Excitation of fishbone and beta-induced Alfvén eigenmode and interaction with energetic particles

It has been shown that various MHD instabilities can interact with fast ions and affect the confinement of them. Synergy of modes with different poloidal harmonics can enhance the fast ion transport. In this work we used the hybrid-MHD code M3D-C1-K to calculate the excitation of MHD instabilities in existence of energetic particles in both NSTX and DIII-D. Our results show that energetic particles can change the characteristic of excited MHD modes. For equilibrium with minimum q value smaller or close to 1, a fishbone mode can be excited. For equilibrium with minimum q larger than 1.1, the fishbone becomes stable but a beta-induced Alfvén eigenmode (BAE) can be excited instead. The result is consistent with the previous work done using NIMROD, and the frequency of BAE is consistent with the calculation of eigenvalue code NOVA. The excited modes have both m=1 and m=2 components, which can lead to particle resonance happening at different flux surfaces and enhance particle transport.