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The ITER toroidal field model coil project

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228 A. Ulbricht et al. / Fusion Engineering and Design 73 (2005) 189–327<br />

Fig. 4.29. LCT <strong>coil</strong> and TFMC current ramp up (V1 and I1 LCT <strong>coil</strong> circuit voltage and current, V2 and I2 TFMC circuit voltage and current.<br />

Measured voltages not available).<br />

I(t)=[I1(t)I2(t)I3(t)I4(t)I5(t)] T , the 5 × 1 vector of currents,<br />

representing the currents in the LCT <strong>coil</strong> and<br />

TFMC windings, the eddy currents in the LCT <strong>coil</strong><br />

case, in the TFMC radial plates and in the TFMC case,<br />

respectively; V(t)=[V1(t)V2(t)] T , the vector of the two<br />

forcing voltages of the two winding circuits, L the<br />

inductance matrix and R the resistance matrix, the currents<br />

in the five circuits can be computed by integrating<br />

the following linear differential equation:<br />

L dI(t)<br />

dt<br />

+ RI(t)V (t) (4.1)<br />

<strong>The</strong> method used for the calculation of the inductance<br />

matrix L and resistance matrix R, both 5 × 5, is reported<br />

in Appendix A. <strong>The</strong> resistances of the LCT <strong>coil</strong> and<br />

TFMC windings (i.e., R11 = 250 �� and R22 =50��)<br />

have been validated experimentally and they are mostly<br />

due to the conventional bus bar system external to the<br />

vacuum vessel (i.e., Al bus bar and flexible cables).<br />

<strong>The</strong> computer <strong>model</strong> (developed with SIMULINK)<br />

includes, in addition to the Eq. (4.1), a simplified <strong>model</strong><br />

of the thyristor converters with their current transducers<br />

and current feedback modules (see Appendix A for<br />

more details). <strong>The</strong> <strong>model</strong> computes the power losses

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