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中文摘要：
电力系统运行状态及参数发生跳变时,系统可能由于仍采用跳变前的时滞控制策略而失稳。针对该问题,提出了基于离散Markov理论的时滞稳定控制策略。首先将基于自由权矩阵的牛顿-莱布尼兹公式与考虑Markov跳变的时滞系统模型引入至Lyapunov-Krasovskii泛函的微分方程中,构造考虑电力系统跳变特性的非线性最小化时滞控制器,在此基础上,利用Schur补对控制算法中的非线性项进行解耦,并将含有非线性项的矩阵不等式转化为标准线性矩阵不等式,从而避免因迭代产生的求解效率低等问题。IEEE 16机68节点系统的时域仿真结果验证了该控制器在电力系统发生跳变前后,均能有效阻尼区间振荡,并可保证跳变后的系统不受跳变前时滞控制策略的影响而失稳;与未考虑跳变的时滞控制方法相比,该方法具有更好的控制效果。
英文摘要：
The jump of power system operation states and parameters may lead to system instability because the system after jumping uses the time-delay control strategy before jumping. In allusion to this problem, the time-delay control strategy based on discrete Markov theory is proposed in this paper. Firstly, Newton-Leibniz formula indicated by free weighting matrix and time-delay system model considering Markov jump are brought into Lyapunov- Krasovskii function. Then nonlinearity minimization controllers considering jump characteristic of power system for time-delay system are formed. On this basis, nonlinear terms in control algorithm are decoupled by using Schur complement. Furthermore, the matrix inequality with nonlinearity terms is transformed to standard linear matrix inequality, thereby avoiding inefficiency caused by iteration. The time-domain simulation results of 16-generators and 68-nodes power system verify the effective control to power system oscillations before and after jumping. And the results also validate the power system after jumping will not become unstable due to the time-delay control strategy before jumping. Compared with time-delay control without considering jump, the proposed method possesses better control effect.
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