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Message ID: 7148     Entry time: Fri Aug 10 18:11:55 2012
Author: Yaakov 
Type: Update 
Category: STACIS 
Subject: Corrected noise budget, plan for external actuation 

I hope you're not all tired of the STACIs noise budgets, because I have another one! Here, the main difference is my modeling of the geophone sensitivity according to a predicted physical model for the system (just a damped oscillator) instead of trying to fit it to the accelerometer motion signal with more arbitrary functions.

The result of this calibration is shown below (accel and geo signals taken for 5 minutes at the same time, in granite and foam):

sensor_comp.pngsensor_comp.fig

The m/s/V sensitivity function I am using is g*[(w^2-2idww(0)-w(0)^2)/w^2], where g (the high freq. m/s/V sensitivity) was 2.5*10^-5 and d (damping) was set to 2.

Now, the recalculated noise plot looks like this:

noise_budget_8-10.pngnoise_budget_8-10.fig

The accel. specs I took from the Wilcoxon spec sheet, and the geo specs I found in https://dcc.ligo.org/public/0028/T950046/000/T950046-00.pdf, a LIGO document about the STACIS. The geo noise was measured for the STACIS geo and their pre-amp, while I was using the SR560 as the pre-amp. If anything, my noise should be lower, since the SR560 noise spec is lower than what I estimated for the STACIS geophone pre-amp, so I'm not sure about that order of magnitude difference between the experimental and expected geo noise. A sign that my noise values are at least reasonable is that the geophone noise flattens out above the geophone's resonant frequency (4.5 Hz), as Jan pointed out it should.

The sensor noise (either accel. or geo.) is the dominating signal below 1 Hz in the STACIS platform measurement, which then limits the closed loop performance at those frequencies. Since the noises I am finding are looking reasonable, I think it's fair to definitively state that accelerometers will not significantly help at low frequencies (there may be at most a factor of 2 lower noise below 1 Hz for the accel., but I need more data to say for sure).

The plan right now is to concentrate on using the STACIS as actuators, perhaps with seismometers on the ground and a feedforward signal sent into the high voltage amplifier.

I took the transfer function of the high voltage board itself (no pre-amp included) by driving the PZTs with a swept sine and measuring the accelerometer response (which I am now fairly confident is calibrated correctly). The input point was the signal IN on the extender board, but with the geophones disconnected from the pre-amp.

hv_bode.pnghv_bode.fig

I took the coherence at just a few single frequencies (you can't do coherence measurements in swept sine mode on the SR785) to make sure I was really driving the PZTs, and it was near 1 (998, 999.9, etc) at the frequencies at which I drove. Without the extra notches at 1 Hz (which may be real, it's coherent there too), it looks like a 2-pole high pass filter (goes from -180 to 180 deg, approx. an f^2 dependence). This transfer function should be taken into account by the feedforward algorithm.

The current plan is to make a box with a switch that allows geophone feedback and/or external signals into the high voltage amplifier. It would act sort of like the extender card, except more compact so it could fit into the STACIS. It also would have the advantage of not having to reroute the power, since those lines from the pre-amp could all still be connected (see eLog 7118: http://nodus.ligo.caltech.edu:8080/40m/7118).

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