}i dc bifrtzsbbkf&Oa zcoabkf cftzc oa cfczna ijtcfkda { oa baobsoada a }aztkz dco gabtiz dc bifbcftzabkf cr co gabtiz
dco lizfi G/ qsc cf oar `ceizcr bifdkbkifcr fi cr rs}czkiz a =/7/ }aza gabtizcr dc bifbcftzabkf dco izdcf
dc :====&
Tc`}czatszar ijtcfkdar cf sf lizfi rioaz&-Oa cfczna zcbkjkda cf co }oafi gibao dco cr}cei }a-
zajokbi cr ajrizjkda }iz co rkrtc`a qsc rc wa a baocftaz/ dc giz`a qsc rs tc`}czatsza as`cfta dcjkdi
a oa bifdsbbkf { zadkabkf& Oa cfczna bifbcftzada }iz sfkdad dc rs}czgkbkc cr BK=/ { rk co lizfi rc ark-
`koa a sf bscz}i fcnzi rc }scdc ad`ktkz qsc tida crta cfczna rc ajrizjc/ }iz oi qsc5
B K= 0 T4
Rk/K= 0 1h^
: { B 0 :====/ rc ijtcfdza sfa tc`}czatsza ajriosta dco izdcf dc T 0 42==H/ }czi ao
fi rcz co bscz}i fcnzi { tcfcz }zcrcftcr oar }zdkdar }iz bifdsbbkf/ crta tc`}czatsza fi rijzc}araza
oir 41==H&
Dcjkdi a oar dcfrkdadcr dc cfczna dkr}ifkjocr/ oa ijtcfbkf dc oar tc`}czatszar bktadar }scdc rcz
`s{ z}kda8 sf bscz}i `ao bifdsbtiz { `s{ ajrizjcftc fcbcrkta =/3 rcnsfdir }aza }ifczrc a :>==B
{ 2 rcnsfdir rk rs }idcz c`krkwi cr =/4 ,|kdir zcgzabtazkir+& ]aza oir `ctaocr/ oa bifdsbtkwkdad { co cr-
tadi rs}czgkbkao labcf qsc co }zibcri rca `r ocfti/ dco izdcf dc > rcnsfdir&
KW&>&- BIFRKDCZABKIFCR NCI@TZKBAR RIJZC OIR BIOCBTIZCR BKOKFDZKBI-]A-
ZAJIOKBIR
Oars}czgkbkc dc ajcztsza dco bifbcftzadiz/ cr co zca dco `kr`i }zi{cbtada rijzc sf }oafi fiz`ao ao
}oafi dc rk`ctza& ]aza sf biocbtiz bkofdzkbi }azajokbi cr sf zcbtfnsoi dc dk`cfrkifcr oa afblsza {
oifnktsd dc oa rs}czgkbkc zcgocbtaftc& Rk rc bifrkdcza sf lau dc za{ir os`kfirir dc ajcztsza kfbkdcftc cf
co }sfti K dco bkokfdzi/ co lau zcgoceadi bizta ao }oafi fiz`ao cf co cec dc oa }azjioa jrkba qsc dcgkfc co
}czgko dco bkokfdzi/ rcnf sfa cok}rc dc cec `a{iz ,AJ+& Cf }zk`cza a}zi|k`abkf rc }scdc ad`ktkz qsc cogibi G dc oa }azjioa qsc }ara }iz co }sfti K cr co bcftzi dc rta cok}rc&
Gkn KW&13- Bifbcftzadiz bkofdzkbi }azajokbi
KW&-
7/23/2019 Construccin de concentradores reflectores solares
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Gkn KW&17&- Bobsoi dc oa bifbcftzabkf }zidsbkda }iz co bifbcftzadiz bkofdzkbi }azajokbi
Rk aliza rc bifrkdcza sf lau kfbkdcftc dc fnsoi bs{i cec }ara }iz co wztkbc dc oa }azjioa K/
qsc bikfbkdc bif co lau zcgoceadi/ z
f 0z
r/ oa k`ancf rijzc co }oafi gibao rcz sf bzbsoi dc Nasrr&
Rk co }sfti dc kfbkdcfbka K rijzc co zcgocbtiz rc `scwc a oi oazni dc oa ofca ,KK+/ co bzbsoi dc Nasrr rc
tzaroada a oi oazni dc sf zcbtfnsoi dc oifnktsd L { afblsza ,g+/ ok`ktadi }iz dir rc`kbzbsoir dc zadki
,g):+/ rkcfdigoa dkrtafbka gibao dc oa }azjioa&
Rk ,g+ cr }cqsci bif zcoabkf a L/ rc }scdc ad`ktkz qsc oa rs}czgkbkc dco zcbtfnsoi cr ,L g+/ Gkn
KW&17& Oir oadir dc crtc zcbtfnsoi biztaf a oa cok}rc cf oir }sftir B/ D/ C/ G { ao cec I| cf A { J&]aza baobsoaz co zca dc oa }aztc ri`jzcada ,CBDNC+/ oir cecr `a{iz ,AJ+ { `cfiz ,@F+ dc oa cok}-
rc rif5
,AJ+0 : a 0
bir
8 , @F + 0: j 0
Oa rs}czgkbkc coc`cftao ri`jzcada A1 waoc/ a}zi|k`ada`cftc5 A1 0 g| 0 g: / { oa rs}czgkbkc
dc oa cok}rc ,ABDJNC+ cr5 A: 0::
4 bir / bif5
0A
1A: 0g:
::
4 bir 0
4 g bir
]aza co fnsoi d5Oak`ancftitaococ`cftaocr5 dA10 LdOak`ancfdcNasrr5 dA: 0 Ld
{ rk K= cr oa bifrtaftc rioaz/ oa cfczna qsc kfbkdc rijzc sf cr}cei dc fnsoi dc ajcztsza cr5
Kgibao 0 : K= L
=
d0 : K= L =
4 g bir
d0
< K= L g
=
bir d0< K= L g rcf
Co gabtiz dc bifbcftzabkf cr5 B 0Cfczna cf oa rs}czgkbkc dc Nasrr
Cfczna cf oa cok}rc dc Nasrr 0< K
=L g rcf
K=L g 0 < rcf /
qsc fir da sfa kdca dco izdcf dc `anfktsd dkr}ifkjoc&
KW&-
7/23/2019 Construccin de concentradores reflectores solares
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Oa bifbcftzabkf `a|k`ao rc ijtkcfc }aza/ 0 ;= { waoc5 / zcgocea rijzc sf zcbc}tiz }oafi { fiz`ao ao cec dco bif-
bcftzadiz/ dc oifnktsd O8 co dk`ctzi dc oa k`ancf rioaz rijzc co zcbc}tiz ,aj+ qsc rc wc dcrdc co }sfti ]/
wkcfc dada }iz5
,aj+ 0 : tn 17.
rkcfdi oa oifnktsd5 O 0,aj+
bir 0
: tn 17.bir
Rk co }czgko dco bifbcftzadiz cr }azajokbi { oa dkrtafbka ,RG+ cr oa dkrtafbka gibao g/ rc }scdc dcgkfkz
rta bi`i5
{: 0 4 g |
Cf co }sfti K rc tkcfc qsc5
|10 g - bir {10rcf
: rcf:0 4 g , g - bir +
: (
4 g bir rcf:
-4 g:
rcf:0 = 0
: g ,1 - bir +rcf:
0: g
1 ( bir
oi qsc }cz`ktc laooaz co ta`ai dc oa k`ancf rioaz tczkba zcgoceada rijzc co zcbc}tiz }aza g |&
Oar dk`cfrkifcr fk`ar dco zcbc}tiz rif5 O 0: tn 17.
bir 0
4 g tn 17.
bir , 1 ( bir +
Gkn KW&1>&- K`ancf zcgoceada tczkba dco Rio cf sf biocbtiz bkofdzkbi }azajokbi
Gkn KW&1
7/23/2019 Construccin de concentradores reflectores solares
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@cdkaftc oa dkrtafbka gibaogrc dctcz`kfa co ta`ai dc oa k`ancf rioaz zcgoceada { `cdkaftc oa rs}cz-
gkbkc dc ajcztsza Aa oa cfczna titao qsc }scdc bifbcftzaz/ }iz oi qsc co gosei dc cfczna cf co gibi zcbc}-
tiz rcz gsfbkf dc oa zcoabkfAag
Cfczna tko rijzc co zcbc}tiz8}zdkdar tz`kbar&-Wa`ir a bifrkdczaz sf bifbcftzadiz bkof-dzkbi }azajokbi ,BB]+8 sf jaoafbc cfczntkbi dco `kr`i/ cf oa }irkbkf |}cz`ktkz dctcz`kfaz oa na-
fafbka tko qs dco biocbtiz }iz sfkdad dc rs}czgkbkc dc ajcztszarcnf rc `scrtza cf oa Gkn KW&1;5
qs0 KrG,+ - SB , Tz /|- Ta+
AzAa
{ rk tidi co zcbc}tiz crt a sfa tc`}czatsza sfkgiz`c Tz oa nafafbka tko titao rcz5
Qs 0 qs Aa 0 Aa KrG ,+ - SB Az , Tz - Ta+
rkcfdi5- Aaoa rs}czgkbkc dc ajcztsza dco biocbtiz/ rkf ri`jzar/ { Az oa rs}czgkbkc dco zcbc}tiz
- B 0AaAz
cr co gabtiz dc bifbcftzabkf qsc }cz`ktc ijtcfcz goseir dc cfczna bi`}azajocr a oir dc bsao-
qskcz kftczba`jkadiz kfdsrtzkao bifwcfbkifao- cr oa zcgocbtafbka cr}cbsoaz dc oa rs}czgkbkc zcgocbtiza
- G cr oa gzabbkf dc cfczna zcgoceada qsc cr kftczgczkda }iz co zcbc}tiz { qsc bifrtkts{c co gabtiz dc kf-tczbc}tabkf
- Kr cr oa zadkabkf rioaz dkzcbta fiz`ao ao }oafi dc ajcztsza dco bifbcftzadiz
- Sb
,Tz
- Ta+/ rif oar }zdkdar tz`kbar }iz sfkdad dc rs}czgkbkc dco zcbc}tiz labka co c|tczkiz8 T
zcr oa
tc`}czatsza `cdka dco zcbc}tiz { Ta cr oa tc`}czatsza dco `cdki c|tczkiz8 crtar }zdkdar rc zcdsbcf ao as-
`cftaz co gabtiz dc bifbcftzabkf B
Gkn KW&1;&- Jaoafbc cfczntkbi cf sf biocbtiz bkofdzkbi-}azajokbi
Cf oa Gkn KW&:=/ oa bszwa dco`ktc kfgczkiz zc}zcrcfta oir fkwcocr dc bifbcftzabkf cf oir qsc oar }z-
dkdar tz`kbar rif knsaocr a oa cfczna ajrizjkda/ `kcftzar qsc oir fkwcocr rs}czkizcr daf sfa nafafbka
tko& Oa uifa za{ada rc bizzcr}ifdc bif cgkbkcfbkar dco biocbtiz dco izdcf dco 4=# ao 7=# { zc}zcrcfta co
ba`}i dc gsfbkifa`kcfti fiz`ao8 ta`jkf rc kfdkba co ba`}i cf co qsc rc }scdcf stkokuaz dctcz`kfadir
tk}ir dc zcgocbtizcr& Bsafti `cfiz rca oa rs}czgkbkc dco zcbc}tiz/ oar }zdkdar tz`kbar rczf ta`jkf
`cfizcr8 rk rta rs}czgkbkc zcbc}tiza gscrc }sftsao/ oar }zdkdar tz`kbar rczaf bczi8 dc rti rc dcdsbcqsc oa nafafbka dc cfczna tko { oar bszwar dc cgkbkcfbka rc abczbaf a `cdkda qsc rc zcdsbcf oar }zdk-
dar tz`kbar&
KW&-
7/23/2019 Construccin de concentradores reflectores solares
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O`ktc kfgczkiz
Gkn KW&:=&- Zcoabkifcr cftzc co fkwco dc bifbcftzabkf { tc`}czatszar dc gsfbkifa`kcfti dco zcbc}tiz
]zdkdar }tkbar&- Oa zcgocbtafbka cr}cbsoaz rc dcgkfc bi`i oa gzabbkf dc cfczna rioaz dkzcbta
kfbkdcftc qsc rc zcgocea labka co zcbc}tiz rcnf oar oc{cr dc oa zcgoc|kf/ dc giz`a qsc co fnsoi dc kfbkdcf-
bka { co zcgoceadi/ a`jir zcr}cbti a oa fiz`ao cf sf }sfti bsaoqskcza dc oa rs}czgkbkc zcgocbtiza/ rcaf
knsaocr8 oar }zdkdar }iz zcgoc|kf rif dc oa giz`a/ 1 - &
Rc bifrknsc sfa zcgocbtafbka cocwada stkokuafdi dc}rktir `ctokbir i }kftszar rijzc rsjrtzatir `c-
tokbir i rijzc bzkrtao& Cf biocbtizcr bkofdzkbi }azajokbir ,BB]+ rc rscocf stkokuaz o`kfar dc aos`kfki
afidkuadi/ i ta`jkf }cobsoar dc }ortkbi `ctaokuadar cf wabi/ bi`i }cobsoar dc }iokrtcz aos`kfkua-
di/ qsc }cz`ktcf ijtcfcz sfir waoizcr aotir dc oa zcgocbtkwkdad dszaftc nzafdcr }czidir dc gsfbkifa-
`kcfti dco biocbtiz& Oa tzafr`ktafbka { oa ajriztafbka tkcfcf co `kr`i rknfkgkbadi qsc cf oir biocbti-zcr dc }oaba }oafa/ asfqsc rsr waoizcr dkgkczcf/ dadi qsc oar bifdkbkifcr dc dkrci ta`jkf rif dkgczcf-
tcr }sdkcfdi bifrkdczaz oar rknskcftcr5
- Oir bifbcftzadizcr fi tkcfcf bsjkcztar { fi kfgos{c cf co jaoafbc cfczntkbi/ 0 1
- Rk co zcbc}tiz cr dc bawkdad/ co waoiz dc tkcfdc a oa sfkdad/ bif sfa c`ktafbka cocwada&
- { dc}cfdcf dco fnsoi cdki dc kfbkdcfbka8 }aza sf dkrci bifbzcti/ tkcfc qsc rcz kfgczkiz a 7=&
- Co gabtiz dc kftczbc}tabkf G zc}zcrcfta oa gzabbkf dc cfczna zcgoceada cf co bifbcftzadiz/ qsc cr kf-
tczbc}tada a rs wcu }iz co zcbc}tiz dc cfczna8 rtc gabtiz Gcr sfa }zi}kcdad dco bifbcftzadiz { dc rs rkr-
tc`a dc izkcftabkf ao }zidsbkz oa k`ancf rioaz { dco zcbc}tiz { dc rs }irkbkf cf co biocbtiz/ ao kftczbc}tazsfa }aztc dc dkbla k`ancf rioaz&
- Oar }zdkdar bizzcr}ifdkcftcr rif dc oa giz`a/ 1-G
Oa dkrtzkjsbkf dco gosei rioaz rc }scdc bifrkdczaz bi`i sfa gsfbkf dc oa }irkbkf dcftzi dco zca Az
dco zcbc}tiz/ Gkn KW&:1& Co zca jaei oa bszwa dc dkrtzkjsbkf cr oa cfczna zcgoceada cf co }oafi gibao&
Rk co zcbc}tiz tkcfc sfa afblsza/ ,AJ+ 0 :a/ oa cfczna kftczbc}tada wkcfc dada }iz co zca ri`jzca-
da cftzc A { J/ }sdkfdirc }ifcz co waoiz dc G0K,a+da
-a
( a
K,a+da
-
(
Bifdkbkifcr afoinar rc }scdcf a}okbaz ao bari dc bifbcftzadizcr dc zcwiosbkf&
Co zcfdk`kcfti }tk`i dc sf biocbtiz rc ijtkcfc bif sf gabtiz G? 18 oa i}tk`kuabkf dco ta`ai dco
zcbc}tiz }zi}izbkifa sfa nafafbka `|k`a dc cfczna tko5
KW&-
7/23/2019 Construccin de concentradores reflectores solares
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- Zcdsbkcfdi ao `|k`i oar }zdkdar }tkbar
- As`cftafdi oar }zdkdar tz`kbar
`kcftzar qsc/ }aza sf zcbc}tiz }cqsci/ k`}okba }zdkdar tz`kbar jaear { }zdkdar }tkbar aotar&
Gkn KW&:1&- Cfczna kftczbc}tada }iz co zcbc}tiz Gkn KW&::&- Dkrtzkjsbkf dco gosei rioaz tczkbi rijzc
sfa rs}czgkbkc fiz`ao ao cec dco zcgocbtiz
Cf bifrcbscfbka/ sf dk`cfrkifadi adcbsadi dco zcbc}tiz k`}okba co tcfcz qsc bi`}ankfaz a`jir tk-
}ir dc }zdkdar dc cfczna& Oa dkrtzkjsbkf dco gosei rioaz tczkbi zcgoceadi }iz sf zcbc}tiz }azajokbi/ ri-
jzc sfa rs}czgkbkc tafncftc ao zcbc}tiz/ dc giz`a qsc oa fiz`ao a crta rs}czgkbkc bikfbkda bif co cec dco
lau zcgoceadi/ wkcfc dada }iz oa Gkn KW&:18 oa dkrtizrkf dc oa dkrtzkjsbkf zcao gzcftc a oa kdcao/ }scdc rcz
dcjkda a oir rknskcftcr gabtizcr5
- Kzzcnsoazkdadcr cf oa rs}czgkbkc dco zcgocbtiz qsc }ziwibaf sfa dkr}czrkf { dkgs`kfabkf dc oa k`a-
ncf rioaz rijzc co zcbc}tiz
- Czzizcr cf oa izkcftabkf dco biocbtiz/ qsc a`}okgkbaf { dcr}oauaf oa k`ancf rioaz rijzc co zcbc}tiz- Czzizcr dc tk}i bifrtzsbtkwi qsc izknkfaf sfa }irkbkf kfbizzcbta dc oa k`ancf rioaz rijzc co zcbc}tiz
Oacgkbkcfbka }tkba dco biocbtiz rc dcgkfc bi`i5 G ,+&Dkrtzkjsbkf dco gosei fiz`ao rijzc co zcbc}tiz cfbifbcftzadizcr bkofdzkbi }azajokbir&-
Oa dkrtzkjsbkf dco gosei tczkbi fiz`ao/ ,ofca dc tzauir cf oa Gkn KW&::+/ rc }scdc }ifcz cf oa giz`a5
K0 K | c
-l:, a^+:
0 K | 01
: 0 l
^ 0 l
^ c-l:, a
^+:
cf oa qsc5K/ cr oa dcfrkdad dco gosei dc zadkabkf
K |/ cr oa dcfrkdad dc gosei `|k`i cf oa ofca bcftzao
l/ cr co bicgkbkcftc fiz`ao dc dkrtzkjsbkf dc gosei
:a/ cr oa oifnktsd bazabtczrtkba dco zcbc}tiz ,afblsza+
: ^/ cr oa oifnktsd bazabtczrtkba dco bifbcftzadiz 0 oa afblsza dco }oafi dc ajcztsza dco kr`i
/ cr oa dcrwkabkf rtafdazd dc oa bszwa dc dkrtzkjsbkf fiz`ao
]aza sfa dkrtzkjsbkf rk`tzkba co gabtiz G0=
l a^ c
,l a^ +
:d,l a
^+
=
( c,l a+: d,l a
+
0:
=
l a^
c,
l a^
+:
d,l a
^+
Oir waoizcr dcG rc ijtkcfcf `cdkaftc oa Tajoa dc waoizcr dc oa gsfbkf dc czziz dc Nasrr/ Tajoa
KW&-
7/23/2019 Construccin de concentradores reflectores solares
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KW&1/ dcgkfkda cf oa giz`a5
N,s+ 0 :
=
s
c-s:
ds 0 G/ cf oa qsc5 s 0l a^
Dkrtzkjsbkf dco gosei fiz`ao rijzc co zcbc}tiz cfbifbcftzadizcr }azajioikdcr dc zcwios-bkf&-]aza sfa rs}czgkbkc zcgocbtaftc dco bifbcftzadiz tk}i }azajioikdc dc zcwiosbkf oa gsfbkf dc dkr-
tzkjsbkf fiz`ao cr5
KK |
0 c-l:, z
Z+:
/ rkcfdi5 K |01
: 0 l
Z K0 l
Z c
- ,l zZ
+:
rkcfdi zco zadki dc oa rs}czgkbkc zcbc}tiza { Z co zadki dc oa rs}czgkbkc dc ajcztsza dco bifbcftzadiz&
Co gabtiz dc kftczbc}tabkf5 G0 z
Z
zZ K d, zZ+
-
(
K d, zZ+0
K | =
zZ c
-,l zZ +:: , z
Z+d, z
Z+
K |=
(
c-,l z
Z+:
: , zZ+d,z
Z+0 1 - c
-,l z
Z
+:
qsc c|}zcra sfa zcoabkf cftzc co gabtiz dc kftczbc}tabkfG { oa zcoabkf cftzc oir zadkirz
Z}cz`ktkcf-
di sf bobsoi gbko dcG }aza rkrtc`ar dc bifbcftzabkf bif rk`ctza a|kao&
Tajoa KW&1&- Gsfbkf dc czziz dc Nasrr
s N,s+ s N,s+ s N,s+ s N,s+ s N,s+=/== =/===== =/47 =/4 1/2< =/;4;=: 1/4=/=: =/=::37 =/4< =/3=:>3 =/;4 =/ 1/4= =/;3::< 1/=/=4 =/4311= =/3= =/3:=3= =/;7 =/;= =/;< =/17: 1/=: =/=47< 1/:= =/;1=21 1/77 =/;74=/2= =/2:7 =/>1>34 1/:: =/;1332 1/7< =/;= =/;;;< =/>2==1 1/:4 =/;:=3= 1/>= =/;= :/: =/;7 =/;1; 2/:= =/;;;;;4=/4= =/4:71= 1/2: =/;2< =/;4; =/
7/23/2019 Construccin de concentradores reflectores solares
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Gkn KW&:2&- Zcgocbtiz cwiowcftc dc bzbsoi
Gn KW&:4&- Zcgocbtiz bkofdzkbi }azajokbi abi}oadi aitza cwiowcftc dc bzbsoi
Bifbcftzadiz }azajokbi bi`}scrti&-Co bifbcftzadiz }azajokbi bi`}scrti cr sf rkrtc`a cf
giz`a dc jazbi cf co qsc oar }azcdcr tkcfcf sf }czgko dctcz`kfadi& Crt bifrtzskdi dc `afcza qsc fi
giz`a oa k ancf dco Rio }izqsc oa ijtcfbkf dc sfa k`ancf/ ao `cfir bi`i firitzir oa lc`ir wkrti cf co
bari dco }azajioikdc/ cr kfbi`}atkjoc bif oa jrqscda dc sfa bifbcftzabkf rkf }zdkda dc cfczna& Rc
dc`scrtza qsc cf sf rkrtc`a bifrtktskdi dc sfa }s}koa dc cftzada dc dk`ctzi d1/ dc sfa }s}koa dc raok-
da dc dk`ctzi d:/ rk co fnsoi dc ajcztsza dc sf lau os`kfiri kfbkdcftc cr co gabtiz dc bifbcftzabkf
`a|k`ao cr5
B 0
d1d:
0f:f1
1rcf
rkcfdi f1 { f: oir fdkbcr dc zcgzabbkf a oa cftzada { a oa raokda&
Gkn KW&:3&- Bifbcftzadiz }azajokbi bi`}scrti
Co }czgko dco bifbcftzadiz crt bi`}scrti }iz dir }izbkifcr dc }azjioa rk`tzkbir/ cf oar qsc oircecr crtf kfbokfadir sf fnsoi zcr}cbti ao cec dc rk`ctza/ dc giz`a qsc co gibi dc sfa dc cooar rc cf-
bscftza cf co c|tzc`i dc oa itza& Rk rc ti`a co }sfti I bi`i izkncf dc biizdcfadar/ rc }scdc bi`}zijaz
qsc oar cbsabkifcr dco }czgko cf }aza`tzkbar rif5
| 0
d: ,1 ( rcf + rcf , - +1 - bir
-d::
{ 0d: , 1 ( rcf + rcf , - +
1 - bir
cf oar qsc cr sf }az`ctzi knsao ao fnsoi qsc giz`a co za{i ,I@+ bif oa }azaocoa a ,]G+ qsc }ara }izco }sfti I&
Oar tafncftcr cf oir c|tzc`ir ] { ] rif }azaocoar ao cec dc rk`ctza dco bifbcftzadiz&
KW&-
7/23/2019 Construccin de concentradores reflectores solares
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Oa aotsza dco biocbtiz wkcfc dada }iz5 O 0d1( d:
:bitn / { }aza f1 0 f: rc ijtkcfc oa zcoabkf5
Od:
0 B ( 1: B:- 1
qsc gkea oa oifnktsd O dco biocbtiz cf gsfbkf dc B/ rk rc bifibc d:
Oa oifnktsd O cr k`}iztaftc8 rk }iz cec`}oi5 d: 0 1= b`/ bif B 0 1=/ rc tkcfc O 0 3/3 `&
Sfa dkr`kfsbkf dco waoiz dc O cf 1)2/ a}cfar `idkgkba co fnsoi dc ajcztsza/ }czi kfgos{c rcfrkjoc-
`cftc cf co }zcbki dc oar rs}czgkbkcr zcgocbtaftcr {/ }iz oi tafti/ dco biocbtiz&
Cf oa Tajoa KW&: rc kfdkbaf aonsfir }az`ctzir { rsr waoizcr bizzcr}ifdkcftcr }aza dkrtkftir nza-
dir dc bifbcftzabkf& Oa nzaf wcftaea dc crtc tk}i dc biocbtiz cr qsc }zbtkba`cftc }cz`afcbc gkei/ }zc-
bkrafdi dc aonsfir aesrtcr cf oa izkcftabkf rcnf oa }iba dco ai/ ba}tafdi oa zadkabkf dkzcbta dszaf-
tc sf k`}iztaftc f`czi dc lizar a oi oazni dco da/ bi`i rc kfdkba cf oa Tajoa KW&2&
Co f dc lizar dc ba}tabkf dkr`kfs{c ao as`cftaz oa bifbcftzabkf8 ar/ }iz cec`}oi/ cf co riortkbki
}ara dc > lizar }aza B0 1= { 0 7/ a 4/4 lizar }aza B 0 :=/3 :4 1== :=3 43/3 < 1== 1:
1= 2=/3 2 1== { abtsaz bi`i dkr}irktkwi aftkzadkaftc&Ta`jkf rc }scdcf aribkaz dir biocbtizcr kdcaocr bif fdkbcr dc zcgzabbkf dkgczcftcr/ Gkn KW&:
7/23/2019 Construccin de concentradores reflectores solares
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}aza sf abi}oa`kcfti bzkrtao-akzc/ oa zcoabkff:f1
0 1/3 &
Ba}tadiz }oafi
Gkn KW&:>Bifbcftzadiz }azajokbi bi`}scrti aribkadi a sf ba}tadiz }oafi
Gkn KW&:/3 ;13 >/3
Riortkbki :2/3 >
Bifbcftzadizcr tzifbibfkbir&- Oir cr}ceir tzifbibfkbir }scdcf rczwkz }aza kzzadkaz sfa uifa
gibao okfcao& Co zc}azti dc oa zadkabkf zcgoceada fi cr `s{ li`infci a basra dc oa wazkabkf dc oa rs-
}czgkbkc zcgocbtiza oatczao cftzc oar jarcr dco tzifbi dc bifi& Rk co fnsoi cf co wztkbc dco bifi cr:/ Gkn
KW&:;/ rc }scdc bi`}zijaz qsc oa bifdkbkf }aza qsc sf lau kfbkdcftc }azaocoi ao cec dco cr}cei/ rc zcgocec
cf oa }zk`cza zcgoc|kf cf oa jarc dco bifi }aza ? 43/ cr5
: - : 6 =
- Rk/ 0 43/ oa zadkabkf kfbkdcftc rc zcgocea rijzc co cec }zidsbkfdirc oa `|k`a bifbcftzabkf- Rk/ 6 43/ oa zadkabkf cr zcgoceada labka azzkja- Rk co bifi tkcfc oa rsgkbkcftc aotsza/ }aza bsaoqskcz waoiz dco fnsoi cf co wztkbc/ oa zadkabkf zcgocea-
da abaja rkc`}zc ajafdifafdi co biocbtiz
Gkn KW&:;&- Bifbcftzadiz tzifbibfkbi/zcbc}bkf cf oa jarc Gkn KW&2=&- Bifbcftzadiz tzifbibfkbi8 zcbc}bkf cf co cec
Oir cr}ceir bfkbir fi rif jscfir bifbcftzadizcr& Rkf c`jazni/ }aza aonsfar a}okbabkifcr `s{
bifbzctar/ bi`i }iz cec`}oi/ ba}tafdi oa k`ancf dc Nasrr/ giz`ada cf co wztkbc dc sf bifbcftzadiz
}azajokbi/ cf oa jarc `a{iz dco cr}cei tzifbibfkbi/ rc }scdc kfdsbkz oa bifbcftzabkf a rs waoiz `|k-`i rkf qsc a}azcubaf }zdkdar k`}iztaftcr dc gosei&
KW&-;=
7/23/2019 Construccin de concentradores reflectores solares
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KW&;&- ZCFDK@KCFTI TZ@KBI DC SF BIOCBTIZ BKOFDZKBI ]AZAJOKBI
Wa`ir a bifrkdczaz sf bifbcftzadiz bkofdzkbi }azajokbi { sf zcbc}tiz bkzbsoaz rkf bsjkczta ,0 1+/
aozcdcdiz dco bsao fi c|krtcf nzadkcftcr dc tc`}czatsza&
Co bicgkbkcftc dc tzafr`krkf dc baoiz cftzc co tsji a Tz { co goskdi a TG qsc bkzbsoa }iz rs kftczkiz cr
lbG { co bicgkbkcftc noijao dc }zdkdar ao c|tczkiz Sb/ dc oa giz`a5
1
SB0 1lwkcfti
( 1lz
rkcfdi5lz co bicgkbkcftc dc zadkabkf/ knsao a 5 lz 0 4 z T
2
z oa c`ktafbka dco zcbc}tizT oa tc`}czatsza `cdka dc oa zadkabkf
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7/23/2019 Construccin de concentradores reflectores solares
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7/23/2019 Construccin de concentradores reflectores solares
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