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[Amps] Power factor

To: amps@contesting.com
Subject: [Amps] Power factor
From: Manfred Mornhinweg <manfred@ludens.cl>
Date: Fri, 27 Sep 2013 18:37:43 +0000
List-post: <amps@contesting.com">mailto:amps@contesting.com>
Jim,

I will take you message as a cue to write another of mine, but it's addressed to everyone really, and specially to those who are not up to date with power conversion technology.

Before some people here on the forum think that power factor and its correction is too big of a problem, I think it would be good to state that this is NOT so!

To improve the power factor of a rectifier/capacitor group, either a passive or an active system can be used.

The passive system consists simply of a series inductor. The idea behind this is the following: As has been said, a rectifier/capacitor group draw strong current pulses, near the peaks of the voltage waveform. To be exact, it draws the strong current from some time before the peak voltage, until just after the peak voltage. After that the current stops. So we have two problems: The waveform of these pulses is very different from a half sine, and it is somewhat early in phase. A properly chosen series inductor will reduce the peak value of these current pulses, stretch them out, and will also phase shift them. If the inductance is properly chosen for the power level drawn, the phase of the current can be made to agree very well with the phase of the voltage, fixing one side of the power factor problem, and as a by-product the pulses are softened and broadened, making them assume a waveform closer to the half sine which would be optimal. The result is that such a simple inductor in series can improve the power factor very significantly, but it cannot make it perfect. Also, this correction is strictly optimized for one fixed power level. At any other power level, the correction will be less good. Usually the inductor is chosen to produce best power factor at full load. At partial load the power factor is then worse, but that's less bad than if it were poor at full power.

The series inductor is simple and reliable, but bulky, heavy, only partially effective, and somewhat costly.

The active system instead consists of a simple switching boost regulator, which is controlled in a special way. This boost regulator is spliced in between the rectifier and the filter capacitor, and consists basically of one MOSFET, one diode, and one inductor, one small filter capacitor, plus the control circuit.

The control circuit senses the voltage on the main filter capacitor, and produces an error signal that has a low frequency response - considerably lower than the line frequency. This error signal is multiplied with a sample of the rectified, unfiltered input voltage, and the resulting product is used to control the current flowing in the boost converter. As a result, the waveform of the current taken from the line accurately follows that of the line voltage, is very well phase-aligned, and the average magnitude of the input current varies to maintain the output DC voltage roughly constant.

This control system might sound complicated to make, but it comes all ready made inside an IC that costs less than one dollar! These ICs are manufactured by the hundreds of millions, and used in every conceivable electronic equipment.

To build such an active power factor correction circuit, one just needs the MOSFET, diode, inductor, IC, a capacitor of a few uF, and a very few small passive components. The hardest part for most people is the inductor. This uses a ferrite core, can be bought ready-made for the lower power levels, but for 3kW it probably needs to be wound at home. One of the largest ferrite cores typically available will be needed, and it will typically take something like 50 to 200 turns of wire. Except for that inductor, whose cost is highly variable depending on where you get it, all the other parts for a power factor correction circuit for the 3kW level will be about 40 dollars. This will provide about 0.98 or better power factor, regardless of the actual voltage waveform in the mains, and across essentially the whole range from nearly zero to full power!

So, if any law should be passed that requires us to have excellent power factor even in our homebuilt equipment, this can be done simply and inexpensively even for a legal limit amplifier. For lower power equipment, it costs just a few bucks, as little as 5 dollars for small ham power supplies. So there is no reason to worry.

As long as there is no such law, we have the choice of including such power factor correction, or skipping it. Without PFC, we save a few bucks, about two percent loss, and some potential for RFI. Mainly the latter two are the reasons why I use active power factor correction only when it is truly required or clearly advantageous.

In high voltage power supplies for tube type amps, active power factor correction can be included too. In principle it could be done on the secondary side, after the transformer, at high voltage, but that would require very expensive MOSFETs and diodes. It would be stupid to use an expensive, heavy transformer, and then do PFC in an expensive way! So the obvious solution is to use a switching power supply to make the high voltage, and build the PFC circuit into it.

This switching supply might not even need regulation - after all, the PFC circuit itself delivers pretty well regulated DC, and tube amplifiers usually run from unregulated supplies. So, a very simple and effective, power factor corrected tube amp power supply could consist of an active power factor correction circuit followed by a simple, unregulated upconverter, operating somewhere in the 30 to 100 kHz range, using a MOSFET bridge with a free-running oscillator/driver chip, a compact ferrite core transformer, and a high voltage rectifier made with superfast silicon carbide Schottky rectifiers, followed by a small filter capacitor (less than 1uF is plenty). This technology is available and inexpensive. Digikey, for example, has most of the parts in stock. Only the ferrite cores would have to be ordered elsewhere.

This power supply might weigh 3kg total, would produce much better voltage stability and less ripple than a conventional supply, have near to perfect power factor, and might cost around 150 dollars in parts, which is likely far less than a conventional transformer based supply.

Electronic engineering is the combination of money (for components) and brains. The more you use of either, the less you need of the other.

Manfred

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