Sustainability goals basically change the power generation portfolio, as the renewable energy resources developing rapidly. This means system integration challenges for system operators, as these new resources have different attributes. Most of the emerging generation technologies connect to the grid via power electronic converters, therefore does not contribute inherently to the system’s rotational inertia. However, advanced control methods became a progressive research area, where many practical pilots deliver valuable results and discussions nowadays. These stability enhancement techniques have great potential to enhance security of supply with synthetic inertia services. This paper aims to review generation-driven stability analysis techniques based on the modelling methods used for the nonsynchronous generators. Based on the stability phenomena (angle, frequency), system size, generation portfolio, computational time the adequate methods could be quite different. The proposed extension of the stability classification convers the need of different approaches with the integration of non-synchronous generation. Based on the review presented in this paper, the stability assessment needs for a specific system operator can be identified to choose the appropriate modelling assumptions. This can help system operators in long-term planning (stability adequacy) and in the dynamic security assessment tasks as well, both on the identification of possible issues and evaluate the countermeasures.