CAJ | 학술논문

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。
침대기우직접법분석전력계통시체은정결과존재보수성적문제，구조신형 Lyapunov 범함，득도개진적로봉은정성판거，소득결과거제료현유결과대시변시체가미성급도수적한제，강저료결과적보수성。차외，저사유선성구진불등식형식급출적은정성판거，가통과선성구진불등식공구상진행구해。최후，이단궤무궁대계통화 WSCC 3궤9절점계통위례，계산계통적시체은정유도，방진결과표명소제방법적유효성화실용성。
In view of the conservativeness of the stability analysis based on the direct method,an improved robust stability criterion is developed.A novel Lyapunov functional is constructed.With the restrictions on the differentiability and the derivative of time-varying delay removed, the conservativeness is reduced. Furthermore, the results obtained that are formulated in the form of linear matrix inequalities (LMI) can be effectively solved using the LMI toolbox.Finally,the single machine system and WSCC 3-generator-9-bus system are employed to calculate the delay margin.The effectiveness and practicality of the method proposed is verified by simulation results.