SLAC Magnetic Measurements
Date: 06-03-1997
Time: 14:09:48

Project: PEP2INT
Magnet Type: PMSLICE
Magnet Name (Serial #): POINTMAG
Bar Code Number: 
Test Stand: 1
Measurement System: DC100
Operator: zw
Run Number: 2
Comment: pointed magnet sets index pulse

Test Currents
     0.0


                 Harmonics Measurements

Date: 06-03-1997
Time: 14:13:46
Magnet Name: POINTMAG
Run Number: 2


                         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     -0.05     0.00  100.0000   0.0205
  2   0.00039  0.00000      1.80     0.01   61.7379   0.0334
  3   0.00019  0.00000      1.86     0.01   29.4986   0.0090
  4   0.00009  0.00000      1.84     0.02   14.5193   0.0046
  5   0.00005  0.00000      1.81     0.02    7.7442   0.0088
  6   0.00003  0.00000      1.77     0.02    4.4600   0.0095
  7   0.00002  0.00000      1.69     0.02    2.7256   0.0029
  8   0.00001  0.00000      1.65     0.04    1.7367   0.0071
  9   0.00001  0.00000      1.63     0.07    1.1620   0.0136
 10   0.00000  0.00000      1.62     0.13    0.7884   0.0231
 11   0.00000  0.00000      1.59     0.06    0.5352   0.0067
 12   0.00000  0.00000      1.60     0.05    0.3691   0.0034
 13   0.00000  0.00000      1.45     0.12    0.2503   0.0135
 14   0.00000  0.00000      1.59     0.03    0.1850   0.0026
 15   0.00000  0.00000      1.65     0.04    0.1337   0.0031
 16   0.00000  0.00000      1.69     0.04    0.0993   0.0027
 17   0.00000  0.00000      1.81     0.24    0.0690   0.0045
 18   0.00000  0.00000      1.52     0.14    0.0506   0.0046
 19   0.00000  0.00000      1.40     0.14    0.0372   0.0017
 20   0.00000  0.00000      1.59     0.14    0.0294   0.0037


           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