From 1e1a9f8eb06196c88e26546518bdf28799b18c1a Mon Sep 17 00:00:00 2001 From: AnnetteSchmidt Date: Thu, 16 Apr 2020 22:55:01 +0200 Subject: [PATCH] =?UTF-8?q?erster=20Teil=20von=20Michaelas=20Zusammenfassu?= =?UTF-8?q?ng=20zum=20Netzunterkapitel(TEG)=20erg=C3=A4nzt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ENT4_FS.pdf | Bin 261467 -> 779825 bytes ENT4_FS.tex | 65 ++++++++++++++++++++++++++++++++++++++++++++-------- 2 files changed, 56 insertions(+), 9 deletions(-) diff --git a/ENT4_FS.pdf b/ENT4_FS.pdf index 434d88a539e2b49bf469eaa28ca1c87765eff440..6e485ceb4ad85defd8932f38b02f9a3b0828a1aa 100644 GIT binary patch delta 597902 zcmcG#1zeO**EddgN(e|SO2@+P5=(b?H_|2Dy&xcngwiD~As`?v2+|=S(x7xngS3GB zchO(n_j5n*^Sqz;51-wgYpyeA&di*1t~uW`*OwoJ)q`BmHPCqYq2Sc^J18u$3E?jZ zUwV@FkI4EuQ=rzwV`tCmwSo4Q0&&!-i5eB&51Q&(h#_G#cc@8n*CwX+1!6I#kus44 z3X`M>?_-@(XNjH}g)uZ>E3~%xUaT)~k<~m^sjy)4^GH-rS5zV?^&7DMZj;@T+48P6 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z(uY>B|554}wVI-VL;DtreFMr71_c)dsxrI|?urzPz{as04s|w)rJx}b^ed>)&xhMWA&gu(?;ke)As<22_6P&>%bcxlNNStTadnex%bNKOw>3+%>>;0DqLG zSg4uMz@hw9q-kI>A66QKAw+|YVkpgEP-CM(=5P>0Fog}!P^=)s!v18zQI0PdEQ9#5 z;ONR*2hO)YdQRW`#~?H`$ugi}@fkAUl+Cx8L22kH#(+VE?>YuUd1pm1|ACqUH3xtl z1O^K&q%{mZTs*-i;EUc*i-dNXm_C@fDSecob@fqjN@6iumm*jeXBH9*b#y2#;s0N< gQV70$_4aY{^6~Rp<06d#0}yhA^t5SuX8O|q16ZJSN&o-= diff --git a/ENT4_FS.tex b/ENT4_FS.tex index cd7e963..78d9907 100644 --- a/ENT4_FS.tex +++ b/ENT4_FS.tex @@ -38,6 +38,7 @@ headsep=2mm]{geometry} \usepackage[hyphens]{url} \usepackage{gensymb} %fürs degree Zeichen \usepackage{mdframed} %colored frames +\usepackage{pdfpages} %um pdfs einzubinden \usepackage[ pdftex, pdftitle={ENT4_FS}, @@ -134,39 +135,84 @@ hypertexnames=false % Zur korrekten Erstellung der Bookmarks $n = n_1$ & Läuferdrehzahl [$\frac{1}{min}$]\\ $s$ & Schlupf [\%]\\ $p$ & Polpaarzahl\\ + $\underline{I}_\mu$ & ?\\ + $\underline{I}_1$ & ?\\ + $\underline{I}_2$ & ?\\ \end{tabularx} $~^{1)}$ ' heißt die Läufergröße ist auf Ständer umgerechnet\\ $~^{2)}$ Index 1 immer Ständergröße, Index 2 immer Läufergröße\\ - \subheading{Am Netz} - Grundfeld einer Drehstromwicklung: + \subheading{Am Netz} + Voraussetzung für ein zeitlich konstantes Drehmoment ist ein mit konstanter Winkelgeschwindgkeit im Luftspalt umlaufendes, räumlich möglichst sinusförmig verteiltes magnetisches Feld. \\ + \colorbox{yellow!60}{Grundfeld einer Drehstromwicklung:} \begin{equation} b_p(x,t) = B_p \cdot cos(px -\omega_1t) \end{equation} - + Zusammenhang Ständer- und Läuferkoordinaten:\\ \includegraphics[width= 0.2\columnwidth]{ZusammenhangSaenderLaeufer.jpg} \begin{equation} x_1 = 2\pi nt+x_2 \end{equation} + \colorbox{yellow!60}{Frequenz:} \begin{equation} f_2 = f_1 \cdot (1-n\cdot p/f_1) = f_1 - pn \end{equation} - Bei stillstehendem Läufer (n = 0) sind Sänder- und Läuferfrequenz gleich ($f_2 = f_1$). Wenn sich der Läufer mit der Drehzahl + Bei stillstehendem Läufer (n = 0) sind Sänder- und Läuferfrequenz gleich ($f_2 = f_1$). Wenn sich der Läufer mit der \colorbox{yellow!60}{synchronen Drehzahl} \begin{equation} - n = n_1 = f_1/p + n = n_1 = f_1/p = 1-\frac{p\cdot n}{f_1} \end{equation} dreht, so ist die Läuferfrequenz Null. \begin{equation} f_2 = s\cdot f_1 \end{equation} - + \colorbox{yellow!60}{Schlupf:}\\ Bei Leerlauf ist s = 0, im Stillstand s = 1. \begin{equation} s = 1-\frac{p\cdot n}{f_1} = 1-\frac{n}{n_1} = \frac{n_1-n}{n_1} \end{equation} - Prozentuale Abweichung der Drehzahl zur Synchrondrehzahl - - + Prozentuale/relative Abweichung der Läuferdrehzahl von der \colorbox{yellow!60}{synchronen Drehzahl $n_1$} (bei Synchronmaschinen ist s = 0, bei ASM möglichst klein)\\ + \subsubheading{Ersatzschaltbild} + Strangsröme werden im ESB mit ' gekennzeichnet (sie unterscheiden sich nur duch die Phasenlagen)\\ \includegraphics[width= 0.5\columnwidth]{ErsatzschaltbildAsynchr.jpg} + \begin{equation} + \underline{I}_\mu = \underline{I}_1 + \underline{I}_2 + \end{equation} + \textcolor{magenta}{Kanns sein, dass in der Formel die ' nicht passen?} + \colorbox{yellow!60}{Leitwertsortskurve(?????)} + \begin{equation} + s = 0:~~~~~~~~\underline{Y}_0 = \frac{-j}{X_R} + \end{equation} + \begin{equation} + s = \infty:~~~~~~~~\underline{Y}_\infty = \frac{-j}{X_R} - \frac{j}{X_K} + \end{equation} + \colorbox{yellow!60}{Kreismuttelpunkt:} + \begin{equation} + \underline{Y} = \frac{-j}{X_R}- \frac{j}{2X_K} + \end{equation} + \colorbox{yellow!60}{Kreisradius:} + \begin{equation} + r = \frac{1}{2X_K} + \end{equation} + im Läufer \colorbox{yellow!60}{umgesetzte Leistung:} (Läuferverlustleistung) + \begin{equation} + P_\mu = 3\cdot I_2' \cdot \frac{R_2'}{s} = s \cdot P_\mu + (1-s)\cdot P_\mu = P_{Cu2} + P_{mech} + \end{equation} + 'Gesetz über die Spaltung der Luftspaltleitung':\\ + \colorbox{yellow!60}{Stromwärmeverluste} in der Läuferwicklung: + \begin{equation} + P_{Cu2} = 3\cdot I_2' \cdot R_2' = s\cdot P_\mu + \end{equation} + \colorbox{yellow!60}{mechanische Leistung:} + \begin{equation} + P_{mech} = P_\mu - P_{Cu2} = P_\mu \cdot (1-s) + \end{equation} + \colorbox{yellow!60}{Drehmoment:} + \begin{equation} + M = \frac{P_{mech}}{2\pi n} = \frac{P_\mu (1-s)}{2\pi n_1 (1-s)} = \frac{P_\mu}{2\pi n_1} + \end{equation} + \colorbox{yellow!60}{Wirkungsgrad:} + \begin{equation} + \eta = \frac{P_{Welle}}{P_{el}} + \end{equation} \subheading{Stationär} @@ -174,6 +220,7 @@ hypertexnames=false % Zur korrekten Erstellung der Bookmarks \end{multicols*} \begin{multicols*}{2} + \includepdf[width = \columnwidth]{Abbildungen/SOK_TEG_FS.pdf} \subheading{Synchronmaschine} \begin{tabularx}{\columnwidth}{p{2cm} X} \textbf{Formelzeichen} & \textbf{Beschreibung} \\

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