Name: parallel rlc tuning at resonance
Uploaded: 2024-07-08T13:20:02.000Z
Duration: 1 min 23 s
Channel: JoVE

Toplu olarak devrenin giriş kabulüne katkıda bulunan bir direnç, kapasitör ve indüktörün paralel bağlantısını içeren bir radyo alıcısı düşünün.
Rezonansta, kabulün hayali kısmı sıfırdır, bu da rezonans frekansının endüktans ve kapasitans ürününün karekökü ile ters orantılı olarak değişmesine neden olur.
Rezonans frekansında, indüktör ve kondansatörün paralel kombinasyonu açık devre görevi görür. Sonuç olarak, direnç minimum akım çeker ve indüktörün manyetik alanı ile kapasitörün elektrik alanı arasında enerji salınır.
Frekans yanıtı, akım büyüklüğünün başlangıçta azaldığını, rezonans frekansında minimuma ulaştığını ve frekans arttıkça arttığını gösterir.
Yarı güç frekanslarında akım, minimum akımın 1.4142 katıdır.
Bant genişliği, daha yüksek ve daha düşük yarı güç frekansları arasındaki fark belirlenerek hesaplanır.
Rezonans eğrisinin keskinliğini gösteren kalite faktörü, reaktanslar cinsinden ifade edilebilir.
Daha yüksek bir kalite faktörü, rezonans frekansı etrafında simetrik olarak dağıtılan yarı güç frekansları ve daha dar bir bant genişliği sağlar.

frekans tepkisi

Paralel RLC devresi, direncin (R), indüktörün (L) ve kapasitörün (C) hepsinin aynı düğümlere bağlandığı ve sonuç olarak bunlar arasında aynı voltajı paylaştığı bir düzenlemedir. Paralel RLC devresi, akımın akma kolaylığını yansıtan giriş (Y) açısından analiz edilir. Kabul şu şekilde verilir:

<img alt="Equation 1" src="/files/ftp_upload/15145/15145_Equation_1.svg" style="height: 30px;">

Paralel bir RLC devresinde rezonans, net reaktans sıfır olduğunda meydana gelir; bu, kapasitif ve endüktif etkilerin birbirini iptal ettiği anlamına gelir. Bu koşul şu durumlarda elde edilir:

<img alt="Equation 2" src="/files/ftp_upload/15145/15145_Equation_2.svg" style="height: 30px;">

Rezonans frekansının çözümü şunları sağlar:

<img alt="Equation 3" src="/files/ftp_upload/15145/15145_Equation_3.svg" style="height: 34px;">

Bu rezonans frekansı, devrenin tamamen dirençli davranış sergileyeceği ve dirençten geçen akımın maksimumda olacağı yerdir. Devrede harcanan güç, maksimum akım akışı nedeniyle rezonansta maksimumdur. Yarı güç noktası frekanslarında akım, maksimum akımın yaklaşık 0,707'sidir ve bu da maksimum güç kaybının yarısına yol açar. Paralel RLC devresinin bant genişliği, bu yarı güç frekansları arasındaki farktır ve aşağıdakiler kullanılarak bulunur:

<img alt="Equation 4" src="/files/ftp_upload/15145/15145_Equation_4.svg" style="height: 30px;">


Kalite faktörü (Q), rezonans frekansını bant genişliğiyle karşılaştıran, rezonans zirvesinin seçiciliğini veya keskinliğini gösteren boyutsuz bir parametredir. Q≥10 olan yüksek kaliteli devrelerde, yarı güç frekansları aşağıdakiler kullanılarak yaklaşık olarak hesaplanabilir:

<img alt="Equation 5" src="/files/ftp_upload/15145/15145_Equation_5.svg" style="height: 30px;">

<img alt="Equation 6" src="/files/ftp_upload/15145/15145_Equation_6.svg" style="height: 30px;">

Daha yüksek bir Q faktörü, devrenin son derece seçici olduğunu ve rezonans frekansı etrafındaki dar bir frekans aralığında güçlü bir şekilde rezonansa girdiğini gösterir. Bu durum özellikle radyo iletişiminde faydalı olup istenmeyen frekansların filtrelenmesine ve parazitlerin en aza indirilmesine olanak sağlar. Paralel rezonans devreleri, bant durdurma veya çentik filtreleri gibi davranan, belirli bir frekans aralığını bloke ederken diğerlerinin geçmesine izin veren filtreleme uygulamalarında özellikle kullanışlıdır. Bu onları istenmeyen frekansları veya gürültüyü ortadan kaldırmak için sinyal işlemede değerli kılar.

Frekans Tepkisi

Toplu olarak devrenin çalışmasına katkıda bulunan bir direnç, kapasitör ve indüktörün paralel bağlantısını içeren bir radyo alıcısı düşünün.

Education

JoVE Core

Electrical Engineering

Elektrik Mühendisliği

Unit 1

Ünite 1

Frequency Response

KEY TERMS AND CONCEPTS

TEMEL TERİMLER VE KAVRAMLAR

Parallel Resonance

parallel rlc tuning at resonance

A parallel RLC circuit uses a resistor, inductor, and capacitor connected to the same nodes. Because they share the same voltage, the circuit is analyzed with admittance, which describes how easily current can flow. In a parallel RLC circuit, admittance helps show how the circuit responds as the frequency changes.

Resonance happens when the net reactance is zero. At that point, the capacitive and inductive effects cancel each other out. The resonant frequency is found from this condition. At resonance, the circuit behaves as a purely resistive circuit, and the current through the resistor reaches its maximum.

Power dissipation is also greatest at resonance because the current is highest. The half-power point frequencies are the points where the current is about 0.707 of the maximum current. At those frequencies, the power dissipation is half of its maximum value. The bandwidth of the parallel RLC circuit is the difference between the two half-power frequencies.

The quality factor, or Q, compares the resonant frequency with the bandwidth. It shows how sharp or selective the resonance peak is. For high-quality circuits where Q is 10 or greater, the half-power frequencies can be approximated with a simpler method. A higher Q means the circuit responds strongly to a narrow range of frequencies around resonance.

This selective behavior is useful in radio communications. It can help filter unwanted frequencies and reduce interference. Parallel resonance circuits are also used as band-stop or notch filters. In these filters, a specific frequency range is blocked while other frequencies pass through, which is useful for removing unwanted signals or noise.

Parallel RLC Tuning at Resonance

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Series Resonance in RLC Circuits

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parallel resonance

A parallel RLC circuit uses a resistor, inductor, and capacitor connected to the same nodes. Because they share the same voltage, the circuit is analyzed with admittance, which describes how easily current can flow. In a parallel RLC circuit, admittance helps show how the circuit responds as the frequency changes. Resonance happens when the net reactance is zero. At that point, the capacitive and inductive effects cancel each other out. The resonant frequency is found from this condition. At...

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key terms and concepts

Explore how a parallel RLC circuit behaves at resonance, including admittance, bandwidth, Q factor, and its use in radio tuning and notch filtering.

Parallel RLC Tuning at Resonance | JoVE K12

JoVE Core Elektrik Mühendisliği, devre analizi teknikleriyle birlikte elektrik devrelerinin temel kavramlarını kapsayan, anlaşılması kolay animasyonlu videolar sunar. Operasyonel amplifikatörler ve devre dönüşümü kavramlarını kullanarak birinci dereceden ve ikinci dereceden devreleri içerir. Pratik tasarım örneklerinin ve gerçek dünya uygulamalarının bilim insanlarınca hazırlanan videolar aracılığıyla dahil edilmesi, karmaşık kavramları erişilebilir hale getirerek önemli bir eğitim değeri katmaktadır.

electrical engineering

Parallel RLC Tuning at Resonance

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