A new framework for analyzing stability in distributed generation based on the complete nonlinear synchronous machine model

Distributed generation, along with its advantages, raises new challenges in terms of modeling power systems and conducting stability analysis. In this framework, the stability analysis of synchronous generators plays a key role. Hence, starting from the complete nonlinear model of the generator and formulating suitable storage functions input-to-state stability of the synchronous machine is proven. This constitutes the main contribution of the paper since is the first time that non-simplified generators´ models are used for stability and transient analysis. In an illustrative example, the case of the three-phase synchronous machine coupled to an infinite bus along with a distributed system is simulated to verify the theoretical results.