Name: diode bias and small-signal response
Uploaded: 2024-07-08T13:20:19.000Z
Duration: 1 min 18 s
Channel: JoVE

ダイオード回路では、DCバイアス電圧が抵抗を介してダイオード電流を駆動し、電流-電圧特性曲線で指数関数的な動作を示します。
時間とともに変化する小さな信号が生じると、Qポイントを中心とするDCバイアス電圧と結合します。
全瞬時ダイオード電流の指数項は、バイアス電流と信号電流の両方に寄与します。
信号電圧の振幅が熱電圧よりも大幅に小さい場合、ダイオードは特性曲線の短いほぼ直線的なセグメント内で動作します。
この小信号近似では、指数項は単純化されます。
その結果、ダイオード電流はDCバイアス電流と信号電流の合計になります。
ダイオードの小信号コンダクタンスは、小信号電流と小信号電圧の比として定義され、QポイントでのI-V曲線に対する接線の傾きによって決まります。
ダイオードの小信号コンダクタンスの逆数は、ダイオードの小信号抵抗または増分抵抗と呼ばれ、熱電圧をバイアス電流で割った値に等しくなります。

小信号ダイオード モデル

Small-signal Diode Model

回路内のダイオードの動作を分析する場合、ダイオードを流れる電流とダイオードにかかる電圧の関係は、特に直流 (DC) バイアス電圧の影響を考慮するときに特に重要です。この DC バイアスを適用すると、ダイオードの動作点 (Q ポイントと呼ばれる) に影響が及び、その付近でダイオードの電流電圧 (I-V) 特性は指数関数的な動作を示します。このバイアスに加えて、時間とともに変化する小さな信号を導入すると、この Q ポイント付近の変動に対するダイオードの応答を調べるのに役立ちます。

<img alt="Figure 1" src="/files/ftp_upload/15717/15717_Figure_1.svg" style="height: 250px;">

この追加信号電圧の振幅がダイオードの熱電圧 (V_T) よりもかなり小さいままである場合、ダイオードの応答は、特性曲線の短い部分で線形として近似できます。小信号近似と呼ばれるこのシナリオは、複雑な指数関係をより扱いやすい線形関係に簡略化し、総瞬間ダイオード電流 (i_D) を一定のバイアス電流 i_D(DC) と変化する信号電流 i_D(AC) の両方の合計として見ることができるようにします。

<img alt="Equation 1" src="/files/ftp_upload/15717/15717_Equation_1.svg" style="height: 24px;">

信号電流を信号電圧に結び付ける尺度は、コンダクタンスで表され、mho で測定され、ダイオード小信号コンダクタンスと呼ばれます。これは、Q ポイントでの I-V 曲線の接線の傾きです。逆に、ダイオードの小信号または増分抵抗 (r_d) は、コンダクタンスの逆数です。これは、電流の小さな変化に対するダイオードの抵抗を測定し、熱電圧をバイアス電流で割って計算されます。

<img alt="Equation 2" src="/files/ftp_upload/15717/15717_Equation_2.svg" style="height: 46px;">

<img alt="Equation 3" src="/files/ftp_upload/15717/15717_Equation_3.svg" style="height: 46px;">

これらのパラメータは、ダイオードを含む回路の設計と解析に重要であり、特に信号の増幅や減衰の正確な制御を必要とするアプリケーションでは重要です。

ダイオード回路では、DCバイアス電圧が抵抗を介してダイオード電流を駆動し、電流-電圧特性に指数関数的な動作を示します...

Education

JoVE Core

Electrical Engineering

電気工学

Unit 1

ユニット1

Diodes

ダイオード

KEY TERMS AND CONCEPTS

主要用語と概念

diode bias and small-signal response

Diode bias and small-signal response describe how a diode behaves when a steady DC voltage and a tiny changing signal act on the same circuit. The DC bias sets the diode’s operating point, or Q point. Around that point, the diode current and voltage follow an exponential I-V relationship.

A small time-varying signal can be added on top of the DC bias to study how the diode responds to small changes. When the signal voltage is much smaller than the thermal voltage, the diode’s behavior can be treated as linear over a short part of its curve. This is called the small-signal approximation.

With this approximation, the total diode current can be written as the sum of a constant DC part and a varying AC part. The signal current is linked to the signal voltage by the diode small-signal conductance, which is measured in mhos. This conductance is the slope of the tangent to the I-V curve at the Q point.

The inverse of conductance is the diode’s small-signal, or incremental, resistance, r d. It shows how much the diode resists small changes in current. It is found by dividing the thermal voltage by the bias current. These ideas are useful when analyzing and designing circuits that use diodes for signal amplification or attenuation.

Diode Bias and Small-Signal Response

the ideal diode

Ideal Diode I-V Curve and Rectification

An ideal diode is a simple model of a semiconductor diode used to show how current moves through circuits. A diode has two terminals. The anode is positive, and the cathode is negative. In this model, current can flow only in one direction. When a positive voltage is applied to the anode relative to the cathode, the diode is forward-biased. In that state, it conducts current. When the cathode is at a higher potential than the anode, the diode is reverse-biased. It then blocks current and acts...

diode: forward bias

Diode Current in Forward Bias

Diode current in forward bias depends on how the p-type and n-type regions are connected to a battery. When the p-type region is tied to the positive terminal and the n-type region to the negative terminal, the diode is forward-biased. This setup lowers the potential barrier inside the diode and lets current move easily from the p-type side to the n-type side. The current-voltage behavior of a forward-biased diode is described by its I-V characteristics. These characteristics depend on the...

diode: reverse bias

Diode Reverse Current and Breakdown

A diode in reverse bias blocks current flow and widens its depletion region. In this setup, the positive terminal of the power source connects to the n-type material, and the negative terminal connects to the p-type material. The reverse connection also raises the barrier potential, so current stays very small. The small reverse current is called leakage current. It comes mainly from minority charge carriers. At room temperature, once the reverse voltage is above the thermal voltage, the...

zener diodes

Zener Diode Voltage Regulation

Zener diodes are semiconductor devices used to hold voltage steady in reverse bias. In reverse breakdown, current flows into the cathode and makes it positive relative to the anode. This behavior is different from a conventional diode and is the reason Zener diodes are useful in voltage regulation. A Zener diode has a nearly vertical current-voltage, or I-V, curve above a threshold called the knee current. That shape lets it keep a fairly stable voltage over a wide range of currents.

modeling of diode forward characteristics

modeling-of-diode-forward-characteristics

Diode Forward Bias: I-V Curve and Models

Diode forward bias is analyzed with the current-voltage, or I-V, curve and two common circuit models. These models help describe how a diode behaves when current flows in the forward direction. They are useful for electronic circuit design and analysis. The exponential diode model is used when the source voltage rises above 0.5 volts. At that point, the diode current increases exponentially above the saturation current. The I-V curve shows this nonlinear response as the forward voltage...

small-signal diode model

Diode bias and small-signal response describe how a diode behaves when a steady DC voltage and a tiny changing signal act on the same circuit. The DC bias sets the diode’s operating point, or Q point. Around that point, the diode current and voltage follow an exponential I-V relationship. A small time-varying signal can be added on top of the DC bias to study how the diode responds to small changes. When the signal voltage is much smaller than the thermal voltage, the diode’s behavior can be...

modeling of diode reverse characteristics

modeling-of-diode-reverse-characteristics

Zener Diode Load-Line Modeling

Zener diode load-line modeling shows how a reverse-biased diode sets a steady voltage in a circuit. Zener diodes use reverse breakdown in a controlled way, so they can hold a fixed voltage across their terminals. This makes them useful for voltage regulation. When the reverse voltage rises above the Zener voltage, or VZ, the diode enters the breakdown region. In this region, the current-voltage, or I-V, curve becomes nearly vertical after the knee current, IZ, is reached. That means the...

half wave rectifier

Single-Diode AC to DC Conversion

Single-diode AC to DC conversion uses a half-wave rectifier to change alternating current into a unidirectional voltage. The circuit is simple. It uses one diode in series with a load resistor and an AC power source. The diode controls the current because it allows flow in only one direction. During the positive half-cycles of the AC input, the diode is forward-biased. When the input voltage is greater than the diode threshold, current flows and an output voltage appears across the load...

full wave rectifier

AC to DC Conversion with Full-Wave Rectifiers

A full-wave rectifier converts alternating current, or AC, into direct current, or DC. It is more efficient than a half-wave rectifier. The circuit usually uses a center-tapped transformer, two diodes, and a load resistor. The center-tapped transformer is the key part of the circuit. Its secondary winding is split into two equal voltages with opposite polarities. That split lets the rectifier use both halves of the AC input waveform. During the positive half-cycle of the AC signal, diode D1...

bridge rectifier

AC to DC Conversion with Bridge Diodes

A bridge rectifier converts alternating current (AC) into direct current (DC) using four diodes arranged in a bridge layout. It is used to turn both halves of the AC waveform into a single-direction output. That makes it an important part of many electronics circuits. During the positive half-cycle, diodes D1 and D2 conduct. Current then flows through the load resistor R. At the same time, D3 and D4 are reverse-biased, so they do not conduct. The action switches during the negative half-cycle.

clipper circuit

Dual Diode Wave Clipping

Dual diode wave clipping uses diodes and biasing batteries to reshape an AC signal. A clipper circuit is a wave-shaping device that changes waveform parts without changing the whole signal. It is commonly used in television and radar communication systems to improve waveform modulation in transmitters and receivers. A dual-clipper setup uses two ideal diodes, two biasing batteries, and a resistor connected in parallel. The circuit works by responding to the phase of the input AC signal. The...

clamper circuit

DC Restorer for Waveform Level Shifting

A clamper circuit, or DC restorer, shifts a waveform up or down by adding a DC level. It is a special form of rectifier circuit. In this setup, the output is taken across the diode instead of across the capacitor. The circuit works well with square wave inputs and other pulse signals. The diode direction lets the capacitor charge to the most negative peak of the input signal. After that, the diode stops conducting. The capacitor then holds that voltage at a steady value. As a result, the...

voltage doubler circuit

How a Voltage Doubler Raises AC Output

A voltage doubler circuit raises the output voltage by using a clamping section and a rectifier section. The clamping section includes a capacitor, C1, and a diode, D1. The rectifier section includes a second diode, D2, and a capacitor, C2. The circuit starts working when a sinusoidal input signal enters the clamping section. Under ideal conditions, this stage clamps the positive peaks at zero volts. It also lets the negative peak reach a magnitude that is twice the input amplitude. That...

schottky barrier diode

Fast Switching in Schottky Diodes

Schottky barrier diodes use a metal-semiconductor junction to control current flow. They are built by combining a metal layer with a moderately doped n-type semiconductor. This contact creates the Schottky barrier, which gives the diode its one-way current behavior. When the metal touches the semiconductor, charge transfer occurs. The Fermi levels of the two materials align, and a depletion region forms near the contact area. In an n-type semiconductor, this region contains uncompensated...

key terms and concepts

Learn how DC bias sets a diode Q point and how small AC signals can be modeled with conductance and incremental resistance for circuit analysis.

Diode Bias and Small-Signal Response | 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

Diode Bias and Small-Signal Response

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