Changeset 807 for applications/dual

Timestamp:

02/17/10 11:08:45 (14 years ago)

Author:

smidl

Message:

pmsm

Location:

applications/dual/texts

Files:

• pmsm_system.lyx (modified) (2 diffs)
• pmsm_system.pdf (modified) (previous)

applications/dual/texts/pmsm_system.lyx

@@ -218 +218 @@
 \isa{,t+1} & =(1-\frac{R_{s}}{L_{s}}\Dt)\isa{,t}+\frac{\Psi_{pm}}{L_{s}}\Dt\omega_{t}\sin\vartheta_{e,t}+\usa{,t}\frac{\Dt}{L_{s}},\\
 \isb{,t+1} & =(1-\frac{R_{s}}{L_{s}}\Dt)\isb{,t}-\frac{\Psi_{pm}}{L_{s}}\Dt\omega_{t}\cos\vartheta_{t}+\usb{,t}\frac{\Dt}{L_{s}},\\
-\om_{t+1} & =(1--\frac{B}{J}\Dt)\om_{t}+\Dt\frac{k_{p}p_{p}^{2}\Psi_{pm}}{J}\left(\isb{,t}\cos(\th_{t})-\isa{,t}\sin(\th_{t})\right)-\frac{p_{p}}{J}T_{L}\Dt,\\
+\om_{t+1} & =(1-\frac{B}{J}\Dt)\om_{t}+\Dt\frac{k_{p}p_{p}^{2}\Psi_{pm}}{J}\left(\isb{,t}\cos(\th_{t})-\isa{,t}\sin(\th_{t})\right)-\frac{p_{p}}{J}T_{L}\Dt,\\
 \vartheta_{t+1} & =\vartheta_{t}+\omega_{t}\Dt.\end{align*}
 
@@ -452 +452 @@
 \begin_layout Standard
 Limits:
-\begin_inset Formula \begin{eqnarray*}
-u_{\alpha,max} & = & 50V,\\
-u_{\beta,max} & = & 50V.\end{eqnarray*}
+\begin_inset Formula \begin{align*}
+u_{\alpha,max} & =50V, & u_{\alpha,min} & =-50V,\\
+u_{\beta,max} & =50V. & u_{\beta,min} & =-50V,\end{align*}
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout Standard
+Perhaps better:
+\begin_inset Formula \[
+u_{\alpha}^{2}+u_{\beta}^{2}<100^{2}.\]
 
 \end_inset