Diode Approximations | Diode Models

Diode Approximations | Diode Models
You might come across the terms ideal and practical diodes. As a beginner, these terms might confuse you. So, I think it is important to discuss the properties of an ideal diode and a practical diode.

Outline
  • Discuss different diode approximation or diode models
  • How does practical and ideal diode model differ from each other?
  • Why do we need to learn the behaviour of an ideal diode?

Diode Models And IV Characteristics:

The current-voltage characteristics curve is shown in figure 7. Look at the graph, how much a practical diode deviates from ideal behaviour. An ideal diode is a piecewise linear device, while a practical diode is a non-linear device. Linear device means its current-voltage graph is a straight line. A diode is non-linear because its current-voltage graph is a non-linear curve. For voltage values less than 0.7V, the current is zero. Just above 0.7V, the current increases rapidly. Current doesn't increase proportionally to an increase in voltage.

First Approximation Or Ideal diode:

This is the simplest approximation. The graph is simple and piecewise linear. Zero resistance when forward biased, infinite resistance when reverse biased. It is analogous to a mechanical switch. Because the switch has zero resistance when close. And a switch has infinite resistance when open. The voltage across the diode is 
VD = 0

Ideal diode in forward and reverse biased mode
Figure 1 Ideal diode and its equivalent

Diode first Approximation, IV Curve of ideal diode
Figure 2: Ideal diode IV Curve

Second Approximation Or Practical diode Model:

The graph is piecewise linear. Look at the graph, the diode doesn't conduct until the voltage reaches 0.7.

According to this approximation, a diode is analogous to a switch in series with a barrier potential of 0.7V. Look at the figure, the diode becomes forward bias when the applied potential is at least 0.7V (close switch). Hence current increase rapidly.
For applied voltage below 0.7V, it remains reverse bias (open switch). The voltage across the diode is
VD = 0.7 V

Diode second approximation and its equivalent
Figure 3 Non-ideal diode and its equivalent
Second approximation of diode - IV Curve
Figure 4 Non-ideal diode, IV Curve

Third Approximation Or Detailed Model:

According to this approximation, a diode is analogous to a switch, a barrier potential and a resistor (Rf), connected serially. Rf shows the internal resistance of semiconductors.

Now examine the effect of Rf. The diode turns on as the applied voltage is 0.7V or above. Thereafter, the current increases as an increase in voltage (Rf is ohmic resistance). We can apply Ohm's law and find voltage and current through it. The voltage across the diode is
VD = IDRf +0.7


Where
VD = diode voltage
ID = diode current
Rf = forward resistance of diode or bulk resistance

Third Approximation of diode and it's equivalent
Figure 5 Third approximation of diode
Diode IV Curve (a practical diode IV Curve)
Figure 6 Third approximation IV Curve

Difference between ideal and practical diode:

Compare IV curves of a practical and ideal diode
Figure 7 Practical diode Vs Ideal diode IV Curve

You have seen all three diode approximations. The figure above is the graph obtained from a real diode. In this graph, we consider all the effects of ohmic resistance, threshold voltage, leakage current and breakdown region.

Forward Biased

Ideal Diode
  • It behaves as a perfect conductor
  • An ideal diode is like a closed switch. It has 0Ω resistance between anode and cathode
  • No need for threshold voltage
  • It has zero resistance, and hence infinite current through the diode. (I = V/R)
Real Diode
  • It also acts as a conductor. Due to imperfections, it offers a small forward resistance Rf
  • It is also like a closed switch, except a small forward resistance Rf
  • Real diodes need a little voltage called knee voltage or threshold voltage to overcome barrier potential
  • Due to small forward resistance Rf, there is a voltage drop at the diode and hence finite current through the diode

Reverse Biased

Ideal Diode:
  • It behaves as a perfect insulator
  • An ideal diode is like an open switch in reverse bias conditions. No current can flow from anode to cathode
  • Breakdown region is not possible at any magnitude of applied voltage
Real Diode:
  • It behaves as an insulator. There is a voltage limit called the breakdown voltage. The diode can not operate beyond this limit
  • Real diodes deviate from ideal behaviour because of minority carriers. Due to minority carriers, it has some reverse current flows from cathode to anode. This current is called reverse saturation current or leakage current
  • They do have a breakdown voltage. If the applied voltage exceeds the rated voltage, results in junction breakdown

Need of Ideal Diode Behaviour:

You have read the features of an ideal diode. An ideal diode can not possible to produce. It has infinite resistance in reverse biased conditions, and hence no current. It has zero resistance in forwarding biased conditions, and hence infinite current. Such conditions are not possible practically.

Which diode model commonly use during analysis?
Most of the time we consider the third approximation.

Why do we consider an ideal diode?
We consider the ideal diode at the first stage of our analysis and troubleshooting. It is easy to understand the circuit analysis with an ideal diode. As a beginner, it is better to start with ideal diodes, to keep circuit analysis as simple as possible.


Biased & Unbiased Diode Clampers, Circuit Diagrams & Working

Biased And Unbiased Diode Clampers, Circuit Diagrams And Working

Applications of Diode - Types of Diode Clampers (Positive and Negative clampers, Biased and Unbiased Clampers) - Circuit Diagrams and Working, Waveforms and Comparison 

Another popular diode-based circuit is the clamping circuit. A clamper circuit or network adds DC level to a given AC signal without any change in signal shape. A simple circuit is shown below, comprise of a capacitor, diode and resistor. Carefully choose the capacitance value. The time constant should be large enough to maintain the shape of the output signal. The time constant can be increased by using larger capacitance values. Throughout this article, I consider a practical diode with a drop of 0.7V.

V1 is the sinusoidal input
VP is the peak voltage
Vo is the output voltage


Outline:
In this article, I explain different types of clamper circuits, like biased clampers and unbiased clampers, positive and negative clampers.

Comparison between biased positive clampers and unbiased positive clampers. 

Comparison between biased negative clampers and unbiased negative clampers.




Positive Clamper Circuit Diagram and Working:

It clamps the incoming signal to an upward direction. See the circuit below (figure 1). The diode arrow points upward. It means the signal is going to shift in an upward direction.

During the negative half-cycle, the diode turns on. As a result, the capacitor charges up to peak value (VP - 0.7V) that is 9.3V. (Considering practical diode)

During the positive half cycle, the diode opens (reverse bias). No path to flow current. To determine the output voltage that appears across the resistor, apply KVL to the loop.

Vo =  V1 + VP

Unbiased positive diode clamper circuit diagram
Figure 1 Positive Clampers, capacitance value should high to keep time constant large

Negative Clamper Circuit Diagram and Working:

It clamps the incoming signal to a downward direction. See the circuit below (figure 2). The diode arrow points downward. It means the signal is going to shift in a downward direction. Each point on the sine wave is shifted to a downward direction by an amount of VP.

During the positive half cycle, the diode turns on. As a result, the capacitor charges up to peak value (VP) which is 9.3 V (considering diode drop).

During the negative half-cycle, the diode opens (reverse biased). To determine the output voltage that appears across the resistor, apply KVL to the loop.

Vo = - Vi - VP
Unbiased diode negative clampers circuit diagram, working and waveforms
Figure 2 Negative Clampers

Positive Biased Clamper Circuit Working:

During the negative half-cycle, the diode is reverse biased for a small part of the input signal. This is because of DC source polarity (V2 = 2V). The anode is more positive than the cathode for a small part of the input waveform (V1 <V2). For higher values of V1 (V1> 2V) the diode turns on and capacitor charges with the polarity shown.
V1 - VC1 - 0.7 - 2 = 0
VC1 = 7.3V

It means the capacitor clamps the output signal to a voltage level of 7.3V.

During the positive half cycle, the diode remains to turn off. The capacitor holds its charge because of the larger capacitance value.
The voltage across the load resistor is
-V1 -VC1+Vo= 0
Vo = 17.3 V

Output voltage clamps and swings from 17.3 V to -2.7 V.

See in next section where I compare both positive clampers Vs positively biased clampers.

Diode positive biased clampers, circuit diagram, working and waveforms
Figure 3 Positive Biased Clampers

Negative Biased Clamper Clamper Circuit Working:


During the positive half cycle, the diode remains to turn off for a small part of the input waveform. This is because of the DC source (3V) at the anode. To make the diode forward biased, the anode should more positive than the cathode.

V1 > (3 + 0.7)V …. Turn on condition

Where
V1 = input voltage
0.7V is the forward voltage drop

As the diode turns on, the capacitor charges till the peak value.

-V1 + VC1+0.7+3 = 0
VC1 = 10 - 3.7
VC1 = 6.3 V

During the negative half-cycle, the diode remains off. To determine output voltage, apply KVL to the loop.

V1 + VC1 + Vo = 0
10  + 6.3 + Vo = 0
Vo = -16.3 V

Output voltage clamps and swings from -16.3 V to 3.7 V.

Diode negative biased clampers, circuit diagram, working and waveforms
Figure 4 Negative biased clampers

Compare the results:

Compare the unbiased clamper with the biased clamper circuit. What is the effect of adding a DC source in series with the diode?

Positive Clamper (Unbiased) Vs Positive Biased Clamper:

Compare the results obtained from biased and unbiased circuits.

Unbiased clampers give clamped waveforms. The clamping value is equal to the peak input voltage.

For example, if we have a peak input voltage equal to 10V (peak to peak), swings from +10V to -10V.

The unbiased clamper produces an output that is exactly similar to input but has added DC value. The output signal clamped at 9.3V. It swings from +20 to 0V.
Comparison of unbiased positive Clampers and biased positive clampers (waveforms)
Figure 5 Positive clampers Vs positive biased clampers


Biased Clampers also give clamped waveforms. The difference is the clamping level. Capacitor charging describes the clamping level. In the above circuit positive biased clampers, the capacitor charges up to 7.3V.

We have peak input voltage equal to 10V (peak to peak), swings from +10V to -10V.

The biased clamper produces an output that is exactly similar to input but has added DC value. The output signal clamped at 7.3 V. It swings from +17.3 to -2.7V.

Negative Clamper (Unbiased) Vs Negative Biased Clamper:


Compare results obtained from negative clampers and negative biased clampers.

Unbiased Clampers give clamped waveforms. The clamping value is equal to the negative peak of the input current voltage.

We have input voltage equal to 10V (peak to peak), swings from +10V to -10V.

The negative clamper added a DC level. The output signal swings from 0.7V to -19.3V.

Comparison of unbiased negative clampers and biased negative clampers (waveforms)
Figure 6 Negative Clampers Vs negative biased clampers

Biased Clampers: In the above example of negatively biased clamper, we have a 3V DC voltage source. Due to this source, we have a different clamping level. In this case, the capacitor charges up to 6.3V. 

Diode Clipper Circuit - Biased, Unbiased, Positive and Negative

Diode Clipper Circuit - Biased, Unbiased, Positive, Negative Clippers

Diode Clipper Circuit - Biased Clippers, Unbiased Clippers, Positive Clippers, Negative Clippers, Shunt Clippers and Double Diode Clipper Circuits:


Clippers are also called amplitude selectors or slicers. A circuit arrangement is used to cut off the part of the signal.  Diode clippers can clip off unwanted parts of the waveform. We have set a reference point. The Signal port lies above or below the reference point clips off. You can think of a half-wave rectifier as the simplest form of clipper (see figure 1).

Series unbiased diode clipper circuit
Figure 1 Simple clipper circuit or rectifier

The basic components of the clipping circuit are a diode and a resistor. In the above circuit, the negative half-cycle was eliminated. You can decide the clipping level of your own choice. To get the desired level of clipping, you have to add a DC source in series with the diode. These are called biased clippers.

Positive Clippers:

It removes the positive part of the input signal.

Negative Clippers:

It removes the negative part of the input signal.

Series Clippers:

In series clipper circuits, the diode is in series with input and output terminals.

Shunt Clippers:

In shunt clippers, the diode is in parallel with input and output terminals.
      

Example 1: Positive Series Biased Clippers:

Series positive clipper circuit
Figure 2 Positive series clipper

  1. Positive series clipper, diode D1 direction shows it is a positive clipper
  2. Observe the circuit without sinusoidal input (V1).
  3. D1 is reverse biased. Because of biasing voltage polarity. At anode 0V while at cathode +2V
  4. Now consider a circuit with sinusoidal input  (V1)
  5. During the positive half cycle more positive voltage at cathode +6V and +2V. The diode remains off. No voltage at the output
Vo = 0
  1. During the negative half-cycle, the diode is forward biased for a small portion of the input wave. We have to evaluate the time of the diode.
  2. A diode is forward biased when the anode is more positive than the cathode. The cathode is at 2V (biasing voltage). To make the diode forward bias, the applied voltage is less than -2V (for the ideal diode) or -2.7V (for the practical diode)
  3. Apply KVL on the equivalent circuit (negative half cycle)
V1 - 2 - 0.7 +Vo = 0
Vo = - V1 + 2.7
Vo = -3.3V

Look at the output waveform (Blue). We get a new peak shifted in the upward direction. During the negative half, the cycle diode remains turned off until V1 reaches up to -2.7V.

It is simple, when the diode turns on, the signal appears at the output. And we have evaluated the on-time of the diode.

Example 2: Shunt Biased Negative Clippers :

Shunt Biased clippers | parallel negative diode clippers
Figure 3 Shunt clippers/negative clippers

  1. The figure above is a negative shunt clipper. The direction of the diode shows it is a negative clipper
  2. Have a look at the circuit diagram, output is taken across the diode and  DC voltage source
  3. During the positive half cycle, the diode is reversed biased (open circuit). No voltage drop occurs. A positive half cycle appears at the output
  4. During the negative half-cycle, voltage half-cycle, a small portion of the input wave appears at the output, rest of the portion clips
  5. We get the output until the diode remains off. When does diode forward bias?
  6. The diode turns on when the anode is at a higher potential than the cathode
  7. The anode is at -3V. To make it forward bias input is less than -3.7V (consider diode drop)
  8. Look at the output waveform (blue), it clips after -3.7V

It is simple, when the diode turns off, the input signal appears at the output.

Example 3: Biased Shunt Clippers Clippers | Double Diode Clippers:

Double diode Shunt clippers
Figure 4 Double diode clippers


I would like to explain the double diode clipper with biasing level 3V.
During the positive half cycle, D2 reverse bias D1 forward bias for a small portion of the input waveform.
  1. D1 turns on when the anode is at a higher potential than the cathode.
  2. Look at D1, the cathode is at +3V. To turn on (forward bias) the D1, applied voltage greater than 3.7V
  3. After 3.7V, no voltage appears at the output
  4. Look at the output voltage waveform (blue) which clips off after 3.7V

During the negative half-cycle, D1 reverse bias, and D2 forward bias for a small portion of the input waveform.
  1. D2 turns on when the anode is at a higher potential than the cathode
  2. Look at D2, the anode is at -3V. To turn on (forward bias) the D2, applied voltage less than -3.7V
  3. After -3.7V, no voltage appears at the output
  4. Look at the output voltage waveform (blue) which clips off after -3.7V

Applications of clipping circuit:

  • It is used in wave shaping in such a way that it limits the peak of the input signal. It also removes the unwanted peaks
  • It is used in communication systems, signal processing

In the end:

Dear students! You don't need to apply KVL or solve mesh equations. You just need to have some practice. Use any circuit analysis software. Draw different clipper circuit configurations
Analysis output waveforms. After some practice, you can easily draw the output waveforms.

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