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Software, Windows, Mac OSX
DDMF phi-L Audio Tube Preamp v2.0.2 x64 x86 VST VST3 AU AAX WiN MAC [FREE] screenshot
FREE | 04 May 2021 | 40 MB
What is it?
This tube preamp emulation has been developed Philipp Bulling as a thesis work. Philipp has been offering the plugin in VST format for some time on his own website. He has now moved on to new areas for some time already but didn’t want to let down his users. Hence, DDMF took over the code and will continue to offer the plugin as freeware, with the intent to further improve it and maybe add some more bells and whistles in the future.

The plugin is very unique in the sense that it gives you full control over all aspects of the modelled circuit. All values of all the capacitors, resistors etc. can be tuned by the user. Here is what Philipp had written on the original page.

Abstract
Since the sound of an analogue tube amplifier has always exerted a strong fascination, electrical circuits with tubes play a certain role in the world of audio engineering up to now. On the other hand, audio technology becomes more and more digitised. In many cases, digital models emulate real devices in such a way that differences in sound are hardly audible. In this work a model is developed which is able to emulate the typical sound of a tube amplifier on digital devices. Here the main focus is on preamplifiers with triodes, since they have a particular influence to the sound.

Based on the physical properties of real tubes, a tube model is developed first. This mathematical model includes results of theoretical studies as well as analysis of data sheets. The model is then used to implement an entire amplifier circuit. In addition to the tube itself amplifier circuits contain several passive elements. In the domain of digital signal processing the latter are described by finite difference equations, which are solved recursively.

The resulting algorithm is finally implemented as an audio plugin in order to examine its tonal properties. The behavior of the digital model corresponds satisfactorily to real amplifier circuits. Important sound effects of analogue tube amplifiers can also be attested to the digital model.

Diode model
The first step was to develop a triode model, based on the characteristic curves of real tubes. In theory, the characteristic curve of a vacuum tube is described by Langmuir-Child’s law. However, it was quickly realised that compared to real tubes, this law is not accurate enough. So a new model has been developed. This model describes a triode as a mathematical function. With the model, it is possible to compute the plate voltage (Upc) as a function of the grid voltage (Ugc), depending on the working resistor (Ra) and the supply voltage (Ub).

The following graph shows this function for a 12AU7 triode with Ra = 10k and Ub = 250V:
DDMF phi-L Audio Tube Preamp v2.0.2 x64 x86 VST VST3 AU AAX WiN MAC [FREE] screenshot

Circuit modeling
Based on this model, a plate follower stage was implemented.
DDMF phi-L Audio Tube Preamp v2.0.2 x64 x86 VST VST3 AU AAX WiN MAC [FREE] screenshot

Cathode biasing
In this circuit, cathode biasing is used to adjust the bias point of the tube. This is realised by a resistor (Rc) and a capacitor (Cc), placed between the cathode and ground. The effect of cathode biasing can then be modeled by a simple first order RC low pass filter, with Ic*Rc being the input of the filter, and the cathode voltage (Uc) being the output.

If the input signal jumps for example from 0 V to 5 V, the cathode voltage follows quite similar to the step response of a RC-low pass filter:
DDMF phi-L Audio Tube Preamp v2.0.2 x64 x86 VST VST3 AU AAX WiN MAC [FREE] screenshot

Signal limiting
There are two reasons for signal clipping in this circuit. The first one is caused by the tube itself. If there is a high peak at the negative half-wave of the input signal, the tube can’t amplify the signal anymore since the flow of current is completely cut-off. Thus, the positive half-wave of the output is clipped. This effect can be intensified by a more negative bias point.

Here the bias point of an 12AU7 is at around -12 V:
DDMF phi-L Audio Tube Preamp v2.0.2 x64 x86 VST VST3 AU AAX WiN MAC [FREE] screenshot
The second reason for clipping is caused by grid current. High peaks of the positive half-wave of the input signal make the grid voltage positive compared to the cathode voltage. In this case electrons are attracted by the grid. The grid current causes a voltage drop at the internal resistance of the previous stage, which limits the input signal. The following figure shows the effect. The grid voltage is obtained by shifting down the input signal (Uin) by the cathode voltage (Uc). In the upper picture the maximum grid voltage (Ugc) is ~ 0 V compared to the cathode. Hence, there is no grid current. In the lower picture the input signal has an amplitude of 10 V. At the positive peaks of the input signal the grid voltage rises above 0 V (compared to the cathode). The grid current begins to flow and clips the grid voltage.
[img]https://audioz.download/uploads/posts/2021-05/1620147231_grid-current-effect.jpg[/thumb]

Block diagram
The block diagram of the algorithm that implements one single preamp stage, is displayed in the picture below.
DDMF phi-L Audio Tube Preamp v2.0.2 x64 x86 VST VST3 AU AAX WiN MAC [FREE] screenshot

The plugin
Finally, two plate follower stages connected in series were implemented as a VST plugin. The following figure shows input and output of the algorithm:
DDMF phi-L Audio Tube Preamp v2.0.2 x64 x86 VST VST3 AU AAX WiN MAC [FREE] screenshot

The input signal (green) has an amplitude of 1 V. The first stage amplifies the signal almost linear (red). Since the input amplitude of the second stage is already very high, this stage is no longer able to amplify the signal linear. As a consequence, there are strong distortions in the output signal caused by tube cut-off and grid current (blue).

The distortions can also be seen in the FFT spectrum:


To get a constant amplification factor in the digital domain, the plugin has a drive and a gain knob:



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comments

  Resident 2.11.2014 2498 11782
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  Resident 5.12.2012 816 21279
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  Contributor 26.11.2019 60 270
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  Member 29.11.2020 29 2559
+2636
wow so cool! can adjust the component value
It makes no sense to say you’re not good at it. It’s like saying, “I’m not good at being a monk.” You are either living as a monk or you’re not.
  Resident 4.05.2011 950
+399
They could change the name from phi-L to R/abbit-Hole
Music is always a commentary on society.
Frank Zappa
  Member 28.02.2020 15 309
+453
Thanks a lot
  Member 23.02.2016 1 205
+52
Be careful: this little guy can cause enormous volume spikes. Use a limiter or auto-mute tool on the master bus and use moderate volume on your active speakers / stereo amp. Otherwise you might hurt your speakers and even your hearing!
  Resident 17.02.2014 9 845
+557
No spikes for me instead. However this version has 2 bugs: the bypass doesn't work, the input current selector doesn't work because it stops at 200 V, while it should go up, over 250 V. I go back to the previous version, the original 2.0.1 of Phi-L which instead works very well. From the results of my null-tests, the two versions are identical, the only difference is that this 2.0.2 is marked DDMF and has 2 bugs. A real bargain ...
Anomaly is Something Which Deviates From the Standard or Expected;
It's an Irregularity Which May be Difficult to Explain Using Existing Rules or Theory
  Banned 26.01.2019 15 1319
+1332
Good to know, thanks.
Yet, first AU version.
The Clavichord is from the Late Middle Ages. It's not a Clavinet.

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