1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
|
% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system sRS (sRS_desc.tex)
% Generated by MTT on Tue Jul 3 04:04:25 BST 2001.
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.1 2000/12/28 09:13:38 peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
The acausal bond graph of system \textbf{sRS} is
displayed in Figure \Ref{fig:sRS_abg.ps} and its label
file is listed in Section \Ref{sec:sRS_lbl}.
The subsystems are listed in Section \Ref{sec:sRS_sub}.
This component implements the \emph{sensitivity} component
corresponding to the \textbf{RS} component.
\begin{itemize}
\item The non-thermal side is just the sensitivity R component
\textbf{sR}.
\item The thermal side implements:
\begin{equation}
\dot{s} = \frac{ef}{T}
\end{equation}
\begin{equation}
{\dot{s}}^\prime = \frac{(e^\prime f + ef^\prime)T - efT^\prime }{T^2}
\end{equation}
where the prime indicates the derivative with respect to the
sensitivity parameter.
\end{itemize}
|
|
|
>
>
>
|
|
|
|
|
<
|
|
|
|
|
|
>
>
>
>
|
|
|
<
<
<
|
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
|
% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system sRS (sFMR_desc.tex)
% Generated by MTT on Thu Jul 5 23:47:35 BST 2001.
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.1 2001/07/06 01:17:14 gawthrop
% %% New sensitivity components (for extruder model)
% %%
% %% Revision 1.1 2000/12/28 09:13:38 peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
The acausal bond graph of system \textbf{sRS} is
displayed in Figure \Ref{fig:sFMR_abg.ps} and its label
file is listed in Section \Ref{sec:sFMR_lbl}.
The subsystems are listed in Section \Ref{sec:sFMR_sub}.
This is the sensitivity version of the \textbf{FMR} (flow-modulated
resistor) component.
In the linear case, the CR of the standard port is:
\begin{equation}
e = mrf
\end{equation}
where $e$ is the effort, $m$ the (flow) modulation, $r$ the
``resistance'' and $f$ the flow.
The corresponding sensitivity CR is:
\begin{equation}
e^\prime = m^\prime rf + mr^\prime f + mrf^\prime
\end{equation}
|