Abstract. G.D. Garstka 47 th APS-DPP Denver October 27, Pegasus Toroidal Experiment University of Wisconsin-Madison

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Abstract The PEGASUS Toroidal Experiment provides an attractive opportunity for investigating the physics and implementation of electron Bernstein wave (EBW) heating and current drive in an overdense ST plasma. The toroidal field of 7-0.15 T on axis provides fundamental resonant absorption of 2.45 GHz waves. The new plasma control system will provide a stable plasma edge to support resilient EBW coupling; initial tests will focus on the O-X-B mode conversion scenario. Experiments with up to 1 MW of rf power will address fundamental issues concerning EBWs in ST experiments. These include edge coupling, nonlinear effects (such as parametric instabilities) at the edge, ray propagation, deposition locations, and current drive efficiency, which may be as large as 60 ka/mw at high Te. The proposed hardware is made up in large part of pieces from the PLT lower hybrid system. These include two 450 kw klystrons and associated systems, recirculators, and power transmission equipment. Work supported by U.S. D.O.E. Grant DE-FG02-96ER54375 and U.S. D.O.E. Contract DE-AC02-76CH03073.

PEGASUS provides an attractive opportunity to study EBW physics Electron Bernstein waves potentially useful for heating and current drive - propagate in overdense plasmas where EC waves cutoff useful in STs, RFPs, stellarators, etc. - larger devices pursuing research (NSTX & MAST particularly) Moderate size high-power experiments tractable - Magnetic field good match for existing 2.45 GHz hardware - 1 MW rf power = ohmic input power - relatively simple hardware can be used (antennas, waveguide, etc.) - machine is highly accessible for intensive campaigns Flexibility/controllability interesting and useful experiments can be done - robust, high-beta plasmas available as targets - plasma control system will provide stable edge (Bongard et al., this session) - advanced diagnostics coming online Thomson scattering (Battaglia et al., this session) SXR q-profile measurements 2D HXR imaging Experiments to be pursued in support of larger NSTX effort - significant scientific and engineering involvement from PPPL - loan of 2.45 GHz hardware and sources from PLT

The planned experiments address several issues Coupling - validation of predicted coupling window - studies of nonlinear instabilities - demonstration of mode conversion at significant power via O-X-B and X-B Propagation and damping - validation of raytracing models - demonstration of local heating - study synergism between heating and current drive - measurements of Fisch-Boozer current drive efficiency - possible investigation of Ohkawa current drive ECH-only pressure-driven startup - form plasma by ECH in mirror field - similar to work on CDX, TST-2

Mode conversion layer located well outside last closed flux surface Low rf frequency puts UH layer in low density region - 2.45 GHz n e < 7.4x1016 m-3 SOL density profile not measured yet - strongly pumping walls may have significant effect on edge density & EBW coupling - will study scrape-off n e with multi-tipped probe 1.0 0.5 Flux Plot & Resonances 2.45 GHz Resonances Cyclotron UH Layer Case 1 UH Layer Case 2 Local limiters likely required around antenna Model edge densities 10 19 10 18 Case 1 L n =3.7 cm Case 2 L n =1.9 cm -0.5 10 17 10 16 0.80 0.85 0.90 0.95 1.00-1.0 R (m) 0.6 0.8 1.0 R(m)

Mode conversion window modeled to guide system design Fiducial equilibrium established for modeling A Two points chosen to reflect possible conditions - A: well into SOL, shallow n, Te=5 ev + using only machine limiters B - B: at LCFS, steep n, Te = 10 ev + with local antenna limiters Further modeling with measured density profiles and realistic neutral profiles required

Conversion window strongly dependent on local L n 1.0 0.8 0.6 - - -0.6-0.8 OPTIPOL calculations of coupling window (M. Carter, ORNL) T=20% 40% 60% 80% 1.2 1.0 0.8 0.6 - - -0.6-0.8-1.0-1.0-0.8-0.6 - - 0.6 0.8 1.0 N poloidal Location A: O-X-B dominant Ln = 2.9 cm -1.0-1.0-0.8-0.6 - - 0.6 0.8 1.0 N poloidal Location B: X-B dominant Ln = cm

Resonance locations exist over entire minor radius Fundamental Cyclotron Resonances 2.45 GHz S-band radiation a good match to Pegasus magnetic fields Controllable deposition location provides tools for experiments: - testing of ray propagation calculations - current drive tests - modification of mode conversion location TF Current (ka) 90 120 150 180 210 240 Toroidal field variable on 4 ms timescale - shorter than projected 10 ms rf pulse

Ray propagation changes as B φ /B θ is varied Similar equilibria generated with varying I tf - I p = 150 ka; shape, W, l i, profiles held constant Flux Plot & Ray Propagation (GENRAY) As I p /I tf varied, n variations more pronounced - n upshift can be large (>10) - implications for directional CD? Wave damping observed at Doppler-broadened cyclotron resonances 15 10 5 Power Deposition (CQL3D) Itf=90 ka 120 ka 150 ka Launched Rays (Color code matches graph) 0 0.1 ρ 0.3 0.5

Nonlinear effects will be important Ponderomotive and parametric effects can be observed - oscillatory velocity of electrons in rf field: v o eemax/meω - ponderomotive effect reduces density in beam destabilized if v o >~ v t,e - parametric instability couples power at UHR to LH waves destabilized if (v o /v t,e ) 2 >~ 0.1 recently observed on MAST At high power, instability thresholds easily exceeded - model T e profile - WR340 waveguide antenna - even 100 kw excites both instabilities Raises interesting physics issues - modification of density at UHR - changes in ray propagation - power losses to LH waves - will address as part of physics campaign 300 250 200 150 100 50 Ponderomotive Threshold Parametric Threshold Model T e P inj =1 MW 0.6 ρ = 100 kw = 10 kw 0.8 1.0 100 10 1 0.1 1 01 1.2

Antenna placement optimization 0.6 Need optimal placement of launch antenna - maximize driven current requires deposition near axis - flexibility in deposition location - far-off-axis antenna required? new vacuum port would be needed - - Scans of poloidal launch angle conducted: - I p = 150 ka - I tf = 90-150 ka - A = 1.13, R = m - Poloidal launch angle = 10-75 -0.6 0.1 0.3 0.5 0.7 R (m)

Heating and CD maximized around 15-25 degrees poloidal launch angle This angle results in near-axis deposition - low n higher n at larger θ results in larger Doppler broadening - maximized CD due to higher T e Midplane port can be used for launcher 0.6 20 40 Itf= 90 ka 120 ka 150 ka 60 Poloidal Angle (Degrees) 80 30 25 20 15 10 I tf =90 ka 120 ka 150 ka 4 3 2 I tf =90 ka case θ=15 o 35 o 55 o 75 o 5 0 1-5 0 20 40 60 Poloidal Angle (Degrees) 80 0 ρ 0.6 0.8 1.0

Current drive efficiency dependent on deposition location Efficiency highest when deposition near magnetic axis - Te largest on axis - as expected from Fisch-Boozer 5 Dimensionless CD efficiency shows reduced efficacy of off-axis CD - Defined as (Luce et al.): ξ EBW = 3.27 I EBWCD (A)R(m)n e (1019 m 3 ) T e (kev)p(w) - effects of trapped particles visible in dimensionless scaling 0 0.15 0.10 5 0 - some evidence of Ohkawa CD at large ρ -5 0.1 0.3 0.5 0.6 0.7 For optimal current drive, deposition must be near axis ρ of Deposition

Auxiliary heating may increase current drive efficiency Current drive efficiency nominally proportional to T e /n e - Modeling confirms for Fisch-Boozer CD in PEGASUS Multiple auxiliary heating systems are available - 1 MW HHFW system provides bulk electron heating up to 200 kw injected to date improved edge position control will allow coupling to full 1 MW - EBW also heats electrons locally heating not included in current drive calculations 500 ka coupled power is comparable to ohmic heating 1.2 1.0 0.8 0.6 100 80 60 40 20 0 0 Constant Pressure CD Scan n e (x10 19 m -3 ) 8 4 2 I tf =90 ka 120 ka 150 ka 200 T e (ev) 400 Experimental evidence for HHFW heating rf on rf off 600-10 15 20 25 Time (ms) 300 200 100 0

Conceptual heating system design Most components are parts of PLT lower hybrid system Klystron power supplies available from ORNL and LANL Up to 3 MVA Series Modulator Regulator 62 kv @ 15A 500 kw @ 2.45 GHz Waveguide Switch Grounding Switch EBW Launch Antenna Driver Klystron Ferrite Circulator 500 kw Dummy Load 5 kw Dummy Load Alumina Vacuum Window

Conceptual antenna design requires single waveguide Bellows feedthrough gives 15 steerability toroidally and poloidally - radial positioning also possible Local limiters will be required to control n e and L n - keep plasma out of waveguide to minimize impaction Further modeling and measurements required to refine the design 2 Top View Side View

Hardware to be shipped from PPPL to UW 500 kw Klystron Dummy Load Klystron Cabinet Recirculator and Waveguide Klystron Output 47th APS-DPP Denver

Proposed implementation schedule Task Time 2006 2007 2008 2009 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Acquire Major Hardware System Design/Install Edge Plasma Measurements Hardware Integration Launcher Design Low Power Tests High-Power Physics Studies

Summary Pegasus is a good testbed for high-power EBW experiments - frequency match with available 2.45 GHz heating system - PCS and advanced diagnostics for sophisticated experiments - moderate size and plentiful runtime Research is a collaborative effort in support of NSTX - formal agreement with PPPL Spring 2005 - additional help from ORNL, LANL Modeling has begun to frame relevant issues - coupling OXB coupling likely requires local limiters to set L n significant ponderomotive & parametric effects likely - propagation and damping midplane antenna acceptable deposition locations available across minor radius dominant CD mechanism is Fisch-Boozer Implementation begins soon (pending funding) - modeling continues - PLT lower hybrid system dismantling & shipping late 2005/early 2006 - edge plasma characterization next year - first heating experiments 2008

GDG Titlestrip Abstract MC Layer TF Match Angle Scan Raytracing System Schematic Photos Why EBW on Peg? MC Setup TF Scan Angle Scan Results Antenna Concept Schedule Issues to address Optipol Nonlinear Effects CD Fisch- Boozer Heating increases CD Summary