Most　of　bulk　grid　containing　the　integration　of　the　large-scale　wind　power　generations　may　face　the　challenge　of　the　insufficient　voltage　stability　margin　such　that　reliable　monitoring　technologies　of　the　voltage　stability　become　urgent.　Recent　advance　focuses　on　the　accurate　L-index　derived　from　the　coupled　single-port　model　for　the　voltage　stability　assessment.　However,　the　conventional　coupled　single-port　model　cannot　be　compatible　in　a　hybrid　power　grid　containing　wind　power　generators　and　reactive　power　compensators　such　that　the　associate　L-index　becomes　inappropriate.　In　this　paper,　the　augmented　coupled　single-port　model　is　proposed　to　perform　the　accurate　voltage　stability　assessment　under　the　hybrid　power　grid.　Numerical　simulations　on　the　IEEE　14-bus　test　system　is　presented　to　validate　the　accuracy　of　the　proposed　approach.　©　2019　IEEE.