SLAC Magnetic Measurements
Date: 07-03-1997
Time: 08:23:20

Project: PEP2INT
Magnet Type: PMSLICE
Magnet Name (Serial #): B101_1
Bar Code Number: 
Test Stand: 1
Measurement System: DC100
Operator: bd
Run Number: 4
Comment: after potting

Test Currents
     0.0


                 Harmonics Measurements

Date: 07-03-1997
Time: 08:27:19
Magnet Name: B101_1
Run Number: 4


                         FIELD HARMONICS

Magnet Current, Imag =  0  +-  0  A
Harmonics at Rcoil =  .0189973  m
Nmain =  1 

 n     BLn     sigBLn    THspole   sigTH    BLn/BLN sBLn/BLN
       (Tm)     (Tm)      (deg)    (deg)      (%)      (%)  
---  --------+--------  --------+--------  --------+--------
  1   0.00377  0.00000    -89.82     0.00  100.0000   0.0109
  2   0.00001  0.00000    -44.25     0.25    0.1418   0.0012
  3   0.00002  0.00000     32.45     0.02    0.5438   0.0002
  4   0.00000  0.00000    -34.32     0.07    0.0875   0.0005
  5   0.00000  0.00000     13.28     0.06    0.0982   0.0002
  6   0.00000  0.00000      9.77     0.10    0.0555   0.0005
  7   0.00000  0.00000      7.23     0.13    0.0181   0.0008
  8   0.00000  0.00000    -20.74     0.26    0.0090   0.0005
  9   0.00000  0.00000      7.89     0.18    0.0130   0.0006
 10   0.00000  0.00000      0.78     4.68    0.0049   0.0027
 11   0.00000  0.00000      4.71     1.26    0.0030   0.0007
 12   0.00000  0.00000     -4.96    10.06    0.0011   0.0005
 13   0.00000  0.00000     -0.52     7.80    0.0022   0.0005
 14   0.00000  0.00000      6.10    10.92    0.0020   0.0002
 15   0.00000  0.00000      6.90     0.59    0.0011   0.0002
 16   0.00000  0.00000     -9.58     2.29    0.0005   0.0003
 17   0.00000  0.00000      3.23     2.28    0.0011   0.0005
 18   0.00000  0.00000     -0.93     1.06    0.0016   0.0004
 19   0.00000  0.00000     -6.57     0.51    0.0008   0.0003
 20   0.00000  0.00000     -0.49     1.02    0.0020   0.0004


           SUMMARY OF THE CALCULATIONS AND CONVENTIONS USED


Calculation Of BL:
V1 = Nturns * velocity * B * L
   = Nturns * Rcoil * ang_freq * BL
BL = V1 / (Nturns * Rcoil * ang_freq)
For a double coil (for coil bowing correction),
V1 = [(Nturns * Rcoil)1 + (Nturns * Rcoil)2] * ang_freq * BL
BL = V1 / ([(Nturns * Rcoil)1 + (Nturns * Rcoil)2] * ang_freq)
Let CoilConst = [(Nturns * Rcoil)1 + (Nturns * Rcoil)2]^(-1)
BL = CoilConst * V1 / ang_freq


Calculation Of The Harmonics:
Magnitude, harmonic n:
Vn = Nturns * velocity * Bn * L
   = Nturns * Rcoil * ang_freq * (BLn)
BLn = Vn / (Nturns * Rcoil * ang_freq)
Rn = BLn / BL1 = Vn / V1

Phase, harmonic n:
At the coil radius, the radial field as a function of angle is,
BLn(th) = BLn * cos(n*(th - THspole))
The coil voltage Vn(th) = Nturns * velocity * BLn(th)
Vn(th) = Nturns * Rcoil * ang_freq * BLn * cos(n*(th - THspole))
The FFT gives Vn and PhiVn in the formula
Vn(i) = Vn * cos(n*2pi*i/N + PhiVn)
So, Nturns * Rcoil * ang_freq * BLn = Vn
    -n * THspole = PhiVn
Or, BLn = Vn / (Nturns * Rcoil * ang_freq)
    THspole = -PhiVn / n