The formulation of the equations for PV and QV curves normally includes the sending end and receiving end voltages and voltage angle across a transmission line between buses. That is, for real time application it requires communication of data from 2 locations. Local stability indices like dS/dI or dS/dY are single bus data applications. In addition the shape of the curves appear to offer better prediction and margin assesment capability although I have not tested this.
If pv and qv curves you mentioned are the relationships formulated from receiving line end, they cannot reflect the correct nature of a large system under infeasible operating region. It may achieve only for a small system, especially 2 buses.
PV or QV curve can be one profile for voltage stability assessment, but not considerate enough. In some scalar index methods , values of a line's voltage stability conducted on an index-formulation model from different curves (PV and QV) turn out to be inconsistent. ——This is in a paper I am working on.
Looking forward to your reply and discussion!
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