Changeset 2757

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Timestamp:
10/30/09 04:39:21 (4 weeks ago)
Author:
wark
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changes to energy

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  • HydroWatch/Tim/doc/ipsn10/sec_energy.tex

    r2747 r2757  
    1818$E_h$ with the atmospheric estimation $E_a$ gives  
    1919gives the solar radiation variation under weather condition $\delta$: 
    20 \begin{align*} 
     20\begin{equation} 
    2121\delta = E_h / E_a 
    22 \end{align*}  
     22\end{equation}  
    2323With the atmospheric model model, the effective sunlight that shines on  
    2424the solar panel is proportional to $\cos\Theta$ when the angle of sunlight  
     
    3030\cos \Theta & = \cos \theta_p \cdot \cos \theta_s + \sin \theta_p \cdot \sin \theta_s \cdot \cos (\phi_p - \phi_s) \notag \\ 
    3131\cos \theta_s & = \sin \delta \cdot \sin L + \cos \delta \cdot \cos L \cdot \cos h \notag \\ 
    32 \sin \phi_s & = -\cos \delta \cdot \sin h / \sin \theta_s \notag \\ 
    33 x & = 2 \pi n / 365 \notag \\  
    34 h & = 15 (t - 12) \notag \\  
    35 \delta & = 0.302 - 22.93 \cos x - 0.229 \cos 2x - 0.243 \cos 3x \notag \\ 
    36       & \text{~~~~} + 3.851 \sin x + 0.002 \sin 2x - 0.055 \sin 3x \notag 
     32\sin \phi_s & = -\cos \delta \cdot \sin h / \sin \theta_s 
     33%x & = 2 \pi n / 365 \notag \\  
     34%h & = 15 (t - 12) \notag \\  
     35%\delta & = 0.302 - 22.93 \cos x - 0.229 \cos 2x - 0.243 \cos 3x \notag \\ 
     36%      & \text{~~~~} + 3.851 \sin x + 0.002 \sin 2x - 0.055 \sin 3x \notag 
    3737\end{align} 
    3838Figure~\ref{fig:model} illustrates an instance of the atmospheric