Simplified transmission and generation system analysis procedures for subsynchronous resonance problems

L.A. Kilgore, D.G. Ramey, M.C. Hall
1977 IEEE Transactions on Power Apparatus and Systems  
An analysis of subsynchronous resonance problems requires a clear understanding of the physical relationships that produce the phenomenon. This paper presents these relationships and uses them to derive a number of useful formulas for studying the problems. The mathematical basis of these formulas is shown and the approximations required for their derivation are described. These formulas are most useful in planning a series capacitor compensated transmission system to avoid or minimize
more » ... onous resonance problems, This application is the subject of a companion paper. SYMBOLS Vevoltage at frequency fe resulting from rotor oscillation. fnnormal system electrical frequency (60 Hz for U.S. systems). feelectrical oscillation frequency (base frequency f fm). fmtorsional resonant frequency. a0generator steady state air gap flux. Aoper unit magnitude of velocity deviation. Dmdamping coefficient for the modal frequency. Rper unit resistance. Z per unit impedance. Hmeffective modal inertia constant ( a s derived in Appendix 2). Bmtrelative deflection of a turbine for mode m.
doi:10.1109/t-pas.1977.32517 fatcat:a6azhh7mnbbmfkyhfdg3ojq3bu