What Is a DC/DC Converter? Part 2

What Is a DC/DC Converter? Part 1, click it. This time, I will talk about "100% efficiency is ideally possible to be realized by control switching time ratio." Then I will explain the function of inductors (coils) that achieve the content described above. Finally, I will compare the features of DC/DC Converters with those of Linear regulators and explain what kind of applications they are used for based on their features.

* The term switching regulator will be omitted hereafter.

Contents

Time Ratio Control and Efficiency of Buck DC/DC converters

The Characteristics of an Inductor and its Function in DC/DC Converters

Comparison of Linear Regulators and DC/DC Converters

Conclusion

Time Ratio Control and Efficiency of Buck DC/DC Converters

Let me review the lesson from last time. Figures 1 and 2 show voltage generation method of buck DC/DC converters, which are the same figure in the previous time. I explained that pulse output from the time ratio-controlled DC/DC converters is converted to a constant voltage corresponding to the time ratio by the LC low-pass filter.

What can we find out if we focus on power supply side?

Input voltage and input current are converted to pulse train by DC/DC converters. Power is supplied only during Ton period, and no power is supplied during Toff period.

How do DC/DC converters regulate output voltage during Toff time? Inductor is the answer to that. As I explained, an inductor smooths out time-division pulses and can be a filter to generate stable output with an output capacitor. In addition, the inductor has an important role of storing and releasing energy.

The Characteristics of an Inductor and its Function in DC/DC Converters

When a current flows through an inductor, energy determined by the current and inductance value of the inductor is stored in the inductor as magnetic energy. A capacitor also stores electric energy by charging and keeps energy until it is released, but an inductor releases energy as soon as the power supply is stopped.

Figure 3 shows the operation of switches and the current flow of DC/DC converters in each switching state. Step 1 is the Ton period, and Step 2 is the Toff period. During Ton period, power source supplies required current by load, Iout, through the inductor, and the inductor stores energy by that current of Iout. On the other hand, during the Toff period, energy stored in the inductor is released and the current is supplied from GND. By this operation, the current is supplied from the power source only during the Ton period, but the load keeps receiving current.

Suppose that a 100 mA load is necessary, 100 mA is supplied from the power source during the Ton period and 100 mA is supplied from GND during the Toff period.
Input power, Vin × Iout is supplied during the Ton / (Ton + Toff) period. Thus,

Input power = (Vin × Iout) × (Ton / (Ton + Toff)). ... (1)

On the other hand,

Output power = Vout × Iout. ... (2)

As I explained in the lesson last time,

Vout = Vin × (Ton / (Ton + Toff)). ... (3)

Substituting equation (3) in (2),

Output power = Vin × (Ton / (Ton + Toff)) × Iout. ... (4)

The Input power of (1) and the output power of (4) are equal.
As I explained in the volume #4,

Efficiency (%) = Output power(W) / Input power(W). ... (5)

You can say that the ideal efficiency of DC/DC converters is 100%.
This is the greatest merit of DC/DC converters.
You may find the comparison between linear regulators and DC/DC converters in Figure 4.

Example) Consider the case that Vin = 5 V, Vout = 2 V, and Iout = 100 mA.

Linear regulators generate stable output voltage by consuming power with an internal output driver transistor. As described in volume #4, the ideal efficiency of linear regulators is calculated as below.

Efficiency (%) = Output voltage(V) / Input voltage(V).

Therefore, in the case that Vin = 5 V, Vout = 2 V, and Iout = 100 mA, the efficiency will be 40%.
On the other hand, for buck DC/DC converters, this case corresponds to the Example 3 in Figure 2, where the time ratio of Ton / (Ton + Toff) is 40%.
For output power, Vout × Iout = 2 V × 100 mA = 200 mW,
only 40% of input power (5 V × 100 mA) is needed.
Input power is Vin × Iout × time ratio = 5 V × 100 mA × 40% = 200 mW.
Output power is the same as input power, and efficiency will be 100%.
Therefore, the ideal efficiency of buck DC/DC converters will be 100%.

*Note that Figure 4 and the explanations above assume the ideal case that the consumption current of linear regulators and DC/DC converters or loss by external components are not considered.

Comparison of Linear Regulators and DC/DC Converters

Now let's compare linear regulators and DC/DC converters and think about their use.

Linear regulators vs DC/DC converters

Example of application

• Low noise power supply → LDO

• Large current, high efficiency → DC/DC converters

Efficiency

As I explained above, a DC/DC converter ideally achieves 100% efficiency; this is the greatest advantage of a DC/DC converter. Actual efficiency will be 80 to 95% by the loss of a DC/DC converter itself and switching loss and others.

On the other hand, a linear regulator cannot achieve such high efficiency as a DC/DC converter because a linear regulator generates the required voltage by using an output driver that consumes a large amount of power, and as described above efficiency can be expressed as:

Efficiency (%) = Output Voltage(V) / Input Voltage (V).

High efficiency close to DC/DC converters can be realized by making the voltage difference between input and output as small as possible with ultra-low dropout voltage LDO.

Output Current

A DC/DC converter is suitable for large-load current devices like CPU since its efficiency is high. On the other hand, a linear regulator is not so suitable for such kinds of devices because an output driver consumes a large amount of power.

Noise

Linear regulators do not make significant noise basically because they generate output voltage by dividing input voltage with on resistance of their output driver and load resistance.
*Noise here we talk about does NOT mean the white noise or 1/f noise which both linear regulators and DC/DC converters have.

On the other hand, DC/ DC converters switch the input power supply at a time ratio proportional to the output voltage/input voltage, so switching noise is inevitable. This noise generation is a major disadvantage of DC/DC converters. The generated noise frequency is the switching frequency of DC/DC converters and their harmonics. DC/DC converters can be used in applications that are not affected by noise in these frequency bands.

Output Voltage

Linear regulators conduct only step-down operations because they generate output voltage by dividing the input voltage by the resistance of the output driver and the load resistance. On the other hand, DC/DC converters have a major feature that if the energy storage and release functions of the inductor are used, step-up (boost) operation and inverting operation can be realized simply by changing the connection method of the power supply, inductor, and switch. (I will explain it in the next lesson.)

Circuit Complexity

The basic internal circuit of a linear regulator consists of only four elements: a reference voltage source, an error amplifier, a feedback resistor, and an output driver transistor, and it is simple. Only an input capacitor and an output capacitor are needed as external components and it is easy to use. On the other hand, DC/DC converters consist of a reference voltage source, an error amplifier, an oscillator circuit, and a comparator for controlling the time ratio, a high-side switch, a low-side switch, etc., and the circuit is complicated and large. Note that an inductor is required as an external component; it is difficult to design, and the cost may be high.

Based on the above comparison of features (advantages and disadvantages), the applications of linear regulators and DC/DC converters can be summarized as follows.

Linear regulator

It is suitable for applications that are sensitive to noise such as sensors, and applications that require low current consumption rather than efficiency because load current is small. It may also be used to reduce the switching noise of DC/DC converter by inserting it between the load and DC/DC converter to remove the ripple.

DC/DC converter

It is used for applications that require high efficiency, for CPUs and large-scale digital circuits that require a large current on the premise of high efficiency, and for applications that require a higher voltage or negative voltage compared to the input voltage.

Conclusion

This time, I explained that efficiency, which is the greatest feature of DC/DC converters, can be realized by utilizing the energy storage and release of the inductor, which is a component of DC/DC converters. We also addressed applications of linear regulators and DC/DC converters by comparing them. Thank you for reading through.