corrections matrix
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alexander
@@ -1760,6 +1760,7 @@
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- Quellenfrei
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- Ungepolt
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- Resitiv, Induktiv, Kapazitiv, Memristiv
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- Passiv
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],
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// Norator
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@@ -1799,6 +1800,7 @@
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- Quellenfrei
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- Ungepolt
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- Resitiv, Induktiv, Kapazitiv, Memristiv
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- Aktiv
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],
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table.hline(),
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@@ -1837,6 +1839,7 @@
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],
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align(left+top)[
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- Verlustlos
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- Passiv
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- Streng linear
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- Linear
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- Quellenfrei
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@@ -1877,6 +1880,7 @@
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],
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align(left+top)[
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- Verlustlos
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- Passiv
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- Streng linear
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- Linear
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- Quellenfrei
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@@ -2281,13 +2285,38 @@
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})],
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[
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- Verlustlos
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- Reziprok
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- Passiv
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- Aktiv
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- Symetrisch
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], [$ A = mat(0, 0; 0, 0) $],
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[OpAmp \ $U_"sat+"$\ (4-polig)], opampSymbol, [], [], [],
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[OpAmp \ linear Bereich \ (4-polig)], opampSymbol, [#zap.circuit({
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import zap: *
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import cetz.draw: content, line, rect
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joham.nullator("a", (0,0), (0,1.5), scale: 0.5)
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joham.norator("b", (0.5,0), (0.5,1.5), scale: 0.5)
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wire("a.in", (rel: (-0.5, 0)))
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wire("a.out", (rel: (-0.5, 0)))
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wire("b.in", (rel: (0.5, 0)))
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wire("b.out", (rel: (0.5, 0)))
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node("N1", (rel: (-0.5, 0), to: "a.in"), fill: false, label: (content: text($beta$, fill: rgb("#8b2000")), anchor: "west", distance: 0.05))
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node("N2", (rel: (-0.5, 0), to: "a.out"), fill: false, label: (content: text($alpha$, fill: rgb("#8b2000")), anchor: "west", distance: 0.05))
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node("N3", (rel: (0.5, 0), to: "b.in"), fill: false, label: (content: text($delta$, fill: rgb("#00318b")), anchor: "east", distance: 0.05))
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node("N4", (rel: (0.5, 0), to: "b.out"), fill: false, label: (content: text($gamma$, fill: rgb("#00318b")), anchor: "east", distance: 0.05))
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joham.voltage("N2", "N1", $u_d$)
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joham.voltage("N4", "N3", $U_"out" = "bel."$, anchor: "west")
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})], [
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- Reziprok
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- Aktiv
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- Symetrisch
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], [
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Für $u_d = 0 <=> abs(u_"out") < U_"sat"$ \
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],
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[OpAmp \ $U_"sat+"$], opampSymbol, [#zap.circuit({
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import zap : wire, vsource, node
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@@ -2309,7 +2338,7 @@
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node("c", (1.3,1), fill: false, label: (content: text($gamma$, fill: rgb("#00318b")), anchor: "east", distance: 0.05))
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node("d", (1.3,0), fill: false, label: (content: text($delta$, fill: rgb("#00318b")), anchor: "east", distance: 0.05))
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})], [], [],
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})], [], [Für $u_d > 0$],
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[OpAmp \ $U_"sat-"$], opampSymbol, [#zap.circuit({
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import zap : wire, vsource, node
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@@ -2330,7 +2359,7 @@
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wire((1,1), (1.3,1))
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wire((1,0), (1.3,0))
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})], [], [],
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})], [], [Für $u_d < 0$],
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[VCVS], [#zap.circuit({
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import zap : vsource, node, disource, dvsource, wire
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@@ -2591,12 +2620,17 @@
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fill: (x, y) => if calc.rem(y, 2) == 1 { rgb("#c5c5c5") } else { white },
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table.header([], [*Ein-Tor*], [*Zwei-Tor*], [*Reaktive Elemente*]),
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[*passiv*\ (nimmt Energie auf)\ $not$aktiv],
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[$forall (u,i) in cal(F): u dot i >= 0$],
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[*passiv*\ (nimmt Energie auf)\ $<=> not$aktiv],
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[$forall (u,i) in cal(F): u dot i >= 0$
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Verlustlos $=>$ Passiv
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],
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[
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$jMat(U)^T jMat(I) + jMat(I)^T jMat(U) = 0$\
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$jMat(U)^T jMat(I) + jMat(I)^T jMat(U) >= 0$\
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$forall vec(jVec(u), jVec(v)) in cal(F) : jVec(u)^T jVec(i) >=0 \
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jMat(G) = - jMat(G)^T quad jMat(R) = - jMat(R)^T$
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jMat(G) = - jMat(G)^T quad jMat(R) = - jMat(R)^T$ \
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Verlustlos $=>$ Passiv
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],
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[],
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@@ -2606,7 +2640,10 @@
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Kennline nur $u\/i$-Achsen
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],
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[$forall vec(jVec(u), jVec(v)) in cal(F) : jVec(u)^T jVec(i) = 0$],
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[$
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jMat(U)^T jMat(I) + jMat(I)^T jMat(U) = 0 \
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forall vec(jVec(u), jVec(v)) in cal(F) : jVec(u)^T jVec(i) = 0 \
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$],
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grid(columns: (auto, auto),
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column-gutter: 5mm,
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[
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@@ -2697,8 +2734,8 @@
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$bold(G) quad mat(S, S; S, S)$,
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$bold(H) quad mat(Omega, 1; 1, S)$,
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$bold(H') quad mat(S, 1; 1, Omega)$,
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$bold(A) quad mat(S, 1; 1, Omega)$,
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$bold(A') quad mat(S, 1; 1, Omega)$,
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$bold(A) quad mat(1, Omega; S, 1)$,
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$bold(A') quad mat(1, Omega; S, 1)$,
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$bold(R)$,
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$mat(r_11, r_12; r_21, r_22)$,
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@@ -2760,8 +2797,8 @@
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$bold(G) jVec(u) = jVec(i)$,
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$bold(H) vec(i_1, u_2) = vec(u_1, i_2)$,
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$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)$,
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$bold(A) vec(u_2, -i_2) = vec(u_1, i_1)$,
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$bold(A') vec(u_1, -i_1) = vec(u_2, i_2)$,
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[],
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[Stromge-steuert],
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[Spannung-gesteuert],
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@@ -2774,8 +2811,8 @@
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$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)$,
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$jVec(a) vec(u_2, -i_2) = vec(u_1, i_1)$,
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$jVec(a') vec(u_1, -i_1) = vec(u_2, i_2)$,
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)
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]
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