## Bridge Rectifiers And APFC

## Bridge Rectifiers

One or more bridge rectifiers fully rectify the AC power stream after it passes the EMI/transient filter. During this process, AC is converted to DC with increased voltage level (if we have 230V input, then the DC output of the bridge rectifier will be *√2x230*=325.27VDC). Afterward, the DC signal is fed to the FET(s) of the APFC stage.

## Active Power Factor Correction Converter (APFC)

Before we talk about the APFC stage, let's go over some basic concepts. Power factor is defined as the ratio of real power to apparent power (kW/kVA), and power is the product of voltage and current **(P = V x I)**.

We have two basic types of loads: resistive (the load consists only of resistors) and reactive (the load consists of inductors, capacitors or both). In a reference system with a linear load that is fed with AC power, both current and voltage curves are sinusoidal (the sine wave or sinusoid is a mathematical function that describes a smooth, repetitive oscillation). If the load is purely resistive, then the two above quantities reverse their polarity at the same time (the phase angle between voltage and current is 0 degrees), so at every instant, the product of voltage and current is positive. That means the direction of energy flow does not reverse, so only real power is transferred to the load.

In cases where the load is purely reactive, there is a time shift (the maximum is theoretically 90 degrees, but is typically 45 degrees) between voltage and current, so the product of these two for half of each cycle is positive, and for the other half, it is negative (when the voltage is at its peak, either positive or negative, current is zero and vice-versa). Thus, on average, as much energy flows to the load as flows back to the source (power grid). If we analyze a whole cycle, then we will see that there is no net energy flow and that only **reactive energy** flows, as there is no net transfer of energy toward the load.

However, the above explanation is only theoretical because, in real life, all loads (or circuits) present resistance, inductance and capacitance. So, both real and reactive power will flow to them. Apparent power is the vector sum of real and reactive power, or the product of the root-mean-square of voltage and current. As mentioned, power factor is the ratio between real and apparent power. We must also stress that residential consumers pay only for the real power (watts) that they consume, and not for apparent power. On the contrary, business consumers have to pay for apparent power as well.

Although residential consumers do not have to pay for apparent power, in order to minimize apparent power usage, the EU standard EN61000-3-2 states that all switched mode power supplies with output power of more than 75W must include a passive PFC converter. In addition, the 80 PLUS certification requires a power factor of 0.9 or more. Some years ago, many PSU manufacturers used passive PFC (PPFC) in their products. The PPFC uses a filter that passes current only at line frequency, 50 or 60Hz, so the harmonic current is reduced and the nonlinear load is transformed to a linear load. Then, with the usage of capacitors or inductors, the power factor can be brought close to unity. The disadvantage of PPFC is that it attains smaller power factors than APFC and requires a voltage doubler for the PSU to be compatible with 115/230V. On the contrary, PPFC has higher efficiency than APFC.

An APFC is basically an AC/DC converter that controls the current supplied to the PSU via pulse-width modulation (PWM). Initially, the bridge rectifier rectifies the AC voltage, and then the PWM triggers the APFC FETs (usually two of them), which separate the intermediate DC voltage into constant pulse sequences. These pulses are smoothed out by the bulk capacitor(s) and are fed to the main switchers. Right before the smoothing capacitor(s), we always find an inductor (coil) that has the ability to limit the sudden rise of current without dissipating energy, since it's a reactive component. This coil is necessary because all capacitors connected directly to a DC signal show uncontrolled inrush current, and this inductor limits it effectively. The aforementioned inductor can also play the role of a current transformer, informing the APFC's controller about the current that passes through the circuit. Finally, in most cases, there is also a thermistor in the APFC to further limit the inrush current, especially in the switch-on phase of the PSU, where the smoothing capacitor is fully uncharged.

In APFC, two different types of control are used: discontinuous conduction mode (DCM), where the PFC FETs are turned on only when the inductor current has reached zero, and continuous conduction mode (CCM), where the FETs are turned on when the inductor current is still above zero and thus all reverse recovery energy is dissipated in the FETs. In the APFC stage of PSUs, the second mode (CCM) is mostly used. It is ideal for output power over 200W because it offers the lowest peak-to-average-current ratio for the converter. The main drawbacks of CCM are the loss and EMI generation associated with turning off the boost diode. The reverse recovery currents of the diode cause significant power dissipation to the FETs and increased EMI. That's why we usually see an X capacitor after the bridge rectifier.