Changeset 2816
- Timestamp:
- 10/30/09 20:19:47 (4 weeks ago)
- Files:
-
- 1 modified
-
HydroWatch/Tim/doc/ipsn10/sec_energy.tex (modified) (3 diffs)
Legend:
- Unmodified
- Added
- Removed
-
HydroWatch/Tim/doc/ipsn10/sec_energy.tex
r2764 r2816 1 1 %%%%%%%%%%%%%%%%%%%%%%% 2 2 \section{Energy Prediction}~\label{sec:energypredict} 3 As described in Section~\ref{sec:energyrelation}, the optimization process relies on an estimate of harvested energy at various intervals ahead in time in order to make use of opportunities of high amounts of energy in order to maximize utility. In order to form this prediction $\hat{E_h (n,k+i)}$ we make use of a numberdifferent information inputs including an astronomic model, solar radiation measurements4 and the measurement and forecast of weather condition . The prediction process is shown in Figure~\ref{fig:energy_prediction_process}.3 As described in Section~\ref{sec:energyrelation}, the optimization process relies on an estimate of harvested energy at various intervals ahead in time in order to make use of opportunities of high amounts of energy in order to maximize utility. In order to form this prediction $\hat{E_h}(n,k+i)}$, we make use of a number of different information inputs including an astronomic model, solar radiation measurements 4 and the measurement and forecast of weather conditions. The prediction process is shown in Figure~\ref{fig:energy_prediction_process}. 5 5 6 6 \begin{figure}[ht] … … 21 21 \delta = E_h / E_a 22 22 \end{equation} 23 With the atmospheric model model, the effective sunlight that shines on23 With the atmospheric model, the effective sunlight that shines on 24 24 the solar panel is proportional to $\cos\Theta$ when the angle of sunlight 25 25 from the normal to the solar panel is $\Theta$, The angle $\Theta$ depends … … 50 50 51 51 Many weather stations provide the current measurement and a forecast 52 of thecloud cover and this can be used to predict the weather effect53 on thesolar radiation. The prediction of the weather effect is done54 in two steps. First, we maintain the relation between the cloud cover52 of cloud cover and this can be used to predict the weather effect 53 on solar radiation. The prediction of the weather effect is done 54 in two steps. First, we maintain the relationship between the cloud cover 55 55 $C$ and the solar radiation variation $\delta$. The cloud cover is 56 56 usually given as a discrete value between 1 and 10, depending on how 57 much the sky is covered with the cloud(Figure~\ref{fig:weather}).57 much of the sky is covered with clouds (Figure~\ref{fig:weather}). 58 58 This gives a CDF of the solar radiation variation for each value of 59 59 the discrete value $i$. Figure~\ref{fig:prediction1} shows the 60 distribution of thesolar energy for each weather forecast category,60 distribution of solar energy for each weather forecast category, 61 61 and Figure~\ref{fig:cdf2_example} shows CDFs for weather category 62 62 2 and 9: $\{(C_2,\delta)\}$ and $\{(C_9,\delta)\}$.
