# Zener Diode Voltage Regulator

**A Zener diode voltage regulator is a circuit that uses a Zener diode to maintain a constant DC output voltage. **An ideal regulator would output a constant voltage regardless of input fluctuations or variation of load current.

## Zener Diode as Voltage Regulator

**The Zener diode regulator uses a Zener diode to provide a consistent voltage output**. It is simple and cheap, which makes it great for many applications. It’s simplicity also makes it ideal for learning the concept of voltage regulators.

**Zener diodes are a special type of semiconductor diode**. Like other diodes, their primary component is a doped P-N junction. All diodes allow current to flow while they are forward biased. However, unlike other diodes, Zener diodes are also designed to allow current to flow when negatively biased.

Zener diodes are ideal for application as a voltage reference or regulator because they feature a Zener voltage V_{Z} when they are reverse biased. The Zener voltage V_{Z} stays relatively constant even if the current fluctuates. This is shown in the current-voltage curve of the Zener diode.

The actual value of V_{Z} depends on the semiconductor materials and construction of the diode. Hundreds of Zener diodes with different values of V_{Z} are available. This means that when designing a Zener regulator, you can simply choose the Zener diode based on the required voltage output.

## Zener Regulator Circuit

A Zener regulator is constructed by placing a Zener diode in series with a resistor, with the Zener diode having a reverse-biased configuration. This is similar to a voltage divider, with the second resistor being replaced by the Zener diode.

The voltage output is taken across the Zener diode, i.e. V_{out} = V_{Z}:

### Zener Regulator Circuit Diagram

This output is ordinarily connected across the load, as represented here by load resistor R_{L}:

Unlike the resistor in a voltage divider, the Zener diode’s V_{Z} will not change significantly with a change in current, so V_{out} should remain constant.

## Zener Regulator Theory

Zener diode voltage regulators make use of the diode’s Zener voltage, which relies on the principle of quantum mechanical tunneling. In general, we can consider the voltage across the diode to be equal to the Zener voltage V_{Z}. Since the load voltage is placed across the Zener diode, the load will also experience a total voltage of VZ.

The remaining voltage must be dropped across the resistor R_{1}. In other words,

*V _{R1} = V_{in} – V_{Z} = V_{in} – V_{out}*

Using Ohm’s Law, we can rewrite this as:

*I _{T}R_{1} = V_{in} – V_{out}*

Where I_{T} is the total current through the circuit and is equal to the current through the Zener diode plus the current through the load:

I_{T} = I_{Z} + I_{L}

Note that all of the current must travel through R1, but the Zener diode and load will each only see some of the current. Since the load current also depends on the load resistance, we can see that load resistance can play a significant role in the dynamics of the circuit.

### Zener Breakdown

Zener diode voltage regulators operate due to the principle of Zener Breakdown. When a P-N junction is made to be narrow, a sufficient voltage can cause electrons to tunnel through the depletion region, to the opposite side of the junction.

#### Tunneling

**Tunneling **is a quantum mechanical phenomenon that occurs because the electron has wave-particle duality. In quantum mechanics, electrons are modeled to be wave functions rather than simple ‘particles’. They are spread out in space, with a probability of being at a certain point. Due to this probabilistic nature, **if a barrier (like the depletion region) is made small enough, there is a probability that the electron can tunnel through the barrier to the other side**.

This is how Zener breakdown occurs; given enough energy by the electric potential difference across the Zener diode, the chances of an electron tunneling through the barrier increases dramatically.

## Power Rating

The Zener diode has a maximum power rating that designates the maximum amount of electric power that it can safely dissipate.

Since a Zener diode has a relatively fixed Zener voltage V_{Z}, the power rating essentially dictates the maximum current that the diode can handle:

Power \,Rating=V_ZI_{max}

Therefore the maximum power

## Designing a Zener Regulator

There are two components in a Zener diode voltage regulator: the Zener diode and resistor.

Therefore there are two primary choices that must be made when designing a Zener regulator. Generally, a diode is chosen first because its’ specs will determine the resistor needed.

The following steps will help in designing a Zener diode voltage regulator:

### Choose a Zener Diode

The first design choice to make is choosing the Zener diode. Diodes come in a large selection of Zener voltages. The selection process starts by choosing a diode with a Zener voltage (V_{Z}) that matches the output voltage that you want the regulator to provide.

You’ll also want to take power and current into account; different Zener diodes with the same V_{Z} can be designed for different applications. The diode’s data sheet will often alert you to that diode’s intended uses as well as providing technical specifications.

There are two specifications you will need in order to choose a resistor:

(1) The diode’s breakdown current, also called the knee current or minimum current (I_{min}).

(2) The diode’s power rating, which is the maximum power at which it can safely be used. The power rating and Zener voltage V_{Z} can be used to determine the maximum current:

I_{max}=\frac{P_{max}}{V_Z}

### Choose a Resistor

We just found two parameters for the Zener diode, I_{min} and I_{max}. We can use these parameters to **determine the value of resistor needed** to complete the circuit.

#### Determine the Minimum Resistance Value

The minimum value of resistance (R_{min}) can be found by using the maximum current and plugging it into Ohm’s Law:

R_{min} = \frac{V_{in}-V_Z}{I_{max}}

Note that Vin is the voltage supplied to the regulator.

#### Determine the Maximum Resistance Value

The maximum resistance value (R_{max}) can be found by using the minimum current and plugging it into Ohm’s Law:

R_{max} = \frac{V_{in}-V_Z}{I_{min}}

#### Determine the Ideal Resistance Value with Load Attached

Now that we know the minimum and maximum values of resistor that we need in order to safely use the chosen Zener diode, we can use the load resistance to find the ideal resistor.

We do this by applying Kirchoff’s Current Law (KCL), which states that the current leaving any junction must be equal to the current entering the junction. In this case, the current through the resistor (I_{R}) must be equal to the current through the Zener diode plus the current through the load:

I_R=I_Z+I_L

We calculate the maximum and minimum load currents using both the minimum and maximum values for resistor R_{1} (note that the voltage across the load is equal to V_{Z}):

Maximum load current:

I_{Lmax}=\frac{V_Z}{R_{min}}

Minimum load current:

I_{Lmin}=\frac{V_Z}{R_{max}}

## Zener Regulator in the Power Supply

Zener regulators are commonly used in power supplies following the rectifier filter and bleed resistor.

The rectifier takes a sinusoidal AC signal and converts it into a pulsed DC signal.

The rectifier filter smooths the pulsed DC signal, producing a triangular/sawtooth waveform that has minimum ripple.

A bleed resistor dissipates any stored charge from the filter capacitors if the circuit is disconnected from the power source.

Finally, the Zener diode voltage regulator outputs a constant voltage, absorbing fluctuations in voltage and current.

### Linear vs Non-Linear Regulators

Two broad classifications of voltage regulators are linear and non-linear.

Linear regulators use the transistor in the linear region, whereas non-linear regulators operate in cut-off or saturation modes.

Switched mode power supplies make use of non-linear regulators, and offer the advantage of greater efficiency and smaller size.

### Discrete Component Regulators

Regulators that use discrete (i.e. individually packaged) components like resistors, diodes, capacitors, and inductors are known as **discrete component regulators**.

The Zener diode regulator is the most common linear, discrete component regulator and is an excellent introduction to the subject of voltage regulators.