From 0c73f3a1699d86b1a3d41b0e4a16f468da68e072 Mon Sep 17 00:00:00 2001 From: Michaela Gremer Date: Wed, 29 Apr 2020 20:29:49 +0200 Subject: [PATCH] =?UTF-8?q?Erweiterung=20bis=20L=C3=A4uferspannungsgleichu?= =?UTF-8?q?ng?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ENT4_FS.pdf | Bin 823395 -> 826707 bytes ENT4_FS.tex | 49 ++++++++++++++++++++++++++++++++++++++++++++++++- 2 files changed, 48 insertions(+), 1 deletion(-) diff --git a/ENT4_FS.pdf b/ENT4_FS.pdf index ad2745f3442540dfc7e1696ed24603c692851c24..fa85502390dcb058f60dda0ffb99387aa0e0b1d5 100644 GIT binary patch delta 46396 zcmZsD2RzmP_rH7Xx4maZ_P)d3C6Tg;$fgoWMpU>)wn(Wrl|+)PtZbQCS&7OfBxN>a z`@QZJeIEbs|MPhC`Ml0O=XGA^bk zkh7jN@e(qp<+n%c82l{x%RMWO?`W5; zUC)jz?wW5U{n1Xlt!1mv5=wPLwl1)Hw;1j@j0@VXo|Q?VjVOFT(QO~FyD;1|*|d{8 z+jIFeOeL>zdwx5H+k*|J(w=>oFzE49et49AYhF1ll6LUN`p)RWb>BcskJ83JEPg## z7VBP*EPfc=4yv>rpW5VAP#}4I`z7Dd&CEDYW2wm*q4J;etLnouT-U0Vxr?`Ef;NM2 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\subheading{Stationär} + ToDo: Eintragen der Abkürzungen in das Abkürzungsverzeichnis!!!\\ + ESB von magnetisch gekoppelten Stromkreisen einfügen\\ Spannungsgleichungen der beiden Stromkreise \begin{equation} @@ -371,7 +373,52 @@ hypertexnames=false % Zur korrekten Erstellung der Bookmarks Spannungsgleichung in Raumzeigerdarstellung\\ \begin{equation} - \vec{U}_1^S = R_1\cdot \vec{I}_1^S + \frac{d\vec{\phi}_1^S}{dt} + \vec{U}_1^S = R_1\cdot \vec{I}_1^S + \frac{d\vec{\psi}_1^S}{dt} + \end{equation} + + Allgemein Flussverkettung + \begin{equation} + \psi = N \cdot \phi + \end{equation} + + Flussverkettung im Ständer + \begin{equation} + \vec{\psi}_1^S =l_1 \cdot \vec{I}_1^S + M\cdot \vec{I}_2^S + \end{equation} + + Flussverkettung des Ständers im rotierenden Koordinatensystem + \begin{equation} + \vec{\psi}_1^k =\vec{\psi}_1^S \cdot e^{j\beta k} + \end{equation} + + Flussverkettung des Ständers im ständerfesten Koordinatensystem + \begin{equation} + \vec{\psi}_1^S = \vec{\psi}_1^k \cdot e^{j\beta_k} + \end{equation} + + Flussverkettung im Läufer + \begin{equation} + \vec{\psi}_2^S =l_2 \cdot \vec{I}_2^S + M\cdot \vec{I}_1^S + \end{equation} + + Ständerstromraumzeiger + \begin{equation} + \vec{I}_1^S = \frac{\vec{\psi}_1^S}{\sigma_{L1}} - \frac{M}{\sigma L_1 L_2}\cdot \vec{\psi}_2^S + \end{equation} + + Läuferstromraumzeiger + \begin{equation} + \vec{I}_2^S = \frac{\vec{\psi}_2^S}{\sigma_{L2}} - \frac{M}{\sigma L_1 L_2}\cdot \vec{\psi}_1^S = \frac{\vec{I}_\mu^S - \vec{I}_1^S}{1+\sigma_2} + \end{equation} + + Ständerspannungsgleichung + \begin{equation} + \vec{U}_1^k = R_1 \cdot \vec{I}_1^k+\frac{d\vec{\psi}_1^k}{dt}+j\omega_k \cdot \vec{\psi}_1^k + \end{equation} + + Läuferspannungsgleichung + \begin{equation} + \vec{U}_2^k = R_2 \cdot \vec{I}_2^k+\frac{d\vec{\psi}_2^k}{dt}+j(\omega_k -\omega_L)\cdot \vec{\psi}_2^k \end{equation} ..... nachher geht es weiter