Name: how inductor current stores magnetic energy
Uploaded: 2024-04-11T12:48:39.000Z
Duration: 1 min 16 s
Channel: JoVE

K12 Standards

Texas Essential Knowledge and Skills

High School

Chemistry and Physics

IPC.6

IPC.6.A

Energy Stored in Inductors

Eine Induktivität ist so konzipiert, dass sie Energie in ihrem Magnetfeld speichert, das durch den durch ihre Spulen fließenden Strom erzeugt wird.
Wenn der Strom konstant ist, ist die Spannung an der Induktivität Null, wodurch sie sich wie ein Kurzschluss für Gleichstrom verhält.
Die in einer Induktivität gespeicherte Energie entspricht dem Integral der momentanen Leistung, die über die Zeit abgegeben wird.
Durch die Integration innerhalb der Grenzen erhält man einen Ausdruck für die gespeicherte Energie, der aus zwei Termen besteht. Der zweite Term ist Null, wenn man den Anfangszustand berücksichtigt, in dem kein Strom durch die Induktivität floss.
Ideale Induktivitäten leiten keine Energie ab, so dass die gespeicherte Energie später abgerufen werden kann.
Nicht-ideale Induktivitäten weisen jedoch einen Wicklungswiderstand auf, der von den Spulen des Leiters ausgeht und in Reihe mit der Induktivität dargestellt wird.
Dieser Wicklungswiderstand kann zwar zu Energieverlusten führen, ist aber in der Regel so gering, dass er in der Praxis vernachlässigt werden kann.
Nicht-ideale Induktivitäten weisen auch eine Wicklungskapazität auf, die auf die kapazitive Kopplung zwischen den leitenden Spulen zurückzuführen ist. Diese Wicklungskapazität ist jedoch in der Regel vernachlässigbar, außer bei hohen Frequenzen.

in induktoren gespeicherte energie

Ein Induktor ist so konstruiert, dass er Energie in seinem Magnetfeld speichert. Dieses Feld ist eine direkte Folge des Stroms, der durch seine gewickelte Struktur fließt. Wenn dieser Strom einen stabilen Zustand beibehält, ist an der Induktivität keine Spannung erkennbar, was dazu führt, dass sie bei Gleichstrom das Verhalten eines Kurzschlusses nachahmt. Was die Messung der in einem Induktor gespeicherten Energie angeht, entspricht sie dem Integral der zu jedem einzelnen Zeitpunkt abgegebenen Leistung, kumuliert über einen bestimmten Zeitraum. Mathematisch wird die in einem Induktor gespeicherte Energie ausgedrückt als: <img alt="Equation1" src="/files/ftp_upload/15089/15089_PT_Equation_1.svg" style="text-align: center; height: 34px;"> Dabei ist w die im Induktor gespeicherte Energie, L die Induktivität und i der durch den Induktor fließende Strom. Ideale Induktoren haben eine bemerkenswerte Eigenschaft: Sie verbrauchen keine Energie. Diese Eigenschaft ermöglicht es, die in ihnen gespeicherte Energie zu einem späteren Zeitpunkt zu nutzen. Dieses ideale Szenario wird jedoch etwas beeinträchtigt, wenn es um nicht ideale Induktoren geht. Nichtideale Induktoren weisen ein Phänomen auf, das als Wicklungswiderstand bekannt ist. Dieser Widerstand stammt von den Spulen des Leiters und liegt in Reihe mit der Induktivität. Obwohl dieser Wicklungswiderstand möglicherweise zur Energiedissipation beiträgt, ist er typischerweise so winzig, dass er in praktischen Anwendungen leicht übersehen werden kann. Darüber hinaus weisen nichtideale Induktivitäten auch eine Wicklungskapazität auf. Dies ist auf die kapazitive Kopplung zurückzuführen, die zwischen den leitenden Spulen auftritt. Diese Wicklungskapazität ist jedoch normalerweise so gering, dass sie außer bei hohen Frequenzen vernachlässigt werden kann.

In Induktoren gespeicherte Energie

Eine Induktivität ist so konzipiert, dass sie Energie in ihrem Magnetfeld speichert, das durch den durch ihre Spulen fließenden Strom erzeugt wird.
Wenn der Strom konstant ist, ...

Education

Lehre

JoVE Core

Electrical Engineering

Elektrotechnik

Unit 1

Einheit 1

Energy Storage Elements

Energiespeicherelemente

KEY TERMS AND CONCEPTS

WICHTIGE BEGRIFFE UND KONZEPTE

how inductor current stores magnetic energy

An inductor stores energy in its magnetic field. That field is created by the current flowing through the coil. When the current stays steady, there is no measurable voltage across the inductor, so it behaves like a short circuit for direct current.

The energy stored in an inductor is the total power delivered over time. It can be written as a function of inductance, L, and current, i, where the stored energy increases with the current in the coil. This relationship helps explain how much energy is held in the magnetic field at any moment.

Ideal inductors do not lose energy, so the stored energy can be used later. Real inductors are not perfect, though. They may have winding resistance, which comes from the conductor coils and appears in series with the inductance. This resistance can cause some energy loss, but it is usually so small that it can be ignored in practice.

Non-ideal inductors can also have winding capacitance. This comes from capacitive coupling between the conducting coils. In most cases, this effect is very small as well, but it can matter at high frequencies.

How Inductor Current Stores Magnetic Energy

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How Inductor Current Stores Magnetic Energy

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