Name: current sources in mesh circuit analysis
Uploaded: 2024-04-11T12:48:30.000Z
Duration: 1 min 10 s
Channel: JoVE

Analiza siatki jest prostsza w obwodach ze źródłami prądu, ponieważ wymagają one mniejszej liczby równań do analizy.
Rozważmy obwód z dwiema siatkami ze źródłem prądu tylko w jednej siatce.
Prądy siatki są przypisywane, a gałąź zawierająca bieżące źródło jest wykluczana z analizy siatki.
Prawo napięcia Kirchhoffa jest stosowane do pozostałej siatki w celu uzyskania równania liniowego.
Ponieważ prąd w drugiej siatce ma taką samą wielkość, ale jest przeciwny w kierunku do prądu źródłowego, uproszczone równanie pozwala na określenie prądu w pierwszej siatce.
Rozważmy teraz inny obwód ze źródłem prądu między obiema siatkami.
Większa supersiatka tworzona jest poprzez wykluczenie źródła prądu i elementów połączonych z nim szeregowo.
Ponownie, zastosowanie prawa napięcia Kirchhoffa do supersiatki daje równanie liniowe.
Dodatkowo, obecne prawo Kirchhoffa jest stosowane do węzła, w którym gałąź ze źródłem prądu jest połączona, co daje kolejne równanie liniowe, które łączy dwa prądy gałęzi.
Rozwiązania równań symultanicznych dostarczają wartości prądów siatki.

mesh analysis with current sources

Metoda prądów oczkowych staje się prostsza podczas analizy obwodów ze źródłami prądu, niezależnie od tego, czy są niezależne, czy zależne. Obecność źródeł prądu zmniejsza liczbę równań wymaganych do analizy. Ilustrują to dwa przypadki:

Źródło prądu w jednym oczku: proces analizy jest prosty, gdy źródło prądu znajduje się tylko w jednej siatce w obwodzie. Prądy oczka są przypisywane w zwykły sposób, przy czym oczko zawierające źródło prądu jest wyłączone z analizy. Napięciowe prawo Kirchhoffa (KVL, z ang. Kirchhoff's Voltage Law) jest stosowane do pozostałych oczek, co skutkuje równaniem liniowym Ponieważ prąd w oczku ze źródłem jest równy pod względem wielkości, ale przeciwny w kierunku, pozwala to na łatwe określenie prądu w pierwszym oczku.

Źródło prądu pomiędzy dwoma oczkami: w przypadkach, gdy źródło prądu znajduje się między dwoma oczkami, analizę można uprościć, tworząc supersiatkę. Wiąże się to z wykluczeniem źródła prądu i wszelkich elementów połączonych z nim szeregowo. Zastosowanie KVL do supersiatki daje równanie liniowe. Dodatkowo, prądowe prawo Kirchhoffa (KCL, z ang. Kirchhoff's Current Law) jest stosowane do węzła, w którym gałąź z bieżącym źródłem jest połączona, zapewniając kolejne równanie liniowe łączące dwa prądy gałęzi. Rozwiązanie tych równań zapewnia wartości prądów oczkowych.

Najważniejsze właściwości supersiatki obejmują:

<ul style="list-style-type: disc; margin-left: 35px;">
	<li>Źródło prądu w supersiatce narzuca równanie ograniczeń niezbędne do rozwiązania prądów siatki.</li>
	<li>Supersiatka nie ma własnego prądu; obejmuje prądy z poszczególnych siatek, które obejmuje.</li>
	<li>KVL i KCL są stosowane do supersiatki tak jak do każdej innej siatki.</li>
</ul>

Mesh Analysis with Current Sources

Analiza siatki jest prostsza w obwodach ze źródłami prądu, ponieważ wymagają one mniejszej liczby równań do analizy.
Rozważ obwód z dwiema siatkami z prądem ...

Education

JoVE Core

Electrical Engineering

Elektrotechnika

Unit 1

Jednostka 1

DC Circuit Analysis

Analiza obwodów prądu stałego

KEY TERMS AND CONCEPTS

KLUCZOWE TERMINY I POJĘCIA

current sources in mesh circuit analysis

Current sources make mesh circuit analysis easier because they can reduce the number of equations needed. This applies to both independent and dependent current sources. The method depends on where the current source is placed in the circuit.

When a current source appears in only one mesh, the setup is simple. Assign mesh currents as usual, but leave out the mesh that contains the current source from the equation process. Then apply Kirchhoff's voltage law, or KVL, to the remaining mesh to get a linear equation. The current in the mesh with the source is equal in magnitude but opposite in direction, so the first mesh current is easy to find.

A different case happens when a current source lies between two meshes. Here, the circuit can be handled with a supermesh, which is formed by excluding the current source and any elements in series with it. KVL is applied around the supermesh to create a linear equation. Then Kirchhoff's current law, or KCL, is used at a node connected to the current-source branch to link the two branch currents.

The current source inside a supermesh adds a needed constraint equation for solving the mesh currents. A supermesh has no current of its own. It combines the currents from the meshes it encloses. KVL and KCL are still applied to the supermesh like they are in any other mesh.

Current Sources in Mesh Circuit Analysis

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Current sources make mesh circuit analysis easier because they can reduce the number of equations needed. This applies to both independent and dependent current sources. The method depends on where the current source is placed in the circuit. When a current source appears in only one mesh, the setup is simple. Assign mesh currents as usual, but leave out the mesh that contains the current source from the equation process. Then apply Kirchhoff's voltage law, or KVL, to the remaining mesh to get...

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key terms and concepts

Learn how current sources simplify mesh circuit analysis, including one-mesh cases and supermeshes, using KVL and KCL to solve for mesh currents.

Current Sources in Mesh Circuit Analysis | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

electrical engineering

Current Sources in Mesh Circuit Analysis

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