Assessment of dynamic stability of large-scale power system by Rayleigh's quotient

被引：0
|
作者：
Kakimoto, Naoto [1 ]
Sugano, Keiji [1 ]
机构：
[1] Kyoto Univ
来源：
| 1996年 / Scripta Technica Inc, New York, NY, United States卷 / 116期
关键词：
Calculations - Damping - Eigenvalues and eigenfunctions - Electric generators - Matrix algebra - Oscillations - Stabilization - System stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 multimachine systems, which means that design of PSS with one-machine systems controls 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 demonstrates that oscillations do not necessarily become unstable even if there are some generators with negative damping; and the 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. Finally, this method is applied to a 107-machine system to verify its effectiveness.
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