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Hey
It is not possible to get the A matrix from PSS/E without having NEVA http://www.energy.siemens.com/us/pool/hq/services/power-transmission-distribution/power-technologies-international/software-solutions/PTIFFENSWNMNEVA_1211.pdf and you have to buy it.
I have used the prony analysis in the pssplt to calculate eigenvalues you can find how to operate it in the users manual.