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\begin{document}
	\title{Project report\\Project 1B -- TSFS09}
	\author{Name1 -- email1 \\Name2 -- email2}
	\maketitle
	

\section{Examination requirements}
The objective of this project is to select, parametrize and validate models of each of the components of the engine. To pass, all models shall be addressed and the solutions (validations) properly described in your report. The project report should include:
\begin{itemize}
	\item Briefly comment on the validation figures. Discuss the correlation
			with measurement data. Is your model accurate?
			
	\item After validation of models, all estimated parameters in
			different sub-models must be presented in a table.
\end{itemize}



\section{Assignments}
Select, parametrize and validate all necessary sub-models for the VEP-engine. For your convenience, they are listed in separate headings below.
\\\\
All sub-models must be validated. Validation of a model means
showing that the model and the data are consistent by comparing the
output from the models (static or simulated) to the data from the
measurements.
\\
\\
Identify the inputs, outputs and parameters for all sub-models. Adapt
the model parameters for the constituent sub-models to the measurement
data and show how well the model and measurement data agree. Describe
how the validation has been performed for each sub-model and the
parameter values you use.

In this section, the models developed in the previous chapter are compared against the measurement data. A template for the fuel injector is provided. Follow the style of this example for the rest of the models.

	
\subsection{Fuel Injector}
\begin{description}
	\item[Parameter(s) value: $c_{fi} = 0.0169$, $t_0 = 6.5098 \times 10^{-4}$]
	\item[Validation:]
\end{description}
	
Injected fuel ($m_{fi}$) and the injector opening times ($t_{inj}$) were measured and available signals for a least squares fit using the backslash operator in Matlab. The validation of the fuel injector model is shown in Figure \ref{fig:injector_validation}. As seen in the figure, the injector model performs well over the whole operating region.
\begin{figure}[h]
	\centering
	\includegraphics[width=1\textwidth]{injector_validation.png}
	\caption{A validation plot of the injector model.}
	\label{fig:injector_validation}
\end{figure}	
	
	
\subsection{Throttle Flow}
\begin{description}
		\item[Parameter(s) value:] 
		\item[Validation:] 
\end{description}

	
\subsection{Cylinder: Volumetric Efficiency}
\begin{description}
		\item[Parameter(s) value:] 
		\item[Validation:] 
\end{description}
	
	
\subsection{Cylinder: Engine Temperature}
\begin{description}
	\item[Parameter(s) value:] 
	\item[Validation:] 
\end{description}
	
	
\subsection{Cylinder: Torque}
\begin{description}
	\item[Parameter(s) value:] 
	\item[Validation:] 
\end{description}
	
	
\subsection{Exhaust Flow}
\begin{description}
	\item[Parameter(s) value:] 
	\item[Validation:] 
\end{description}
	
	
\subsection{Step Response: Throttle}
\begin{description}
	\item[Parameter(s) value: ] $\tau_{th} = ????$. 
	\item[Validation: ]
\end{description}
	
	
\subsection{Step Response: Lambda}
\begin{description}
	\item[Parameter(s) value:] 
	\item[Validation:] 
\end{description}


\section{Table of Parameters}
All estimated parameters in the different engine sub-models are
summarized in table~\ref{tb:parametrar}.
\begin{table}[ht]
	\caption{Estimated parameters in engine sub-models.~\emph{Number of empty rows in front of each component is randomly
		selected and should not be inferred as number of parameters.}}
	\begin{center}
			\begin{tabular}{c|c|c}
				\hline 
				Component&Parameter&Value\\\hline\hline
				Fuel Injector     & . & ... \\
				& . & ... \\\hline
				Throttle Flow     & . & ... \\
				& . & ... \\\hline
				Volumetric Efficiency    & (choose two/three parameters) & ... \\
				& . & ... \\\hline
				Engine Temperature    & . & ... \\
				& . & ... \\\hline
				Torque    & . & ... \\
				& . & ... \\\hline
				Exhaust Flow    & . & ... \\
				& . & ... \\\hline
				Step Response: Throttle    & . & ... \\
				& . & ... \\\hline
				Step Response: Lambda    & . & ... \\
				& . & ... \\\hline
			\end{tabular}
		\end{center}
		\label{tb:parametrar}
\end{table}
\end{document}

