  This paper presents several stability analyses for grid-forming inverters and
synchronous generators considering the dynamics of transmission lines and
different load models. Load models are usually of secondary importance compared
to generation source models, but as the results show, they play a crucial role
in stability studies with the introduction of inverter-based resources. Given
inverter control time scales, the implications of considering or neglecting
electromagnetic transients of the network are very relevant in the stability
assessments. In this paper, we perform eigenvalue analyses for inverter-based
resources and synchronous machines connected to a load and explore the effects
of multiples models under different network representations. We explore maximum
loadability of inverter-based resources and synchronous machines, while
analyzing the effects of load and network dynamic models on small-signal
stability. The results show that the network representation plays a fundamental
role in the stability of the system of different load models. The resulting
stability regions are significantly different depending on the source and load
model considered.
