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作 者:孙妙平[1] 姜波[1] SUN Miao-ping;JIANG Bo(School of Automation,Central South University,Changsha Hunan 410000,China)
出 处:《控制理论与应用》2020年第11期2303-2311,共9页Control Theory & Applications
基 金:国家自然科学基金项目(61803385)资助.
摘 要:本文考虑发电机的输出限制和邻居间交换信息时的通信时滞,提出了一种新的权重平衡图下的分布式经济调度算法,该算法对所有发电成本函数为强凸的发电机组成的电力系统都适用.分析了算法的平衡点与发电机最优输出功率之间的关系,并基于Lyapunov稳定性理论和凸分析理论,采用时滞分割的方法,得到了使得算法收敛的充分条件.然后应用该条件,得到了给定参数下的时滞上界,并且定性分析了参数对系统收敛速度的影响.最后,五机电力系统的仿真结果验证了算法的可行性和优越性.This paper considers the output limit of the generator and the communication delay when exchanging information between neighbors,and proposes a new distributed economic scheduling algorithm under the weight balance diagram.This algorithm is applicable to all power systems composed of generators whose generation cost function is a strong convex function.The relationship between the balance point of the algorithm and the optimal output power of the generator is analyzed,and based on the Lyapunov stability theory and the convex analysis theory,the time-delay segmentation method is used to obtain sufficient conditions for the algorithm to converge.Then applying this condition,the upper bound of the time delay under a given parameter is obtained,and the effect of the parameter on the system convergence rate is qualitatively analyzed.Finally,the simulation results of the five-machine power system verify the feasibility and superiority of the algorithm.
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