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% Verbal description for system ShowerHeater (ShowerHeater_desc.tex)
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The acausal bond graph of system \textbf{ShowerHeater} is
displayed in Figure \Ref{ShowerHeater_abg} and its label
file is listed in Section \Ref{sec:ShowerHeater_lbl}.
The subsystems are listed in Section \Ref{sec:ShowerHeater_sub}.
\textbf{ShowerHeater} is a very elementary model of an electric heater suitable for
a shower. It illustates the use of bond graph components which are
internally pseudo, but externally true bond graphs
(temperature/entropy flow).
There are three main components:
\begin{enumerate}
\item p1 and p2 -- a \textbf{Pipe} component (see Section
\Ref{sec:Pipe}). It is assumed that the pipes have zero flow
resistance and thus do not generate heat via flow resistance.
\item t1 -- a tank \textbf{Tank} component.
\item Heater -- a resistive heater modelled by the thermodynamic
\textbf{R} component \textbf{RS}.
\end{enumerate}
Other components could be added to represent thermal conduction and
thermal capacities.
The components \textbf{In} and \textbf{Out} provide the inlet and
outlet conditions.
The three inputs are
\begin{description}
\item[$u_1$] The flow rate
\item[$u_2$] The inlet temperature
\item[$u_3$] The voltage across the heating element.
\end{description}
The single output is
\begin{description}
\item[$y_1$] The outflow temperature
\end{description}
and the state is
\begin{description}
\item[$x_1$] The heat contained in the tank.
\end{description}
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