did stuff
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Build Typst PDFs (Docker) / build-typst (push) Successful in 32s
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alexander
@@ -205,8 +205,62 @@
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$i_(cal(F),2) = i_(cal(F),1)$
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],
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)
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*Kennline Addition* \
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#grid(
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columns: (1fr, auto, 1fr),
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row-gutter: 2mm,
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column-gutter: 3mm,
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[Parallel-Schaltung], $-->$, [$i$-Richtung],
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[Reihe-Schaltung], $-->$, [$u$-Richtung],
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)
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]
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#bgBlock(fill: colorAllgemein)[
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#subHeading(fill: colorAllgemein)[Spannungs Teiler/Strom Teiler]
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#table(
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columns: (1fr, 1fr),
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fill: (x, y) => if calc.rem(x, 2) == 1 { tableFillLow } else { tableFillHigh },
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[*Spannungsteiler*],
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[*Stromteiler*],
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zap.circuit({
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import zap : *
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node("N1", (0,1.5))
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node("N2", (0,0))
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node("N3", (0,-1.5))
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resistor("R1", "N1", "N2", label: (content: $R_2$, distance: 0.1), scale: 0.7, fill: none)
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resistor("R2", "N2", "N3", label: (content: $R_1$, distance: 0.1), scale: 0.7, fill: none)
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joham.voltage((-0.4, 0), (-0.4, -1.5), $u_"out"$)
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joham.voltage((0.8, 1.5), (0.8, -1.5), $u_"ges"$, anchor: "west")
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wire((-0.6, 1.5),(0.8, 1.5))
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wire((-0.6, -1.5),(0.8, -1.5))
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wire((-0.6, 0),(0,0))
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}),
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zap.circuit({
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import zap : *
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node("N1", (0,0))
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node("N2", (0,2))
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resistor("R1", "N1", "N2", label: (content: $R_1$, distance: 0.1), scale: 0.7, fill: none, i: (content: $i_"out"$, anchor: "south", distance: 0.25, invert: true))
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resistor("R2", (1,0), (1,2), label: (content: $R_2$, distance: 0.1), scale: 0.7, fill: none)
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wire((-1, 0), "R2.in")
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wire((-1, 2), "R2.out")
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wire((-1, 2), "N2", i: (content: $i_"ges"$, distance: 0.1))
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}),
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$ u_"out" = R_1/(R_1 + R_2) $, $ i_"out" = R_2/(R_1 + R_2) i_"ges" $,
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$ u_"out" = G_2/(G_1 + G_2) $, $ i_"out" = G_1/(G_1 + G_2) i_"ges" $
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)
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]
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// Lineare Quelle
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#bgBlock(fill: colorEineTore)[
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@@ -440,6 +494,7 @@
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$L --> C^d = L / R_d^2$,
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$"KS" --> "LL"$, $"LL" -> "KS"$,
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$"Nullator" --> "Nullator"$, $"Norator" -> "Norator"$,
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$"Parallel" --> "Seriell"$,
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$"Seriell" --> "Parallel"$,
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@@ -447,20 +502,10 @@
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table.cell(colspan: 2)[
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*Dualwandlung: Steurende & Ausgangs Größe*
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$
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"VCVS": u_"out" = mu dot u_"in" &--> i_"out" R_d = mu dot i_"in" R_d \
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"VCCS": u_"out" = g dot i_"in" &--> \
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"CCVS": u_"out" = r dot i_"in" &--> \
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"CCCS": i_"out" = beta dot i_"in" &--> \
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$
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],
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table.cell(colspan: 2)[
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*Dualwandlung: Nur Ausgangs Größe*
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$
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"VCVS": u_"out" = mu dot u_"in" &--> \
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"VCCS": u_"out" = g dot i_"in" &--> \
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"CCVS": u_"out" = r dot i_"in" &--> \
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"CCCS": i_"out" = beta dot i_"in" &--> \
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"VCVS" &: u_"out" &= mu dot u_"in" &--> i_"out"^d = mu i_"in"^d\
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"VCCS" &: i_"out" &= g dot u_"in" &--> u_"out"^d = g R_d^2 dot i_"in"^d \
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"CCVS" &: u_"out" &= r dot i_"in" &--> i_"out"^d = r/R_d^2 dot u_"in"\
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"CCCS" &: i_"out" &= beta dot i_"in" &--> u_"out"^d = beta u_"in"^d\
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$
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],
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@@ -982,6 +1027,26 @@
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)
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],
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// KS/LL
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#bgBlock(fill: colorZweiTore)[
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#subHeading(fill: colorZweiTore)[Kurzschluss/Leerlauf Methode für Zweitore]
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1. Was sind die Input-Größen/Output-Größen? \
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$u"-gesteuert:" u = 0 &--> "Kurzschluss (KS)" \
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i"-gesteuert:" i = 0 &--> "Leerlauf (LL)"$ \
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2. Steuernde Größe 1 beschalten KS/LL \
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$-->$ BEIDE gesteuerten Größe errechen \
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(2. Spalte der Matrix)
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3. Steuernde Größe 2 beschalten KS/LL \
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$-->$ BEIDE gesteuerten Größe errechen \
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(1. Spalte der Matrix)
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4. Matrix/Gleichung aufstellen \
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Addition der Beschreibung pro gesteuerter Größe \
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(Superpositions Prinzip)
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]
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// Linearsierung (N-Tore)
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#bgBlock(fill: colorAnalyseVerfahren)[
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#subHeading(fill: colorAnalyseVerfahren)[Linearisierung (N-Tore)]
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@@ -1625,7 +1690,6 @@
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)
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)
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#table(
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columns: (1fr, 1fr),
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fill: (x, y) => if calc.rem(y, 2) == 0 { tableFillHigh } else { tableFillLow },
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@@ -2208,7 +2272,7 @@
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disource("S", (0.8,0), (0.8,1), fill: none, scale: 0.4)
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line((0.8,0.10), (0.8,0.09), mark: (end: ">", scale: 0.4, fill: black))
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content((0.9, 0.15), $i_"out" = g i_"in"$, anchor: "west")
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content((0.9, 0.15), $i_"out" = g u_"in"$, anchor: "west")
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})], [], [
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- NICHT Verlustlos
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@@ -2597,7 +2661,6 @@
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inset: (bottom: 4mm, top: 4mm),
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gutter: 0.1mm,
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fill: (x, y) => if x != 0 and calc.rem(x, 2) == 0 { rgb("#c5c5c5") } else { white },
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[],
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$bold(R) jVec(i) = jVec(u)$,
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$bold(G) jVec(u) = jVec(i)$,
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@@ -2605,5 +2668,19 @@
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$bold(H') vec(u_1, i_2) = vec(i_1, u_2)$,
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$bold(A) vec(u_2, -i_2) = vec(i_1, u_1)$,
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$bold(A') vec(u_1, -i_1) = vec(i_2, u_2)$,
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[],
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[Stromge-steuert],
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[Spannung-gesteuert],
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[Hybrid-beschreibung],
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[Inverse-Hybrid],
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[Ketten-Beschreibung],
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[Inverse-Ketten],
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[],
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$jVec(r)vec(i_1, i_2) = vec(u_1, u_2)$,
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$jVec(g)vec(u_1, u_2) = vec(i_1, i_2)$,
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$jVec(h) vec(i_1, u_2) = vec(u_1, i_2)$,
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$jVec(h') vec(u_1, i_2) = vec(i_1, u_2)$,
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$jVec(a) vec(u_2, -i_2) = vec(i_1, u_1)$,
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$jVec(a') vec(u_1, -i_1) = vec(i_2, u_2)$,
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)
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]
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