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针对基于直接法分析电力系统时滞稳定结果存在保守性的问题,构造新型Lyapunov泛函,得到改进的鲁棒稳定性判据,所得结果去除了现有结果对时变时滞可微性及导数的限制,降低了结果的保守性。此外,这些由线性矩阵不等式形式给出的稳定性判据,可通过线性矩阵不等式工具箱进行求解。最后,以单机无穷大系统和WSCC 3机9节点系统为例,计算系统的时滞稳定裕度,仿真结果表明所提方法的有效性和实用性。
Aiming at the problem that the stability of the power system delay is conservative based on the direct method, the new Lyapunov functional is constructed and the improved robust stability criterion is obtained. The obtained results remove the existing results of time-varying skewness and derivative Of the restrictions, reducing the conservation of the results. In addition, the stability criteria given by the form of linear matrix inequalities can be solved by the linear matrix inequality toolbox. Finally, taking the single machine infinite system and the WSCC 3-machine 9-node system as an example, the stability margin of the system is calculated, and the simulation results show the effectiveness and practicability of the proposed method.