Name: norton current in ac circuit analysis
Uploaded: 2024-04-11T12:48:50.000Z
Duration: 1 min 16 s
Channel: JoVE

Der Satz von Norton besagt, dass jedes lineare Netzwerk mit zwei Anschlüssen durch eine Ersatzschaltung ersetzt werden kann, die aus einer Konstantstromquelle besteht, die parallel zu einer Impedanz ist.
Um den Wert der parallelen Impedanz zu bestimmen, wird die Quelle durch ihre interne Impedanz ersetzt. Die äquivalente Impedanz dieser resultierenden Schaltung ist die Norton-Impedanz, die der Thévenin-Impedanz entspricht.
Um den Norton-Strom zu bestimmen, platzieren Sie die Quellen wieder im Stromkreis und analysieren Sie die Leerlaufspannung, d. h. die Thévenin-Spannung.
Die Thévenin-Spannung wird durch das Produkt aus dem Quellstrom und der Thevenin-Impedanz bestimmt.
Die gleiche Spannung wird über die Lastimpedanz abgenommen, wenn sie in einer parallelen Konfiguration angeordnet wird.
Erinnern Sie sich an die Beziehung zwischen Norton-Strom, Thévenin-Spannung und Thévenin-Impedanz. Durch das Ersetzen der Werte ermöglicht es die Bestimmung des Norton-Stroms.
Das Norton-Theorem ist nützlich für die Analyse und den Entwurf von Systemen mit komplexen Wechselstromkreisen.
Durch die Bestimmung der Norton-Ersatzschaltung für jede Stufe oder jeden Abschnitt der komplexen Schaltung kann die Analyse des Gesamtsystems vereinfacht werden.

norton-Äquivalentschaltungen

Der Satz von Norton ist ein grundlegendes Konzept auf dem Gebiet der Elektrotechnik, das die Vereinfachung komplexer Wechselstromkreise ermöglicht. Der Satz besagt, dass jedes lineare Netzwerk mit zwei Anschlüssen durch eine äquivalente Schaltung ersetzt werden kann, die aus einer Impedanz besteht, die parallel zu einer Konstantstromquelle geschaltet ist. Figure 1 zeigt den Wechselstromkreis, aufgeteilt in zwei Teile: Stromkreis A und Stromkreis B, während Figure 2 den Stromkreis zeigt, der durch Ersetzen von Stromkreis A durch seinen Norton-Äquivalentstromkreis entsteht. <img alt="Figure1" src="/files/ftp_upload/15114/15114_PT_Figure_1.svg" style="text-align: center; height: 160px;"> Figure 1: Eine in zwei Teile geteilte Schaltung. <img alt="Figure2" src="/files/ftp_upload/15114/15114_PT_Figure_2.svg" style="text-align: center; height: 160px;"> Figure 2: Norton-Äquivalenzschaltung Um den Wert der Parallelimpedanz zu berechnen, muss man die Quelle durch ihre interne Impedanz ersetzen, was zu einem Stromkreis mit einer äquivalenten Impedanz führt, die als Norton-Impedanz bekannt ist. Die Norton-Impedanz ist dieselbe wie die Thévenin-Impedanz und wird zur Bestimmung des Norton-Stroms verwendet, bei dem es sich um den Strom handelt, der durch den Stromkreis fließt. Um den Norton-Strom zu bestimmen, müssen die Quellen wieder in den Stromkreis eingebaut und die Leerlaufspannung, auch Thévenin-Spannung genannt, analysiert werden. Der Wert der Thévenin-Spannung wird durch Multiplikation des Quellenstroms mit der Thevenin-Impedanz bestimmt und wird verwendet, um die gleiche Spannung an der Lastimpedanz abfallen zu lassen, wenn diese in einer Parallelkonfiguration angeordnet ist. Durch die Verwendung der Beziehung zwischen dem Norton-Strom, der Thévenin-Spannung und den Norton-Stromwerten kann man den Norton-Strom des Stromkreises bestimmen. Diese Beziehung macht den Satz von Norton für die Analyse und den Entwurf von Systemen mit komplexen Wechselstromkreisen nützlich, da er deren Analyse vereinfacht, indem er den Stromkreis in kleinere, besser handhabbare Abschnitte aufteilt.

Norton-Äquivalentschaltungen

Der Satz von Norton besagt, dass jedes lineare Netzwerk mit zwei Anschlüssen durch eine Ersatzschaltung ersetzt werden kann, die aus einer Konstantstromquelle in ...

Education

Lehre

JoVE Core

Electrical Engineering

Elektrotechnik

Unit 1

Einheit 1

AC Circuit Analysis

Analyse von Wechselstromschaltungen

KEY TERMS AND CONCEPTS

ZENTRALE BEGRIFFE UND KONZEPTE

Norton Equivalent Circuits

norton current in ac circuit analysis

Norton’s theorem helps simplify complex AC circuits by replacing a two-terminal linear network with a smaller equivalent circuit. That equivalent circuit uses an impedance in parallel with a constant current source. The method lets students break one complicated circuit into two parts and analyze them more easily.

To build the Norton equivalent, the source is replaced by its internal impedance. The result is the Norton impedance, which is the same as the Thévenin impedance. This parallel impedance is the key value used in the equivalent circuit.

Finding the Norton current takes one more step. The sources are placed back into the circuit, and the open-circuit voltage is analyzed. That voltage is also called the Thévenin voltage, and it can be found by multiplying the source current by the Thévenin impedance.

The Thévenin voltage helps show the same voltage drop across the load impedance when the load is arranged in parallel. Using the relationship between the Norton current, the Thévenin voltage, and the Norton impedance makes it possible to determine the circuit current. This makes Norton’s theorem useful for analyzing and designing systems with complex AC circuits because it turns a hard problem into smaller, more manageable parts.

Norton Current in AC Circuit Analysis

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Learn how Norton’s theorem simplifies complex AC circuits with a parallel current source and impedance, and how Norton current is determined from Thévenin values.

Norton Current in AC 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

Norton Current in AC Circuit Analysis

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