Merge branch 'main' of https://github.com/IAS-Uni-Siegen/PE_course

IAS-Uni-Siegen · Jan 28, 2025 · b0392e2 · b0392e2
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diff --git a/exercise/fig/ex05/Fig_TEST.tex b/exercise/fig/ex05/Fig_TEST.tex
@@ -1,7 +1,12 @@
 \begin{figure}
     \begin{tikzpicture}
         \pgfplotsset{table/search path={fig/ex05}}
-        \begin{groupplot}[group style={group size=1 by 3, xticklabels at = edge bottom, vertical sep=0.75cm}, height=0.375\textheight, width=0.875\textwidth, xmin=0, xmax=pi, grid,clip = false, ymin = -0.1, ymax =1.1, xtick = {0, pi/4, pi/2, 3*pi/4,pi}, xticklabels = {0,$\frac{1}{4}\pi$, $\frac{1}{2}\pi$,$\frac{3}{4}\pi$, $\pi$}, ytick = {-1, 0, 1}, yticklabels = {, 0, 1}]
+        \begin{groupplot}[group style={group size=1 by 3, vertical sep=1.5cm},  
+            height=0.375\textheight, width=0.875\textwidth, xmin=0, xmax=pi, 
+            grid, clip = false, ymin = -0.1, ymax = 1.1, 
+            xtick = {0, pi/4, pi/2, 3*pi/4, pi}, 
+            xticklabels = {0,$2.5$, $5$,$7.5$, $10$}, 
+            ytick = {-1, 0, 1}, yticklabels = {, 0, 1}]
 
             %  % Top plot: duty cycle and carrier signal
             \nextgroupplot[ylabel = {$d(t), c(t)$}, legend pos=south east, legend columns=2]
@@ -14,10 +19,25 @@
             \addplot[signalblue, thick] table[x=wt, y=s, col sep=comma] {PWM_PFC_example.csv}; 
 
             % bottom plot: current response 
-            \nextgroupplot[ylabel = {$i_1(t)$}, xlabel={$\omega t$}, ytick = {-1, 0, 0.5, 1}, yticklabels = {}, legend columns=2] 
+            \nextgroupplot[ylabel = {$i_1(t)/{A}$}, xlabel={$t/\text{ms}$}, 
+            ytick = {-1, 0, 0.5, 1}, yticklabels = {}, legend columns=2, ylabel shift = 0.2cm]  
             \addplot[signalred, thick] table[x=wt, y=i1, col sep=comma] {PWM_PFC_example.csv}; 
             \addplot[thick, dashed] table[x=wt, y=i1ref, col sep=comma] {PWM_PFC_example.csv};
+            % \addplot[domain=0:pi, samples=100, signalgreen, dashed, thick]{1.22*sin(deg(x))-0.7*sin(deg(x))*(1-sin(deg(x))/1.3)};
+            % Obere Einhüllende: umschließt die Maximalwerte
+    \addplot[domain=0:pi, samples=100, signalgreen, dashed, thick]{1 * sin(deg(x))};
+
+            \addplot[domain=0:pi, samples=100, signalgreen, dashed, thick]{0.97*sin(deg(x))-0.9*sin(deg(x))*(1-sin(deg(x))/1.3)};
             \legend{$i_1(t)$, $i_1^{(1)}(t)$} 
+            \node at (0,0) [left] {$0$}; 
+            \node at (0,0.18) [left] {$5$}; 
+            \node at (0,0.36) [left] {$10$}; 
+            \node at (0,0.55) [left] {$15$}; 
+            \node at (0,0.73) [left] {$20$}; 
+            \node at (0,0.92) [left] {$25$}; 
+            \node at (0,1.1) [left] {$30$}; 
+
+
          \end{groupplot}
     \end{tikzpicture}
 \end{figure}
diff --git a/exercise/fig/ex05/Fig_courses_i'.tex b/exercise/fig/ex05/Fig_courses_i'.tex
@@ -1,141 +1,35 @@
 \begin{figure}[htb]
     \centering
-    % First TikZ picture
-    \begin{tikzpicture}
-        \begin{axis}[
-            xlabel={$t / \mathrm{ms}$},
-            ylabel={$i(t) / A$},
-            axis lines=left,
-            ymin=0, ymax=30,
-            xmin=0, xmax=10,
-            xtick={0,1,2,3,4,5,6,7,8,9,10},
-            ytick={0,5,10,15,20,25,30},
-            thick,
-            smooth,
-            no markers,
-            height=7cm,
-            width=0.99\textwidth,
-            grid
-            ]
+       \begin{tikzpicture}
+        \pgfplotsset{table/search path={fig/ex05}}
+        \begin{groupplot}[group style={group size=1 by 3, vertical sep=1.5cm},  
+                         height=0.375\textheight, width=0.875\textwidth, xmin=0, xmax=pi, 
+                         grid, clip = false, ymin = -0.1, ymax = 1.1, 
+                         xtick = {0, pi/4, pi/2, 3*pi/4, pi}, 
+                         xticklabels = {0,$2.5$, $5$,$7.5$, $10$}, 
+                         ytick = {-1, 0, 1}, yticklabels = {, 0, 1}]
 
-            \addplot[signalred, domain=0:10, samples=200] {24.5 * (1 - ((x-5)/5)^2)};
-       %     \addplot [signalgreen, domain=0:3.5, draw=none] {24.5 * (1 - ((x-5)/5)^2)};
-%\addlegendentry{first plot}
-        \addplot[thick, domain=0:10,signalgreen]
-         %   (0,0) -- (0.48,2.35)
-           % -- (0.5, 0.95) -- (0.935, 7.27)
-           % -- (1.008, 2.5) --
-            (1.25,8.6) -- (1.388,12.2)-- (1.520,5.5) 
-            -- (1.852,16.4)-- (2.044,8.3)
-            -- (2.35,19.9) -- (2.58,11.3) 
-            -- (2.82,22.7) -- (3.1,14.5) 
-            -- (3.3,24.9) -- (3.6,17.2)
-            -- (3.8,26.3) -- (4.1,19.5)  
-            -- (4.2,27.2) -- (4.6,21) 
-            -- (4.7,27.8) -- (5.15,21.8) 
-            -- (5.2,27.9) -- (5.6,21.5) 
-            -- (5.7,27.5) --(6.1,20.5) 
-            -- (6.2,26.9) -- (6.6,18.7)
-            -- (6.8,25.8) -- (7.1,16.3) 
-            -- (7.3,24.2) -- (7.62,13.5)
-            -- (7.84,21.9) -- (8.156,10.5) 
-            -- (8.462,19)-- (8.68,7.5) 
-            -- (8.942,15.1) -- (9.084,4.2) 
-            -- (9.319,10.2) -- (9.58,1.8)  
-            --  (9.9,4.2) -- (10,0);
-          %  \addplot[signalred, domain=0:10, samples=200] {15.5 * (1 - ((x-5)/5)^2)};
-            \legend{$i'^*(t)$, $i'(t)$}
-            \end{axis}
-    \end{tikzpicture}
-
-
-    \begin{tikzpicture}
-        \begin{axis}[
-           % \hspace{1cm} % Grafiken um 2 cm nach rechts verschieben
-            xlabel={$t / \mathrm{ms}$},
-            ylabel={$s(t)$},
-            axis lines=left,
-            ymin=-0.1, ymax=1.1,
-            xmin=0, xmax=10,
-            xtick={0,1,2,3,4,5,6,7,8,9,10},
-            ytick={-0.1,0,0.5,1},
-            yticklabels={{\color{white}$00$}, {\color{black}$0$},{\color{white}$00$},{\color{black}$1$}},
-            thick,
-            smooth,
-            height=7cm,
-            width=0.99\textwidth,
-            grid
-            ]
-
-
-            \draw[signalblue, opacity=1] 
-                (axis cs:0, 1) -- (axis cs:0.48, 1) -- (axis cs:0.48, 0)-- (axis cs:0.5, 0);
+            % bottom plot: current response 
+            \nextgroupplot[ylabel = {$i_1(t)/{A}$}, xlabel={$t/\text{ms}$}, 
+                           ytick = {-1, 0, 0.5, 1}, yticklabels = {}, legend columns=2, ylabel shift = 0.2cm] 
+            \addplot[signalred, thick] table[x=wt, y=i1, col sep=comma] {PWM_PFC_example copy.csv}; 
+            \addplot[thick, dashed] table[x=wt, y=i1ref, col sep=comma] {PWM_PFC_example.csv};
+            \legend{$i_1(t)$, $i_1^{(1)}(t)$} 
+            \node at (0,0) [left] {$0$}; 
+            \node at (0,0.18) [left] {$5$}; 
+            \node at (0,0.36) [left] {$10$}; 
+            \node at (0,0.55) [left] {$15$}; 
+            \node at (0,0.73) [left] {$20$}; 
+            \node at (0,0.92) [left] {$25$}; 
+            \node at (0,1.1) [left] {$30$}; 
 
-            \draw[signalblue, opacity=1] 
-                (axis cs:0.5,0) -- (axis cs:0.5, 1) -- (axis cs:0.935, 1) -- (axis cs:0.935, 0)--(axis cs:1.008, 0);
-
-
-            \draw[signalblue, opacity=1] 
-            (axis cs:1.008, 0)--(axis cs:1.008, 1) -- (axis cs:1.388, 1) -- (axis cs:1.388, 0)-- (axis cs:1.52, 0);
-
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:1.52, 0)--(axis cs:1.52, 1) -- (axis cs:1.852, 1) -- (axis cs:1.852, 0)--(axis cs:2.044, 0);
-
-                \draw[signalblue, opacity=1]  
-                (axis cs:2.044, 0)--(axis cs:2.044, 1) -- (axis cs:2.35, 1) -- (axis cs:2.35, 0)--(axis cs:2.58, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:2.58, 0)--(axis cs:2.58, 1) -- (axis cs:2.82, 1) -- (axis cs:2.82, 0)--(axis cs:3.1, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:3.1, 0)--(axis cs:3.1, 1) -- (axis cs:3.3, 1) -- (axis cs:3.3, 0)--(axis cs:3.6, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:3.6, 0)--(axis cs:3.6, 1) -- (axis cs:3.8, 1) -- (axis cs:3.8, 0)--(axis cs:4.1, 0);    
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:4.1, 0)--(axis cs:4.1, 1) -- (axis cs:4.2, 1) -- (axis cs:4.2, 0)--(axis cs:4.6, 0);   
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:4.6, 0)--(axis cs:4.6, 1) -- (axis cs:4.7, 1) -- (axis cs:4.7, 0)-- (axis cs:5.15, 0); 
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:5.15, 0)-- (axis cs:5.15, 1) -- (axis cs:5.2, 1) -- (axis cs:5.2, 0)--(axis cs:5.6, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:5.6, 0)--(axis cs:5.6, 1) -- (axis cs:5.7, 1) -- (axis cs:5.7, 0)--(axis cs:6.1, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:6.1, 0)--(axis cs:6.1, 1) -- (axis cs:6.2, 1) -- (axis cs:6.2, 0)--(axis cs:6.6, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:6.6, 0)--(axis cs:6.6, 1) -- (axis cs:6.8, 1) -- (axis cs:6.8, 0)--(axis cs:7.1, 0);
+            % middle plot: switching signal
+            \nextgroupplot[ylabel = {$s(t)$}, xlabel={$t/\text{ms}$}]
+            \addplot[signalblue, thick] table[x=wt, y=s, col sep=comma] {PWM_PFC_example.csv}; 
 
-                \draw[signalblue, opacity=1] 
-                (axis cs:7.1, 0)--(axis cs:7.1, 1) -- (axis cs:7.3, 1) -- (axis cs:7.3, 0)--(axis cs:7.62, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:7.62, 0)--(axis cs:7.62, 1) -- (axis cs:7.84, 1) -- (axis cs:7.84, 0)--(axis cs:8.156, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:8.156, 0)--(axis cs:8.156, 1) -- (axis cs:8.462, 1) -- (axis cs:8.462, 0)--(axis cs:8.68, 0);
-
-                \draw[signalblue, opacity=1]  
-                (axis cs:8.68, 0)--(axis cs:8.68, 1) -- (axis cs:8.942, 1) -- (axis cs:8.942, 0)-- (axis cs:9.084, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:9.084, 0)--(axis cs:9.084, 1) -- (axis cs:9.319, 1) -- (axis cs:9.319, 0)--(axis cs:9.58, 0);
-
-                \draw[signalblue, opacity=1]  
-                (axis cs:9.58, 0)--(axis cs:9.58, 1) -- (axis cs:9.9, 1) -- (axis cs:9.9, 0)--(axis cs:10, 0);
-
-
-
-        \end{axis}
+        \end{groupplot}
     \end{tikzpicture}
-
 
-    \caption{Current $i'$ and control signal for power transistor $T$.}
-    \label{fig:Current i' control signal ex05}
+    \caption{Current $i_1(t)$ and control signal $s(t)$ for power transistor $T$.}
+    \label{fig:Current i_1 and control signal ex05}
 \end{figure}
diff --git a/exercise/fig/ex05/Fig_courses_i'_results.tex b/exercise/fig/ex05/Fig_courses_i'_results.tex
@@ -1,142 +1,39 @@
 \begin{solutionfigure}[htb]
     \centering
-    % First TikZ picture
     \begin{tikzpicture}
-        \begin{axis}[
-            xlabel={$t / \mathrm{ms}$},
-            ylabel={$i(t) / A$},
-            axis lines=left,
-            ymin=0, ymax=30,
-            xmin=0, xmax=10,
-            xtick={0,1,2,3,4,5,6,7,8,9,10},
-            ytick={0,5,10,15,20,25,30},
-            thick,
-            smooth,
-            no markers,
-            height=7cm,
-            width=0.99\textwidth,
-            grid
-            ]
-
-            \addplot[dashed, black, domain=0:10, samples=200] {24.5 * (1 - ((x-5)/5)^2)};
-
-       %     \addplot [signalgreen, domain=0:3.5, draw=none] {24.5 * (1 - ((x-5)/5)^2)};
-%\addlegendentry{first plot}
-        \addplot[thick, domain=0:10,signalred]
-            (0,0) -- (0.48,2.35)
-            -- (0.5, 0.95) -- (0.935, 7.27)
-            -- (1.008, 2.5) --
-            (1.25,8.6) -- (1.388,12.2)-- (1.520,5.5) 
-            -- (1.852,16.4)-- (2.044,8.3)
-            -- (2.35,19.9) -- (2.58,11.3) 
-            -- (2.82,22.7) -- (3.1,14.5) 
-            -- (3.3,24.9) -- (3.6,17.2)
-            -- (3.8,26.3) -- (4.1,19.5)  
-            -- (4.2,27.2) -- (4.6,21) 
-            -- (4.7,27.8) -- (5.15,21.8) 
-            -- (5.2,27.9) -- (5.6,21.5) 
-            -- (5.7,27.5) --(6.1,20.5) 
-            -- (6.2,26.9) -- (6.6,18.7)
-            -- (6.8,25.8) -- (7.1,16.3) 
-            -- (7.3,24.2) -- (7.62,13.5)
-            -- (7.84,21.9) -- (8.156,10.5) 
-            -- (8.462,19)-- (8.68,7.5) 
-            -- (8.942,15.1) -- (9.084,4.2) 
-            -- (9.319,10.2) -- (9.58,1.8)  
-            --  (9.9,4.2) -- (10,0);
-          %  \addplot[signalred, domain=0:10, samples=200] {15.5 * (1 - ((x-5)/5)^2)};
-          \addplot[signalgreen, dashed, domain=0:10, samples=200] {27.9 * (1 - ((x - 5)/5)^2)};
-            \legend{$i'^*(t)$, $i'(t)$}%, $enveloping$}
-            \end{axis}
-      \end{tikzpicture}
-
-
-    \begin{tikzpicture}
-        \begin{axis}[
-           % \hspace{1cm} % Grafiken um 2 cm nach rechts verschieben
-            xlabel={$t / \mathrm{ms}$},
-            ylabel={$s(t)$},
-            axis lines=left,
-            ymin=-0.1, ymax=1.1,
-            xmin=0, xmax=10,
-            xtick={0,1,2,3,4,5,6,7,8,9,10},
-            ytick={-0.1,0,0.5,1},
-            yticklabels={{\color{white}$00$}, {\color{black}$0$},{\color{white}$00$},{\color{black}$1$}},
-            thick,
-            smooth,
-            height=7cm,
-            width=0.99\textwidth,
-            grid
-            ]
-
-
-            \draw[signalblue, opacity=1] 
-                (axis cs:0, 1) -- (axis cs:0.48, 1) -- (axis cs:0.48, 0)-- (axis cs:0.5, 0);
-
-            \draw[signalblue, opacity=1] 
-                (axis cs:0.5,0) -- (axis cs:0.5, 1) -- (axis cs:0.935, 1) -- (axis cs:0.935, 0)--(axis cs:1.008, 0);
-
-
-            \draw[signalblue, opacity=1] 
-            (axis cs:1.008, 0)--(axis cs:1.008, 1) -- (axis cs:1.388, 1) -- (axis cs:1.388, 0)-- (axis cs:1.52, 0);
-
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:1.52, 0)--(axis cs:1.52, 1) -- (axis cs:1.852, 1) -- (axis cs:1.852, 0)--(axis cs:2.044, 0);
-
-                \draw[signalblue, opacity=1]  
-                (axis cs:2.044, 0)--(axis cs:2.044, 1) -- (axis cs:2.35, 1) -- (axis cs:2.35, 0)--(axis cs:2.58, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:2.58, 0)--(axis cs:2.58, 1) -- (axis cs:2.82, 1) -- (axis cs:2.82, 0)--(axis cs:3.1, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:3.1, 0)--(axis cs:3.1, 1) -- (axis cs:3.3, 1) -- (axis cs:3.3, 0)--(axis cs:3.6, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:3.6, 0)--(axis cs:3.6, 1) -- (axis cs:3.8, 1) -- (axis cs:3.8, 0)--(axis cs:4.1, 0);    
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:4.1, 0)--(axis cs:4.1, 1) -- (axis cs:4.2, 1) -- (axis cs:4.2, 0)--(axis cs:4.6, 0);   
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:4.6, 0)--(axis cs:4.6, 1) -- (axis cs:4.7, 1) -- (axis cs:4.7, 0)-- (axis cs:5.15, 0); 
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:5.15, 0)-- (axis cs:5.15, 1) -- (axis cs:5.2, 1) -- (axis cs:5.2, 0)--(axis cs:5.6, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:5.6, 0)--(axis cs:5.6, 1) -- (axis cs:5.7, 1) -- (axis cs:5.7, 0)--(axis cs:6.1, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:6.1, 0)--(axis cs:6.1, 1) -- (axis cs:6.2, 1) -- (axis cs:6.2, 0)--(axis cs:6.6, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:6.6, 0)--(axis cs:6.6, 1) -- (axis cs:6.8, 1) -- (axis cs:6.8, 0)--(axis cs:7.1, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:7.1, 0)--(axis cs:7.1, 1) -- (axis cs:7.3, 1) -- (axis cs:7.3, 0)--(axis cs:7.62, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:7.62, 0)--(axis cs:7.62, 1) -- (axis cs:7.84, 1) -- (axis cs:7.84, 0)--(axis cs:8.156, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:8.156, 0)--(axis cs:8.156, 1) -- (axis cs:8.462, 1) -- (axis cs:8.462, 0)--(axis cs:8.68, 0);
-
-                \draw[signalblue, opacity=1]  
-                (axis cs:8.68, 0)--(axis cs:8.68, 1) -- (axis cs:8.942, 1) -- (axis cs:8.942, 0)-- (axis cs:9.084, 0);
-
-                \draw[signalblue, opacity=1] 
-                (axis cs:9.084, 0)--(axis cs:9.084, 1) -- (axis cs:9.319, 1) -- (axis cs:9.319, 0)--(axis cs:9.58, 0);
-
-                \draw[signalblue, opacity=1]  
-                (axis cs:9.58, 0)--(axis cs:9.58, 1) -- (axis cs:9.9, 1) -- (axis cs:9.9, 0)--(axis cs:10, 0);
-
-
-
-        \end{axis}
-    \end{tikzpicture}
-
+        \pgfplotsset{table/search path={fig/ex05}}
+        \begin{groupplot}[group style={group size=1 by 3, vertical sep=1.5cm},  
+            height=0.375\textheight, width=0.875\textwidth, xmin=0, xmax=pi, 
+            grid, clip = false, ymin = -0.1, ymax = 1.1, 
+            xtick = {0, pi/4, pi/2, 3*pi/4, pi}, 
+            xticklabels = {0,$2.5$, $5$,$7.5$, $10$}, 
+            ytick = {-1, 0, 1}, yticklabels = {, 0, 1}]
+  % bottom plot: current response 
+  \nextgroupplot[ylabel = {$i_1(t)/{A}$}, xlabel={$t/\text{ms}$}, 
+  ytick = {-1, 0, 0.5, 1}, yticklabels = {}, legend columns=2, ylabel shift = 0.2cm] 
+  \addplot[signalred, thick] table[x=wt, y=i1, col sep=comma] {PWM_PFC_example.csv}; 
+  \addplot[thick, dashed] table[x=wt, y=i1ref, col sep=comma] {PWM_PFC_example.csv};
+  % \addplot[domain=0:pi, samples=100, signalgreen, dashed, thick]{1.22*sin(deg(x))-0.7*sin(deg(x))*(1-sin(deg(x))/1.3)};
+  % Obere Einhüllende: umschließt die Maximalwerte
+\addplot[domain=0:pi, samples=100, signalgreen, dashed, thick]{1 * sin(deg(x))};
+
+  \addplot[domain=0:pi, samples=100, signalgreen, dashed, thick]{0.97*sin(deg(x))-0.9*sin(deg(x))*(1-sin(deg(x))/1.3)};
+  \legend{$i_1(t)$, $i_1^{(1)}(t)$} 
+  \node at (0,0) [left] {$0$}; 
+  \node at (0,0.18) [left] {$5$}; 
+  \node at (0,0.36) [left] {$10$}; 
+  \node at (0,0.55) [left] {$15$}; 
+  \node at (0,0.73) [left] {$20$}; 
+  \node at (0,0.92) [left] {$25$}; 
+  \node at (0,1.1) [left] {$30$};  
+  \nextgroupplot[ylabel = {$s(t)$}] 
+  \addplot[signalblue, thick] table[x=wt, y=s, col sep=comma] {PWM_PFC_example.csv}; 
+  \nextgroupplot[ylabel = {$d(t), c(t)$}, legend pos=south east, legend columns=2]
+             \addplot[signalred, thick] table[x=wt, y=d, col sep=comma] {PWM_PFC_example.csv}; 
+            \addplot[signalblue, thick] table[x=wt, y=c, col sep=comma] {PWM_PFC_example.csv}; 
+            \legend{$d(t)$, $c(t)$}          
+\end{groupplot}
+\end{tikzpicture}
     \caption{Current $i'$ and control signal for transistor $T$.}
     \label{fig:Current i' control signal ex05 result}
 \end{solutionfigure}