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

El análisis de malla es más simple en circuitos con fuentes de corriente porque requieren menos ecuaciones para el análisis.
Considere un circuito de dos mallas con una fuente de corriente en una sola malla.
Se asignan las corrientes de malla y la rama que contiene la fuente actual se excluye del análisis de malla.
La ley de voltaje de Kirchhoff se aplica a la malla restante para obtener una ecuación lineal.
Como la corriente en la segunda malla es igual en magnitud pero opuesta en dirección a la corriente de la fuente, la ecuación simplificada permite determinar la corriente en la primera malla.
Ahora, considere otro circuito con una fuente de corriente entre ambas mallas.
Se crea una supermalla más grande excluyendo la fuente actual y los elementos conectados en serie con ella.
Una vez más, la aplicación de la ley de voltaje de Kirchhoff a la supermalla da como resultado una ecuación lineal.
Además, la ley de corriente de Kirchhoff se aplica a un nodo donde la rama con la fuente de corriente está conectada, lo que produce otra ecuación lineal que vincula las dos corrientes de rama.
Las soluciones de las ecuaciones simultáneas proporcionan los valores de las corrientes de malla.

análisis de malla con fuentes de corriente

El análisis de malla se simplifica al estudiar circuitos que contienen fuentes de corriente, tanto independientes como dependientes. La presencia de estas fuentes reduce la cantidad de ecuaciones necesarias para el análisis. Esto se puede ilustrar con dos casos:
Fuente de corriente en una malla: El análisis es más sencillo cuando una fuente de corriente está presente en una única malla del circuito. Se asignan las corrientes de malla como de costumbre, excluyendo del análisis la malla que contiene la fuente. La ley de voltajes de Kirchhoff (LVK) se aplica a la malla restante, obteniendo así una ecuación lineal. Dado que la corriente en la malla con la fuente tiene la misma magnitud pero dirección opuesta, es posible determinar fácilmente la corriente en la primera malla.
Fuente de Corriente Entre Dos Mallas: En los casos en que una fuente de corriente se encuentra entre dos mallas, el análisis se puede simplificar creando una supermalla. Esto implica excluir la fuente de corriente y cualquier elemento conectado en serie con ella. La aplicación de la LTK a la supermalla produce una ecuación lineal. Además, la ley de corrientes de Kirchhoff (LKC) se aplica a un nodo donde se conecta la rama con la fuente de corriente, lo que proporciona otra ecuación lineal que vincula las dos corrientes de rama. La resolución de estas ecuaciones proporciona los valores de las corrientes de malla.
Las propiedades clave de una supermalla incluyen:
<ul style="padding-left: 35px; list-style-type: disc;">
	<li>La fuente de corriente dentro de la supermalla impone una ecuación de restricción necesaria para resolver las corrientes de malla.</li>
	<li>Una supermalla no tiene corriente propia; abarca las corrientes de las mallas individuales que encierra.</li>
	<li>La LKC y la LKC se aplican a una supermalla como a cualquier otra malla.</li>
</ul>

Análisis de Malla con Fuentes de Corriente

El análisis de malla es más simple en circuitos con fuentes de corriente porque requieren menos ecuaciones para el análisis.
Considere un circuito de dos mallas con un ...

Education

Educación

JoVE Core

Electrical Engineering

Ingeniería Eléctrica

Unit 1

Unidad 1

DC Circuit Analysis

Análisis de circuitos de CC

KEY TERMS AND CONCEPTS

TÉRMINOS Y CONCEPTOS CLAVE

Mesh Analysis with Current Sources

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

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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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