Nominal (ie. layout db) Current (at 7 TeV) 5520 A
Nominal Field (at 7 TeV) 3.5 T
Nominal Current (at 7 TeV) 5520 A
Nominal Field (at 7 TeV) 3.5 T
Constants
sepARC = 0.194;
sepIR4 = 0.420;
Dsep4 = 71.901;
lengthMBRB = 9.45 m
lengthMBRS = 9.45 m
Required Angle
AIP4 = ArcTan[(sepIR4 - sepARC)/2/Dsep4]
R0 = 0.0; (not used - below for completeness)
ad3L4 = AIP4*(1 - R0);
ad3R4 = AIP4*(1 - R0);
ad4L4 = AIP4*(1 - R0);
ad4R4 = AIP4*(1 - R0);
Normalized strength
kd3L4 = ad3L4/lengthMBRS = 0.000166307
kd3R4 = ad3R4/lengthMBRS = 0.000166307
kd4L4 = ad4L4/lengthMBRB = 0.000166307
kd4R4 = ad4R4/lengthMBRB = 0.000166307
Required Field
B = kd3L4*7000/.2998 = 3.88309 T
Bdl = B x 9.45 = 36.6952 Tm
Required Current
Transfer Function D3 - MBRS = 0.005991848 Tm/A (from layout database values quoted above)
Transfer Function D4 - MBRB = 0.0059918 Tm/A
current D3 at 7 TeV = Bdl/0.005991848 = 6124.19 A
current D4 at 7 TeV = 6124.24 A
However, if we look at the measured D3 TF provided by Sandor see plot
From a quick look at the plot TF at around 6000A is 0.665 T/kA or 6.251 T.m/kA. This gives us around 5870 A for D3.
From actual measured data D3 TF is around 0.000662406 T/A at 5900 A. This gives us around 5862 A for D3. In agreement.
From actual measured data D4 TF is around 0.000632282 T/Aat 6000 A. This gives us around 6141 A for D4.
ML April 08
