40m QIL Cryo_Lab CTN SUS_Lab TCS_Lab OMC_Lab CRIME_Lab FEA ENG_Labs OptContFac Mariner WBEEShop
  40m Log  Not logged in ELOG logo
Message ID: 8474     Entry time: Mon Apr 22 20:17:05 2013
Author: Charles 
Type: Update 
Category: ISS 
Subject: New Servo w/switching filters 


In my previous post here, a new servo design was discussed. Although the exact design used will depend on the particular noise requirements for the 40m and the Bridge Labs (requirements will be considered separately for each application), I still have to yet to see those formalized. Despite this, I have been simulating an example servo circuit with three switchable stages. The design can be found at: New Servo.

Essentially, this circuit consists of three unity gain buffers that can be switched into different filtering states. Attached is a plot of the transfer function of this particular circuit with successive stages turned on. The curve (0) corresponds to all of the filters being switched off, so the total behavior is that of a unity gain buffer. The curve (1) corresponds to the first stage being turned on with the 2nd and 3rd still acting as unity gain buffers. This first state has a gain of ~80 dB at DC and a pole at ~10 Hz which sets the unity gain crossing at ~100 kHz. The curves (2) and (3) correspond to the second and third stage being turned on, respectively. Each of these stages has a pole at DC (i.e. ~infinite gain) and a zero at 10^4 Hz. For f > 10^4 Hz, these stages have gain ~ 1, as we can see in the transfer function below.

I have also performed some noise analysis of this circuit. Attached are a few plots produced by LISO showing the resistor and op-amp noise separately (it was too cluttered on one plot) at the output node of the servo. Both of these plots have a "Sum Noise" trace, which is the sum for every circuit element and is thus identical between plots. The third noise spectrum included is simply the noise at the output referenced to the input with the previously computed transfer function. I'm not sure if there is a simple method embedded in LISO to reference the noise at the output node to the input, but it should be as simple as numerically dividing the noise spectrum by the transfer function between input and output. 

Next, I will be attempting time-dependent simulations of this simple circuit using delayed switches instead of manually controlled ones.

Attachment 1: Servo_v0.1.png  79 kB  | Hide | Hide all
Attachment 2: Example_Filter_-_Transfer_Function_(mag).png  34 kB  | Hide | Hide all
Attachment 3: Example_Filter_-_Transfer_Function_(phase_in_final_state_only).png  17 kB  | Hide | Hide all
Attachment 4: New_Servo_-_Op-Amp_Noise.jpg  87 kB  | Hide | Hide all
Attachment 5: New_Servo_-_Resistor_Noise.jpg  92 kB  | Hide | Hide all
Attachment 6: New_Servo_-_Total_Noise_Input-Referenced.png  29 kB  | Hide | Hide all
ELOG V3.1.3-