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Grandes Centrales Fotovoltaicas
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Grandes Centrales Fotovoltaicas:
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Producción, Seguimiento y Ciclo de Vida
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Oscar Perpiñán
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Oscar Perpiñán Lamigueiro
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Director: Prof.
Dr.
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Eduardo Lorenzo Pigueiras
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Co-directores: Prof.
Dr.
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Manuel-Alonso Castro Gil
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Dr.
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Ramón Eyras Daguerre
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ISOFOTON S.A.
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IES-UPM
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DIEEC-UNED
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Dpto.
de Ingeniería Eléctrica, Electrónica y de Control
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ETSII-UNED
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2 de Abril de 2008
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frametitle{Índice}
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Introducción
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Objetivo
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{}
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Establecer recomendaciones de carácter universal para la adecuada implantación
de plantas fotovoltaicas multimegawatios:
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\begin_layout Itemize
Estimar
\begin_inset Formula $\Rightarrow$
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Energía producida por un SFCR
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Diseñar
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Seguimiento y Sombras
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Entender
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Análisis del Ciclo de Vida
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Proyectos
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SFCR Photocampa
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5cm
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Sección de 5\InsetSpace \thinspace{}
000 m² de una Campa de almacenamiento de vehículos en el Puerto
de Tarragona.
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Generador de 318 kWp.
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2\InsetSpace \thinspace{}
992 módulos I-106.
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Estructuras metálicas tipo aparcamiento.
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Inclinación de
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.
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5cm
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SFCR Forum
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Generador fotovoltaico de 3\InsetSpace \thinspace{}
410 m
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, 443,2 kWp.
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2\InsetSpace \thinspace{}
686 módulos I-165 con Tedlar transparente y sin marco.
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La altura máxima de la estructura alcanza los 54 metros sobre el nivel del
mar.
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5cm
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SFCR Carmona
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{Descripción}
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Extensión de 47 ha.
Potencia total de 6,02 MWp.
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Tres agrupaciones independientes de potencia nominal de 1\InsetSpace \thinspace{}
875 MW.
Cada agrupación está formada por 19 sistemas
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18 Sistemas con una potencia nominal de 100 kW
\newline
(4 Seguidores)
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1 Sistema de 75 kW de potencia (3 Seguidores).
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SFCR Carmona
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225 seguidores.
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87 RUMBO25 con módulo IS-207 (27,3 kWp).
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138 ISOTRACK25 con módulo IS-200 (26,4 kWp).
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Inversor de 25 kW alojado en el fuste del propio seguidor.
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5cm
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Cálculo de Energía
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Comportamiento estocástico de la radiación
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Introducción
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La energía producida a lo largo de un determinado periodo puede ser estimada
a partir del valor medio de la radiación efectiva incidente en el generador,
asumiendo el conocimiento de ciertas características básicas del sistema
en estudio.
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El valor resultante de esta estimación está sometido a un cierto grado de
incertidumbre debido a la componente aleatoria de la radiación solar.
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Este comportamiento aleatorio está definido por dos características principales:
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La distribución de valores que presenta la radiación solar durante un periodo
está determinada por el valor promedio de la radiación durante ese periodo.
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El valor de radiación diaria está determinado en gran medida por el valor
correspondiente al día anterior.
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A partir de doce valores de radiación diaria media mensual se generan días
promedio para cada mes o secuencias de valores para todos los días del
año.
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A estos valores generados se les aplica una secuencia de transformaciones
para calcular la energía anual producida por el SFCR:
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Inclinación y orientación del generador
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Características del generador fotovoltaico (potencia nominal y comportamiento
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Características del inversor (potencia nominal y curva de eficiencia)
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Métodos de estimación de energía
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{Potencia de Entrada}
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psline[arrowscale=2]{->}(6.5,0)(8,0)
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\begin_layout Standard
\backslash
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\begin_layout Standard
\backslash
rput(9,0){%inversor
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\begin_layout Standard
\backslash
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\backslash
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\begin_layout Standard
\backslash
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\begin_layout Standard
\backslash
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\backslash
sim$}
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\begin_layout Standard
\backslash
rput(0,-2){$P_{inv},
\backslash
eta_{inv}$}
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\begin_layout Standard
}
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\begin_layout Standard
\backslash
psline[arrowscale=2]{->}(10,0)(12,0)
\end_layout
\begin_layout Standard
\backslash
rput(11,-0.5){$P_{ac}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pscircle[fillstyle=solid](0,0){1}%sol
\end_layout
\begin_layout Standard
\backslash
rput(2.2,-0.75){$G_{ef},T_a$}
\end_layout
\begin_layout Standard
\backslash
psline[arrowscale=2]{->}(1,0)(3.5,0)
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\begin_layout Standard
\backslash
SpecialCoor
\end_layout
\begin_layout Standard
\backslash
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\backslash
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\backslash
psline(1,1;
\backslash
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\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\end_deeper
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Perdidas en el inversor}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \begin{eqnarray*}
\eta_{inv} & = & 1-\frac{p_{L}}{p_{i}}\\
p_{L} & = & k_{0}^{i}+k_{1}^{i}p_{i}+k_{2}^{i}p_{i}^{2}\end{eqnarray*}
\end_inset
\end_layout
\end_deeper
\begin_layout BeginPlainFrame
Ecuaciones
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{figure}[!htp]
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
begin{center}
\end_layout
\begin_layout Standard
\backslash
pspicture(-1,-1.4)(6.8,1)
\end_layout
\begin_layout Standard
%
\backslash
psframe(-1,-1.4)(6.8,1)
\end_layout
\begin_layout Standard
%
\backslash
psgrid
\end_layout
\begin_layout Standard
\backslash
psset{unit=.6cm}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
rput{0}(5,0){%modulo
\end_layout
\begin_layout Standard
\backslash
psframe[fillstyle=solid](-1.5,-1)(1.5,1)
\end_layout
\begin_layout Standard
\backslash
psline(-1.5,-1)(0,0)
\end_layout
\begin_layout Standard
\backslash
psline(-1.5,1)(0,0)
\end_layout
\begin_layout Standard
\backslash
rput(0,-1.5){$P_g^*,
\backslash
eta_g$}
\end_layout
\begin_layout Standard
}
\end_layout
\begin_layout Standard
\backslash
psline[arrowscale=2]{->}(6.5,0)(8,0)
\end_layout
\begin_layout Standard
\backslash
rput(7.25,-0.5){$P_{dc}$}
\end_layout
\begin_layout Standard
\backslash
rput(9,0){%inversor
\end_layout
\begin_layout Standard
\backslash
psframe[fillstyle=solid](-1,-1.5)(1,1.5)
\end_layout
\begin_layout Standard
\backslash
psline(-1,-1.5)(1,1.5)
\end_layout
\begin_layout Standard
\backslash
rput{0}(-0.5,1){=}
\end_layout
\begin_layout Standard
\backslash
rput{0}(0.5,-1){$
\backslash
sim$}
\end_layout
\begin_layout Standard
\backslash
rput(0,-2){$P_{inv},
\backslash
eta_{inv}$}
\end_layout
\begin_layout Standard
}
\end_layout
\begin_layout Standard
\backslash
psline[arrowscale=2]{->}(10,0)(12,0)
\end_layout
\begin_layout Standard
\backslash
rput(11,-0.5){$P_{ac}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pscircle[fillstyle=solid](0,0){1}%sol
\end_layout
\begin_layout Standard
\backslash
rput(2.2,-0.75){$G_{ef},T_a$}
\end_layout
\begin_layout Standard
\backslash
psline[arrowscale=2]{->}(1,0)(3.5,0)
\end_layout
\begin_layout Standard
\backslash
SpecialCoor
\end_layout
\begin_layout Standard
\backslash
multido{
\backslash
iAngle=15+30}{12}{
\backslash
psline(1,1;
\backslash
iAngle)(1,4;
\backslash
iAngle)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\end_deeper
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Perdidas en el inversor}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \[
p_{L}=\sum_{n=0}^{4}A_{n,L}G_{ef}^{n}\]
\end_inset
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout BeginPlainFrame
Ecuaciones
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{figure}[!htp]
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
begin{center}
\end_layout
\begin_layout Standard
\backslash
pspicture(-1,-1.4)(6.8,1)
\end_layout
\begin_layout Standard
%
\backslash
psframe(-1,-1.4)(6.8,1)
\end_layout
\begin_layout Standard
%
\backslash
psgrid
\end_layout
\begin_layout Standard
\backslash
psset{unit=.6cm}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
rput{0}(5,0){%modulo
\end_layout
\begin_layout Standard
\backslash
psframe[fillstyle=solid](-1.5,-1)(1.5,1)
\end_layout
\begin_layout Standard
\backslash
psline(-1.5,-1)(0,0)
\end_layout
\begin_layout Standard
\backslash
psline(-1.5,1)(0,0)
\end_layout
\begin_layout Standard
\backslash
rput(0,-1.5){$P_g^*,
\backslash
eta_g$}
\end_layout
\begin_layout Standard
}
\end_layout
\begin_layout Standard
\backslash
psline[arrowscale=2]{->}(6.5,0)(8,0)
\end_layout
\begin_layout Standard
\backslash
rput(7.25,-0.5){$P_{dc}$}
\end_layout
\begin_layout Standard
\backslash
rput(9,0){%inversor
\end_layout
\begin_layout Standard
\backslash
psframe[fillstyle=solid](-1,-1.5)(1,1.5)
\end_layout
\begin_layout Standard
\backslash
psline(-1,-1.5)(1,1.5)
\end_layout
\begin_layout Standard
\backslash
rput{0}(-0.5,1){=}
\end_layout
\begin_layout Standard
\backslash
rput{0}(0.5,-1){$
\backslash
sim$}
\end_layout
\begin_layout Standard
\backslash
rput(0,-2){$P_{inv},
\backslash
eta_{inv}$}
\end_layout
\begin_layout Standard
}
\end_layout
\begin_layout Standard
\backslash
psline[arrowscale=2]{->}(10,0)(12,0)
\end_layout
\begin_layout Standard
\backslash
rput(11,-0.5){$P_{ac}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pscircle[fillstyle=solid](0,0){1}%sol
\end_layout
\begin_layout Standard
\backslash
rput(2.2,-0.75){$G_{ef},T_a$}
\end_layout
\begin_layout Standard
\backslash
psline[arrowscale=2]{->}(1,0)(3.5,0)
\end_layout
\begin_layout Standard
\backslash
SpecialCoor
\end_layout
\begin_layout Standard
\backslash
multido{
\backslash
iAngle=15+30}{12}{
\backslash
psline(1,1;
\backslash
iAngle)(1,4;
\backslash
iAngle)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\end_deeper
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Perdidas en el inversor}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \begin{eqnarray*}
A_{0,L} & = & k_{0}^{i}\\
A_{1,L} & = & k_{1}^{i}A_{1,g}\\
A_{2,L} & = & k_{1}^{i}A_{2,g}+k_{2}^{i}A_{1,g}^{2}\\
A_{3,L} & = & 2k_{2}^{i}A_{1,g}A_{2,g}\\
A_{4,L} & = & k_{2}^{i}A_{2,g}^{2}\end{eqnarray*}
\end_inset
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout BeginFrame
Ecuaciones
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Dominio de la Irradiancia}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \[
E_{dc}=P_{inv}T\int\limits _{G}p_{i}(G)f_{G_{ef}}(G)dG\]
\end_inset
\begin_inset Formula \[
E_{dc}=P_{inv}T\left(A_{1,g}^{y}\int\limits _{G}G_{ef}f_{G_{ef}}(G)dG+A_{2,g}\int\limits _{G}G_{ef}^{2}f_{G_{ef}}(G)dG\right)\]
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula \[
E_{L}=P_{inv}T\left\{ {\displaystyle \sum_{n=0}^{4}A_{n,L}\left[\int\limits _{G}G_{ef}^{n}f_{G_{ef}}(G)dG\right]}\right\} \]
\end_inset
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout BeginFrame
Ecuaciones
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Momentos estadísticos}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \[
m_{n}=\int\limits _{G}G^{n}f_{G}(G)dG\]
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula \begin{eqnarray*}
m_{n} & = & \frac{\sum\limits _{G}G_{ef}^{n}}{N_{s}}\end{eqnarray*}
\end_inset
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout BeginFrame
Ecuaciones
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Método de los momentos}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \begin{eqnarray*}
E_{dc} & = & P_{inv}T\left(A_{1,g}m_{1}+A_{2,g}m_{2}\right)\\
E_{L} & = & P_{inv}T\sum_{n=0}^{4}A_{n,L}m_{n}\end{eqnarray*}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula \[
E_{ac}=P_{inv}T\sum_{n=0}^{4}A_{n,ac}m_{n}\]
\end_inset
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout BeginFrame
Validación
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Photocampa}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Standard
Energía
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
Estimación
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
Medida
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
Diferencia
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
(kWh)
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
(kWh)
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
(%)
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
\begin_inset Formula $E_{dc}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
95\InsetSpace \thinspace{}
249
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
93\InsetSpace \thinspace{}
361
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
2,02
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
\begin_inset Formula $E_{L}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
9\InsetSpace \thinspace{}
677
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
9\InsetSpace \thinspace{}
623
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
0,44
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
\begin_inset Formula $E_{ac}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
85\InsetSpace \thinspace{}
572
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
83\InsetSpace \thinspace{}
737
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
2,22
\end_layout
\end_inset
|
\end_inset
\end_layout
\end_deeper
\begin_layout BeginFrame
Validación
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Estación de medida externa}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Itemize
\emph on
Predicción
\emph default
de energía a partir de una base de datos de radiación global en el plano
horizontal
\end_layout
\begin_deeper
\begin_layout Itemize
Distante en el espacio (10 km) y en el tiempo (5 años).
\end_layout
\begin_layout Itemize
Transformación de plano horizontal a inclinado.
\end_layout
\begin_layout Itemize
La evolución de la suciedad se puede aproximar como una constante.
\end_layout
\end_deeper
\end_deeper
\begin_layout BeginFrame
Validación
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Estación de medida externa}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Standard
Paso
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Método
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Descomposición de irradiación global diaria horizontal en Difusa y Directa.
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Correlación entre fracción de difusa con índice de claridad, según ecuación
de Collares-Pereira y Rabl.
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Estimación de irradiancia a partir de irradiación diaria.
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Ratio de irradiancia global a irradiación global diaria según Collares-Pereira
y Rabl.
\end_layout
\end_inset
|
\end_inset
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout BeginFrame
Validación
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{Estación de medida externa}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Standard
Paso
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Método
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Estimación de irradiancia en superficie inclinada a partir de componentes
de irradiancia horizontal.
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Método de Hay y Davies.
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Irradiancia de albedo.
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Irradiancia difusa isotrópica con factor de reflexión 0,2.
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Efectos de suciedad y pérdidas angulares por incidencia no perpendicular.
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Ecuaciones propuestas por N.
Martín y J.M.
Ruiz (grado bajo de suciedad)
\end_layout
\end_inset
|
\end_inset
\end_layout
\end_deeper
\begin_layout BeginFrame
Validación
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{FORUM}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Standard
Energía
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
Estimación
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
Medida
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
Diferencia
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
(kWh)
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
(kWh)
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
(%)
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
\begin_inset Formula $E_{dc}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
62\InsetSpace \thinspace{}
355
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
65\InsetSpace \thinspace{}
149
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
4,29
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
\begin_inset Formula $E_{L}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
3\InsetSpace \thinspace{}
011
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
2\InsetSpace \thinspace{}
900
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
-3,82
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
\begin_inset Formula $E_{ac}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
59\InsetSpace \thinspace{}
344
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
62\InsetSpace \thinspace{}
249
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\color black
4,67
\end_layout
\end_inset
|
\end_inset
\end_layout
\end_deeper
\begin_layout BeginFrame
Relevancia de los métodos estadísticos
\end_layout
\begin_layout Standard
\begin_inset Formula \[
E_{ac}\simeq P_{inv}T\sum_{n=0}^{2}A_{n,ac}m_{n}\]
\end_inset
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Standard
Momentos incluidos en el cálculo
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Error (%)
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\begin_inset Formula $m_{1}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family roman
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
2,83%
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\begin_inset Formula $m_{1},m_{2}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family roman
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
-0,84%
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\begin_inset Formula $m_{1},m_{2},m_{3}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family roman
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
0,05%
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\begin_inset Formula $m_{1},m_{2},m_{3},m_{4}$
\end_inset
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
-
\end_layout
\end_inset
|
\end_inset
\end_layout
\begin_layout EndFrame
\end_layout
\begin_layout Subsection
Representatividad de series de radiación
\end_layout
\begin_layout BeginPlainFrame
Transformaciones
\end_layout
\begin_layout Standard
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Standard
Acrónimo
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Descripción
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\emph on
Sx_Rx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Muestreada y almacenada a intervalos de
\emph on
x
\emph default
minutos (siendo
\emph on
S1_R1
\emph default
la secuencia original)
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\emph on
S1_RAx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Muestreada a intervalos de 1 minuto y almacenada a intervalos de
\emph on
x
\emph default
minutos
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\emph on
MARx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Día promedio mensual compuesto por muestras cada
\emph on
x
\emph default
minutos a partir de
\emph on
Sx_Rx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family sans
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
MARAx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family sans
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
Día promedio mensual compuesto por muestras cada x minutos a partir de S1_RAx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family sans
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
MTDx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family sans
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
Día promedio mensual compuesto por muestras cada x minutos a partir de los
perfiles de irradiancia propuestos por Liu y Collares, obteniendo el valor
medio mensual de irradiación diaria a partir de Sx_Rx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family sans
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
YADx
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
\family sans
\series medium
\shape up
\size normal
\emph off
\bar no
\noun off
\color none
Día Típico anual construido con muestras cada x minutos a partir de Sx_Rx
\end_layout
\end_inset
|
\end_inset
\end_layout
\begin_layout EndFrame
\end_layout
\begin_layout BeginPlainFrame
Resultados
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename /home/oscar/Tesis/DocsPropios/tesis/FigurasPS/IES_Eac_cmpESP.ps
scale 42
scaleBeforeRotation
rotateAngle -90
\end_inset
\end_layout
\begin_layout EndFrame
\end_layout
\begin_layout BeginFrame
Conclusión
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Itemize
La complejidad exigible a un modelo de radiación solar es muy baja cuando
se trata de estimar la energía anual producida por un SFCR.
\end_layout
\begin_layout Pause
\end_layout
\begin_layout Itemize
Resoluciones temporales mejores que el muestreo horario no contribuyen significa
tivamente a mejorar el resultado de las estimaciones.
\end_layout
\begin_layout Pause
\end_layout
\begin_layout Itemize
El conjunto de doce medias mensuales de radiación diaria es suficiente para
conseguir estimaciones con errores por debajo del 3%.
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout Section
Seguimiento Solar
\end_layout
\begin_layout Subsection
Ecuaciones de seguimiento
\end_layout
\begin_layout BeginPlainFrame
Ángulo de Incidencia
\newline
SFCR Estático
\end_layout
\begin_layout Columns
\end_layout
\begin_deeper
\begin_layout Column
4cm
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{figure}[!htp]
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{hatchwidth=0.02}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rad{
\backslash
Lns }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
radang{
\backslash
rad 2.2 div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
az{60 }%cuidado con los signos
\end_layout
\begin_layout Standard
\backslash
def
\backslash
el{30 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
BETA{30 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
ALFA{45 }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
W{23 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
L{10 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lns{30 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lew{50 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
TANel{
\backslash
el sin
\backslash
el cos div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
begin{center}
\end_layout
\begin_layout Standard
\backslash
psset{unit=.5cm}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pspicture(-4,-4)(8,8)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{THETA=10,PHI=20,Dobs=
\backslash
Lew 2 mul,Decran=20,arrowsize=0.3}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,0,0){O}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,0,30){Z}
\end_layout
\begin_layout Standard
\backslash
uput[u](Z){$
\backslash
vec{
\backslash
mu}_c$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(30,0,0){X}
\end_layout
\begin_layout Standard
\backslash
uput[l](X){$
\backslash
vec{
\backslash
mu}_h$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(30,90,0){Y}
\end_layout
\begin_layout Standard
\backslash
uput[r](Y){$
\backslash
vec{
\backslash
mu}_
\backslash
bot$}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(X)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Y)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Z)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad,
\backslash
ALFA,90
\backslash
BETA neg add){V}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad 90
\backslash
BETA neg add cos mul,
\backslash
ALFA,0){Vp}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad,
\backslash
az,
\backslash
el){Vs}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad
\backslash
el cos mul,
\backslash
az,0){Vsp}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=.5pt,linecolor=gray,fillstyle=solid,fillcolor=lig
htgray}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=1pt,linecolor=black,fillstyle=solid,fillcolor=bl
ue!30}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
BETA neg add
\backslash
ALFA](0,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{fillstyle=none,linecolor=black,linewidth=.4pt,linestyle=dashed}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=0 270
\backslash
ALFA add,]{
\backslash
ARC(0,0){
\backslash
radang}{90
\backslash
BETA neg add}{90}}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90 0]{
\backslash
ARC(0,0){
\backslash
radang}{-90}{-90
\backslash
ALFA add}}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
radang,
\backslash
ALFA,90
\backslash
BETA add 2 div){BETA}
\end_layout
\begin_layout Standard
\backslash
uput{5pt}[100](BETA){$
\backslash
beta$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
radang,
\backslash
ALFA 2 div,0){ALFA}
\end_layout
\begin_layout Standard
\backslash
uput{5pt}[225](ALFA){$
\backslash
alpha$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linecolor=black,linewidth=.4pt,arrowsize=4pt}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(V)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Vp)
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=dashed,linewidth=.2pt}
\end_layout
\begin_layout Standard
\backslash
psline(Vp)(V)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
uput[0](V){$
\backslash
vec{
\backslash
mu}_{
\backslash
beta}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linecolor=black,linewidth=.4pt,arrowsize=4pt}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Vs)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Vsp)
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=dashed,linewidth=.2pt}
\end_layout
\begin_layout Standard
\backslash
psline(Vsp)(Vs)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
uput[0](Vs){$
\backslash
vec{
\backslash
mu}_{s}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\begin_layout Column
4cm
\end_layout
\begin_layout Standard
\size small
\begin_inset Formula \begin{align*}
\cos(\theta_{s}) & =\sin(\beta)\cos(\alpha)\cos\left(\delta\right)\cos\left(\omega\right)\sin\left(\phi\right)-\\
& -\sin(\beta)\cos(\alpha)\cos\left(\phi\right)\sin\left(\delta\right)+\\
& +\sin(\beta)\sin(\alpha)\cos\left(\delta\right)\sin\left(\omega\right)+\\
& +\cos(\beta)\cos\left(\delta\right)\cos\left(\omega\right)\cos\left(\phi\right)+\\
& +\cos(\beta)\sin\left(\delta\right)\sin\left(\phi\right)\end{align*}
\end_inset
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout BeginPlainFrame
Ángulo de Incidencia
\newline
Eje Horizontal N-S, generador horizontal
\end_layout
\begin_layout Standard
\begin_inset Formula \[
\cos(\theta_{s})=\cos(\delta)\sqrt{\sin^{2}(\omega)+\left(\cos(\omega)\cos(\phi)+\tan(\delta)\sin(\phi)\right)^{2}}\]
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{figure}[!htp]
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{hatchwidth=0.02}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rad{
\backslash
Lns }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
radang{
\backslash
rad 2.2 div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
az{45 }%cuidado con los signos
\end_layout
\begin_layout Standard
\backslash
def
\backslash
el{15 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
ProySol{
\backslash
el cos dup mul
\backslash
az cos dup mul mul neg 1 add sqrt }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
TANel{
\backslash
el sin
\backslash
el cos div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
BETA{
\backslash
az sin
\backslash
TANel atan }%condicion de buen apuntamiento N-S
\end_layout
\begin_layout Standard
\backslash
def
\backslash
ALFA{90 }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
W{23 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
L{10 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lns{30 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lew{50 }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
begin{center}
\end_layout
\begin_layout Standard
\backslash
psset{unit=.5cm}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pspicture(-2,-3)(7,7)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{THETA=10,PHI=15,Dobs=
\backslash
Lew 2 mul,Decran=20,arrowsize=0.3}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,0,0){O}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,0,30){Z}
\end_layout
\begin_layout Standard
\backslash
uput[u](Z){$
\backslash
vec{
\backslash
mu}_c$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(30,0,0){X}%Intercambio los ejes para que se vea mejor
\end_layout
\begin_layout Standard
\backslash
uput[l](X){$
\backslash
vec{
\backslash
mu}_h$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(30,90,0){Y}
\end_layout
\begin_layout Standard
\backslash
uput[r](Y){$
\backslash
vec{
\backslash
mu}_
\backslash
bot$}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(X)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Y)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Z)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad
\backslash
ProySol mul,
\backslash
ALFA,90
\backslash
BETA neg add){V}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad,
\backslash
az,
\backslash
el){Vs}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad
\backslash
el cos mul,
\backslash
az,0){Vsp}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=.5pt,linecolor=gray,fillstyle=solid,fillcolor=lig
htgray}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=1pt,linecolor=black,fillstyle=solid,fillcolor=bl
ue!30}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
BETA neg add
\backslash
ALFA](0,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{fillstyle=none,linecolor=black,linewidth=.4pt,linestyle=dashed}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=0 270
\backslash
ALFA add,]{
\backslash
ARC(0,0){
\backslash
radang}{90
\backslash
BETA neg add}{90}}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
radang,
\backslash
ALFA,90
\backslash
BETA add 2 div){BETA}
\end_layout
\begin_layout Standard
\backslash
uput{0pt}[45](BETA){$
\backslash
psi_{ns}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linecolor=black,linewidth=.4pt,arrowsize=4pt}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(V)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
uput[45](V){$
\backslash
vec{
\backslash
mu}_{ns}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linecolor=black,linewidth=.4pt,arrowsize=4pt}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Vs)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Vsp)
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=dotted,linewidth=.2pt}
\end_layout
\begin_layout Standard
\backslash
psline(Vsp)(Vs)
\end_layout
\begin_layout Standard
\backslash
psline(Vs)(V)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
uput[0](Vs){$
\backslash
vec{
\backslash
mu}_{s}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\begin_layout BeginPlainFrame
Ángulo de Incidencia
\newline
Eje Horizontal N-S, generador inclinado
\end_layout
\begin_layout Standard
\begin_inset Formula \begin{align*}
\cos(\theta_{s}) & =\cos(\delta)\cdot\left[\sin(\lambda)\left(\cos(\omega)\sin(\phi)-\cos(\phi)\tan(\delta)\right)+\right.\\
& +\left.\cos(\lambda)\cdot\sqrt{\sin^{2}(\omega)+\left(\cos(\omega)\cos(\phi)+\tan(\delta)\sin(\phi)\right)^{2}}\right]\end{align*}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{figure}[!htp]
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{hatchwidth=0.02}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rad{
\backslash
Lns }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
radang{
\backslash
rad 2.2 div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
az{60 }%cuidado con los signos
\end_layout
\begin_layout Standard
\backslash
def
\backslash
el{30 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
ProySol{
\backslash
el cos dup mul
\backslash
az cos dup mul mul neg 1 add sqrt }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
TANel{
\backslash
el sin
\backslash
el cos div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
BETA{
\backslash
az sin
\backslash
TANel atan }%condicion de buen apuntamiento N-S
\end_layout
\begin_layout Standard
\backslash
def
\backslash
ALFA{90 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
incl{70 }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
W{23 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
L{10 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lns{30 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lew{50 }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
begin{center}
\end_layout
\begin_layout Standard
\backslash
psset{unit=.3cm}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pspicture(-4,-7)(8,8)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{THETA=10,PHI=15,Dobs=
\backslash
Lew 2 mul,Decran=20,arrowsize=0.3}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,0,0){O}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,0,30){Z}
\end_layout
\begin_layout Standard
\backslash
uput[90](Z){$
\backslash
vec{
\backslash
mu_c}$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(60,0,0){X}%Intercambio los ejes para que se vea mejor
\end_layout
\begin_layout Standard
\backslash
uput[180](X){$
\backslash
vec{
\backslash
mu_h}$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(30,90,0){Y}
\end_layout
\begin_layout Standard
\backslash
uput[0](Y){$
\backslash
vec{
\backslash
mu_
\backslash
bot}$}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(X)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Y)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Z)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad
\backslash
ProySol mul,
\backslash
ALFA,90
\backslash
BETA neg add){V}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad,
\backslash
az,
\backslash
el){Vs}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad
\backslash
el cos mul,
\backslash
az,0){Vsp}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=.5pt,linecolor=gray,fillstyle=solid,fillcolor=lig
htgray}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=1pt,linecolor=black,fillstyle=solid,fillcolor=bl
ue!30}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=
\backslash
incl 0,RotX=
\backslash
BETA 90 neg add](-40,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=
\backslash
incl 0,RotX=
\backslash
BETA 90 neg add](-20,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=
\backslash
incl 0,RotX=
\backslash
BETA 90 neg add](0,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=
\backslash
incl 0,RotX=
\backslash
BETA 90 neg add](20,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=
\backslash
incl 0,RotX=
\backslash
BETA 90 neg add](40,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{fillstyle=none,linecolor=black,linewidth=.4pt,linestyle=dashed}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=0 270
\backslash
ALFA add,]{
\backslash
ARC(0,0){
\backslash
rad 1.5 div}{90
\backslash
BETA neg add}{90}}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad 1.5 div,
\backslash
ALFA,90
\backslash
BETA add 2 div){BETA}
\end_layout
\begin_layout Standard
\backslash
uput{0pt}[45](BETA){$
\backslash
psi_{ns}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linecolor=black,linewidth=.4pt,arrowsize=4pt}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(V)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
uput[45](V){$
\backslash
vec{
\backslash
mu}_{ns
\backslash
lambda}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linecolor=black,linewidth=.4pt,arrowsize=4pt}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Vs)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Vsp)
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=dotted,linewidth=.2pt}
\end_layout
\begin_layout Standard
\backslash
psline(Vsp)(Vs)
\end_layout
\begin_layout Standard
\backslash
psline(Vs)(V)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
uput[0](Vs){$
\backslash
vec{
\backslash
mu}_{s}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\begin_layout EndFrame
\end_layout
\begin_layout BeginPlainFrame
Ángulo de Incidencia
\newline
Acimutal y Doble Eje
\end_layout
\begin_layout Columns
\end_layout
\begin_deeper
\begin_layout Column
4cm
\end_layout
\begin_layout Standard
\begin_inset Formula \begin{eqnarray*}
\cos(\theta_{s}) & = & \cos\left(\beta-\theta_{z}\right)\end{eqnarray*}
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula \[
\cos(\theta_{s})=1\]
\end_inset
\end_layout
\begin_layout Column
8cm
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{figure}[!htp]
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{hatchwidth=0.02}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rad{
\backslash
Lns }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
radang{
\backslash
rad 1.8 div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
az{60 }%cuidado con los signos
\end_layout
\begin_layout Standard
\backslash
def
\backslash
el{45 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
BETA{90 -
\backslash
el add }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
ALFA{
\backslash
az }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
W{23 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
L{10 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lns{30 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lew{50 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
TANel{
\backslash
el sin
\backslash
el cos div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Sa{
\backslash
L
\backslash
BETA cos mul }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Sb{
\backslash
L
\backslash
BETA sin mul
\backslash
TANel div }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
s{
\backslash
Sa
\backslash
Sb add }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
begin{center}
\end_layout
\begin_layout Standard
\backslash
psset{unit=.3cm}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pspicture(-7,-5)(19,8)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{THETA=10,PHI=20,Dobs=
\backslash
Lew 2 mul,Decran=20,arrowsize=0.3}
\end_layout
\begin_layout Standard
%
\backslash
axesIIID(20,20,20)%
\end_layout
\begin_layout Standard
%
\backslash
planThreeDput[normale=90 0,linecolor=gray,fontscale=0.5](0,0,0){
\backslash
Grille(-10,-8)(10,8)}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,0,0){O}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,0,
\backslash
Lns){Z}
\end_layout
\begin_layout Standard
\backslash
uput[90](Z){$
\backslash
vec{
\backslash
mu}_c$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
Lns 1.5 mul,0,0){X}
\end_layout
\begin_layout Standard
\backslash
uput[180](X){$
\backslash
vec{
\backslash
mu}_h$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
Lew 1.5 mul,90,0){Y}
\end_layout
\begin_layout Standard
\backslash
uput[0](Y){$
\backslash
vec{
\backslash
mu}_
\backslash
bot$}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(X)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Y)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Z)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(
\backslash
Lns,0,0){Seg2}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(
\backslash
Lns,
\backslash
Lew,0){Seg3}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(0,
\backslash
Lew,0){Seg4}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(
\backslash
Lns,
\backslash
Lew 2 div,0){Lew}
\end_layout
\begin_layout Standard
\backslash
pnodeXYZ(
\backslash
Lns 2 div,
\backslash
Lew,0){Lns}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad,
\backslash
ALFA,90
\backslash
BETA neg add){V}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
rad 90
\backslash
BETA neg add cos mul,
\backslash
ALFA,0){Vp}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
%
\backslash
psline(A)(B)
\end_layout
\begin_layout Standard
%
\backslash
psline(B)(C)
\end_layout
\begin_layout Standard
%
\backslash
Sombra(0,0)
\end_layout
\begin_layout Standard
%
\backslash
Sombra(
\backslash
Lns,0)
\end_layout
\begin_layout Standard
%
\backslash
Sombra(0,
\backslash
Lew)
\end_layout
\begin_layout Standard
%
\backslash
Sombra(
\backslash
Lns,
\backslash
Lew)
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=.5pt,linecolor=gray,fillstyle=solid,fillcolor=lig
htgray}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
ALFA](0,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
s)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
ALFA,translation=
\backslash
Lns 0 0]{
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
s)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
ALFA,translation=0
\backslash
Lew 0]{
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
s)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
ALFA,translation=
\backslash
Lns
\backslash
Lew 0]{
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
s)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=1pt,linecolor=black,fillstyle=solid,fillcolor=bl
ue!30}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
BETA neg add
\backslash
ALFA](0,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
BETA neg add
\backslash
ALFA,translation=
\backslash
Lns 0 0]{
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
BETA neg add
\backslash
ALFA,translation=0
\backslash
Lew 0]{
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
BETA neg add
\backslash
ALFA,translation=
\backslash
Lns
\backslash
Lew 0]{
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{fillstyle=none,linecolor=black,linewidth=.4pt,linestyle=dashed}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=0 270
\backslash
ALFA add,]{
\backslash
ARC(0,0){
\backslash
radang}{90
\backslash
BETA neg add}{90}}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90 0]{
\backslash
ARC(0,0){
\backslash
radang}{-90}{-90
\backslash
az add}}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
radang,
\backslash
ALFA,90
\backslash
BETA add 2 div){BETA}
\end_layout
\begin_layout Standard
%
\backslash
pnodeXYZ(
\backslash
radang
\backslash
el 2 div cos
\backslash
az cos mul mul,
\backslash
radang
\backslash
el 2 div cos
\backslash
az sin mul mul,
\backslash
radang
\backslash
el 2 div sin mul){phi}
\end_layout
\begin_layout Standard
\backslash
uput{0pt}[45](BETA){$
\backslash
beta$}
\end_layout
\begin_layout Standard
\backslash
pnodeSphericalCoor(
\backslash
radang,
\backslash
ALFA 2 div,0){ALFA}
\end_layout
\begin_layout Standard
%
\backslash
pnodeXYZ(
\backslash
radang
\backslash
az 2 div cos mul,
\backslash
radang
\backslash
az 2 div sin mul,0){theta}
\end_layout
\begin_layout Standard
\backslash
uput{3pt}[-45](ALFA){$
\backslash
alpha$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=dashed,linewidth=.5pt,linecolor=gray,arrows=|-|,arrowsize=10pt}
\end_layout
\begin_layout Standard
\backslash
psline(O)(Seg2)
\end_layout
\begin_layout Standard
\backslash
psline(O)(Seg4)
\end_layout
\begin_layout Standard
\backslash
psline(Seg3)(Seg4)
\end_layout
\begin_layout Standard
\backslash
psline(Seg3)(Seg2)
\end_layout
\begin_layout Standard
\backslash
uput{10pt}[180](Lew){$L_{eo}$}
\end_layout
\begin_layout Standard
\backslash
uput{3pt}[90](Lns){$L_{ns}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linecolor=black,linewidth=.4pt,arrowsize=4pt}
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(V)
\end_layout
\begin_layout Standard
\backslash
psline{->}(O)(Vp)
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=dashed,linewidth=.2pt}
\end_layout
\begin_layout Standard
\backslash
psline(Vp)(V)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
uput[0](V){$
\backslash
vec{
\backslash
mu}_{2x}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout Subsection
Cálculo de producción
\end_layout
\begin_layout BeginFrame
Mapas de radiación
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Itemize
Mapas de irradiación global efectiva anual y energía producida por un SFCR
\end_layout
\begin_layout Itemize
Procedimiento de cálculo a partir de medias mensuales
\end_layout
\begin_layout Itemize
Base de datos HelioClim-1 de SODA-ESRA.
\end_layout
\begin_deeper
\begin_layout Itemize
Método Heliosat-2 a imágenes de satélite.
\end_layout
\begin_layout Itemize
Resolución de 0,25 grados en latitud y longitud (aproximadamente 20 km).
\end_layout
\begin_layout Itemize
Promedio de imágenes almacenadas entre 1985 y 2005.
\end_layout
\end_deeper
\begin_layout Itemize
Interpolación espacial mediante técnicas de
\emph on
kriging
\emph default
.
\end_layout
\end_deeper
\begin_layout BeginPlainFrame
Mapas de producción
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename /home/oscar/Tesis/DocsPropios/tesis/mapas/MapaEspana_SODA005.ps
scale 42
rotateAngle -90
\end_inset
\end_layout
\begin_layout BeginPlainFrame
Comparativa Doble Eje-Estática
\end_layout
\begin_layout ColumnsCenterAligned
\end_layout
\begin_deeper
\begin_layout Column
3cm
\end_layout
\begin_layout Itemize
\size small
Mejora oscila entre el 30% y 50%
\end_layout
\begin_layout Itemize
\size small
Mejor para bajas latitudes y alta radiación
\end_layout
\begin_layout Column
9cm
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename ../tesis/mapas/BoxPlotEspana_SODA008.ps
scale 32
rotateAngle -90
\end_inset
\end_layout
\end_deeper
\begin_layout BeginPlainFrame
Comparativa Doble Eje - Horizontal
\end_layout
\begin_layout Columns
\end_layout
\begin_deeper
\begin_layout Column
3cm
\end_layout
\begin_layout Itemize
\size small
Mejora oscila entre el 25% y 30%
\end_layout
\begin_layout Itemize
\size small
Mejor para altas latitudes y baja radiación.
\end_layout
\begin_layout Column
9cm
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename ../tesis/mapas/BoxPlotEspana_SODA007.ps
scale 32
rotateAngle -90
\end_inset
\end_layout
\end_deeper
\begin_layout BeginPlainFrame
Comparativa Eje Horizontal - Estática
\end_layout
\begin_layout Columns
\end_layout
\begin_deeper
\begin_layout Column
3cm
\end_layout
\begin_layout Itemize
\size small
Mejora entre el 5% y 20%
\end_layout
\begin_layout Itemize
\size small
Mejor para bajas latitudes y alta radiación.
\end_layout
\begin_layout Column
9cm
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename ../tesis/mapas/BoxPlotEspana_SODA009.ps
scale 32
rotateAngle -90
\end_inset
\end_layout
\end_deeper
\begin_layout Subsection
Sombras mutuas
\end_layout
\begin_layout BeginFrame
Separación de seguidores Doble Eje
\end_layout
\begin_layout Columns
\end_layout
\begin_deeper
\begin_layout Column
7cm
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{figure}[!htp]
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{hatchwidth=0.02}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rad{20 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
radang{
\backslash
rad 1.8 div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
az{60 }%cuidado con los signos
\end_layout
\begin_layout Standard
\backslash
def
\backslash
el{45 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
BETA{90 -
\backslash
el add }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
ALFA{
\backslash
az }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
W{23 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
L{10 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lns{30 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Lew{50 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
TANel{
\backslash
el sin
\backslash
el cos div }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Sa{
\backslash
L
\backslash
BETA cos mul }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
Sb{
\backslash
L
\backslash
BETA sin mul
\backslash
TANel div }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
s{
\backslash
Sa
\backslash
Sb add }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
begin{center}
\end_layout
\begin_layout Standard
\backslash
psset{unit=.25cm}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
pspicture(-27,-12)(2,9)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{THETA=-20,PHI=20,Dobs=30,Decran=30,arrowsize=0.3}
\end_layout
\begin_layout Standard
%
\backslash
axesIIID(10,10,10)
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=.5pt,linecolor=gray,fillstyle=solid,fillcolor=gra
y}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
ALFA](0,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
Sa)}
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=.5pt,linecolor=gray,fillstyle=solid,fillcolor=lig
htgray}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
ALFA](0,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,
\backslash
Sa)(
\backslash
W 2 div,
\backslash
s)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{linestyle=solid,linewidth=1pt,linecolor=black,fillstyle=solid,fillcolor=bl
ue!30}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=90
\backslash
BETA neg add
\backslash
ALFA](0,0,0){
\backslash
Rectangle(
\backslash
W 2 div neg,0)(
\backslash
W 2 div,
\backslash
L)}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID(0,0){O}
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID[origine=0 0 0,normale=90
\backslash
BETA neg add
\backslash
ALFA](
\backslash
W 2 div neg,
\backslash
L){P1}
\end_layout
\begin_layout Standard
\backslash
psdot[dotsize=5pt](P1)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID[origine=
\backslash
W 2 div
\backslash
ALFA sin mul
\backslash
W 2 div neg
\backslash
ALFA cos mul 0,normale=0 270
\backslash
ALFA add](0,0){S1}
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID[origine=
\backslash
W 2 div
\backslash
ALFA sin mul
\backslash
W 2 div neg
\backslash
ALFA cos mul 0,normale=0 270
\backslash
ALFA add](
\backslash
Sa neg,0){S2}
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID[origine=
\backslash
W 2 div
\backslash
ALFA sin mul
\backslash
W 2 div neg
\backslash
ALFA cos mul 0,normale=0 270
\backslash
ALFA add](
\backslash
Sa neg 2 div,0){S12}
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID[origine=
\backslash
W 2 div
\backslash
ALFA sin mul
\backslash
W 2 div neg
\backslash
ALFA cos mul 0,normale=0 270
\backslash
ALFA add](
\backslash
s neg,0){S3}
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID[origine=
\backslash
W 2 div
\backslash
ALFA sin mul
\backslash
W 2 div neg
\backslash
ALFA cos mul 0,normale=0 270
\backslash
ALFA add](
\backslash
Sa
\backslash
s add 2 div neg,0){S23}
\end_layout
\begin_layout Standard
\backslash
psdot[dotsize=5pt](S1)
\end_layout
\begin_layout Standard
\backslash
psdot[dotsize=5pt](S2)
\end_layout
\begin_layout Standard
\backslash
psdot[dotsize=5pt](S3)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psline[linestyle=dotted](P1)(S2)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
%
\backslash
psdot[dotsize=5pt](0,0,0)
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{fillstyle=none,linecolor=black,linewidth=.4pt,linestyle=dashed}
\end_layout
\begin_layout Standard
\backslash
planThreeDput[normale=0 270
\backslash
ALFA add](
\backslash
W 2 div
\backslash
ALFA sin mul,
\backslash
W 2 div neg
\backslash
ALFA cos mul,0){
\backslash
ARC(0,0){
\backslash
Sa 0.5 mul}{180
\backslash
BETA neg add}{180}}
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID[origine=
\backslash
W 2 div
\backslash
ALFA sin mul
\backslash
W 2 div neg
\backslash
ALFA cos mul 0,normale=0 270
\backslash
ALFA add](
\backslash
Sa 0.5 mul neg,
\backslash
Sa 0.25 mul
\backslash
BETA sin
\backslash
BETA cos div mul){BETA}
\end_layout
\begin_layout Standard
%
\backslash
psdot[dotsize=5pt](BETA)
\end_layout
\begin_layout Standard
\backslash
uput{3pt}[180](BETA){$
\backslash
beta$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
psset{fillstyle=none,linestyle=solid,linecolor=black,linewidth=.4pt}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
%
\backslash
planThreeDput[normale=90
\backslash
ALFA,translation=0 0 0]{
\backslash
Cota(
\backslash
W 2 div neg,0)(
\backslash
W 2 div 3 add neg,
\backslash
Sa)}
\end_layout
\begin_layout Standard
\backslash
uput{5pt}[270](S12){$s_1=b
\backslash
cdot
\backslash
cos(
\backslash
beta)$}
\end_layout
\begin_layout Standard
%
\backslash
planThreeDput[normale=90
\backslash
ALFA,translation=0 0 0]{
\backslash
Cota(
\backslash
W 2 div neg,
\backslash
Sa)(
\backslash
W 2 div 3 add neg,
\backslash
s)}
\end_layout
\begin_layout Standard
\backslash
uput{5pt}[270](S23){$s_2=
\backslash
frac{b
\backslash
cdot
\backslash
sin(
\backslash
beta)}{
\backslash
tan(
\backslash
gamma_s)}$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
NodeIIItoIID[origine=
\backslash
W 2 div
\backslash
ALFA sin mul neg
\backslash
W 2 div
\backslash
ALFA cos mul 0,normale=0 270
\backslash
ALFA add](
\backslash
Sa 0.5 mul neg,
\backslash
Sa 0.5 mul
\backslash
BETA sin
\backslash
BETA cos div mul){L}
\end_layout
\begin_layout Standard
\backslash
uput{3pt}[180](L){L}
\end_layout
\begin_layout Standard
\backslash
uput{3pt}[180](O){W}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\begin_layout Column
3cm
\end_layout
\begin_layout Standard
\begin_inset Formula \[
b=\frac{L}{W}\]
\end_inset
\begin_inset Formula \[
ROT=\frac{L_{ns}\cdot L_{eo}}{b}\]
\end_inset
\end_layout
\begin_layout Standard
\size large
\begin_inset Formula \[
E_{ac}=f(ROT)??\]
\end_inset
\size default
\end_layout
\end_deeper
\begin_layout EndFrame
\end_layout
\begin_layout BeginFrame
Separación de seguidores Doble Eje
\end_layout
\begin_layout Standard
\begin_inset ERT
status collapsed
\begin_layout Standard
\backslash
begin{figure}[!htp]
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
def
\backslash
az{0 }%signo contrario a las ecuaciones!
\end_layout
\begin_layout Standard
\backslash
def
\backslash
beta{45 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rad{10 }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rang{
\backslash
rad 2 div }%fundamental dejar el espacio detrás si luego va a formar parte
de otra ecuación
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rtvec{
\backslash
rad 1.05 mul }
\end_layout
\begin_layout Standard
\backslash
def
\backslash
rtang{
\backslash
rang 1.2 mul }
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
begin{center}
\end_layout
\begin_layout Standard
\backslash
psset{unit=6pt}
\end_layout
\begin_layout Standard
\backslash
pspicture(-20,-15)(20,15)
\end_layout
\begin_layout Standard
%
\backslash
psframe(-20,-15)(20,15)
\end_layout
\begin_layout Standard
%
\backslash
psgrid
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
uput[0](22,15){$Sur$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
multido{
\backslash
ilns=5+-15,
\backslash
ins=0+3}{2}{%
\end_layout
\begin_layout Standard
\backslash
multido{
\backslash
ilew=-20+20,
\backslash
iew=1+1}{3}{%
\end_layout
\begin_layout Standard
\backslash
rput{
\backslash
az}(
\backslash
ilew,
\backslash
ilns){
\backslash
psframe[fillstyle=solid](-5,-2.5)(5,2.5)}
\end_layout
\begin_layout Standard
\backslash
fpAdd{
\backslash
iew}{
\backslash
ins}{
\backslash
isuma}
\end_layout
\begin_layout Standard
\backslash
rput(
\backslash
ilew,
\backslash
ilns){$s_{
\backslash
isuma}$}
\end_layout
\begin_layout Standard
}}
\end_layout
\begin_layout Standard
\backslash
psline{<-}(27,15)(27,7)%Eje NORTE SUR
\end_layout
\begin_layout Standard
\backslash
psset{linewidth=.3,linestyle=dashed}
\end_layout
\begin_layout Standard
\backslash
psline{<-}(5,-10)(15,-10)
\end_layout
\begin_layout Standard
\backslash
uput[90](10,-10){$FS_{eo}$}
\end_layout
\begin_layout Standard
\backslash
psline{<-}(-5,-10)(-15,-10)
\end_layout
\begin_layout Standard
\backslash
uput[90](-10,-10){$FS_{eo}$}
\end_layout
\begin_layout Standard
\backslash
psline{<-}(0,-7.5)(0,2.5)
\end_layout
\begin_layout Standard
\backslash
uput[0](0,-3.5){$FS_{ns}$}
\end_layout
\begin_layout Standard
\backslash
psline{<-}(-5,-7.5)(-15,2.5)
\end_layout
\begin_layout Standard
\backslash
uput[45](-10,-3.5){$FS_d$}
\end_layout
\begin_layout Standard
\backslash
psline{<-}(5,-7.5)(15,2.5)
\end_layout
\begin_layout Standard
\backslash
uput[135](10,-3.5){$FS_d$}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
endpspicture
\end_layout
\begin_layout Standard
\backslash
end{center}
\end_layout
\begin_layout Standard
\end_layout
\begin_layout Standard
\backslash
end{figure}
\end_layout
\begin_layout Standard
\end_layout
\end_inset
\end_layout
\begin_layout BeginFrame
Factores de sombreado 2x
\end_layout
\begin_layout Columns
\end_layout
\begin_deeper
\begin_layout Column
7.5cm
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \[
FS_{eo}=\frac{(1-L_{eo}\cos(\psi_{s}))\cdot(s-L_{eo}\sin(\psi_{s}))}{s}\]
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula \[
FS_{ns}=\frac{(s-L_{ns}\cos(\psi_{s}))\cdot(1-L_{ns}\sin(\psi_{s}))}{s}\]
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Formula \begin{eqnarray*}
FS_{d} & = & \frac{\left[s-\left(L_{eo}\cdot\sin(\psi_{s})+L_{ns}\cos(\psi_{s})\right)\right]}{s}\cdot\\
& \cdot & \frac{\left[1-\left(L_{eo}\cdot\cos(\psi_{s})-L_{ns}\sin(\psi_{s})\right)\right]}{s}\end{eqnarray*}
\end_inset
\end_layout
\end_deeper
\begin_layout Column
4cm
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename Sombra.xcf
scale 20
clip
\end_inset
\end_layout
\end_deeper
\begin_layout BeginPlainFrame
Estimación de sombras: Doble Eje
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename ValidacionCarmona.ps
scale 42
rotateAngle -90
\end_inset
\end_layout
\begin_layout BeginPlainFrame
Estimación de sombras: Doble Eje
\end_layout
\begin_layout ColumnsTopAligned
\end_layout
\begin_deeper
\begin_layout Column
4cm
\end_layout
\begin_layout Standard
\size footnotesize
\begin_inset Formula \[
b=\frac{L}{W}=0.475\]
\end_inset
\end_layout
\begin_layout Column
4cm
\end_layout
\begin_layout Standard
\size footnotesize
\begin_inset Formula \[
ROT=\frac{L_{ns}\cdot L_{eo}}{b}\]
\end_inset
\end_layout
\end_deeper
\begin_layout Standard
\align center
\begin_inset Graphics
filename /home/oscar/Tesis/DocsPropios/tesis/FigurasPS/Sombreado2x.ps
scale 36
rotateAngle -90
\end_inset
\end_layout
\begin_layout BeginPlainFrame
Ocupación de Terreno
\end_layout
\begin_layout ColumnsTopAligned
\end_layout
\begin_deeper
\begin_layout Column
4cm
\end_layout
\begin_layout Standard
\size footnotesize
\begin_inset Formula \[
b=\frac{L}{W}=0.475\]
\end_inset
\end_layout
\begin_layout Column
4cm
\end_layout
\begin_layout Standard
\size footnotesize
\begin_inset Formula \[
ROT=\frac{L_{ns}\cdot L_{eo}}{b}\]
\end_inset
\end_layout
\end_deeper
\begin_layout Standard
\align center
\begin_inset Graphics
filename /home/oscar/Tesis/DocsPropios/tesis/FigurasPS/EacvsROT.ps
scale 36
rotateAngle -90
\end_inset
\end_layout
\begin_layout Standard
\align center
\end_layout
\begin_layout BeginFrame
Estimación de sombras: Eje Horizontal
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \begin{align*}
FS_{eo} & =\frac{s-L_{eo}}{s}\\
& =1-L_{eo}\cdot\cos(\beta)\\
& =1-L_{eo}\cdot\frac{\sin(\omega)}{\sqrt{\sin^{2}(\omega)+\left(\cos(\omega)\cos(\phi)+\tan(\delta)\sin(\phi)\right)^{2}}}\end{align*}
\end_inset
\end_layout
\end_deeper
\begin_layout BeginPlainFrame
Estimación de sombras: Eje Horizontal
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename /home/oscar/Tesis/Resultados/MejoraSombraEjeHorizontal.ps
scale 42
scaleBeforeRotation
rotateAngle -90
\end_inset
\end_layout
\begin_layout BeginFrame
Sombras Eje Horizontal Lamas Inclinadas
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\begin_inset Formula \begin{align*}
s_{ns} & =s_{ns,1}+s_{ns,2}\\
s_{ns,1} & =b\cdot\frac{\cos(\lambda)}{\cos(\psi_{s})}\\
s_{ns,2} & =b\cdot\frac{\sin(\lambda)}{\tan(\gamma_{s})}\end{align*}
\end_inset
\begin_inset Formula \begin{align*}
FS_{ns,\lambda} & =\frac{\left[1-(l_{ns}-b\cdot\cos(\lambda))\cdot\tan(\psi_{s})\right]\cdot\left[s_{ns}-\frac{l_{ns}}{\cos(\psi_{s})}\right]}{s_{ns}}\end{align*}
\end_inset
\end_layout
\end_deeper
\begin_layout Standard
\align center
\end_layout
\begin_layout BeginPlainFrame
Sombras Eje Horizontal Lamas Inclinadas
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename /home/oscar/Tesis/Resultados/SombraEjeHorizontalInclinado.ps
scale 42
rotateAngle -90
\end_inset
\end_layout
\begin_layout BeginFrame
Conclusión
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Standard
\align center
\begin_inset Tabular
\begin_inset Text
\begin_layout Standard
SFCR
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
ROT
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Productividad
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Estático
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
2
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
1
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Eje Horizontal NS
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
4
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
1,05-1,2
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
Doble Eje
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
6
\end_layout
\end_inset
|
\begin_inset Text
\begin_layout Standard
1,3-1,5
\end_layout
\end_inset
|
\end_inset
\end_layout
\end_deeper
\begin_layout Section
Análisis de Ciclo de Vida
\end_layout
\begin_layout BeginFrame
Flujo de Energía
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename LCAFlujo.eps
scale 50
\end_inset
\end_layout
\begin_layout BeginFrame
Análisis de Ciclo de Vida para SFCRs
\end_layout
\begin_layout Block
\begin_inset ERT
status open
\begin_layout Standard
{}
\end_layout
\end_inset
\end_layout
\begin_deeper
\begin_layout Itemize
Se han recogido los resultados de los análisis anteriores para integrarlos
en un estudio del ciclo de vida de un SFCR, desde la perspectiva del Tiempo
de Retorno Energético (EPBT)
\end_layout
\begin_layout Itemize
Se han recopilado los estudios existentes en el sector solar fotovoltaico
y se han complementado con cifras propias para producir mapas en los que
se refleja este tiempo para SFCR estáticos, de doble eje y eje horizontal
Norte-Sur.
\end_layout
\end_deeper
\begin_layout BeginFrame
Composición energética
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename ComposicionEnergetica.eps
scale 30
\end_inset
\end_layout
\begin_layout BeginPlainFrame
EPBT frente a la radiación anual horizontal
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename /home/oscar/Tesis/Resultados/mapas/EPBTvsGh.ps
scale 42
rotateAngle -90
\end_inset
\end_layout
\begin_layout BeginPlainFrame
Comparativa Doble Eje-Estática
\end_layout
\begin_layout ColumnsCenterAligned
\end_layout
\begin_deeper
\begin_layout Column
3cm
\end_layout
\begin_layout Itemize
\size small
Mejora oscila entre el 15% y 30%
\end_layout
\begin_layout Itemize
\size small
Mejor para bajas latitudes y alta radiación
\end_layout
\begin_layout Column
9cm
\end_layout
\begin_layout Standard
\align center
\begin_inset Graphics
filename ../tesis/mapas/MapaEspana_SODA016.ps
scale 32
rotateAngle -90
\end_inset
\end_layout
\end_deeper
\begin_layout BeginPlainFrame
Comparativa Horizontal NS-Estática
\end_layout
\begin_layout ColumnsCenterAligned
\end_layout
\begin_deeper
\begin_layout Column
3cm
\end_layout
\begin_layout Itemize
\size small
Mejora oscila entre el 0% y 15%.
\end_layout
\begin_layout Itemize
\size small
Mejor para bajas latitudes y alta radiación
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9cm
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Comparativa Doble Eje y Horizontal NS
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3cm
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Mejora oscila entre el 0% y 15%.
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\size small
Mejor para altas latitudes y baja radiación
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9cm
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Conclusiones
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Aportaciones
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Método de los momentos
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Es posible estimar la energía mediante operaciones simples empleando los
momentos de orden 1 a 4.
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Método validado con datos de los SFCR Photocampa y Forum.
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Radiación simultanea en tiempo y espacio con funcionamiento: error <2%.
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Distancia temporal y espacial: error 5%.
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Contribución de los momentos tercero y cuarto despreciable.
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Relación cuasi-lineal entre energía AC y radiación efectiva.
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Representatividad de modelos de radiación
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Conjunto de transformaciones a cuatro bases de datos de radiación localizadas
en España.
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Para estimaciones de energía anual el modelo de radiación empleado puede
ser de complejidad muy baja.
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Resoluciones temporales mejores que el muestreo horario no contribuyen apreciabl
emente.
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Estimaciones con errores por debajo del 3% con formato habitual de 12 medias
mensuales de radiación diaria.
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Seguimiento Solar
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{Cálculo de producción}
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Ecuaciones para modelar el seguimiento solar.
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Proceso de cálculo de radiación efectiva y energía producida.
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Mapas de radiación y producción.
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{Sombras mutuas}
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Ecuaciones para modelar sombreado entre seguidores.
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Ábacos que relacionan pérdidas por sombreado con ocupación de terreno.
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Seguimiento Solar
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{Sombras mutuas}
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Se ha validado el proceso de cálculo contra datos del SFCR Carmona.
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La diferencia entre energía producida y estimada durante el periodo de estudio
es menor del 1%.
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Las discrepancias aumentan en los periodos diarios, apareciendo una relación
muy marcada con el índice de claridad.
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\end_deeper
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Análisis de Ciclo de Vida
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{}
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\end_inset
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A partir de estudios del sector fotovoltaico y cifras propias se generan
mapas de EPBT para SFCR estáticos, de doble eje y eje horizontal.
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EPBT entre 2 y 4,6 años dependiendo del modo de seguimiento y la latitud.
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Las tecnologías de seguimiento demandan mayor energía en estructura metálica,
cimentaciones y cableado, para obtener el mayor rendimiento posible del
componente más costoso energéticamente.
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Publicaciones
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\emph on
On the calculation of energy produced by a PV grid-connected system
\emph default
, Progress in Photovoltaics, 2007.
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\emph on
On the complexity of radiation models for PV energy production calculation
\emph default
, Solar Energy, 2007
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2 artículos en revistas nacionales.
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2 comunicaciones en congresos europeos.
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Trabajos futuros
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Estimación de Energía
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Relación directa entre la radiación horizontal con los momentos estadísticos.
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Impacto de efectos no lineales tales como sombreado mutuo.
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Sistemas de seguimiento
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{}
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Técnicas de retroseguimiento y limitación del ángulo de inclinación.
\end_layout
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Pérdidas por dispersión en la conexión en paralelo de varios seguidores
a un inversor central.
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Influencia del índice de claridad y correlación con fracción de difusa.
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Nuevos modelos de sombra:
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Configuración eléctrica del generador.
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Bloqueo de difusa.
\end_layout
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Otros tipos de seguidores.
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Procesos Markov frente a días promedio.
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Análisis de Ciclo de Vida
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{}
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Estudiar el compromiso entre energía invertida, energía producida y ocupación
de terreno (optimizar la función
\begin_inset Formula $EPBT=EPBT(ROT)$
\end_inset
)
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Incluir SFCR de integración arquitectónica y sistemas de concentración.
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Omnia sunt communia
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{}
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Investigación desarrollada en entorno Debian GNU/Linux.
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Análisis numéricos y generación de gráficas con paquete de software libre
R-project.
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Escritura y edición del documento con software libre LyX y el sistema de
preparación de documentos LaTeX.
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Licencia de Documentación Libre de GNU:
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Asegura la libertad efectiva de copiar y redistribuir, con o sin modificaciones,
de manera comercial o no.
\end_layout
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Proporciona al autor y al editor una manera de obtener reconocimiento, sin
responsabilidad por las modificaciones realizadas por otros.
\end_layout
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\end_deeper
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Omnia sunt communia
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\begin_inset Quotes eld
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\emph on
As we enjoy great advantages from the inventions of others, we should be
glad of an opportunity to serve others by any invention of ours, and this
we should do freely and generously
\emph default
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\newline
(Benjamin Franklin)
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Gracias por su Atención
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\end_body
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