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Plasma shaping

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temperature and potential (among other quantities) to be equal to that of the limiter. Plasma that escaped the LCFS would do so with no preferential direction, potentially damaging instruments. By establishing an X-point and separatrix, the plasma edge is uncoupled from the vessel walls, and exhausted heat and plasma particles are preferentially diverted towards a known region of the vessel near the X-point.
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During the 1960s a number of different methods were used to try to address these problems. Generally they used a combination of several magnetic fields to cause the net magnetic field inside the device to be twisted into a helix. Ions and electrons following these lines found themselves moving to the
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that intersects with the X-point is called the separatrix, and, as all flux surfaces external to this surface are unconfined, the separatrix defines the last closed flux surface (LCFS). Formerly, the LCFS was established by inserting a material limiter into the plasma, which fixed the plasma
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In the 1980s, further research along these lines demonstrated that further advances were possible by using external current-carrying coils to make the lines not just helical, but non-symmetric as well. This led to a series of experiments using C and D-shaped plasma volumes..
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By increasing the current in one (or more) shaping coils to a high enough degree, one (or more) 'X-points' can be created. An X-point is defined as a point in space at which the poloidal field has zero magnitude. The magnetic
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travel around the torus at high velocities. However, as the circumference of a path on the outside of the plasma area is longer than one on the inside, this caused several effects that disrupted the stability of the plasma.
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Early fusion reactor designs tended to have circular cross-sections simply because they were easy to design and understand. Generally, fusion machines using a toroidal layout, like the
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In the simple case of a plasma with up-down symmetry, the plasma cross-section is defined using a combination of four parameters:
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is the study of the plasma shape in such devices, and is particularly important for next step fusion devices such as
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inside and then outside of the plasma, mixing it and suppressing some of the most obvious instabilities.
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the angle between the horizontal and the plasma last closed flux surface (LCFS) at the high field side.
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The negative triangularity tokamak: Stability limits and prospects as a fusion energy system. Medvedev
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In general (no up-down symmetry), there can be an upper-triangularity, and a lower-triangularity.
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The negative triangularity tokamak: stability limits and prospects as a fusion energy system
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devices, and therefore one can completely define the shape of the plasma by its
425: 390: 364: 194: 153: 370: 173: 141: 318:, defined as the horizontal distance between the plasma major radius 32: 176:, arrange their magnetic fields so the ions and electrons in the 169: 137: 149: 324: 304: 273: 253: 220: 57:. Unsourced material may be challenged and removed. 330: 310: 279: 259: 239: 423: 341:the angle between the horizontal and the plasma 287:is the height of the plasma measured from the 355:Tokamaks can have negative triangularity. 117:Learn how and when to remove this message 406: 14: 424: 144:are characterized by a typical shape. 55:adding citations to reliable sources 26: 240:{\displaystyle \kappa ={b \over a}} 24: 384: 25: 443: 395: 358: 267:is the plasma minor radius, and 201: 31: 42:needs additional citations for 13: 1: 377: 345:(LCFS) at the low field side, 7: 136:such as those generated in 18:Elongation (plasma physics) 10: 448: 163: 373:- with diagram and source 367:- with diagram and source 343:last closed flux surface 311:{\displaystyle \delta } 332: 312: 281: 261: 241: 333: 313: 282: 262: 242: 130:Magnetically confined 322: 302: 271: 251: 218: 51:improve this article 328: 308: 277: 257: 237: 331:{\displaystyle R} 280:{\displaystyle b} 260:{\displaystyle a} 235: 127: 126: 119: 101: 16:(Redirected from 439: 416: 410: 404: 399: 393: 388: 338:and the X point, 337: 335: 334: 329: 317: 315: 314: 309: 289:equatorial plane 286: 284: 283: 278: 266: 264: 263: 258: 246: 244: 243: 238: 236: 228: 122: 115: 111: 108: 102: 100: 66:"Plasma shaping" 59: 35: 27: 21: 447: 446: 442: 441: 440: 438: 437: 436: 422: 421: 420: 419: 411: 407: 400: 396: 389: 385: 380: 361: 323: 320: 319: 303: 300: 299: 272: 269: 268: 252: 249: 248: 227: 219: 216: 215: 204: 166: 123: 112: 106: 103: 60: 58: 48: 36: 23: 22: 15: 12: 11: 5: 445: 435: 434: 418: 417: 405: 394: 382: 381: 379: 376: 375: 374: 368: 360: 359:External links 357: 350: 349: 346: 339: 327: 307: 292: 276: 256: 234: 231: 226: 223: 203: 200: 165: 162: 146:Plasma shaping 125: 124: 39: 37: 30: 9: 6: 4: 3: 2: 444: 433: 430: 429: 427: 414: 409: 403: 398: 392: 391:Triangularity 387: 383: 372: 369: 366: 365:Triangularity 363: 362: 356: 353: 347: 344: 340: 325: 305: 297: 296:triangularity 293: 290: 274: 254: 232: 229: 224: 221: 213: 209: 208: 207: 202:Cross-section 199: 196: 190: 186: 182: 179: 175: 171: 161: 159: 158:cross-section 155: 151: 147: 143: 139: 135: 131: 121: 118: 110: 99: 96: 92: 89: 85: 82: 78: 75: 71: 68: –  67: 63: 62:Find sources: 56: 52: 46: 45: 40:This article 38: 34: 29: 28: 19: 432:Fusion power 415:eg see Fig 1 408: 397: 386: 354: 351: 295: 211: 205: 195:flux surface 191: 187: 183: 174:stellarators 167: 154:axisymmetric 145: 142:stellarators 128: 113: 104: 94: 87: 80: 73: 61: 49:Please help 44:verification 41: 371:Ellipticity 294:the plasma 210:the plasma 107:August 2017 378:References 212:elongation 77:newspapers 306:δ 222:κ 172:and most 426:Category 247:, where 138:tokamaks 170:tokamak 164:History 134:plasmas 132:fusion 91:scholar 178:plasma 93:  86:  79:  72:  64:  98:JSTOR 84:books 150:ITER 140:and 70:news 53:by 428:: 298:, 214:, 160:. 326:R 291:, 275:b 255:a 233:a 230:b 225:= 120:) 114:( 109:) 105:( 95:· 88:· 81:· 74:· 47:. 20:)

Index

Elongation (plasma physics)

verification
improve this article
adding citations to reliable sources
"Plasma shaping"
news
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scholar
JSTOR
Learn how and when to remove this message
Magnetically confined
plasmas
tokamaks
stellarators
ITER
axisymmetric
cross-section
tokamak
stellarators
plasma
flux surface
equatorial plane
last closed flux surface
Triangularity
Ellipticity
Triangularity
The negative triangularity tokamak: stability limits and prospects as a fusion energy system
The negative triangularity tokamak: Stability limits and prospects as a fusion energy system. Medvedev

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