采样系统的稳定性分析及其在电力市场的应用

Stability Analysis of Sampling System and Its Application in Electric Power Market

基于Lyapunov稳定理论研究非周期采样控制系统的稳定性问题.首先,通过充分利用系统的状态信息,构建出新的增广型Lyapunov-Krasovskii泛函,并引入零等式来放宽泛函的正定条件;其次,在对泛函导数进行界定时,应用自由矩阵积分不等式方法估计泛函导数中的积分项,得到了更小保守性的稳定性判据.最后,借助一个经典的数值实例来验证所提方法的有效性.同时,还将所提方法应用于电力市场的稳定性分析,分析了时滞与市场结算周期对电力市场稳定性的影响,进一步表明了方法的有效性与实用性.

This paper studies stability of aperiodic sampling control system based on Lyapunov stability theory.First,it constructs a new augmented Lyapunov-Krasovskii functional by making full use of the state information of the system,and it introduces zero equation to relax the terms of the positive definition.Secondly,in defining the functional derivative,it applies free-matrix-based integral inequality method to estimate the functional derivative integral item so as to get less conservative stability criterion.Finally,by virtue of a classic numerical example,it verifies the validity of the proposed method.Meanwhile,it will also applies method mentioned above to the stability analysis of electric power market,analyzing influence of the time delays and market settlement period on stability of the electric power market and further showing effectiveness and practicality of the method.