  The aim of the present study is to analyze the effect of the electron
cyclotron heating (ECH) on the linear stability of Alfven Eigenmodes (AE) and
energetic particle modes (EPM) triggered by energetic ions in Heliotron J
plasma. The analysis is performed using the FAR3d code that solves a reduced
MHD model to describe the thermal plasma coupled with a gyrofluid model for the
energetic particles (EP) species. The simulations reproduce the AE/EPM
stability trends observed in the experiments as the electron temperature (Te)
increases, modifying the thermal plasma beta, EP beta and EP slowing down time.
Particularly, the n/m=1/2 EPM and 2/4 Global AE (GAE) are stabilized in the low
bumpiness (LB) configuration due to an enhancement of the continuum, Finite
Larmor radius (FLR) and e-i Landau damping effects as the thermal beta
increases. On the other hand, a larger ECH injection power cannot stabilize the
AE/EPM in Medium (MB) and High bumpiness (HB) configurations because the
damping effects are weaker compared to the LB case, unable to balance the
further destabilization induced by an enhanced EP resonance as the EP slowing
down time and EP beta increases with Te
