Physics of fusion power. Lecture 4: Cylindrical concepts. Force on the plasma. One obtains Important parameter (also efficiency parameter) the plasma-beta. Magnetic field pressure Magnetic field tension. Flux conservation.
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Lecture 4: Cylindrical concepts
Magnetic field pressure Magnetic field tension
If no magnetic field is used for confinement
The z-pinchCylindrical concepts
Drawing of the plasma pressure and the magnetic field pressure as a function of the radius (r = 0
Is the centre of the plasma)
Drawing of the plasma pressure and the magnetic field pressure as a function of the radius for the case in which the maximum pressure is reached
Diamagnetic current J generated by the pressure gradient
Ions and electrons gyrate around the magnetic field line in the opposite direction.
Two gyrating ions. Due to the density gradient there are more particles moving down compared with up
Radial profiles of pressure current and magnetic field for a z-pinch
Ramping of the current will increase the magnetic field which will compress the plasma
The z-pinchConfinement in the Z-pinch
The Z-pinch is unstable. Most relevant instability is the kink