SLAC Magnetic Measurements
Date: 06-20-1997
Time: 10:25:40

Project: PEP2INT
Magnet Type: PMSLICE
Magnet Name (Serial #): 101_1
Bar Code Number: 
Test Stand: 1
Measurement System: DC100
Operator: bd
Run Number: 3
Comment: after split, before potting

Test Currents
     0.0


                 Harmonics Measurements

Date: 06-20-1997
Time: 10:29:39
Magnet Name: 101_1
Run Number: 3


                         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    -90.20     0.00  100.0000   0.0207
  2   0.00001  0.00000    -45.07     0.42    0.1548   0.0011
  3   0.00002  0.00000     32.15     0.01    0.5413   0.0008
  4   0.00000  0.00000    -34.22     0.12    0.0914   0.0004
  5   0.00000  0.00000     12.79     0.07    0.0963   0.0005
  6   0.00000  0.00000      9.13     0.10    0.0542   0.0002
  7   0.00000  0.00000      6.95     0.17    0.0173   0.0007
  8   0.00000  0.00000    -21.34     0.31    0.0092   0.0004
  9   0.00000  0.00000      7.69     0.55    0.0133   0.0003
 10   0.00000  0.00000      1.52     4.69    0.0044   0.0014
 11   0.00000  0.00000      5.04     2.39    0.0028   0.0002
 12   0.00000  0.00000     10.54     1.27    0.0013   0.0005
 13   0.00000  0.00000      0.91     5.19    0.0010   0.0002
 14   0.00000  0.00000      5.48    10.57    0.0021   0.0002
 15   0.00000  0.00000      6.19     0.79    0.0007   0.0002
 16   0.00000  0.00000      2.83     8.67    0.0005   0.0002
 17   0.00000  0.00000      4.08     4.68    0.0007   0.0003
 18   0.00000  0.00000      0.91     0.94    0.0012   0.0004
 19   0.00000  0.00000      1.81     3.99    0.0008   0.0003
 20   0.00000  0.00000     -0.79     0.84    0.0014   0.0002


           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