Data Structure

A 14 helices insert with 2 external bitter magnets

The magnets description is given in .d file. The .d file is structured as follows:

1. A header section:

#Power[MW]	Current[A]	Safety Ratio[]	T_ref[°C]	SymetryFlag
12.5	        31000	        0.8	        20		Sym, (1)
#Helices	N_Elem
14		56, (2)
#N   R1[m]      R2[m]      HalfL[m]    Rho[Ohm.m] Alpha[1/K] E_Max[Pa] K[W/(m.K)]   h[W/(m^2.K)] <T_W>[°C] T_Max[°C], (3)
4    1.930e-02	2.420e-02  7.7050e-02  1.992e-08  0.00e+00   3.600e+08 3.800000e+02 8.500000e+04 3.000e+01 1.00e+02
...
4    1.703e-01	1.860e-01  1.6415e-01  2.087e-08  0.00e+00   3.740e+08 3.800000e+02 8.500000e+04 3.000e+01 1.00e+02
0., (4)
#External_Magnets, (5)
0
1 Main parameters

  • Max. electrical power available

  • Nominal Current \(I_o\),

  • Safety ratio requested (ratio between the max. allowed stress and and the actual hoop stress).

  • A reference temperature \(T_{ref}\)

  • A flag to indicate wether or not we consider only half of the polyhelix insert
2 Main polyhelices insert characteristics:

  • \(Helices\), the number of Tubes,

  • the total number of elements for the polyhelices insert (aka \(N*Helices\)) (optional)
3 Description of each helix:

  • \(N\)

  • \(R_1\) inner radius

  • \(R_2\) outer radius

  • HalfL half electrical length

  • The physical properties are given at \(T_{ref}\):

    • \(\rho[Ohm.m]\), resistivity at \(T_{ref}\)

    • \(Alpha[1/K]\),

    • \(K[W/(m.K)]\), thermal conductivity at \(T_{ref}\)

  • Cooling params:

    • \(h[W/(m^2.K)]\),

    • \(<T_W>[°C]\),

  • Max allowed values:

    • \(E_{Max}[Pa]\),

    • \(T_{Max}[°C]\)
4 flag to indicate the end of the polyhelices insert definition
5 Definitions of external magnets, if any

2. External Magnets section

#External_Magnets (1)
6
#Type	R1[m]	R2[m] 	Z1[m]	  Z2[m]	    J(R1)[A/m2]	Rho[Ohm.m]	      Nturn (2)
1	0.2	0.34	-0.29899  -0.14685  44512000	1.7241379310345e-08   23
1	0.2	0.34	-0.14685   0.14685  86222000	1.7241379310345e-08   86
1	0.2	0.34	 0.14685   0.29899  44512000	1.7241379310345e-08   23
...
1 Number of external magnets, providing the background field
2 Definition of external magnet:

  • Type: 1 for Bitter, 0 for Supra

  • \(R_1, R_2, Z_1, Z_2\): dimensions of the rectangular cross section

  • J: current densitiy at \(r=R_1\)

  • \(\rho\)

  • \(N_{turn}\)

3. Resume section:

#Bz(0)[tesla]	Power[MW]	Bz_total(0)[tesla] (1)
2.754479e+01	1.250000e+01	2.754479e+01

  #Helice	B0_H[tesla]	Sum_B0[tesla]	Power_H[MW]	Sum_Power[MW] (2)
  1	       1.836561e+00	1.836561e+00	1.965246e-01	1.965246e-01
  ...
  14	       1.499948e+00	2.754479e+01	1.434240e+00	1.250000e+01
1 Main characteristics:

  • Magnetic Field provided by the polyhelices insert (aka self field),

  • Total electrical power

  • Total Magnetic Field (aka self field + background field)
2 Contribution to the self magnetic field and power per helix

4. Detailed Helix section

  #Helix	<T>[°C]		N_Turn		IACS[%] (1)
  1	9.493052e+01	7.547479e+00	8.654981e+01
  #Elem	J[10^8 A/m2]	Tlim[°C]	Tmax[°C]	<T>[°C]		Elim[MPa]	Emax[MPa]	Pitch[m]	Nturns (2)
  1	3.477121e+00	1.000000e+02	1.000000e+02	9.493052e+01	3.600000e+02	1.803207e+02	2.041741e-02	1.886870e+00
  2	3.477121e+00	1.000000e+02	1.000000e+02	9.493052e+01	3.600000e+02	1.854755e+02	2.041741e-02	1.886870e+00
  3	3.477121e+00	1.000000e+02	1.000000e+02	9.493052e+01	3.600000e+02	1.854755e+02	2.041741e-02	1.886870e+00
  4	3.477121e+00	1.000000e+02	1.000000e+02	9.493052e+01	3.600000e+02	1.803207e+02	2.041741e-02	1.886870e+00

  ....

  #Helix	<T>[°C]		N_Turn		IACS[%]
  14	6.639741e+01	1.766565e+01	8.258438e+01
  #Elem	J[10^8 A/m2]	Tlim[°C]	Tmax[°C]	<T>[°C]		Elim[MPa]	Emax[MPa]	Pitch[m]	Nturns
  1	8.490501e-01	1.000000e+02	5.387475e+01	5.014907e+01	3.740000e+02	-4.681979e-02	2.431188e-02	3.375921e+00
  2	1.372421e+00	1.000000e+02	9.238026e+01	8.264575e+01	3.740000e+02	-1.701580e+00	1.504057e-02	5.456906e+00
  3	1.372421e+00	1.000000e+02	9.238026e+01	8.264575e+01	3.740000e+02	-1.701580e+00	1.504057e-02	5.456906e+00
  4	8.490501e-01	1.000000e+02	5.387475e+01	5.014907e+01	3.740000e+02	-4.681983e-02	2.431188e-02	3.375921e+00

MARGE DE SECURITE CONTRAINTES= 2.000000e+01 %
1 Stats per Helix: mean temperature, number of turns, IACS (ratio of ),
2 Details per element:

  • current densitiy at \(r=R_1\),

  • …​