IEEJ Transactions on Power and Energy
Online ISSN : 1348-8147
Print ISSN : 0385-4213
ISSN-L : 0385-4213
Assessment of Dynamic Stability of Large-Scale Power System by Rayleigh's Quotient
Naoto KakimotoKeiji Sugano
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1995 Volume 115 Issue 2 Pages 111-116

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Abstract

In this paper, a method of assessing dynamic stability of large-scale power system by Rayleigh's quotient, is proposed. One-machine infinite-bus systems show damping torque characteristics similar to diagonal components of operational transfer matrices for original multi-machine systems, which means that design of PSS with one-machine systems is exactly to control those components. An expression for damping constants of oscillation modes is derived based on an energy function and its time derivative for a simplified system representation. This expression clarifies that oscillations do not necessarily become unstable even if there are some generators with negative damping, and that effect of damping torque is determined by eigenvectors. The expression is generalized with Rayleigh's quotient, and a method of estimating eigenvalues of large-scale power systems is proposed. With this method, approximate eigenvalues are refined to accurate eigenvalues. Only a specified number of eigenvalue analyses are required irrespective of the number of generators, hence much calculation is saved. Lastly, this method is applied to a 107-machine system to verify its effectiveness.

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© The Institute of Electrical Engineers of Japan
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