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

Twierdzenie Nortona mówi, że każda dwuzaciskowa sieć liniowa może być zastąpiona równoważnym obwodem składającym się ze źródła prądu stałego równolegle o impedancji.
Aby określić wartość impedancji równoległej, źródło zastępuje się jego impedancją wewnętrzną. Impedancja równoważna tego obwodu wynikowego to impedancja Nortona, która jest taka sama jak impedancja Thévenin.
Aby określić prąd Nortona, ponownie umieść źródła w obwodzie i przeanalizuj napięcie obwodu otwartego, które jest napięciem Thévenin.
Napięcie Thévenin jest określane przez iloczyn prądu źródła i impedancji Thevenin.
To samo napięcie jest obniżane na impedancji obciążenia, gdy jest ono umieszczone w konfiguracji równoległej.
Przypomnij sobie związek między prądem Norton, napięciem Thévenin i impedancją Thévenin. Podmieniając wartości, pozwala na określenie prądu Norton.
Twierdzenie Nortona jest korzystne do analizy i projektowania systemów zawierających złożone obwody prądu przemiennego.
Określając obwód równoważny Norton dla każdego etapu lub sekcji złożonego obwodu, można uprościć analizę całego systemu.

obwody równoważne nortona

Twierdzenie Nortona jest podstawową koncepcją w dziedzinie elektrotechniki, która pozwala na uproszczenie złożonych obwodów prądu przemiennego. Twierdzenie stwierdza, że dowolną sieć liniową z dwoma zaciskami można zastąpić obwodem zastępczym składającym się z impedancji równoległej do źródła prądu stałego. Figure 1 przedstawia obwód prądu przemiennego podzielony na dwie części: obwód A i obwód B, natomiast Figure 2 przedstawia obwód uzyskany przez zastąpienie obwodu A jego równoważnym obwodem Nortona.

<img alt="Figure1" src="/files/ftp_upload/15114/15114_PT_Figure_1.svg" style="text-align: center; height: 160px;" />

Figure 1: Obwód podzielony na dwie części

<img alt="Figure2" src="/files/ftp_upload/15114/15114_PT_Figure_2.svg" style="text-align: center; height: 160px;" />

Figure 2: Obwód równoważny Nortona

Aby obliczyć wartość impedancji równoległej, należy zastąpić źródło jej impedancją wewnętrzną, uzyskując obwód o równoważnej impedancji znanej jako impedancja Nortona. Impedancja Nortona jest taka sama jak impedancja Thévenina i służy do określenia prądu Nortona, czyli prądu płynącego przez obwód.

Określenie prądu Nortona wymaga ponownego podłączenia źródeł do obwodu i przeanalizowania napięcia w obwodzie otwartym, znanego również jako napięcie Thévenina. Wartość napięcia Thévenina wyznacza się poprzez pomnożenie prądu źródła przez impedancję Thevenina i służy do obniżenia tego samego napięcia na impedancji obciążenia, gdy jest ono umieszczone w konfiguracji równoległej.

Korzystając z zależności między prądem Nortona, napięciem Thévenina i wartościami prądu Nortona, można określić prąd Nortona w obwodzie. Ta zależność sprawia, że twierdzenie Nortona jest przydatne przy analizowaniu i projektowaniu systemów zawierających złożone obwody prądu przemiennego, ponieważ upraszcza ich analizę, dzieląc obwód na mniejsze, łatwiejsze w zarządzaniu sekcje.

Obwody równoważne Nortona

Twierdzenie Nortona mówi, że dowolną dwuzaciskową sieć liniową można zastąpić równoważnym obwodem składającym się ze źródła prądu stałego w ...

Education

JoVE Core

Electrical Engineering

Elektrotechnika

Unit 1

Jednostka 1

AC Circuit Analysis

Analiza obwodów prądu przemiennego

KEY TERMS AND CONCEPTS

Kluczowe terminy i pojęcia

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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norton equivalent circuits

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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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