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

	
	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{Project 2A Assignments}
	To pass Project 2A, Answer the theoretical questions and fill in the model sections below with your equations.
	
	
	\section{Questions}
	
	\subsection{What are the main components of a turbo and what is their
		purpose? Are there any limitations in the operating region of the
		components?}
	
	\subsection{How are the compressor- and turbine maps measured? What are
		corrected quantities and why are they used? What are reference
		states in this context?}
	
	\subsection{What benefits/drawbacks does a large/small naturally aspirated
		engine have? How can turbocharging be used to remove the drawbacks? What
		other drawbacks are a consequence of turbocharging?}
	
	\subsection{What extra actuators are present on a turbocharged engine
		compared to a naturally aspirated engine and what is their purpose?}
	
	\subsection{Given a compressor flow ($\dot{m}_c$), compressor pressure
		ratio ($\Pi_c$), compressor efficiency ($\eta_c$)
		and compressor inlet temperature ($T_{01}$)}

		\subsubsection{How can the compressor outlet temperature ($T_{02}$) be
			calculated?}
		\subsubsection{Given the temperature increase over the compressor,
			$\Delta T = T_{02} - T_{01}$, how can the compressor
			power be calculated?}
		\subsubsection{Given the turbo speed ($\omega_{tc}$) and the compressor
			power ($\dot{W}_c$); how can the required torque of the
			compressor ($T_{q,c}$) on the turbo shaft be calculated?}
	
	\subsection{Given a turbine mass flow ($\dot{m}_t$),
		turbine pressure ratio ($\Pi_t$), turbine efficiency ($\eta_t$)
		and turbine inlet temperature ($T_{03}$)}

		\subsubsection{How can the turbine outlet temperature ($T_{04}$) be
			calculated?}
		\subsubsection{Given the temperature drop over the turbine, $\Delta T
			= T_{03} - T_{04}$, how can the turbine power be calculated?}
		\subsubsection{Given the turbo speed ($\omega_{tc}$) and the turbine power
			($\dot{W}_t$); how can the driving torque of the turbine
			($T_{q,c}$) on the turbo shaft be calculated?}
	
	\clearpage
	\section{Models}
	
	
	
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\subsection{Turbine Flow}
	The turbine flow model predicts the turbine flow parameter (TFP) through the pressure ratio over the turbine, $p_{04}/p_{03}$. Important to note is that when converting from TFP to actual mass flow, the pressure should be in kPa.
	\label{sec:insugsror}
	\begin{description}
		\item[Model:]
		\begin{align}
			\text{TFP} &= k_0 \sqrt{1 - \Pi^{k_1}_t}, &
			\Pi_t &= \frac{p_{04}}{p_{03}} = \frac{p_{es}}{p_{em}} \\
			\dot{m}_t &=  \text{TFP} \times \frac{p_{03} \ \text{[kPa]}  }{ \sqrt{T_{03} \ \text{[K]}} }
		\end{align}
		\item[Known model parameters:] 
		\item[Unknown model parameters: $k_0$, $k_1$] 
		\item[Measurement signals: $p_{04}$, $p_{03}$] 
		\item[Measurement type: Stationary] 
		% (Dynamic/Stationary/Crankshaft)
	\end{description}
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\subsection{Turbine Efficiency}
	Describe the model for turbine efficiency $\eta_t$.
	\begin{description}
		\item[Model:] 
		\begin{align}
			...
		\end{align}
		\item[Known model parameters:] 
		\item[Unknown model parameters:] 
		\item[Measurement signals:] 
		\item[Measurement type:] 
		% (Dynamic/Stationary/Crankshaft)
	\end{description}
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	
	
	\subsection{Compressor Flow}
	A model describing the compressor flow $\dot{m}_c$.
	\label{sec:gaspedal}
	\begin{description}
		\item[Model:]
		\begin{align}
		...
		\end{align}
		\item[Known model parameters:] -
		\item[Unknown model parameters:]
		\item[Measurement signals:]
		\item[Measurement type:]
		% (Dynamic/Stationary/Crankshaft)
	\end{description}
	
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\subsection{Compressor Efficiency}
	A model for the compressor efficiency $\eta_c$.
	\begin{description}
		\item[Model:]
		\begin{align}
		...
		\end{align}
		\item[Known model parameters:] 
		\item[Unknown model parameters:]
		\item[Measurement signals:]
		\item[Measurement type:]
		% (Dynamic/Stationary/Crankshaft)
	\end{description}
	

	
	\subsection{Shaft Dynamics}
	Describe the model for the dynamics of the turbocharger rotational speed $\omega_{tc}$.
	\begin{description}
		\item[Model:]
		\begin{align}
			...
		\end{align}
		\item[Known model parameters:] 
		\item[Unknown model parameters:] 
		\item[Measurement signals:] 
		\item[Measurement type:] 
		% (Dynamic/Stationary/Crankshaft)
	\end{description}
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\end{document}



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