Reports until 11:24, Wednesday 01 May 2024
H1 SUS (CDS, ISC)
jeffrey.kissel@LIGO.ORG - posted 11:24, Wednesday 01 May 2024 (77545)
Calibration for QUAD/Triple Top Coil Drivers' FASTIMON (assuming Broadband Monitor Board)
J. Kissel, A. Effler

Executive Summary:

The calibration for all QTOP (D1001782) and TTOP (D1001242) coil driver's FASTIMON channels that are using the frequency-independent "current monitor" circuit of the broadband coil driver monitor circuit (D0902747) is 
    QTOP = 0.0114 [mA/ct] and 
    TTOP = 0.0153 [mA/ct],
respectively with the "[mA]" being current across the coil, and "[ct]" being "straight off the ADC" counts.

Derivation

From the math outlined in the "Other Files" of the older, "broadband" coil driver monitor circuit, D070480 and stitching together how various voltage signals passed around from page to page of the drawings, one can compute the calibration of the FASTIMON channels for a given coil driver as 

    FASTIMON ADC [ct] = voltage measured across two legs worth of output impedance in the coil driver board drawing
                        * ( [differential legs' voltage to single-ended output voltage converter node in the monitor board drawing]
                             * "single-ended voltage piped into only one leg of differential ADC" factor of two its DB25 output J1 in the interconnect drawing
                             * general standards 16-bit differential ADC calibration)
where
           calibration = (the stuff in parentheses)

         ADC [ct]        [                         "R1" [V_SE] ]    2 [V_DF]    2^16 [ct]      
    ----------------   = [ 2 * Z_OUT [V_DF / A] *  ----------- ] *  -------- * ----------- 
    Coil Current [A]     [                         "R2" [V_DF] ]    1 [V_SE]    40 [V_DF]     

where "R1" = R25, R35 = 10e3 [V/A], and "R2" = R24, R27, R29, R33 = 30e3 [V/A].


So, for the QUAD / Triple TOP coil driver (see circuit diagram D0902747 of chassis assemblies QTOP = D1001782 and TTOP = D1001242), that's, the output impedance of one leg is
    Z_OUT   = (R5+R1) || (R90+R91) 
            = (R5+R1) * (R90+R91) / (R5+R1 + R90+R91)

    Z_OUT^(QTOP) = (44 * 440) / (44 + 440) = 40.00 [V/A]
    Z_OUT^(TTOP) = (32 * 440) / (32 + 440) = 29.83 [V/A]
which makes the calibration

calibration_QTOP [ct/A] = 2 * 40.00 [V/A] * (10e3 / 30e3) * 2 * (2^16 / 40 [ct/V])
                        = 8.7381e+04 [ct/A]
      or 87.381 [ct/mA]
      or 0.0114 [mA/ct]

calibration_TTOP [ct/A] = 2 * 29.83 [V/A] * (10e3 / 30e3) * 2 * (2^16 / 40 [ct/V])
                        = 6.5165e+04 [ct/A]
      or 65.165 [ct/mA]
      or 0.0153 [mA/ct]

Q.E.D.