You can certainly add a time-series library (TSL) adapter, e.g., the AdoAdapters, that will archive measurements to a database. Do be aware that this will be very limiting, especially for streaming synchrophasor data, on the volume of data that can be stored effectively - however, for just a few PMUs you should be fine.
For larger scale archiving, we recommend a system like the openHistorian which was designed to archive large volumes of streaming measurement data at high speeds.
For guidance on setting up the AdoAdapters to archive data, I suggest starting here:
openHistorian Historian data to be saved into RDBMS (Oracle/Sql Server) using AdoAdapters - GPA Products / openHistorian - GPA Product Discussions (gridprotectionalliance.org)
Then searching for other discussions related to AdoAdapters and/or database archiving.
Thanks,
Ritchie