CAJ | 학술논문

提出了一种基于离散Markov理论的电力系统跳变时滞稳定性分析方法。首先建立了一类考虑Markov转移概率密度矩阵的Lyapunov-Krasovskii泛函，并求解该泛函沿系统的导函数，然后，在该导函数中加入由 Newton-Leibniz公式构造的松散项，以降低保守性，在此基础上，构造一组线性矩阵不等式，并利用广义特征值求解电力系统在运行方式调整、运行参数变化以及负荷功率波动等跳变工况下，所能承受的最大时滞。IEEE 16机68节点系统的时域仿真结果均验证了该方法在考虑电力系统跳变特性的情况下，求解电力系统时滞稳定上限的正确性及有效性。
제출료일충기우리산Markov이론적전력계통도변시체은정성분석방법。수선건립료일류고필Markov전이개솔밀도구진적Lyapunov-Krasovskii범함，병구해해범함연계통적도함수，연후，재해도함수중가입유 Newton-Leibniz공식구조적송산항，이강저보수성，재차기출상，구조일조선성구진불등식，병이용엄의특정치구해전력계통재운행방식조정、운행삼수변화이급부하공솔파동등도변공황하，소능승수적최대시체。IEEE 16궤68절점계통적시역방진결과균험증료해방법재고필전력계통도변특성적정황하，구해전력계통시체은정상한적정학성급유효성。
Based on discrete Markov theory, an analysis method of jump time-delay stability of power system is proposed. Firstly, a kind of Lyapunov-Krasovskii fonctionelle, in which the transition probability density matrix is considered, is established and the derived function of this fonctionelle along the system is solved;then the loose items constructed by Newton-Leibniz formula are added to this derived function to reduce its conservative property; on this basis, a set of linear matrix inequalities are constructed, and the generalized eigenvalue are utilized to solve the maximum time-delay that power system can bear under such jump operating conditions as operation mode adjustment, variation of operating parameters, load fluctuation and so on. Time-domain simulation results of IEEE 16-machine 68-bus system show that the proposed method is effective and correct in the solving of upper limit of power system time-delay stability while the jump characteristics of power system is taken into account.