SLAC Magnetic Measurements
Date: 06-03-1997
Time: 14:38:45

Project: PEP2INT
Magnet Type: PMSLICE
Magnet Name (Serial #): POINTMAG
Bar Code Number: 
Test Stand: 1
Measurement System: DC100
Operator: zw
Run Number: 3
Comment: pointed magnet sets index pulse

Test Currents
     0.0


                 Harmonics Measurements

Date: 06-03-1997
Time: 14:42:43
Magnet Name: POINTMAG
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   0.00063  0.00000      1.88     0.00  100.0000   0.0072
  2   0.00039  0.00000      3.73     0.01   61.6240   0.0329
  3   0.00019  0.00000      3.77     0.00   29.4404   0.0301
  4   0.00009  0.00000      3.74     0.01   14.4649   0.0235
  5   0.00005  0.00000      3.70     0.01    7.7060   0.0111
  6   0.00003  0.00000      3.65     0.02    4.4468   0.0127
  7   0.00002  0.00000      3.56     0.00    2.7087   0.0119
  8   0.00001  0.00000      3.57     0.02    1.7221   0.0054
  9   0.00001  0.00000      3.58     0.05    1.1389   0.0039
 10   0.00000  0.00000      3.61     0.13    0.7684   0.0134
 11   0.00000  0.00000      3.53     0.06    0.5213   0.0062
 12   0.00000  0.00000      3.50     0.03    0.3640   0.0034
 13   0.00000  0.00000      3.56     0.13    0.2535   0.0110
 14   0.00000  0.00000      3.48     0.03    0.1820   0.0037
 15   0.00000  0.00000      3.58     0.06    0.1277   0.0016
 16   0.00000  0.00000      3.51     0.11    0.0914   0.0036
 17   0.00000  0.00000      3.53     0.10    0.0636   0.0023
 18   0.00000  0.00000      3.37     0.12    0.0466   0.0025
 19   0.00000  0.00000      3.35     0.29    0.0313   0.0027
 20   0.00000  0.00000      3.68     0.18    0.0272   0.0031


           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