OPERATION OF ITER OVER A RANGE OF TOROIDAL FIELDS POSES CHALLENGES FOR THE ECH SYSTEM. What can the ECH system do at different toroidal fields?

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OPERATION OF ITER OVER A RANGE OF TOROIDAL FIELDS POSES CHALLENGES FOR THE ECH SYSTEM Operation from the design field of 5.3 T to as low as 3.0 T claimed by ITER team What can the ECH system do at different toroidal fields? Self-consistent equilibria were generated at 5.3, 4.9, 4.5, 3.6, and 3.2 T with constant q-profile (I p =15.4, 14.2, 13.1, 10.4, and 9.3 MA) using TEQ Pressure profile consistent with the equilibrium was generated Pressure profile was scaled with B2 to keep beta constant Density profile was scaled with B to keep n/n GW constant T e +T i scaled with B to keep beta constant TORAY-GA was run for the anticipated steering range for each ECH antenna, using 170 GHz power with beam divergence characteristic of the top launcher

CALCULATION OF ELECTRON CYCLOTRON CURRENT DRIVE FOR ITER The ITER project calls for ECH to heat and ECCD to control the current profile and to control neoclassical tearing modes 4 antenna locations: 3 near the midplane and 1 near the vessel top The performance of the antennas can be well predicted by using ray tracing or beam propagation codes Benchmarking of codes has been carried out under the ITER/ITPA process Similar (but not identical) results are obtained Some codes have been carefully tested against experiment In this study the TORAY-GA code is used to explore the potential uses of the 4 ECH launchers over a range of toroidal magnetic fields using the same equilibrium

APPLICABILITY OF ECCD IN ITER IS STRONGLY AFFECTED BY LOCATION OF RESONANCE Minimum ρ of Resonance 1.0 0.8 0.6 0.4 0.2 ITER Scenario 2; 170 GHz Second Harmonic q = 2 q = 3/2 Fundamental Fundamental resonance intersects q = 2 surface for B T > 4.4 T Second harmonic resonance intersects q = 2 surface for B T < 3.7 T 3.0 3.5 4.0 4.5 B T (T) 5.0 107-04/jy

ITER SCENARIO 2 PRESSURE PROFILE FROM EQUILIBRIUM INCONSISTENT WITH KINETIC DATA Pressure (MPa) 1.0 Pressure (MPa) 0.8 0.6 0.4 0.2 From profile data From equilibrium 0.2 0.4 Density (10 20 /m 3 ) 1.5 ρ 0.6 0.8 1.0 Equilibrium pressure/(t e+ T i) Density (10 20 /m 3 ) 1.0 0.5 From profile data Smoothed; used in these calculations 0.2 0.4 ρ 0.6 0.8 1.0

1 ITER SCENARIO 2 EQUILIBRIUM AT FULL FIELD (5.3T) q = 2 q = 3/2 1 521022 53065.000

CONTOURS OF PEAK j CD (A/cm2/MW) AND PEAK ρ OF j 40 5.3 T 45 α (deg) 50 55 60 65 30 25 20 15 10

CONTOURS OF δρ AND PEAK ρ OF j EC 40 B T = 5.3 T 45 α (deg) 50 55 60 65 30 25 20 15 10

MIDPLANE LAUNCHERS, B T = 5.3 T 25 20 15 10 I EC (ka/mw) TOP MID BOT 4 3 2 j EC (A/cm 2 /MW) 5 1 0 30 0.4 25 20 15 ρ EC 10 5 0 30 0.15 25 20 15 10 δρ EC 5 0.3 0.10 0.2 0.1 5 0 30 25 20 15 10 5 30 25 20 15 10 5

1 ITER SCENARIO 2 SCALED TO 4.5 T q = 2 q = 3/2 1 521022 45065.000

CONTOURS OF PEAK j CD (A/cm2/MW) AND PEAK ρ OF j 40 4.5 T 45 α (deg) 50 55 60 65 30 25 20 15 10

40 CONTOURS OF δρ AND PEAK ρ OF j EC B T = 4.5 T 45 α (deg) 50 55 60 65 30 25 20 15 10

MIDPLANE LAUNCHERS, B T = 4.5 T 40 I EC (ka/mw) 6 j EC (A/cm 2 /MW) 30 20 10 TOP MID BOT 4 2 0.8 0.30 ρ EC 0.6 0.25 0.20 0.4 0.15 0.2 0.10 0.2 0 30 25 30 25 20 0 20 15 10 5 30 25 20 15 10 5 15 10 5 5 δρ EC 0 30 25 20 15 10 5

2 ITER SCENARIO 2, SCALED TO 3.6 T 2 521022 36065.000

MIDPLANE LAUNCHERS, B T = 3.6 T 2 I EC (ka/mw) 0.1 j EC (A/cm 2 /MW) 0 2 0.1 4 0.2 6 30 25 20 15 10 5 0.3 30 25 20 15 10 5 1.0 0.8 ρ EC 0.10 8 δρ EC 0.6 6 0.4 4 0.2 2 30 25 0 20 15 10 5 30 25 20 15 10 5

2 ITER SCENARIO 2 SCALED TO 3.2 T q = 2 q = 3/2 2 521022 32065.000

MIDPLANE LAUNCHERS, B T = 3.2 T 12 10 I EC (ka/mw) 1.2 1.0 j EC (A/cm 2 /MW) 8 0.8 6 0.6 4 0.4 2 0 30 25 20 15 10 5 0.2 30 25 20 15 10 5 0.8 0.6 ρ EC 0.12 0.10 8 δρ EC 0.4 6 0.2 30 25 4 2 0 20 15 10 5 30 25 20 15 10 5

CONCLUSIONS The upper launcher is useful only for B greater than 4.5 T or B less than 2.65 T For 5.3 T > B > 4.5 T, the peak current density and total driven current for the top launcher are not strongly affected over this range For B < 4.5 T, only the midplane launchers will be useful For B ~ 4.0 T, the midplane launch may be effective at driving current on the inboard side although second harmonic absorption may reduce the efficiency; this case not yet examined At 3.6 T the midplane launch is very inefficient due to the cancelling effects of the Fisch-Boozer and the Ohkawa currents At 3.2 T the midplane launch can't reach sufficiently large minor radius to be useful for driving current at q=2 surface (ρ=0.77) For B ~ 3.4 T there may be an island of effectiveness for 2/1 NTM suppression Planned launchers may be effective at driving localized currents near the q=2 surface for B > 4.5 T or B ~ 4.0 T or B ~ 3.4 T or B < 2.65 T