A Basic Study of the application of Implicitly Restarted Arnoldi Method to the Small Signal Stability of Large Power Systems

Implicitly Restarted Arnoldi Method를 이용한 대형전력계통 소신호안정도 적용 기초 연구

This paper describes implicitly restarted Arnoldi method (IRAM), which is a technique for combining the implicitly shifted QR mechanism with a k-step Arnoldi factorization to obtain a truncated form of the implicitly shifted QR-iteration. IRAM avoids numerical difficulties and storage problems normally associated with Arnoldi. This paper deals with the basic algorithms of IRAM as an intial research phase for developing the full featured eigenvalue analysis program for large power system up to 30,000 states.