ࡱ> VXU`u'`"bbjbjLULU7f.?.?(%6fffffffz8L"|z':U&W&W&W&W&W&W&$(hh*{&Qf{&ff&M#M#M#4ffU&M#U&M#M#ffM# ?I!M#Q$&0'M#+="+M#+fM#M#QtP{&{&"X'zzz$zzzzzzffffff EMPREGO DE MODELO PARAMETRIZADO PARA ESTIMATIVA DE IRRADINCIA SOLAR DIRETA EM SUPERFCIE NA AUSNCIA DE NUVENS Marcio Ceconi1*; Fernando Ramos Martins2; Nelson Jorge Schuch1; Eduardo Weide Luiz1; Alexandre Ceretta Dalla Favera1; Enio Bueno Pereira2 1 Laboratrio de Recursos de Energia Renovveis do Centro Regional Sul de Pesquisas Espaciais CRS/CCR/INPE MCT, em parceria com o Laboratrio de Cincias Espaciais de Santa Maria LACESM/CT UFSM, Santa Maria RS. 2 Centro de Cincia do Sistema Terrestre CCST/INPE MCT, So Jos dos Campos SP. 1. Introduo Um bom planejamento energtico determinante para o desenvolvimento de um pas. No entanto, o contraste entre o aumento do consumo de energia, decorrente principalmente do crescimento econmico dos pases em desenvolvimento, e a escassez dos recursos energticos mais utilizados atualmente, bem como a preocupao com a degradao ambiental gerada pela prpria extrao e utilizao desses recursos, tem incentivado a busca por fontes alternativas de energia, em especial solar e elica. Nesse sentido, tornam-se necessrios estudos sobre a disponibilidade dos recursos energticos renovveis em diferentes lugares e diferentes pocas do ano. Com esse objetivo, so apresentados na literatura tcnico-cientfica modelos de estimativa de irradiao solar com base na parametrizao dos processos de transferncia radiativa que ocorrem na atmosfera, entre seus constituintes e a radiao solar, como o caso dos modelos parametrizados A, B e C propostos por Iqbal (1983). O trabalho, desenvolvido no Laboratrio de Recursos de Energia Renovveis do Centro Regional Sul de Pesquisas Espaciais LRER/CRS/CCR/INPE MCT, em Santa Maria RS, tem por finalidade descrever as anlises estatsticas realizadas para avaliar a adaptao de um modelo parametrizado simples para estimativa de irradincia solar direta em superfcie para dias desprovidos de nebulosidade, denominado modelo C (Iqbal, 1983), base de dados da estao de referncia SONDA-SMS instalada no Observatrio Espacial do Sul (Lat: 29,44S, Lon: 53,82O). 2. Metodologia O modelo C de Iqbal (1983), apresentado na equao (1), foi desenvolvido a partir de contribuies realizadas por vrios pesquisadores, em especial Bird & Hulstron (1980), e surgiu de anlises comparativas do modelo matemtico SOLTRAN, construdo a partir de modelo LOWTRAN, de Selby & McClatchey (1975) e Selby et al. (1978). O modelo utiliza equaes parametrizadas para a transmitncia da irradincia solar direta a partir da influncia exercida pelo espalhamento e absoro por molculas de ar (espalhamento Rayleigh), pela camada de oznio, aerossis, gases atmosfricos e vapor dgua, abrangendo o intervalo espectral de 300 a 3000 nm.  (1) Onde Eo o fator de correo de excentricidade da rbita da Terra, Isc a constante solar (1368 Wm-2), e R, o, g, w, a representam, respectivamente, as transmitncias associadas ao espalhamento Rayleigh, absoro e espalhamento pelo oznio, gases atmosfricos, vapor d gua e aerossis, parametrizadas de acordo com as equaes (2) a (6).  (2)  (3)  (4)  (5)  (6) Onde Uo=lmr, sendo l a espessura da camada vertical de oznio expressa em centmetros, Uw=wmr, em que w a gua precipitvel em centmetros, mr a massa tica relativa de ar, dada pela equao (7), ma a massa tica relativa de ar corrigida com dados de presso atmosfrica (Iqbal, 1983), e Vis a visibilidade horizontal em quilmetros, calculada de acordo com a equao (8), sendo x=0,55-, em que  e  so os parmetros de Angstrom associados espessura tica de aerossis atmosfricos (Mchler & Iqbal, 1985).  (7)  (8) Os dados utilizados no trabalho foram coletados na estao de referncia do Projeto SONDA (Sistema de Organizao Nacional de Dados Ambientais) instalada no Observatrio Espacial do Sul OES/CRS/CCR/INPE MCT, em So Martinho da Serra RS, referenciada por SONDA-SMS. O Projeto SONDA coordenado pelo Centro de Cincia do Sistema Terrestre CCST/INPE, em parceria com o Centro de Previso do Tempo e Estudos Climticos CPTEC/INPE, e visa a implantao de uma rede de infra-estrutura fsica e de recursos humanos destinada coleta e qualificao de dados elicos, solarimtricos e meteorolgicos de alta qualidade no Brasil. Adicionalmente, foram utilizadas medidas da espessura da camada vertical de oznio observadas pela misso Total Ozone Mapping Spectrometer (TOMS) da NASA. As medidas coletadas na estao SONDA-SMS utilizadas contemplam dados de espessura tica de aerossis e gua precipitvel realizadas por um Fotmetro Aeronet Cimel CE 318 (Cimel Electronique), de presso atmosfrica em superfcie realizada por um Barmetro Vaisala PTB 101 e de irradincia solar direta normal realizada por um Pirelimetro NIP (Eppley Lab. Inc.). Somente foram utilizados dados em dias com cu claro, desprovidos ou com pouca nebulosidade, do perodo de 15 de Setembro a 30 de Outubro de 2009. O desempenho do modelo C foi avaliado atravs do clculo dos desvios estatsticos MBE (Mean Bias Error) e RMSE (Root Mean Square Error), definidos nas equaes (9), entre as estimativas do modelo e as medidas de irradincia solar direta coletadas em superfcie. Os valores obtidos so divididos pelo valor mdio das medidas, expressando-se o resultado em percentagem.  EMBED Equation.3   EMBED Equation.3  (9) 3. Resultados e Discusso O bom desempenho do modelo C na estimativa de irradincia solar direta para o Observatrio Espacial do Sul pode ser observado atravs do grfico da Figura 1, em que se apresentam os valores estimados e medidos para todos os dias de cu claro selecionados.  EMBED Origin50.Graph  Fig. 1 Valores estimados pelo modelo C, em comparao com as medidas coletadas no Observatrio Espacial do Sul para o perodo de dados analisado. As curvas dos valores estimados pelo modelo C para cada um dos dias de cu claro selecionados, juntamente com a disperso das medidas da estao SONDA-SMS, so apresentadas na Figura 2.  Fig. 2 Disperso das medidas coletadas no Observatrio Espacial do Sul, juntamente com as estimativas do modelo C para os dias selecionados: (a) 15/09/2009; (b) 25/09/2009; (c) 03/10/2009; (d) 12/10/2009; (e) 13/10/2009; (f) 18/10/2009; (g) 19/10/2009; (h) 20/10/2009; (i) 27/10/2009. Os desvios estatsticos MBE e RMSE calculados entre as estimativas do modelo C e as medidas coletadas no Observatrio Espacial do Sul para os dias selecionados so apresentados na Tabela 1. Adicionalmente, foram calculados os desvios estatsticos com todos os dados disponveis, resultando nos valores de 26,35 W/m (3,15%) para MBE e de 53,15 W/m (6,35%) para RMSE. Tab. 1 Desvios estatsticos para os dias selecionados. Dia JulianoMBE [W/m]MBE [%]RMSE [W/m]RMSE [%]25896,1412,42108,9914,082687,950,9723,562,87276-25,70-2,9830,233,5128545,005,3552,776,2728626,063,1130,713,672914,580,5229,773,3629234,114,2337,674,6829314,551,6969,408,0830015,571,8128,873,36 De modo geral, os resultados mostram um bom desempenho do modelo C para estimativas de irradincia solar direta normal em superfcie para a regio do Observatrio Espacial do Sul, com predominncia de sobre-estimativa (MBE > 0) em relao aos valores medidos. Os desvios RMSE prevaleceram entre 2% a 8%, com exceo do dia 15/09/2009, que apresentou RMSE de 14,08%, o que j era esperado da anlise do grfico da Figura 2 (a), onde se observa claramente que os valores estimados pelo modelo so superiores aos valores medidos. 4. Concluso O modelo C, com as parametrizaes adotadas no trabalho, mostrou timo desempenho quando aplicado base de dados da estao de referncia do Projeto SONDA instalada no Observatrio Espacial do Sul, conforme possvel perceber pelos baixos desvios estatsticos apresentados entre suas estimativas e as medidas em superfcie, cujos valores RMSE permaneceram entre 2% a 14%. Como continuidade do trabalho, pretende-se adaptar parametrizaes para que se possam estimar as componentes difusa e global da irradincia solar em superfcie, em especial para condies variadas de nebulosidade. Agradecimentos FINEP/MCT e Petrobrs pelo financiamento do Projeto SONDA, ao Programa PIBIC/INPE CNPQ/MCT pela aprovao dos Projetos de Iniciao Cientfica e ao LACESM/CT UFSM por apoios prestados. Referncias Bibliogrficas [1] Iqbal, M. An Introduction to Solar Radiation, Toronto, Academic Press Canada, 390p., 1983. [2] Liou, K. N. An Introduction to Atmospheric Radiation, New York, Academic Press Inc., 392p., 1980. [3] Mchler, M.A. PYZ]opq~ . / 0 = > ˿vnf^hDOJQJhrOJQJh~<\OJQJhY?hY?5OJQJhY?5OJQJha4OJQJh>:H*OJQJhlB6OJQJhGP6OJQJhGPH*OJQJhGPOJQJh>:h>:5OJQJhGP5CJOJQJaJh 5CJOJQJaJhpl5CJOJQJaJh>:5CJOJQJaJ!pq / 0 > ./>% $da$gd  $da$gdwU $da$gdwU$d`a$gdD $da$gdY? $da$gdlB $da$gdGPa!bh,-./=>?x}CżŠ}nf^UJ^hw6H*OJQJhw6OJQJhwOJQJhwUOJQJhlOJQJmHnHtHu,jhlhlOJQJUmHnHtHuh -#h -#6OJQJh -#OJQJhIOJQJhY?hY?5OJQJhY?5OJQJhY?OJQJhZ@OJQJhDhrOJQJhrOJQJhDOJQJhDOJQJh>:OJQJCDFce   "$v  &'*-58BǨǠǐyǘǐ,jh h OJQJUmHnHtHuhOJQJhOJQJhlOJQJ,jh h OJQJUmHnHtHuhwUOJQJh OJQJhwhwOJQJhwH*OJQJhwOJQJhw6H*OJQJhw6OJQJ&%&AB,-AA !!9! $da$gdY? $da$gd $da$gd $da$gd $da$gd $da$gd BCdgw{567:;DElmoћ~sh6H*OJQJh6OJQJhl6H*OJQJhl6OJQJhlOJQJ,j'hhOJQJUmHnHtHu,jmh h OJQJUmHnHtHuhOJQJhOJQJh OJQJ,j-h h OJQJUmHnHtHu-!#-0@A@A|s|kbkZhDOJQJh k6OJQJh kOJQJhEv#6OJQJhEv#OJQJh\6OJQJh\OJQJh>OJQJhuOJQJ,j6hhOJQJUmHnHtHuhOJQJ,j/hhOJQJUmHnHtHuhOJQJh6OJQJhh6OJQJhOJQJ#A !!!!8!9!'C'I'N'G;;;;; d$Ifgd|kdG$$IfTlrT W! t0644 layt|TN'O'S'Y'^'d'i'G;;;;; d$Ifgd|kd$$IfTlrT W! t0644 layt|Ti'j'n't'y'''G;;;;; d$Ifgd|kd$$IfTlrT W! t0644 layt|T'''''''G;;;;; d$Ifgd|kdT$$IfTlrT W! t0644 layt|T'''))G<1& $da$gdY? $da$gd[b $da$gd[bkd$$IfTlrT W! t0644 layt|T))6+ ,,,,,,Z--``uaaaaaaaaaaabdgdY? $da$gd~<\ $da$gdI" $da$gdY?,,,-`7`@``Tauayaaaaaaaaaaaabb b!b"bԸh"6zhh"6zOJQJh"6zOJQJhY?h"6zOJQJhOKjhOKUh~<\hY?OJQJmH sH h~<\h~<\OJQJUh~<\h~<\OJQJmH sH h~<\OJQJmH sH h~<\hY?5OJQJmH sH arametrization of solar irradiation under clear skies. M.A. Sc. Thesis, University of British Columbia, Vancouver, Canada, 1985. [4] Mchler, M.A., Iqbal, M. A Modification of ASHRAE clear sky irradiation model. Trans. ASHRAE A 91, 106-115, 1985. [5] Pereira, E.B., Martins, F.R., Abreu, S.L., Ruther, R. Atlas Brasileiro de Energia Solar. So Jos dos Campos: UNEP, 2006. [6] Wallace, J. M.; Hobbs, P. V. Atmospheric Science: an introductory survey, San Diego, Academic Press, 467p. 1977.     *E-mail do Autor: ceconi@lacesm.ufsm.br b b!b"b $da$gdY?5 01h:p. A!n"n#n$S% Dd Fx  T:SA?Imagem 148b#v+,~cDDKnv+,~cDPNG  IHDR!osRGB pHYs+IDATx^Y=R06$yCC!yZn3!-]r ii&y=c< ǫo?}֮|Nh3g H#1@Rh CR# Im$) I40$0$5H F"Wjz]NDjJ]b-}Sab٘+2nif&D|+!I2?=1GqڦInO]{/˹u3T9~xD06T |f rxٍV k֍%4#\bvp7v%왟ք XV7Izpnj5N҇i'X׷NnUby|t'sٽpc}ǁ I+e&;'Vr|Wp_q3bz*Ts7BjJ7xz 8vR+ጫf&# kT!EUsW{VUeo]O P;awuլV[|<t9ql (r8 &/F /ޟFnb[>l/"iˡ* ZsxIApZ+%VLR3wf)~4gus[KM1eInO^X oJ{˘Crכ,mV,;'xeOT@lىĺaDVN{\:۫ rZ).eef b-HvC _6+98?P'Oi. 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