For WIEN oscillators (see the figure) it is common practice to use the gain stage for limiting the amplitudes before supply voltages can cause hard clipping (and heavy distortions). Amplitudes are continuously rising because during the start-up period the loop gain must be larger than the theoretical value of 0dB. For this purpose the resistors are chosen as RB=(RB1+RB2)>2RA.
Hence, the start-up loop gain is LG>0 dB. Then we can use, for example, 2 anti-parallel diodes in parallel to RB2 to bring the loop gain back to the nominal value for rising amplitudes. This principle is in common practical use.
However, there is another alternative to start with LG>0 db and to reduce the loop gain LG for rising amplitudes: R1=(R11+R12)>R2 (ideal gain stage with RB=2RA).
Such a modification will cause a small mismatch (mistuning) within the WIEN network - but during start-up the loop gain is slightly increased above 0 dB and the phase cross-over will be slightly reduced. As a consequence, we can expect a safe start of oscillations at a slightly reduced oscillation frequency.
However, we also can expect that a pair of diodes across R12 will bring the loop gain and the oscillation frequency for rising amplitudes back to the nominal case.
The most important question is: In which case are the distortions larger? Due to the diodes soft-limiting effects (case 1 ) or due to phase/frequency shifts for rising amplitudes (case 2)?
Circuit simulation (see figure): For a fair comparison, equal resistors were selected in both cases.
* Case 1: R11=R12=5k; two diodes across RB2=6.8k.
* Case 2: RB1=RB2=5k; two diodes across R12=6.8k.
Results:
* Case 1: AC analysis: Loop gain LG=+1 dB at fo=1kHz.
TRAN analysis: f=990 Hz, amplitude 1.5V, THD=6.2%.
* Case 2: AC analysis: Loop gain LG=+0.45dB dB at fo=920.6 Hz.
TRAN analysis: f=990 Hz, amplitude 3.0V, THD=2.82%.
Evaluation: Equal oscillation frequencies in both cases, but much better THD (at higher amplitudes) for case 2.
So - contrary to the existing design hints, we also should consider non-linear elements for amplitude control purposes in the frequency-selective part of the circuit. This should apply also to other non-linear mechanisms (FET as a resitor, tungsten lamp, NTC,..).
Question to all: Has anybody seen such an amplitude control scheme already somewhere?