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

ノートンの定理は、任意の2端子線形ネットワークは、インピーダンスと並列の定電流源からなる等価回路に置き換えることができると述べています。
並列インピーダンスの値を決定するために、ソースをその内部インピーダンスに置き換えます。この結果として得られる回路の等価インピーダンスはノートンインピーダンスであり、これはテブナンインピーダンスと同じです。
ノートン電流を決定するには、ソースを回路に再度配置し、開回路電圧(テブナン電圧)を分析します。
テブナン電圧は、ソース電流とテブナンインピーダンスの積によって決まります。
並列構成に配置されると、負荷インピーダンスの両端に同じ電圧が降下します。
ノートン電流、テブナン電圧、テブナンインピーダンスの関係を思い出してください。値を代入することにより、ノートン電流の決定が可能になります。
ノートンの定理は、複雑なAC回路を含むシステムの解析と設計に役立ちます。
複素回路の各ステージまたはセクションのノートン等価回路を決定することにより、システム全体の解析を簡素化できます。

ノートンの等価回路

ノートンの定理は、複雑な AC 回路の簡素化を可能にする電気工学分野の基本的な概念です。 この定理は、任意の 2 端子線形ネットワークを、定電流源と並列のインピーダンスで構成される等価回路に置き換えることができることを示しています。 Figure は、回路 A と回路 B の 2 つの部分に分割された AC 回路を示しています。一方、図 2 は、回路 A を Norton の等価回路で置き換えた回路を示しています。

<img alt="Figure1" src="/files/ftp_upload/15114/15114_PT_Figure_1.svg" style="text-align: center; height: 160px;">
Figure 1: 2 つの部分に分割された回路

<img alt="Figure2" src="/files/ftp_upload/15114/15114_PT_Figure_2.svg" style="text-align: center; height: 160px;">
 図 2: Norton の等価回路

並列インピーダンスの値を計算するには、ソースをその内部インピーダンスに置き換える必要があり、その結果、ノートン インピーダンスとして知られる等価インピーダンスを持つ回路が得られます。 ノートン インピーダンスはテブナン インピーダンスと同じで、回路を流れる電流であるノートン電流を決定するために使用されます。

ノートン電流を特定するには、ソースを回路に戻し、テブナン電圧としても知られる開回路電圧を分析する必要があります。 テブナン電圧の値は、ソース電流にテブナン インピーダンスを乗算することによって決定され、並列構成に配置された場合に負荷インピーダンスの両端に同じ電圧を降下させるために使用されます。

ノートン電流、テブナン電圧、およびノートン電流値の関係を使用することにより、回路のノートン電流を決定できます。 この関係により、ノートンの定理は、回路をより小さく管理しやすいセクションに分割することで解析を簡素化するため、複雑な AC 回路を含むシステムの解析と設計に有益になります。

ノートンの定理は、任意の2端子線形ネットワークを、定電流源からなる等価回路に置き換えることができると述べています...

Education

JoVE Core

Electrical Engineering

電気工学

Unit 1

ユニット1

AC Circuit Analysis

交流回路解析

KEY TERMS AND CONCEPTS

主要用語と概念

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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Phasors for AC Circuit Analysis

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Phasor Rules for AC Circuit Analysis

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AC Circuit Phasors: Resistor, Inductor, Capacitor

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AC Circuit Rules with Phasor Diagrams

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AC Circuit Response: Impedance and Admittance

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Series and Parallel Impedance Rules

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Impedance Matching with Mesh Currents

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AC Source Conversion in Circuit Analysis

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norton equivalent circuits

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...

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Analyzing an Op Amp Audio Filter

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key terms and concepts

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 電気工学 は、電気回路の基本概念と回路解析テクニックを網羅したアニメーションビデオシリーズです。オペアンプと回路変換および 1 次・ 2 次回路の概念を網羅しています。実験を撮影した実写動画では、設計例や現代社会での応用が含まれており、複雑な概念も分かりやすく学習いただけます。

electrical engineering

Norton Current in AC Circuit Analysis

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