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Interstage Sonic Feedback Thru the Power Supply

In almost every component designed and built that I have seen, there exists an insidious form of feed back that is frequency dependent, and with varying degrees of phase shifting. This occurs with more than one stage and common power supply. RCA Radiotron Designers Handbook, 4th edition, saw this problem in the 40s, but I am sure it was apparent much earlier. With different signals and different phases, from the fundamental signal, one can see it being a serious problem unless the proper precautions are taken? This is just another form of distortion that must be dealt with.

How serious is the problem? Well, if a power cord makes a sonic difference even before the power transformer and well away from the direct signal path, and filter capacitors, resistors, chokes etc change the sonics closer to the direct signal path, imagine how the music is mucked up when frequency dependent feedback, with changing amplitude and phase are involved, is at the door step, right next to the "direct signal path".

Let's analyze some examples.

First, let's check out a simple circuit (fig. 5) and see what we can discern. (We will only address tube circuits although solid state designs are similar.)

Fig. 5 is a typical capactively coupled tube stage. From our previous article ,"Power Supplies and Capacitors"), C1 should theoritically be 0 ohms impedance at all frequencies. However, in practice this isn't true. As a general rule, the signal voltage present at capacitor C1 is dependent on:

Let's make C1 a low 10uf, and R1 15k ohms. At 20hz, with a 90 volt peak to peak (p-p) signal at the plate of V1 (enough to drive a typical output tube, left picture below). There will be approximately 4.5 volts p-p at C1 (right picture below), but shifted nearly 90 degrees compared to the signal at the plate of V1 (left picture below).



Below are other values of C1, test frequencies, and voltages. Notice the near 90 degree phase shift at 20hz.
Capacitance of C1          Frequency           Voltage P-P at C1       Phase Shifts

10uf			           20                     4.5 volts      Lagging nearly 90 degrees
20uf                          20                     2.3                      " 	  
40uf		                 20                     1.15	                     "	  
100uf                         20                      .465		        "	  

Even with C1 at 100uf and R1 of 15k, some .465 volts appears at C1 at 20hz, which is only approximately 46db down from the 90 volts present on the plate of V1. As mentioned above, the resistance of R1 also determines the signal voltage present at C1 as follows:

Resistance of R1         Voltage P-P at C1

1.5k			       20       (gain of tube lowered by low value of R1, plate resistor)
15K			        2.3
150k		               .24
Typical 20hz signals at C1 (I have seen in some tube designs) range from only -21 to --45db range below the reference at the plate of tube V1, which is very poor. Increasing the frequency an octave accounts for only an approximate 6db reduction of this signal at C1. As we shall see in a moment, this will interact with the previous stages.

Let's look at some typical 2 stage designs in fig. 6 and fig. 7:



Fig. 6 adds another gain stage, and is typical in many designs I have seen. Feedback is occurring between V2 and V1, thru R1 and R3, with C1 the imperfect signal grounding component. In otherwards, low frequency signals (with large phase shifts) from both tubes are measurable at C1. From there, each tube's signal reaches the other's tube plate via the RL of that tube.

If we have 90 volt signal on the plate of V2, we know the signal of C1 (with 40uf capacitor) is 1.15 volts. Let's make the plate resistance (Rp) of both V1 and V2 a low 3k ohms. The voltage reaching the plate of V1 is approx 0.1916 volts. Let's say the gain of V2 is 10 times or 20db gain. That means we have 9 volts on the plate of V1. So the feedback voltage, 0.1916 volts, is approx 33db down from the fundamental, 9 volts. Visa Vera, the low frequency voltage from V1 to V2 is approx 73db down. So "feedback" occurs both ways.

On a side note, if we make C1 a typical electrolytic capacitor and continue to increase its uf size, the feedback will lessen as the frequency increases until the capacitor reaches resonance, which may be as low as 5khz. Above the resonant frequency, the capacitor becomes inductive and its reactance again rises, thus again increasing the feedback, but this time at high frequencies.





Fig. 7 adds an RC combination to the power supply circuit and adds, typically, another 10-30db of isolation, so maybe between 45-75db of isolation total. We also increase the phase shift of the feedback signal. Now it is possible at some low frequency to have up to 180 degrees of phase shift.

Replacing R4 with an inductor can actually worsen the feedback condition at low frequencies. This is because the reactance is low at low frequencies, often lower than using a resistor. It also changes the phase shift pattern and also creates a resonant circuit at some X frequency.





Figure 8 uses a cathode follower at V2, and gives a few more db of isolation. Again we have two signals, the first being the fundamental signal at the cathode of V2 originating from its grid, in phase with the plate signal of V1. The second from V1s plate through R1 to C1, through the filter R4, C4(dependent on value of resistor and reactance of C4) and that signal mixes with the fundamentald via the voltage divider Rp/ R2 (cathode resistor is usually super small vs Rp) but with a substantial phase shift. This destructive signal, originating across C4 is now between 90 and 180 degree shifted from the main signal, depending on the frequency. But feedback is still occurring even at midband. So although the feedback signal maybe up 70db down (could be less), its phase varies from the fundamental signal from near 0 degrees at mid band frequencies to a possible 180 degrees near 20hz vs the fundamental signal.

What if in Fig. 6 and/or Fig. 7, V2 is an output tube with R3 replaced by a typical audio output transformer. The interaction between V2 and V1 will be tremendous as the signal voltage of the output tube may be typically 250 to 500 hundred volts p-p, and already with phase shifting in the bass region. In multiple stage amps using these types of power supplies, we will see feedback to every previous stage of the amp, unless some extraordinary precautions are taken..

I hope you see how much of a problem the power supply can be. It not only supplies pure DC voltages to each stage, but also should eliminate incoming interference, and eliminate "hidden" frequency dependent feedback between stages.

This article was meant for the general audience, in simple language.


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