具有时滞的单机无穷大系统的随机稳定性

Stochastic Stability of One Machine Infinite Bus System with Time-delays

随机激励扰动对电力系统稳定性的影响日渐突出,且现实中系统的时滞现象无处不在,则具有时滞的随机稳定性已成为一个重要研究课题。该研究考查一类外部随机激励扰动的时滞延迟的单机无穷大（OMIB）系统的随机稳定性问题。通过构造Lyapunov Krasovskii函数的方法和线性矩阵不等式（LMIs）的技巧,建立了随机激励扰动下该电力系统的随机均方稳定充分性条件,最后通过数值模拟对主要结果进行验证。

The effect of random incentive disturbances to the stability of the power system has been increasingly significant, with the system time-lag phenomenon being ubiquitous, the random stability with the characters of time lag has become an important research topic. This study examines a class of external random incentive disturbances of time lag of one machine-infinity bus（OMIB） system which refers to the issues of random stability. By the means of the method of the construction of Lyapunov-Krasovskii function and the skills of linear matrix inequalities（LMIs）, a random mean square stable sufficiency condition of this power system is set up under the condition of random incentive disturbances. In the end with the use of numerical simulation the validation of main results is tested.