wip

MXfastStageDoc/MXfastStage.tex

@@ -250,7 +250,22 @@ The resistance of the stage is 8.8 $\Omega$\\
 The inductance of the stage is 2.4 mH.\\
 
 Nevertheless simulations with \verb|current_loop.slx| showed, that the current loop only works in the discrete domain. In continous domain neither the amplification nor the shape mached.\\
-Therefore the only approach is to use the second order transfer function as approximated in section \ref{sec:measCurStep}.
+Therefore the only approach is to use the second order transfer function as approximated in section \ref{sec:measCurStep}.\\
+
+\textbf{TODO:}
+
+A further test will be to 'remove' the current loop. This can be done by setting:$IiGain=0, IpfGain=1, IpbGain=-1$.
+The resulting transfer function is: 
+\[
+\frac{Ipf}
+{\frac{L}{PwmSF}s +\frac{R}{PwmSF}} =\\
+\frac{Ipf \cdot PwmSF}
+{L s +R} =\\
+\frac{\frac{Ipf \cdot PwmSF}{R}}
+{\frac{L}{R} s +1}\\
+\\
+\]
+This is a $PT_1$ element with a time constant of $\frac{L}{R}=\frac{2.4mH}{8.8\Omega}=0.27ms$. But probably due to additional cables etc. the resistance and therefore also the timeconstant is bigger.
 
 \subsection{Mechanical model}